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Article
Evaluation of Yogurt Quality during Storage by
Fluorescence Spectroscopy
Haifeng Sun 1 , Ling Wang 1 , Hao Zhang 1, * , Ang Wu 1 , Juanhua Zhu 1 , Wei Zhang 1 and
Jiandong Hu 1,2
 1    College of Mechanical and Electrical Engineering, Henan Agricultural University, Zhengzhou 450002, China;
      haifengdreams@sina.cn (H.S.); wangling0351@126.com (L.W.); cwuang@163.com (A.W.);
      zhujh88@sina.com (J.Z.); zw@henau.edu.cn (W.Z.); jiandonghu@163.com (J.H.)
 2    State Key Laboratory of Wheat and Maize Crop Science, Zhengzhou 45002, China
 *    Correspondence: hao.zhang2016@hotmail.com; Tel.: +86-0371-6355-8040
                                                                                                      
 Received: 10 December 2018; Accepted: 25 December 2018; Published: 2 January 2019                    

 Featured Application: This work provides a potential for the evaluation of yogurt quality during
 storage by fluorescence spectroscopy.

 Abstract: The physico-chemical parameters including pH and viscosity, and the fluorescence signal
 induced by fluorescent compounds presenting in yogurts such as riboflavin and porphyrin were
 measured during one week’s storage at room temperature when five brands of yogurt samples were
 exposed to ambient air. The fluorescence spectra of yogurt showed four evident emission peaks,
 525 nm, 633 nm, 661 nm, and 672 nm. To quantitatively investigate the quality of yogurt during
 deteriorating, a calculating method of the average rate of change (ARC) was proposed to study
 the relative change of fluorescence intensity in the spectral range of 600 to 750 nm associated with
 porphyrin and chlorin compounds. During the storage, the time evolution of two ARC, pH value,
 and viscosity were regular. Moreover, the ARC showed a good linear relationship with pH value and
 viscosity of yogurt. Further, multiple linear regression (MLR) models using two ARC as independent
 variables were developed to verify the dependence of fluorescence signal with pH value and viscosity,
 which showed a good linear relationship with an R-square of more than 85% for each class of
 yogurt. The results demonstrate that fluorescence spectra have a great potential to predict the quality
 of yogurt.

 Keywords: fluorescence spectroscopy; yogurt quality; deteriorating; pH; viscosity

1. Introduction
     Yogurt, as one kind of dairy products, has attracted more and more attention in recent years,
especially since various brands of yogurt now contain special strains of “probiotics” that can help
boost the immune system and promote a healthy digestive tract. Yogurt provides not only rich nutrient
elements from milk but also varieties of vitamins produced in the process of bacterial fermentation
of milk, which can contribute to health care and prevent diseases [1]. However, when exposed to
ambient air, yogurt is vulnerable to microbial contamination and, thus, spoiled. In addition, with the
fast development of the yogurt industry, various types of yogurt emerge in the market, followed by
the difference in yogurt quality and flavor. Therefore, the accurate identification of different yogurt
species and the quantitative evaluation of yogurt quality become very important for the development
of the dairy industry.
     The traditional detection methods for yogurt quality include biological and chemical methods,
such as the standard plate colony counting method for bacterial plate counts and chromatography-mass

Appl. Sci. 2019, 9, 131; doi:10.3390/app9010131                                  www.mdpi.com/journal/applsci
Appl. Sci. 2019, 9, 131                                                                            2 of 10

spectrometry for protein structure analysis [2–5]. However, these methods are time-consuming,
labor-intensive, cumbersome, and destructive. Optical spectroscopy techniques have been widely
used to study dairy products due to their advantages of being rapid, having high sensitivity, and being
non-invasive. Near-infrared spectroscopy (NIR) technique allows rapid and accurate determination
of typical chemical structures presenting in nutrients, such as C–H, N–H, and O–H, due to their
characteristic absorption spectrum in the near-infrared range (750–2500 nm) caused by the molecular
transition [6–10]. Based on visible/NIR spectroscopy, principal component analysis (PCA) and artificial
neural network (ANN) has been used for the discrimination of five kinds of yogurt, as well as for the
determination of the sugar content and acidity of yogurt [11,12]. Ultraviolet (UV)-visible spectroscopy
is a rapid and alternative technique that provides chemical information, which has been used to
monitor the stability of yogurt samples stored at 4 ◦ C up to 49 days [13]. Laser-induced fluorescence
(LIF) spectroscopy is a well-known noninvasive method for highly sensitive and selective analysis
of molecules, which has been used for the qualitative estimation of proteins in milk at different
milking times and for the freshness detection of milk, as well as for studies on deterioration of fresh
milk [14–16]. Spatially resolved diffuse reflectance spectroscopy has been used to non-invasively
evaluate the fat content in milk and yogurt by measuring the reduced scattering and absorption
properties [17]. Although several studies have been conducted, most of which were focused on the
quantitative analysis of nutritional components in milk, to our knowledge, few studies have been
developed to address the changes of the fluorescence signal and the physico-chemical parameters
(such as pH value and viscosity) during yogurt deterioration.
      The basic aim of this work was to explore the potential for fast and accurate evaluation of yogurt
quality by measuring the fluorescence spectra, pH value, and viscosity during storage. A total of five
typical brands of yogurt were investigated. Linear discrimination analysis (LDA) was first attempted
to distinguish different yogurt species. To quantify the fluorescence spectra related to porphyrin
and chlorin compounds, a calculating method of the average rate of change (ARC) was proposed.
Subsequently, the time-dependent ARC, pH value, and viscosity in the process of yogurt storage were
analyzed. In the end, multiple linear regression (MLR) models were built to evaluate the relationship
between the fluorescence signal with the physico-chemical parameters pH value and viscosity.

2. Materials and Methods

2.1. Yogurt Samples
     Five typical brands of yogurt in China indicated with the same manufacture date and the same
shelf life were purchased at a local super-market in Zhengzhou, China. The five brands are HuaHuaNiu
(from Zhengzhou, China), JunLeBao (from Shijiazhuang, China), MengNiu (from Neimenggu, China),
YiLi (from Neimenggu, China), and GuangMing (from Shanghai, China), which are named by classes
A, B, C, D, and E, respectively. The ingredients in yogurt mainly consist of raw milk (≥80%),
food additives, and lactobacillus. For each type of yogurt, 20 samples were selected for fluorescence
spectral measurements. A total of 100 samples were obtained and placed in glass cups. For the quality
measurement of yogurt during storage, all samples were stored in a compartment with the temperature
maintained at 23 ◦ C by means of an air conditioner.

2.2. Experimental Setup
       A typical LIF spectrum measurement system was constructed with a diode laser, a high-pass
filter, three biconvex lenses, a multi-mode fiber, and a fiber-optical spectrometer. The diode laser with
an emission wavelength of 405 nm and an output power of 50 mW shot the light onto the surface
of the yogurt sample by a focusing lens. The excited fluorescence was collected by an optical unit
consisting of a high-pass filter as well as two focusing lenses with the same focusing lens. To decrease
the directly reflected light from the surface of the yogurt sample, the optical unit was arranged with a
45-degree angle. After that, the scattered excitation light was further suppressed by using a high-pass
Appl. Sci. 2019, 9, 131                                                                              3 of 10

filter with the cutoff wavelength of 420 nm. The sample fluorescence was focused into the port
of a multi-mode optical fiber with a core diameter of 600 µm and then transported to a portable
spectrometer (USB2000+, Ocean Optics, USA). In the end, the spectral data were stored by a personal
computer (PC) for further analysis.

2.3. pH and Viscosity Measurements
     The pH value and viscosity of the yogurt samples were measured using a pH-meter (pH-100,
Lichen Instruments, Shanghai, China) and a viscometer (LND-1, Lichen Instruments, Shanghai, China),
in the condition of room temperature. Before measurements, the pH-meter was calibrated using
standard buffer solutions of pH = 4.00, pH = 6.86, and pH = 9.18 at room temperature (about 25 ◦ C).
After each measurement, the pH-meter and viscometer were washed with ultra-pure water. For each
sample, three independent measurements were performed to obtain the average value.

2.4. Statistical Analysis
     In this work, linear discriminant analysis (LDA) based on the principal component analysis (PCA)
was firstly used for identifying five species of yogurt. Principal component analysis (PCA) is an
unsupervised dimension-descending method, which reduces the dimensions of the original spectral
data matrix with the minimal loss of information by decomposing the data matrix into a structure part
and a noise part. The decomposing process is expressed by [18]

                                                  X = TP T + E                                          (1)

where P is the transformation matrix (or loading matrix) between the original variable space and the
new data space decided by the principal components (PCs). The loading vectors in the matrix P are the
representations of the principal components in the original variables. T is the score coefficient matrix,
which are the coordinates of all data points in the new principal component space. E represents the
residual noise.
     The principle of LDA is to find out a so-called discriminant function which best separates
the classes by minimizing the distance of within-class samples and maximizing the distance
of between-class samples. The LDA is also a projection method by projecting the data into a
multidimensional straight line and then selecting an appropriate line to separate the different data
points. The projection function is given as:

                                               y j = w Tj x + w j0                                      (2)

where, x ∈ X j , Xj is the jth sample set. j = 1, 2, . . . , k, k is the class number of the total samples.
Then the discriminant function is given by [19]:

                                              ∏ W T Sb W
                                             diag                d     wiT Sb wi
                                  J (W ) =                     =∏                                       (3)
                                             ∏      WTS   wW    i =1   wiT Sw wi
                                             diag

where W is the projection matrix composing of the maximum eigenvalue of the matrix, d is the number
of the maximum eigenvalue. Sw and Sb are the within-class scatter matrix, and the intra-class scatter
matrix, respectively, which are expressed by:

                                              k
                                      Sb =   ∑ Nj (µ j − µ)(µ j − µ)T                                   (4)
                                             j =1

where µ is the mean value of the total samples, µj is the mean value of the jth class samples, Nj is the
number of the j-class samples.
Appl.
Appl.   Sci.
      Sci.   2019,9 9,
           2019,    FOR131 PEER REVIEW                                                                               4 of 10   4

       In this study, after performing PCA to reduce the dimensionality of variables, LDA was carried
3. Results and Discussion
  out to develop a linear discrimination model by using the score values of the first six PCs that gave
  more than 99.9% explained percentage.
3.1. Spectral Investigation
  3. Results and Discussion
      Fluorescence spectra were obtained in the wavelength range of 339.98 nm to 1028.70 nm with a
resolution of 0.38 nm. Each spectrum includes 2048 data points which are decided by the linear CCD
  3.1. Spectral Investigation
array of USB 2000+ spectrometer. To reduce the number of data points available for multivariate
        Fluorescence
analysis,   the spectra  spectra
                            in thewere   obtained in
                                    wavelength         the wavelength
                                                     range    of 410 to 910  range
                                                                                nm,ofwhere
                                                                                       339.98 all
                                                                                               nmavailable
                                                                                                     to 1028.70fluorescence
                                                                                                                   nm with
  a resolution
signals           of 0.38 nm.
          are included,      wasEach   spectrum
                                  selected.         includes fluorescence
                                             The average        2048 data points    which
                                                                                spectra     are decided
                                                                                          measured      from byfive
                                                                                                                 the different
                                                                                                                      linear
  CCD    array  of USB   2000+   spectrometer.   To  reduce   the  number    of data points
kinds of yogurt are shown in Figure 1. As can be observed clearly, there are several spectralavailable   for  multivariate
  analysis, thebands
wavelength       spectrathat
                           in the wavelength
                               might            range ofinteresting.
                                       be particularly      410 to 910 nm,Thewhere   all available
                                                                                prominent    emissionfluorescence
                                                                                                          band with  signals
                                                                                                                         a peak
  are included, was selected. The average fluorescence spectra measured from five different kinds of
wavelength of 525 nm located in the wavelength range of 500 to 600 nm has almost the same spectral
  yogurt are shown in Figure 1. As can be observed clearly, there are several spectral wavelength bands
shape for five kinds of yogurt, which means that the emission spectra in this range should be
  that might be particularly interesting. The prominent emission band with a peak wavelength of 525 nm
attributed by the fluorophores presenting in raw milk, such as tryptophan, nicotinamide adenine
  located in the wavelength range of 500 to 600 nm has almost the same spectral shape for five kinds of
dinucleotide (NADH), vitamin A, riboflavin, and Maillard products [20,21]. Another interesting
  yogurt, which means that the emission spectra in this range should be attributed by the fluorophores
region is from 600 to 750 nm, where five different narrow emission bands occur. The first emission
  presenting in raw milk, such as tryptophan, nicotinamide adenine dinucleotide (NADH), vitamin A,
band   appears approximately at 633 nm, which has a similar spectral shape for different kinds of
  riboflavin, and Maillard products [20,21]. Another interesting region is from 600 to 750 nm, where five
yogurt    samples.
  different  narrowAn      apparent
                       emission        double
                                   bands   occur.peak
                                                   The appearing
                                                         first emission at about   661 nmapproximately
                                                                            band appears     and 672 nm have    at 633anm,slight
difference
  which hasinathe    spectral
                 similar        intensity,
                           spectral  shape for
                                            for example,     the peak
                                                different kinds          intensity
                                                                     of yogurt      at 661 nm
                                                                                 samples.         of class Ddouble
                                                                                            An apparent        is far less
                                                                                                                       peak than
that
  appearing at about 661 nm and 672 nm have a slight difference in the spectral intensity, for example, be
      at  672  nm.   These    narrow    emission    peaks    in  the  red  and   near-infrared     (NIR)   region    might
produced       by the atpresence
  the peak intensity                    of porphyrin
                            661 nm of class  D is far less and      chlorin
                                                             than that   at 672compounds
                                                                                nm. These narrowin yogurt,
                                                                                                       emissionmostpeakslikely
                                                                                                                           in
protoporphyrin,      hematoporphyrin,        chlorophyll      a and  chlorophyll    b  [22,23].  In
  the red and near-infrared (NIR) region might be produced by the presence of porphyrin and chlorin addition,    a small   peak
appearing
  compounds  at about    420 most
                 in yogurt,    nm islikely
                                      the same    for both thehematoporphyrin,
                                           protoporphyrin,        spectral shape and      intensity afor
                                                                                        chlorophyll      andthechlorophyll
                                                                                                                 five kinds of
yogurt,   which
  b [22,23].       should be
              In addition,      attributed
                             a small         to the fluorescence
                                      peak appearing     at about 420  signal
                                                                          nm isfrom   the high-pass
                                                                                 the same  for both the filter  whenshape
                                                                                                           spectral     excited
with
  and405    nm laser
       intensity       so this
                   for the  five peak
                                 kindscan   be ignored
                                        of yogurt,   which inshould
                                                               the present    study. to the fluorescence signal from
                                                                       be attributed
  the high-pass filter when excited with 405 nm laser so this peak can be ignored in the present study.

                                                     25
                                                                                              A
                                                                                              B
                                                                                              C
                                                     20                                       D
                                                                                              E
                         Relative intensity (a.u.)

                                                     15

                                                     10

                                                      5

                                                      0
                                                      410   510   610        710    810           910
                                                                  Wavelength (nm)

       Figure 1. Average fluorescence spectra of five brands of yogurt (HuaHuaNiu, JunLeBao, MengNiu,
      Figure 1. Average fluorescence spectra of five brands of yogurt (HuaHuaNiu, JunLeBao, MengNiu,
       YiLi, and GuangMing).
      YiLi, and GuangMing).

3.2. Yogurt Classification Based on LDA
    Based on the PCA score coefficient matrix, LDA was used to improve the classification accuracy
between different brands of yogurt that were difficult to separate using only PCA. Since the number
Appl. Sci. 2019, 9, 131                                                                                               5 of 10

3.2.Appl.
     Yogurt    Classification
          Sci. 2019,          Based
                     9 FOR PEER     on LDA
                                REVIEW                                                                                          5

      Based on the PCA score coefficient matrix, LDA was used to improve the classification accuracy
   of PCs selected for the LDA model will influence the classification result, the first six PCs accounting
between different brands of yogurt that were difficult to separate using only PCA. Since the number of
   for over 99.99% of the total variance of the data matrix were chosen as the optimal variables to
PCs selected for the LDA model will influence the classification result, the first six PCs accounting for
   develop the LDA discrimination model. Thus, the 100 × 1459 data matrix of fluorescence spectra was
over 99.99% of the total variance of the data matrix were chosen as the optimal variables to develop the
   transformed to a new dataset consisting of a 100 × 6 data matrix. To establish a suitable LDA
LDA discrimination model. Thus, the 100 × 1459 data matrix of fluorescence spectra was transformed
   discrimination model and then evaluate the model, the new dataset was divided into a training set
to a new dataset consisting of a 100 × 6 data matrix. To establish a suitable LDA discrimination model
   and a prediction set. Each set consists of 50 fluorescence spectra (a 50 × 6 data matrix), where the
and then evaluate the model, the new dataset was divided into a training set and a prediction set.
   training set was used to establish the LDA discrimination model, and the prediction set was used to
Each set consists of 50 fluorescence spectra (a 50 × 6 data matrix), where the training set was used to
   predict the feasibility of discrimination model.
establish the LDA discrimination model, and the prediction set was used to predict the feasibility of
         Figure 2a depicts the discrimination results of different yogurt brands by means of 2D scatter
discrimination model.
   plot of the first two most important discriminant functions, an 85% confidence ellipse was used to
      Figure 2a depicts the discrimination results of different yogurt brands by means of 2D scatter
   describe the accuracy of predicted discrimination. As can be obserrved clearly, the yogurt samples
plot of the first two most important discriminant functions, an 85% confidence ellipse was used to
   are reasonably well discriminated. The samples of the classes A, B, and D show a good separation,
describe the accuracy of predicted discrimination. As can be obserrved clearly, the yogurt samples are
   while the samples of the classes C and E have several overlaps, which might produce some
reasonably well discriminated. The samples of the classes A, B, and D show a good separation, while the
   misclassifications.
samples of the classes C and E have several overlaps, which might produce some misclassifications.

      Figure 2. (a) Linear discriminant analysis for five different brands of yogurt samples (A, B, C, D,
         Figure 2. (a) Linear discriminant analysis for five different brands of yogurt samples (A, B, C, D, and
      and E) based on the first two discriminant functions; (b) Bar plot of LDA discrimination model for the
         E) based on the first two discriminant functions; (b) Bar plot of LDA discrimination model for the
      predication set from five different kinds of yogurt.
         predication set from five different kinds of yogurt.
      The predicted classification result of the LDA model is shown in Figure 2b, where the classes A,
B, C, D,The
         andpredicted       classification
               E are indicated               resultofofblue,
                                    by the color        the LDA
                                                              green,model   is shown
                                                                      red, cyan,   andin  Figurerespectively.
                                                                                        mauve,     2b, where the  It classes
                                                                                                                     can be A,
   B, C, D,  and  E  are  indicated    by  the  color  of  blue,  green,  red,  cyan, and  mauve,
observed clearly that almost all the fluorescence spectra of yogurt samples (47 samples) except      respectively.     It five
                                                                                                                          can be
   observed
samples   fromclearly
                 class Ethat   almost
                           in the       all the fluorescence
                                   prediction    set were correctlyspectra  of yogurt samples
                                                                         discriminated.           (47 samples)
                                                                                           For these               except five
                                                                                                       five misclassified
   samples    from   class  E  in the  prediction    set  were   correctly   discriminated.   For  these
samples from class E, one was identified as the class A, and the other four were identified as the class  five  misclassified
   samples from
C. Therefore,   theclass
                     classesE, one
                                A, B,was
                                      andidentified
                                            D have aas     the class
                                                        good          A, and the other
                                                               discrimination,           four were identified
                                                                                   the misclassification    of theasclasses
                                                                                                                       the class
   C. Therefore,
C and   E are mostlythecaused
                         classes byA, the
                                      B, and   D have
                                           overlap        a good discrimination,
                                                      of discriminant                 the misclassification
                                                                          functions shown     in Figure 2a. Theof the     classes
                                                                                                                     results
   C  and  E are  mostly     caused   by  the  overlap   of  discriminant     functions  shown    in
demonstrate the LDA discrimination model can be successfully employed for the accurate classificationFigure   2a. The     results
   demonstrate
of yogurt  brands.the LDA discrimination model can be successfully employed for the accurate
   classification of yogurt brands.
3.3. The Quality Evaluation
   3.3. The Quality Evaluation
      Each sample was regularly measured over a period of one week to monitor the deterioration
process Each    sample
          of yogurt       was regularly
                       samples,              measured
                                    measurements        wereoverperformed
                                                                  a period of at one  week to
                                                                                 a regular  timemonitor
                                                                                                   every the
                                                                                                           daydeterioration
                                                                                                                 since the
   process of
porphyrins    andyogurt
                   chlorinssamples,    measurements
                               naturally                    were both
                                           existing in yogurt       performed
                                                                         can be at  a regular
                                                                                 acted          time every day
                                                                                        as photosensitizers,    which sincearethe
   porphyrins
highly  sensitiveand   chlorins
                   to light        naturally
                             and easy          existing
                                        to suffer from in    yogurt bothdegradation.
                                                          light-induced     can be actedBy as selecting
                                                                                              photosensitizers,     which are
                                                                                                         the fluorescence
   highlyband
spectral    sensitive
                 in the to    light andrange
                          wavelength        easy ofto 600
                                                       suffer    from
                                                            to 650   nm,light-induced    degradation.
                                                                          where five narrow               By selecting
                                                                                                 shape emission       peaksthe
   fluorescence spectral band in the wavelength range of 600 to 650 nm, where five narrow shape
   emission peaks attributed to the porphyrins and chlorins are presented, the normalized fluorescence
   spectra of five brands of yogurt are shown in Figure 3A–E. During the successive measurements
   from one to seven days, these emission peaks exhibit major changes due to the photodegradation of
Appl. Sci. 2019, 9, 131                                                                                                                                                                                                                                                           6 of 10

attributed to the porphyrins and chlorins are presented, the normalized fluorescence spectra of five
Appl. Sci. 2019, 9 FOR PEER REVIEW                                                                   6
brands of yogurt are shown in Figure 3A–E. During the successive measurements from one to seven
days, these emission peaks exhibit major changes due to the photodegradation of the porphyrins and
the porphyrins and chlorins. Therefore, these fluorescence peaks can be used as indicators to
chlorins. Therefore, these fluorescence peaks can be used as indicators to estimate the changes of the
estimate the changes of the porphyrins and chlorins during yogurt deterioration.
porphyrins and chlorins during yogurt deterioration.

                                           1.5                                                                                            1.5                                                                                               1.5
                                                                                                  A                                                                                                 B                                                                  C
         Normalized intensity (a.u.)

                                                                                                            Normalized intensity (a.u.)

                                                                                                                                                                                                              Normalized intensity (a.u.)
                                            1                                                                                              1                                                                                                 1

                                           0.5                                                                                            0.5                                                                                               0.5

                                            0                                                                                              0                                                                                                 0
                                            600                                  650        700       750                                  600        650                                   700         750                                  600        650   700           750
                                                                 Wavelength (nm)                                                                    Wavelength (nm)                                                                                Wavelength (nm)

                                                                                1.5                                                                                                   1.5
                                                                                                                                          D                                                                                                        E
                                                  Normalized intensity (a.u.)

                                                                                                                                                        Normalized intensity (a.u.)

                                                                                                                                                                                                                                                                    Day 1
                                                                                                                                                                                                                                                                    Day 2
                                                                                    1                                                                                                  1
                                                                                                                                                                                                                                                                    Day 3
                                                                                                                                                                                                                                                                    Day 4
                                                                                                                                                                                                                                                                    Day 5
                                                                                0.5                                                                                                   0.5                                                                           Day 6
                                                                                                                                                                                                                                                                    Day 7

                                                                                    0                                                                                                  0
                                                                                    600     650       700                                     750                                      600          650                                     700        750
                                                                                          Wavelength (nm)                                                                                         Wavelength (nm)

      Figure 3. Normalized fluorescence spectra of each kind of yogurt during the measurements over
      Figure
      one    3. Normalized fluorescence spectra of each kind of yogurt during the measurements over one
          week.
                                                     week.
     To extract the spectroscopic information related to time-dependent deterioration process of yogurt,
a calculating method
     To extract         of the average information
                   the spectroscopic      rate of change       (ARC)to
                                                             related   was  proposed, which
                                                                          time-dependent    can be used to
                                                                                           deterioration     evaluate
                                                                                                           process   of
the relative
yogurt,      change ofmethod
         a calculating     fluorescence
                                    of the intensity
                                            average rate in a of
                                                               given  spectral
                                                                 change        range.
                                                                           (ARC)      The formula
                                                                                 was proposed,       for ARC
                                                                                                 which    can becan be
                                                                                                                  used
expressed
to evaluateby:
             the relative change of fluorescence intensity in a given spectral range. The formula for
ARC can be expressed by:                                    ∆I      Iλ − Iλ2
                                             Kλ1 /λ2 =           = 1                                                (5)
                                                            ∆λ       λ1 − λ2
                                                               ΔI I λ1 − I λ2
where Iλ1 and Iλ2 are the fluorescence intensity  K λ1 / λ2 = at the
                                                                   = wavelength of λ1 and λ2 . Considering the      (5)
                                                              Δλ λ1 − λ2
fluorescence change related to porphyrin and chlorin compounds                   in the wavelength range of 600 to
                      I622 − I633
750 nm,IK
where       and I=
         λ 622/633           the was
                       are−633
                    λ 622
                                       defined for
                                  fluorescence
                                       1
                                                     estimating
                                                 intensity           thewavelength
                                                                at the          2
                                                                                    of λ1 and λpeak
                                                                         change of fluorescence        at 622 nm and
                                                                                                 2 . Considering the
                              661 − I672
633  nm, K661/672
fluorescence    change = I661related
                                  −672 to was defined and
                                            porphyrin  for evaluating   the peak change
                                                            chlorin compounds                at 661nm and
                                                                                   in the wavelength        672ofnm.
                                                                                                        range     600 to 750
      The time evolution
                   I 622 − I 633     of  calculated K 622/633 and K  661/672 for these   five types of yogurt  samples   are
nm, K 622/ 633in=Figure
displayed                     4.  A  was   definedtendency
                                      decreasing    for estimating
                                                              of K    the  change
                                                                            and  anof  fluorescence
                                                                                    increasing        peak
                                                                                                  tendency  at
                                                                                                            of 622
                                                                                                               K    nm  and
                                                                                                                         are
                  622 − 633                                        622/633                                       661/672
clearly found during            the   whole
                          I 661 − I 672       measurements     of seven    days.  As  suggested    by  Wold  [22], the peak
633  nm,  K
at 633 nm 661/ could
                 672  =                    was defined  for evaluating    the peak  change    at 661nm
                         be attributed to protoporphyrin, while the double peak at 661 nm and 672 nm     and 672  nm.
                         661 − 672
might mostly be due to the chlorophyll residues. Therefore, the decrease of K622/633 indicates the
      The time evolution of calculated K622/633 and K661/672 for these five types of yogurt samples are
photodegradation of protophyrin, and the increase of K661/672 represents the photodegradation of
displayed in Figure 4. A decreasing tendency of K622/633 and an increasing tendency of K661/672 are
chlorophyll residues. The results show that the characteristic fluorescence intensity is highly sensitive
clearly found during the whole measurements of seven days. As suggested by Wold [22], the peak at
to the changes of yogurt composition during the deterioration process, and therefore the fluorescence
633 nm could be attributed to protoporphyrin, while the double peak at 661 nm and 672 nm might
mostly be due to the chlorophyll residues. Therefore, the decrease of K622/633 indicates the
photodegradation of protophyrin, and the increase of K661/672 represents the photodegradation of
chlorophyll residues. The results show that the characteristic fluorescence intensity is highly
sensitive to the changes of yogurt composition during the deterioration process, and therefore the
Appl. Sci. 2019, 9 FOR PEER REVIEW                                                                                           7
Appl. Sci. 2019, 9, 131                                                                                                7 of 10
Appl. Sci. 2019, 9 FOR PEER REVIEW                                                                                            7
 fluorescence peaks of photodegradation of protophyrin could be used as indicators to quantitatively
 estimate the quality
fluorescence  peaks ofofphotodegradation
                         yogurt during storage.
                                          ofcould
                                             protophyrin
peaks  of photodegradation   of protophyrin       be usedcould be used to
                                                          as indicators as quantitatively
                                                                           indicators to quantitatively
                                                                                          estimate the
estimate
quality ofthe quality
           yogurt     of yogurt
                  during        during storage.
                          storage.

        Figure 4. K622/633 and K661/672 values calculated for yogurt samples (A, B, C, D, and E) over one week.
      Figure 4. K622/633 and K661/672 values calculated for yogurt samples (A, B, C, D, and E) over one week.
       Figure 4. K622/633 and K661/672 values calculated for yogurt samples (A, B, C, D, and E) over one week.
      For comparison purposes, the physico-chemical parameters pH value and viscosity of yogurt
     For comparison
 samples                   purposes,during
           were also measured            the physico-chemical
                                                  the deterioratingparameters
                                                                        process. AspH    valuein
                                                                                       shown      and  viscosity
                                                                                                    Figure          of yogurt
                                                                                                              5, a decreasing
      For
samples   comparison        purposes,     the   physico-chemical      parameters     pH   value    and  viscosity    of yogurt
 tendencywere
 samples    wasalso
          were     found
                   also
                        measured
                            both forduring
                         measured      pH value
                                       during
                                                 theand
                                                  the
                                                      deteriorating
                                                      deteriorating
                                                                       process.
                                                          viscosity during
                                                                       process.
                                                                                  As shown
                                                                                a period
                                                                                   As     of 7 in
                                                                                      shown
                                                                                                    Figure
                                                                                                 days,
                                                                                                 in     while
                                                                                                    Figure
                                                                                                             5, aindividually,
                                                                                                             5,  a
                                                                                                                   decreasing
                                                                                                                   decreasing
tendency
 each typewas     found sample
             of yogurt     both forhaspHavalueslightand   viscosityThe
                                                      difference.    during    a period
                                                                          reduction       of 7in
                                                                                      of pH     days,   while
                                                                                                   yogurt       individually,
                                                                                                            could   be mostly
 tendency
each  type  was
            of     foundsample
                yogurt      both forhaspHa value
                                            slight  and   viscosity
                                                     difference.  The during   a period
                                                                         reduction   of   of 7indays,
                                                                                         pH       yogurtwhile
                                                                                                          could  individually,
                                                                                                                    be mostly
 caused  by
 each type    the   production
             of yogurt     sample  of lactic
                                     has acid  acid
                                           a slight  as  a result
                                                      difference.  of
                                                                   The the  action
                                                                         reduction   of the  starter
                                                                                      of pHbacteria,   bacteria,
                                                                                               in yogurt   could   which   was
                                                                                                                    beactually
                                                                                                                        mostly
caused  by
 actuallyby the  production
           apparent             of
                        in the caselactic
                                        of room  as a result of the action   of the starter             which     was
 caused
apparent   inthe
               theproduction
                     case  of room             acid temperature
                                   of temperature
                                      lactic         as storage.   ofstorage.
                                                         a result The  the      Theofpronounced
                                                                            action
                                                                         pronounced     the            viscosity-decreasing
                                                                                            starter bacteria,
                                                                                         viscosity-decreasing      which   was
                                                                                                                     behavior
 behavior
 actually   might
          apparent    beinattributed
                            the  case   to
                                        of   the
                                            room   protein   denaturation
                                                    temperature     storage.  and
                                                                                The the  destruction
                                                                                     pronounced          of protein     colloid
                                                                                                      viscosity-decreasing
might   be attributed
 structure  in the room   to temperature.
                              the protein denaturation
                                                Therefore,     and
                                                             the    the destruction
                                                                 reduction     of pH     of protein
                                                                                       value           colloid structure
                                                                                                and viscosity     determinatein
 behavior
the         might     be  attributed    to   the   protein  denaturation      and   the  destruction     of  protein    colloid
 theroom   temperature.
     quality
 structure     of yogurt. Therefore, the reduction of pH value and viscosity determinate the quality
of yogurt. in the room temperature. Therefore, the reduction of pH value and viscosity determinate
 the quality of yogurt.

        Figure5.5.pH
        Figure    pHvalue
                     valueand
                          andviscosity
                              viscosityof
                                       ofyogurt
                                          yogurtsamples
                                                 samples(A,
                                                         (A,B,
                                                            B,C,
                                                               C,D,
                                                                 D,and
                                                                    andE)
                                                                        E)measured
                                                                          measuredover
                                                                                   overone
                                                                                        oneweek.
                                                                                           week.

        Figure 5. pH    valuewas
                              and selected
                                  viscosity of
                                             to yogurt  samples   (A, B, C, D,   and E) measured     over spectra
                                                                                                          one week.
      TheKK622/633
     The              value                     find out   the relevance     between     fluorescence
             622/633 value was selected to find out the relevance between fluorescence spectra and the
                                                                                                                  and the
physico-chemical
 physico-chemical     parameters
                       parametersduring
                                    during  yogurt
                                              yogurtdeterioration
                                                        deterioration since  it had
                                                                         since       a similar
                                                                                 it had         timetime
                                                                                         a similar     evolution  withwith
                                                                                                           evolution   pH
value The
       and Kviscosity.
             622/633 value was selected to find out the relevance between fluorescence spectra and the
                         As  displayed   in Figure   6, good   linear   relationship    is achieved    both for pH  value
 pH value and viscosity.
physico-chemical               As displayed
                       parameters   during      in Figure
                                              yogurt        6, good linear
                                                        deterioration           relationship
                                                                         sincecorrelation      is achieved
                                                                                 it had a similar    time     both forwith
                                                                                                           evolution   pH
and viscosity,
 value  andand   which
               viscosity,indicates
                             which that  K 622/633 value
                                     indicatesin that     shows
                                                         K622/633   a strong
                                                                   value    shows a strong   with   the physico-chemical
                                                                                                   correlation   with pHthe
pH   value
parameters         viscosity.
              of yogurt.   TheAsphysico-chemical
                                  displayed        Figure   6, good
                                                       parameters      linear
                                                                      pH   andrelationship
                                                                                  viscosity    is regarded
                                                                                             are   achieved   both
                                                                                                             as twofor
                                                                                                                     most
 physico-chemical      parameters     of  yogurt.   The   physico-chemical         parameters
value and viscosity, which indicates that K622/633 value shows a strong correlation with the      pH    and  viscosity  are
physico-chemical parameters of yogurt. The physico-chemical parameters pH and viscosity are
Appl. Sci. 2019, 9 FOR PEER REVIEW                                                                                                                                        8

 regarded
Appl.         as9two
      Sci. 2019,    FORmost  common
                        PEER REVIEWindicators for the evaluation of yogurt quality, which further verifies   8
Appl. Sci. 2019, 9, 131                                                                               8 of 10
 that fluorescence signals can be used as one indicator to quantitatively estimate the quality              of
regarded
 yogurt. as two most common indicators for the evaluation of yogurt quality, which further verifies
that
commonfluorescence
          indicatorssignals  can be used
                     for the evaluation     as onequality,
                                        of yogurt   indicator to further
                                                           which  quantitatively  estimate
                                                                         verifies that       the quality
                                                                                       fluorescence signalsof
yogurt.
can                 A
    be used as one indicator             B
                               to quantitatively            C quality of yogurt.
                                                 estimate the              -3 D               -3 E
            -0.009                         -0.011                        -0.009                                  10                               10
                                                                                                         -4                               -6

                            A              -0.012
                                                           B                             C                            -3   D                        -3     E
           -0.009                         -0.011                       -0.009                                    10                              10
                                                                                                         -4                               -6
            -0.013                                                    -0.0115                             -8                             -9.5
                                           -0.013
                                          -0.012
           -0.013                                                    -0.0115                    -8                -9.5
            -0.017                       -0.014                        -0.014                  -12                 -13
                 4.08       4.28    4.48-0.0134.08         4.23    4.38     4.16 4.26 4.36 4.46 4.06 4.16 4.26 4.36 3.9                                4       4.1   4.2
                         pH value                       pH value                      pH value                        pH value                      pH value
           -0.017                        -0.014                        -0.014                   -12 10-3             -13   10
                                                                                                                             -3
           -0.009
                4.08       4.28     4.48 -0.011
                                              4.08        4.23     4.38 -0.009                    4.06 4.16 4.26 4.36 -6
                                                                             4.16 4.26 4.36 4.46 -4                     3.9 4                                  4.1   4.2
                        pH value                       pH value                      pH value                     pH value                         pH value
                                           -0.012                                                                10
                                                                                                                      -3
                                                                                                                                                  10
                                                                                                                                                      -3
           -0.009                         -0.011                       -0.009                            -4                               -6
            -0.013                                                    -0.0115                             -8                             -9.5
                                           -0.013
                                          -0.012
           -0.013                                                    -0.0115                             -8                          -9.5
            -0.017                       -0.014                        -0.014                           -12                           -13
                  20        60       100-0.013 50          100     150       10        50    90   130       20         60      100 130    40           70      100 130
                     Viscosity (mm2 /s)             Viscosity (mm2 /s)            Viscosity (mm2 /s)           Viscosity (mm2/s)                Viscosity (mm2 /s)
           -0.017                         -0.014                         -0.014                         -12                              -13
       Figure 20
               6. The 60relevance
                                100     50      100
                                     of fluorescence   150     10 50 90 130
                                                         peak ratio K622/633 with pH20   60 100 130
                                                                                       value            40 70 100 130
                                                                                               and viscosity  of yogurt
                Viscosity (mm2 /s)       Viscosity (mm2 /s)     Viscosity (mm2 /s)  Viscosity (mm2/s)   Viscosity (mm2 /s)
       during the whole measurement series.
      Figure 6.6. The
      Figure      The relevance
                        relevance ofoffluorescence
                                       fluorescencepeak      ratioKK
                                                       peakratio              with pH
                                                                      622/633 with
                                                                    622/633        pH value and viscosity
                                                                                                   viscosity of
                                                                                                             of yogurt
                                                                                                                 yogurt
       To further
      during
      during the    validate
              the whole
                   whole         the dependence
                           measurement
                            measurement     series. of fluorescence signal with pH value and viscosity, multiple
                                           series.
  linear regression (MLR) models were developed, where K622/633 and K661/672 value were used as
       To
       Tofurther
           further
  independent       validate
                     validate the
                   variables,   the dependence
                                pH     dependence
                                       value and viscosity of
                                                            of fluorescence
                                                                fluorescence          signal
                                                                                      signal with
                                                                          were selected        with
                                                                                               as     pH
                                                                                                      pH value
                                                                                                          value and
                                                                                                  dependence       and viscosity,
                                                                                                                        viscosity,
                                                                                                                   variables,      multiple
                                                                                                                                   multiple
                                                                                                                               respectively.
linear
 linear  regression
  As shownregression   (MLR)
                        (MLR)
                in Figure         models       were
                                     = p1 ⋅ K 622/
                            7, Kmodels           were     developed,
                                                          + p  2 ⋅ K
                                                            developed,          where
                                                                                , where
                                                                                  where  K KK is the
                                                                                           622/633
                                                                                             622/633 and
                                                                                                      and KK
                                                                                                       normalized
                                                                                                            661/672
                                                                                                             661/672 value
                                                                                                                     value
                                                                                                                      value were
                                                                                                                            were   used
                                                                                                                                   used as
                                                                                                                             dependent     as
                                                                                                                                           on
                                                     633              661/ 672
independent
 independent      variables,
                  variables,   pH
                               pH     value
                                       value   and
                                                and     viscosity
                                                        viscosity       were
                                                                        were      selected
                                                                                   selected   as
                                                                                              as  dependence
                                                                                                  dependence
  both K622/633 and K661/672 value, p1 and p2 are the coefficients. Each MLR regression model presents a           variables,
                                                                                                                  variables,  respectively.
                                                                                                                              respectively.
As
 As  shown
  correlation      Figure7,7,K =
      shownininFigure
                 coefficient    K 2p1
                                (R      ·1K⋅ K
                                    =) pof   622/633
                                             more        ++pp2
                                               622/ 633 than  2 ⋅ ·KK661/
                                                                       661/672
                                                                   0.85,          , where
                                                                               , where
                                                                          672where        KKisisthe
                                                                                        classes   the  normalized
                                                                                                   B normalized
                                                                                                      and             value
                                                                                                            E havevalue     dependent
                                                                                                                            dependent
                                                                                                                       a preferable       on
                                                                                                                                          on
                                                                                                                                       linear
both
 both  K 622/633  and
        K622/633 and
  relationship,        K 661/672
                      K661/672
                   which           value,
                               value,
                           again              p1  and
                                          p1 andthat
                                      indicates            p2
                                                       p2 are  are   the     coefficients.
                                                                   the coefficients.
                                                              fluorescence                    Each   MLR
                                                                                            Each MLRhave
                                                                                     measurements           regression
                                                                                                           regression    model
                                                                                                                         model to
                                                                                                                the potential    presents
                                                                                                                                 presents
                                                                                                                                   estimate aa
correlation    coefficient  (R 2 ) of more than 0.85, where classes B and E have a preferable linear relationship,
 correlation     coefficient (R ) of more than 0.85, where classes B and E have a preferable linear
  the yogurt quality.              2
which    again indicates
 relationship,              that fluorescence
                  which again        indicates that     measurements
                                                             fluorescencehave            the potentialhave
                                                                                    measurements          to estimate   the yogurt
                                                                                                               the potential        quality.
                                                                                                                                to estimate
the yogurt quality.

                    Figure 7. Predicted pH value and viscosity of yogurt samples based on MLR model.
                     Figure 7. Predicted pH value and viscosity of yogurt samples based on MLR model.

                     Figure 7. Predicted pH value and viscosity of yogurt samples based on MLR model.
Appl. Sci. 2019, 9, 131                                                                                      9 of 10

4. Conclusions
      The present work demonstrates that fluorescence spectroscopy can be used rapidly and
non-invasively for the evaluation of yogurt quality during deteriorating. The characteristic fluorescence
spectra of yogurt consist of a broadband spectrum in the wavelength region of 500 to 600 nm with
a peak at 525 nm attributed mainly by the riboflavin and Maillard products of raw milk and several
narrow emission peaks in the region of 600 to 750 nm caused by the porphyrin and chlorin compounds
existing naturally in yogurt. Based on a total of 100 fluorescence spectra from five brands of yogurt,
LDA discrimination model was carried out to classify the yogurt brands, which showed a preferable
classification result. To realize the prediction of yogurt quality, two ARC formulas K622/633 and K661/672
were utilized to extract the spectral information related to yogurt deterioration, particularly in the
600 to 750 nm region. The decreasing tendency of K622/633 and the increasing tendency of K661/672
indicate the photodegradation of porphyrin and chlorin compounds. Moreover, the fluorescence peak
ratio K622/633 shows a good linear relationship with the measured pH value and viscosity of yogurt,
which further verifies the physico-chemical change related to the quality of yogurt. Based on these two
fluorescence peaks ratios K622/633 and K661/672 , MLR models were established to verify the dependence
of fluorescence signal with pH value and viscosity. A more than 85% correlation coefficient is obtained
for each class of yogurt, which further demonstrates the potential and effectiveness for the evaluation
of yogurt quality by using fluorescence spectroscopy.

Author Contributions: H.S. and H.Z. performed the fluorescence spectral measurements. L.W. and A.W.
performed the measurements of pH value and viscosity. J.Z. and W.Z. were involved in the data processing and
data analysis. H.Z. and J.H. were involved in writing and revising the paper.
Funding: This work was financially supported by the China Postdoctoral Science Foundation (No. 2017M612399),
the Science and Technology Project of Henan Province (No. 182102110427), the Science and Technology Innovation
Project of Henan Agricultural University (No. KJCX2018A09), the National Natural Science Foundation of China
(No. 31671581), the Natural Science Foundation of Henan Province (No. 162300410143), and the Science and
Technology Project of Henan Province (No. 182102110250).
Conflicts of Interest: The authors declare no conflict of interest.

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