# Artificial Neural Network Modeling of Drying Kinetics and Color Changes of Ginkgo Biloba Seeds during Microwave Drying Process

Authors: Jun-Wen Bai; Hong-Wei Xiao; Hai-Le Ma; Cun-Shan Zhou
Journal: Journal of Food Quality
 (2018)

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## Abstract

Ginkgo biloba seeds were dried in microwave drier under different microwave powers (200, 280, 460, and 640 W) to determinate the drying kinetics and color changes during drying process. Drying curves of all samples showed a long constant rate period and falling rate period along with a short heating period. The effective moisture diffusivities were found to be 3.318 × 10−9 to 1.073 × 10−8m2/s within the range of microwave output levels and activation energy was 4.111 W/g. The L⁎ and b⁎ values of seeds decreased with drying time. However, a⁎ value decreased firstly and then increased with the increase of drying time. Artificial neural network (ANN) modeling was employed to predict the moisture ratio and color parameters (L⁎, a⁎, and b⁎). The ANN model was trained for finite iteration calculation with Levenberg-Marquardt algorithm as the training function and tansig-purelin as the network transfer function. Results showed that the ANN methodology could precisely predict experimental data with high correlation coefficient (0.9056–0.9834) and low mean square error (0.0014–2.2044). In addition, the established ANN models can be used for online prediction of moisture content and color changes of ginkgo biloba seeds during microwave drying process.


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## Body

## 1. Introduction

Ginkgo biloba (GB) is the oldest relict plant of the extant gymnosperms and is referred to as an archaic living fossil. GB is native to China, and the cultivation area in China accounts for 90% of the worldwide cultivated land of GB trees [1]. In some oriental countries, including China, Japan, and Korea, GB seeds are regarded as delicious food and tonic medicine, which is a rich source of health-promoting compounds such as flavonoids, ginkgo acid, bilobol, and ginkgolides as well as carbohydrates, protein, fats, vitamins, and mineral elements [2]. As a seasonal nut, in China, GB is generally harvested in late September to October, which is a typical seasonal crop. Although it is wrapped by a hard shell, GB seed cannot be stored for a long time due to its relative high moisture content. Drying is one of the most frequently used methods to prolong the shelf life of GB seeds. The dried products can be used as materials for further processing for other products such as GB seeds powers.The traditional drying methods for GB seeds are natural sun drying and hot air drying. Although both methods are relatively simple and inexpensive, they have several disadvantages such as long drying time, low energy efficiency, and substantial deterioration of food quality, such as degradation of color and loss of nutrients. Microwave drying is a technique that can be used as an alternative to shorten the drying time, improve the quality of the dried products, and reduce energy consumption [3]. Microwaves can penetrate into the material with the effect known as volumetric hearting [4], which can increase the drying rate in the falling drying rate period [5]. Microwave drying technology has been applied to several fruits and vegetables, such as carrot [6], nut seed [7], blueberry [8], apple slices [9], thyme leaves [10], and jujube [11].Drying is a complex, dynamic, highly nonlinear, strongly interactive, and multivariable thermal process [12]. Therefore, the prediction of moisture content and quality parameters are very useful and necessary to improve the overall performance of drying process. Researchers usually develop mathematical models which can be classified as theoretical, semitheoretical, and empirical models to describe the drying kinetics and quality changes. Although these models can give good regression to experimental data in very specific conditions, there is no way to obtain general equations to describe the drying process of every product [13].Artificial neural networks (ANN) offer several advantages over conventional modeling techniques because of the learning ability and being suitable to the nonlinear process. ANN models have been developed to model the moisture content and quality parameters in drying process. Jafari et al. [14] observed that ANN model was more productive and precise than mathematical modeling method for predicting changes in the moisture ratio of green bell pepper during hot air fluidized bed drying. Sarimeseli et al. [10] used ANN to describe microwave drying kinetics of thyme leaves. Behroozi Khazaei et al. [15] applied machine vision and ANN for modeling and controlling of the grape drying process in hot air dryer. Nadian et al. [16] developed an ANN model to predict the color changes of apple slices during hot air drying. Guiné et al. [17] employed ANN to characterize the antioxidant activity and phenolic compounds degradation kinetics of bananas under different drying conditions.The objectives of current work are (i) to explore the drying characteristic and color changes kinetic of GB seeds at different microwave powers, (ii) to calculate effective moisture diffusivity and the activation energy to highlight the effect of microwave power, and (iii) to model the experimental drying kinetics and color changes of GB seeds during its microwave drying process using ANN methodology.


## 2. Materials and Methods

### 2.1. Materials

Fresh GB seeds were purchased from a local market in Taixing, China. The cultivar of GB is Dafozi. To ensure uniformity of physical characteristics of the experimental materials, the samples were carefully selected with the same size (average major axis, middle axle, and minor axis were 22.07 mm, 13.84 mm, and 12.03 mm, resp.). The initial moisture content of samples was determined by vacuum drying at 70°C for 24 h following the standard method (AOAC, 1990). The initial moisture content of the samples was reported as 53.02% in wet basis (w.b.) or 1.13 kg/kg in dry basis (d.b.). Prior to experiments, the kernel (nut meat) of the GB seed was obtained by shelling and removing the bronzing pellicle. All the GB seeds were stored in a refrigerator at5±1°C and 90% relative humidity before the experiments were carried out.


### 2.2. Drying Experiments

Drying experiments were carried out in a domestic digital microwave oven with maximum power output capacity of 700 W at 2450 MHz (P70d2otl, Galanz, China). The microwave oven has a capability to operate at four different microwave output powers (200, 280, 460, and 640 W), with measurement accuracy of ±10 W. Processing time and microwave output power were adjusted with the digital control on the microwave oven. GB seeds of 80 g were placed in a single layer on a rotating glass plate in the oven. The weight loss was periodically recorded by taking out the rotating glass and weighing it on an electronic balance within the accuracy of ±0.01 g during drying. Drying was stopped when the moisture content of the samples reached the final moisture content of 0.15 kg/kg (d.b.). All the drying experiments were conducted in triplicate.


### 2.3. Calculation of Moisture Ratio and Drying Rate

The moisture ratio (MR) of the samples was calculated according to [23](1)MR=Mt-MeM0-Me,where Mt, M0, and Me are moisture content at any time of drying (kg water/kg dry matter), initial moisture content (kg water/kg dry matter), and equilibrium moisture content (kg water/kg dry matter), respectively. The equilibrium moisture content was assumed to be zero for microwave drying as stated by Maskan [24].The drying rate (DR) of samples during drying experiments was computed using [18](2)DR=Mt+dt-Mtdt,where Mt and Mt+dt are the moisture content at t and moisture content at t+dt (kg water/kg dry matter), respectively, and t is drying time (min).


### 2.4. Calculation of Effective Moisture Diffusivity

Weibull distribution can be used to calculate the effective moisture diffusivity, regardless of the characteristics of moisture migration during drying process. The MR curves were fitted to the Weibull distribution [25](3)MR=exp⁡-tαβ,where MR is moisture ratio of GB seeds; t is the drying time; α is the scale parameter of Weibull distribution (min); β is the shape parameter of Weibull distribution.Effective moisture diffusivity (Deff) can be calculated with the following equation [25, 26]:(4)Deff=DcalRg=r2αRg,where Deff is the effective moisture diffusivity (m2/s); Dcal is the estimate moisture diffusivity (m2/s); r is the volume equivalent radius of GB seeds, with 0.769 × 10−2 m as its value; α is the scale parameter of Weibull distribution; Rg is the physical dimension constant. For agriculture products with a shape of sphere, the value of Rg is 18.6 [27].


### 2.5. Estimation of Activation Energy

Activation energy (Ea) is the minimum energy that must be supplied to break water-solid and/or water-water interactions and to move water molecules from one point to another in solid [3]. The dependence of effective moisture diffusivity on drying temperature has been shown to follow an Arrhenius relationship presented as follows:(5)Deff=D0exp⁡-EaRT+273.15,where D0 is the preexponential factor of Arrhenius equation (m2/s); Ea is the activation energy (kJ/mol);R is the universal gas constant (kJ/mol K);T is temperature (°C).However, during the microwave drying processes, the temperature is not a directly measured variable. The Arrhenius equation was used in a modified form to illustrate the relationship between the effective moisture diffusion and the ratio of the microwave output power to sample weight (m/P) instead of the temperature for calculation of the activation energy. The modified Arrhenius equation (6) derived by Dadalı et al. [18] can be effectively used as follows:(6)Deff=D0exp⁡-EamP,where D0 is the preexponential factor of Arrhenius equation (m2/s); Deff is the effective moisture diffusivity (m2/s); Ea is the activation energy (W/g);m is the mass of raw sample (g);P is the microwave power (W).Equation (6) can be expressed in a logarithmic form as follows:(7)ln⁡Deff=ln⁡D0-EamP.So the activation energy can be calculated from the slope of ln(Deff) versus the ratio of the microwave output power to sample weight (m/P).


### 2.6. Color Measurement

A CIE standard illuminant D65 and observer 10° were used to determine CIE color space coordinates,L∗ (whiteness or brightness), a∗ (redness/greenness), and b∗ (yellowness/blueness). GB seed samples color was measured using a colorimeter (Color Quest X, Hunter Lab, USA) before drying and prespecified time intervals during drying. Three samples were randomly selected for color measurement. L∗, a∗, and b∗ values of each sample were average of 6 readings.


### 2.7. ANN Modeling

MATLAB software (Version 7.8, MathWorks, USA) was used for the design and testing of various ANN models. The ANN configuration used in this work (Figure1) was a multilayer “feed-forward,” consisting of one input layer, one hidden layer, and one output layer with a convergence criterion for training purposes. The input variables in the input layer are microwave power and drying time and the output variables in the output layer are moisture content and the color parameters (L∗, a∗, and b∗) of GB seeds at any time. After trial and error, network unit with hyperbolic tangent sigmoid transfer function “tansig” for neurons of hidden layer, 10 neurons in the hidden layer, linear transfer function “purelin” for neuron of output layer, and Levenberg-Marquardt training algorithm “trainlm” for the training function were selected.Figure 1
Artificial neural network configuration.In this study, input-output data sets collected in the experiment were totally 120 and 114 for MR and color parameters (L∗, a∗, and b∗), respectively. For ANN model building, the available data were randomly divided into 3 subsets: training (70%), validation (15%), and testing (15%) subset. The networks performance was evaluated by correlation coefficient (R2) and mean square error (RMSE). These statistical values can be calculated as follows:(8)R2=1-∑i=1NCpre,i-Cexp,i2∑i=1NCpre--Cexp,i2,RMSE=1N∑i=1NCpre,i-Cexp,i21/2,where Cexp,i is the ith experimental data, Cpre,i is the ith predicted data by ANN model, andN is the number of experimental data.


## 2.1. Materials

Fresh GB seeds were purchased from a local market in Taixing, China. The cultivar of GB is Dafozi. To ensure uniformity of physical characteristics of the experimental materials, the samples were carefully selected with the same size (average major axis, middle axle, and minor axis were 22.07 mm, 13.84 mm, and 12.03 mm, resp.). The initial moisture content of samples was determined by vacuum drying at 70°C for 24 h following the standard method (AOAC, 1990). The initial moisture content of the samples was reported as 53.02% in wet basis (w.b.) or 1.13 kg/kg in dry basis (d.b.). Prior to experiments, the kernel (nut meat) of the GB seed was obtained by shelling and removing the bronzing pellicle. All the GB seeds were stored in a refrigerator at5±1°C and 90% relative humidity before the experiments were carried out.


## 2.2. Drying Experiments

Drying experiments were carried out in a domestic digital microwave oven with maximum power output capacity of 700 W at 2450 MHz (P70d2otl, Galanz, China). The microwave oven has a capability to operate at four different microwave output powers (200, 280, 460, and 640 W), with measurement accuracy of ±10 W. Processing time and microwave output power were adjusted with the digital control on the microwave oven. GB seeds of 80 g were placed in a single layer on a rotating glass plate in the oven. The weight loss was periodically recorded by taking out the rotating glass and weighing it on an electronic balance within the accuracy of ±0.01 g during drying. Drying was stopped when the moisture content of the samples reached the final moisture content of 0.15 kg/kg (d.b.). All the drying experiments were conducted in triplicate.


## 2.3. Calculation of Moisture Ratio and Drying Rate

The moisture ratio (MR) of the samples was calculated according to [23](1)MR=Mt-MeM0-Me,where Mt, M0, and Me are moisture content at any time of drying (kg water/kg dry matter), initial moisture content (kg water/kg dry matter), and equilibrium moisture content (kg water/kg dry matter), respectively. The equilibrium moisture content was assumed to be zero for microwave drying as stated by Maskan [24].The drying rate (DR) of samples during drying experiments was computed using [18](2)DR=Mt+dt-Mtdt,where Mt and Mt+dt are the moisture content at t and moisture content at t+dt (kg water/kg dry matter), respectively, and t is drying time (min).


## 2.4. Calculation of Effective Moisture Diffusivity

Weibull distribution can be used to calculate the effective moisture diffusivity, regardless of the characteristics of moisture migration during drying process. The MR curves were fitted to the Weibull distribution [25](3)MR=exp⁡-tαβ,where MR is moisture ratio of GB seeds; t is the drying time; α is the scale parameter of Weibull distribution (min); β is the shape parameter of Weibull distribution.Effective moisture diffusivity (Deff) can be calculated with the following equation [25, 26]:(4)Deff=DcalRg=r2αRg,where Deff is the effective moisture diffusivity (m2/s); Dcal is the estimate moisture diffusivity (m2/s); r is the volume equivalent radius of GB seeds, with 0.769 × 10−2 m as its value; α is the scale parameter of Weibull distribution; Rg is the physical dimension constant. For agriculture products with a shape of sphere, the value of Rg is 18.6 [27].


## 2.5. Estimation of Activation Energy

Activation energy (Ea) is the minimum energy that must be supplied to break water-solid and/or water-water interactions and to move water molecules from one point to another in solid [3]. The dependence of effective moisture diffusivity on drying temperature has been shown to follow an Arrhenius relationship presented as follows:(5)Deff=D0exp⁡-EaRT+273.15,where D0 is the preexponential factor of Arrhenius equation (m2/s); Ea is the activation energy (kJ/mol);R is the universal gas constant (kJ/mol K);T is temperature (°C).However, during the microwave drying processes, the temperature is not a directly measured variable. The Arrhenius equation was used in a modified form to illustrate the relationship between the effective moisture diffusion and the ratio of the microwave output power to sample weight (m/P) instead of the temperature for calculation of the activation energy. The modified Arrhenius equation (6) derived by Dadalı et al. [18] can be effectively used as follows:(6)Deff=D0exp⁡-EamP,where D0 is the preexponential factor of Arrhenius equation (m2/s); Deff is the effective moisture diffusivity (m2/s); Ea is the activation energy (W/g);m is the mass of raw sample (g);P is the microwave power (W).Equation (6) can be expressed in a logarithmic form as follows:(7)ln⁡Deff=ln⁡D0-EamP.So the activation energy can be calculated from the slope of ln(Deff) versus the ratio of the microwave output power to sample weight (m/P).


## 2.6. Color Measurement

A CIE standard illuminant D65 and observer 10° were used to determine CIE color space coordinates,L∗ (whiteness or brightness), a∗ (redness/greenness), and b∗ (yellowness/blueness). GB seed samples color was measured using a colorimeter (Color Quest X, Hunter Lab, USA) before drying and prespecified time intervals during drying. Three samples were randomly selected for color measurement. L∗, a∗, and b∗ values of each sample were average of 6 readings.


## 2.7. ANN Modeling

MATLAB software (Version 7.8, MathWorks, USA) was used for the design and testing of various ANN models. The ANN configuration used in this work (Figure1) was a multilayer “feed-forward,” consisting of one input layer, one hidden layer, and one output layer with a convergence criterion for training purposes. The input variables in the input layer are microwave power and drying time and the output variables in the output layer are moisture content and the color parameters (L∗, a∗, and b∗) of GB seeds at any time. After trial and error, network unit with hyperbolic tangent sigmoid transfer function “tansig” for neurons of hidden layer, 10 neurons in the hidden layer, linear transfer function “purelin” for neuron of output layer, and Levenberg-Marquardt training algorithm “trainlm” for the training function were selected.Figure 1
Artificial neural network configuration.In this study, input-output data sets collected in the experiment were totally 120 and 114 for MR and color parameters (L∗, a∗, and b∗), respectively. For ANN model building, the available data were randomly divided into 3 subsets: training (70%), validation (15%), and testing (15%) subset. The networks performance was evaluated by correlation coefficient (R2) and mean square error (RMSE). These statistical values can be calculated as follows:(8)R2=1-∑i=1NCpre,i-Cexp,i2∑i=1NCpre--Cexp,i2,RMSE=1N∑i=1NCpre,i-Cexp,i21/2,where Cexp,i is the ith experimental data, Cpre,i is the ith predicted data by ANN model, andN is the number of experimental data.


## 3. Result and Discussion

### 3.1. Drying Curves

To investigate the effects of microwave power on moisture ratio and drying time, the curves of MR versus drying time are shown in Figure2. From Figure 2, it was shown that drying time required to reduce the moisture from the initial moisture content to desired moisture content for GB seeds was approximately 22, 13, 9, and 7 min, respectively, in relation to the microwave power of 200, 280, 460, and 640 W. The drying time was approximately 3.14 times more at 200 W than that at 640 W. Therefore, it can be concluded that microwave power had significant effect on the drying time. The results indicated that mass transfer is rapid during the higher microwave power heating as a result of more energy transfer to the samples, causing an increase in temperature of the product [28, 29]. This phenomenon was in agreement with reported literatures for drying parsley [30], sardine fish [19], and tea [31].Figure 2
Drying kinetics of GB seeds under different microwave powers.The drying rate curves for GB seeds under different microwave powers were given in Figure3. As can be seen from this figure, the drying rate of samples was apparently increased as the microwave power level was increased. After a short preheating period, a long constant drying rate period was observed in all cases and the average drying rates at constant rate period ranged from about 0.04 to 0.16 (g water/g solid min) for the microwave power between 200 and 640 w, respectively. As the drying processed, when the material moisture content was lower than about 0.42 (g water/g solid min), a constant rate period was followed by a falling rate period which was controlled by the internal liquid diffusion. The loss of moisture content of samples caused a decrease in the absorption of microwave power and led to a descending in the drying rate [32, 33]. These results were in agreement with the study of microwave drying of okra [34], coriander leaves [35], onion slices [20], and daylily flower buds [33], which indicated that a long constant rate period and falling rate period were observed after a short heating period. On the other hand, these results were not the same as the studies performed by Ozkan et al. [32] and Balbay and Şahin [36], both of the investigations claimed that microwave drying of liquorice root or spinach occurred only in the falling rate period. The reason for differences may be ascribed to the different structures and sizes of materials.Figure 3
Drying rate of GB seeds under different microwave powers.


### 3.2. Effective Moisture Diffusivity and Activation Energy

The effective moisture diffusivity values of GB seeds were calculated using Weibull distribution and (4) and are shown in Table 1. The Deff values of dried samples were varied in the range of 3.318 × 10−9 to 1.073 × 10−8m2/s under different microwave powers. The values of the Weibull scale parameter (α) ranged from 4.941 to 15.97 min and values of the shape parameter (β) varied from 1.8502 to 2.0378. It was noted that Deff values increased greatly with increasing microwave powers. When samples were dried at higher microwave power, increased heating energy would increase the activity of water molecules leading to higher moisture diffusivity [37]. The values of Deff obtained from this study lie within the general range from 10−12 to 10−8m2/s for food materials [37].Table 1
Moisture effective diffusion coefficients of GB seeds by different microwave powers.
Powers (W) α (min) β R 2 D e f f (10−9 m2/s) 200 15.97 1.909 0.9999 3.318 280 9.337 1.850 0.9999 5.675 460 6.530 1.884 1.0000 8.114 640 4.941 2.038 0.9999 10.73The activation energy is the energy required to initiate moisture diffusion from inside to the outside of the drying product. TheEa value for GB seeds was determined to be 4.111 W/g, which can be calculated from the slope of ln(Deff) versus the ratio of the microwave power to sample weight (m/P). To compare the activation energy of GB seeds with other agricultural products, the activation energy of various agricultural materials is presented in Table 2. Table 2 shows that GB seeds have lower activation energy than that for sardine fish, mint leaves, okra, and onion slices. And the value of Ea found from this study was quite similar to the value of apple slices (4.140 W/g). A lower Ea value indicates greater temperature sensitivity of diffusion coefficient and less energy required to remove moisture from the product [3]. In general, the factors such as the components, variety, and tissue structures of the samples have a significant effect on activation energy.Table 2
Activation energies of GB seeds and other products under microwave drying.
Products Microwave power (W) Activation energy (W/g) References GB seeds 200–640 4.111 Present work Okra 180–900 5.540 [18] Sardine fish 200–500 11.14 [19] Onion slices 328–557 7.900 [20] Mint leaves 180–900 11.04 [21] Apple slices 200–600 4.140 [22]


### 3.3. Color Change Kinetics during Drying Process

The color change curves ofL∗, a∗, and b∗ value as a function of drying time under various microwave powers were shown in Figures 4(a)–4(c). The L∗ value is illustrated in Figure 4(a). As can be seen from this figure, L∗ value decreased with drying time and all dried GB seeds were obviously darker than the fresh samples. It has been stated that the decrease of the brightness of dried samples can be taken as an indicator of browning [38]. Besides, the L∗ values of final dried samples were about 47.62, 45.62, 44.05, and 42.63 under the microwave power of 200, 280, 460, and 640 W, respectively. The differences might be due to the Maillard reaction, which was accelerated at higher temperature. Similar phenomenon was in agreement with the study for drying spinach published by Dadalı et al. [39] and for drying tea published by Demirhan and Ozbek [40].Figure 4
Color changes of (a)L∗ value, (b) a∗ value, and (c) b∗ value as a function of drying time at various microwave powers for sample amount of 80 g.
(a) (b) (c)The results fora∗ value are shown in Figure 4(b). It was found that a∗ value of GB seeds decreased firstly and then increased with the increase of drying time in all cases. The lowest a∗ of samples were about −1.71, −1.34, 0.63, and 2.31 under the microwave power of 200, 280, 460, and 640 W, respectively. The negative a∗ value appeared when drying for 4 min under the microwave power of 200 and 280 w, indicating that the samples turned to be greenish. It may be due to that the surface of GB seeds became transparent and showed the color of internal germ. After a∗ value reached its lowest point, it had begun to increase with the drying time, which indicated that the color of the samples became more reddish. Figure 4(b) also showed that, at the end of drying, a∗ value increased as the microwave power increased. The final a∗ values of dried samples were about 0.34, 2.58, 2.89, and 7.57 under the microwave power of 200, 280, 460, and 640 W, respectively. This phenomenon could be attributed to the creation of red-brown pigments in the effect of nonenzymatic reaction [41, 42].The results forb∗ values are shown in Figure 4(c). As can be seen from this figure, b∗ values decreased with drying time and indicate that the yellowness of sample decreased due to microwave power applied. In addition, the change rate of b∗ value was faster at the initial drying stage than that at the intermediate and final drying stages.


### 3.4. ANN Modeling

The BP neural network model was trained for finite iteration calculation with Levenberg-Marquardt algorithm as the training function and tansig-purelin as the network transfer function. The experimental and predicted moisture ratio and color parameters (L∗, a∗, and b∗) values for the optimal ANN topology were shown in Figure 5. The determination coefficient (R2) and root mean squared error (RMSE) between the predicted and measured values were 0.9834 and 0.0014 for moisture content, 0.9504 and 3.0795 for L∗ value, 0.9056 and 0.8092 for a∗ value, and 0.9224 and 2.2044 for b∗ value, respectively. An acceptable level of statistical parameters of R2 and RMSE was obtained by employing the selected ANN. The best and worst estimations were obtained for the moisture ratio and a∗ value. In general, there was a good agreement between experimental and estimated values, demonstrating that the selected ANN topology had an acceptable capability to predict the network outputs with the inconsiderable error. Therefore, according to the results of this experimental study as well as ANN modeling, the online prediction moisture content and color evaluation would be proposed as a promising methodology for GB seeds drying process.Figure 5
Comparison of predicted and experimental moisture ratio and color parameters (L∗, a∗, and b∗) on testing step for the optimal ANN topology.
(a) (b) (c) (d)


## 3.1. Drying Curves

To investigate the effects of microwave power on moisture ratio and drying time, the curves of MR versus drying time are shown in Figure2. From Figure 2, it was shown that drying time required to reduce the moisture from the initial moisture content to desired moisture content for GB seeds was approximately 22, 13, 9, and 7 min, respectively, in relation to the microwave power of 200, 280, 460, and 640 W. The drying time was approximately 3.14 times more at 200 W than that at 640 W. Therefore, it can be concluded that microwave power had significant effect on the drying time. The results indicated that mass transfer is rapid during the higher microwave power heating as a result of more energy transfer to the samples, causing an increase in temperature of the product [28, 29]. This phenomenon was in agreement with reported literatures for drying parsley [30], sardine fish [19], and tea [31].Figure 2
Drying kinetics of GB seeds under different microwave powers.The drying rate curves for GB seeds under different microwave powers were given in Figure3. As can be seen from this figure, the drying rate of samples was apparently increased as the microwave power level was increased. After a short preheating period, a long constant drying rate period was observed in all cases and the average drying rates at constant rate period ranged from about 0.04 to 0.16 (g water/g solid min) for the microwave power between 200 and 640 w, respectively. As the drying processed, when the material moisture content was lower than about 0.42 (g water/g solid min), a constant rate period was followed by a falling rate period which was controlled by the internal liquid diffusion. The loss of moisture content of samples caused a decrease in the absorption of microwave power and led to a descending in the drying rate [32, 33]. These results were in agreement with the study of microwave drying of okra [34], coriander leaves [35], onion slices [20], and daylily flower buds [33], which indicated that a long constant rate period and falling rate period were observed after a short heating period. On the other hand, these results were not the same as the studies performed by Ozkan et al. [32] and Balbay and Şahin [36], both of the investigations claimed that microwave drying of liquorice root or spinach occurred only in the falling rate period. The reason for differences may be ascribed to the different structures and sizes of materials.Figure 3
Drying rate of GB seeds under different microwave powers.


## 3.2. Effective Moisture Diffusivity and Activation Energy

The effective moisture diffusivity values of GB seeds were calculated using Weibull distribution and (4) and are shown in Table 1. The Deff values of dried samples were varied in the range of 3.318 × 10−9 to 1.073 × 10−8m2/s under different microwave powers. The values of the Weibull scale parameter (α) ranged from 4.941 to 15.97 min and values of the shape parameter (β) varied from 1.8502 to 2.0378. It was noted that Deff values increased greatly with increasing microwave powers. When samples were dried at higher microwave power, increased heating energy would increase the activity of water molecules leading to higher moisture diffusivity [37]. The values of Deff obtained from this study lie within the general range from 10−12 to 10−8m2/s for food materials [37].Table 1
Moisture effective diffusion coefficients of GB seeds by different microwave powers.
Powers (W) α (min) β R 2 D e f f (10−9 m2/s) 200 15.97 1.909 0.9999 3.318 280 9.337 1.850 0.9999 5.675 460 6.530 1.884 1.0000 8.114 640 4.941 2.038 0.9999 10.73The activation energy is the energy required to initiate moisture diffusion from inside to the outside of the drying product. TheEa value for GB seeds was determined to be 4.111 W/g, which can be calculated from the slope of ln(Deff) versus the ratio of the microwave power to sample weight (m/P). To compare the activation energy of GB seeds with other agricultural products, the activation energy of various agricultural materials is presented in Table 2. Table 2 shows that GB seeds have lower activation energy than that for sardine fish, mint leaves, okra, and onion slices. And the value of Ea found from this study was quite similar to the value of apple slices (4.140 W/g). A lower Ea value indicates greater temperature sensitivity of diffusion coefficient and less energy required to remove moisture from the product [3]. In general, the factors such as the components, variety, and tissue structures of the samples have a significant effect on activation energy.Table 2
Activation energies of GB seeds and other products under microwave drying.
Products Microwave power (W) Activation energy (W/g) References GB seeds 200–640 4.111 Present work Okra 180–900 5.540 [18] Sardine fish 200–500 11.14 [19] Onion slices 328–557 7.900 [20] Mint leaves 180–900 11.04 [21] Apple slices 200–600 4.140 [22]


## 3.3. Color Change Kinetics during Drying Process

The color change curves ofL∗, a∗, and b∗ value as a function of drying time under various microwave powers were shown in Figures 4(a)–4(c). The L∗ value is illustrated in Figure 4(a). As can be seen from this figure, L∗ value decreased with drying time and all dried GB seeds were obviously darker than the fresh samples. It has been stated that the decrease of the brightness of dried samples can be taken as an indicator of browning [38]. Besides, the L∗ values of final dried samples were about 47.62, 45.62, 44.05, and 42.63 under the microwave power of 200, 280, 460, and 640 W, respectively. The differences might be due to the Maillard reaction, which was accelerated at higher temperature. Similar phenomenon was in agreement with the study for drying spinach published by Dadalı et al. [39] and for drying tea published by Demirhan and Ozbek [40].Figure 4
Color changes of (a)L∗ value, (b) a∗ value, and (c) b∗ value as a function of drying time at various microwave powers for sample amount of 80 g.
(a) (b) (c)The results fora∗ value are shown in Figure 4(b). It was found that a∗ value of GB seeds decreased firstly and then increased with the increase of drying time in all cases. The lowest a∗ of samples were about −1.71, −1.34, 0.63, and 2.31 under the microwave power of 200, 280, 460, and 640 W, respectively. The negative a∗ value appeared when drying for 4 min under the microwave power of 200 and 280 w, indicating that the samples turned to be greenish. It may be due to that the surface of GB seeds became transparent and showed the color of internal germ. After a∗ value reached its lowest point, it had begun to increase with the drying time, which indicated that the color of the samples became more reddish. Figure 4(b) also showed that, at the end of drying, a∗ value increased as the microwave power increased. The final a∗ values of dried samples were about 0.34, 2.58, 2.89, and 7.57 under the microwave power of 200, 280, 460, and 640 W, respectively. This phenomenon could be attributed to the creation of red-brown pigments in the effect of nonenzymatic reaction [41, 42].The results forb∗ values are shown in Figure 4(c). As can be seen from this figure, b∗ values decreased with drying time and indicate that the yellowness of sample decreased due to microwave power applied. In addition, the change rate of b∗ value was faster at the initial drying stage than that at the intermediate and final drying stages.


## 3.4. ANN Modeling

The BP neural network model was trained for finite iteration calculation with Levenberg-Marquardt algorithm as the training function and tansig-purelin as the network transfer function. The experimental and predicted moisture ratio and color parameters (L∗, a∗, and b∗) values for the optimal ANN topology were shown in Figure 5. The determination coefficient (R2) and root mean squared error (RMSE) between the predicted and measured values were 0.9834 and 0.0014 for moisture content, 0.9504 and 3.0795 for L∗ value, 0.9056 and 0.8092 for a∗ value, and 0.9224 and 2.2044 for b∗ value, respectively. An acceptable level of statistical parameters of R2 and RMSE was obtained by employing the selected ANN. The best and worst estimations were obtained for the moisture ratio and a∗ value. In general, there was a good agreement between experimental and estimated values, demonstrating that the selected ANN topology had an acceptable capability to predict the network outputs with the inconsiderable error. Therefore, according to the results of this experimental study as well as ANN modeling, the online prediction moisture content and color evaluation would be proposed as a promising methodology for GB seeds drying process.Figure 5
Comparison of predicted and experimental moisture ratio and color parameters (L∗, a∗, and b∗) on testing step for the optimal ANN topology.
(a) (b) (c) (d)


## 4. Conclusions

Ginkgo biloba seeds were dried in microwave drier to determinate the drying kinetics and color changes during drying process. Microwave power had significant effect on the drying time, and higher microwave power results in higher drying rate and shorter drying time. Within the range of microwave output levers (200, 280, 460, and 640 w), effective moisture diffusivities were found to be 3.318 × 10−9 to 1.073 × 10−8m2/s and activation energy was estimated to be 4.111 W/g. The L∗ and b∗ values of GB seeds decreased with drying time. However, a∗ value decreased firstly and then increased with the increase of drying time. ANN modeling was applied to predict the moisture ratio and color parameters (L∗, a∗, and b∗). The results showed that the ANN methodology could precisely model the microwave drying process of GB seeds with correlation coefficient higher than 0.9056. The findings in current work demonstrated that the selected ANN topology had an acceptable capability to predict the network outputs with the inconsiderable error.



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*Source: 3278595-2018-02-21.xml*