Mathematical modeling of intercellular space volume of citrus fruits
2015
Dirpan, A. ((Ehime University, Matsuyama, Ehime (Japan). Faculty of Agriculture), (Hasanuddin University, Makassar (Indonesia). Department of Food Science and Technology)) | Hikida, Y. | Chiba, H. | Ogawa, Y.
The aim of the present study is to determine the intercellular space volume (Vsub(in)) of citrus fruits and to develop a simple prediction method for Vsub(in). In determining Vsub(in), the mass (m), vertical and horizontal diameters (vd, hd), total volume (Vsub(t)), and real density (Psub(t)) of eight species of citrus fruits of different sizes were measured. The results showed that each species had various Vsub(in), which depended on fruit size ; in other words, the larger the size of the fruit, the larger the Vsub(in). However, the levels of porosity (slashed o) in each species were not fully proportional to fruit size. The model used to develop the simple prediction method for Vsub(in) (Vsub(in) = Vsub(t) - m/1.0647, where Vsub(in) and Vsub(t) are in cubic centimeters and m is in grams), exhibited a high determination coefficient (R**2 = 0.999), modeling efficiency (EF = 0.999), index of agreement (d = 0.999), and paired t-test value (0.365). It was concluded that the model is suitable for predicting Vsub(in) of citrus fruits.
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