Non-linear diffusion Blow-up 4 Parabolic system 4 Activation energy 2 Arrhenius equation 2 Brown rice 2 Cereal grains 2 Developed model 2 Diffusion 2 Diffusion Coefficients 2 Diffusion equations 2 Grain (agricultural product) 2 Increasing functions 2 Liquid water 2 Moisture contents 2 Moisture determination 2 Nonlinear diffusion 2 Partial differential equations 2 Rice kernel 2 Rice kernels 2 Saturation values 2 Self-diffusion coefficients 2 Soaking conditions 2 Soaking temperature 2 Swelling 2 Water absorption 2 Water content 2 Water uptake 2