Mathematical modeling of spherical cell membranes under hydrostatic stress and heat field

In this paper, the effects of size on spherical cell membrane under hydrostatic pressure and heat field are investigated using strain gradient theory. Two most important parameters related to the cellular niche are mechanical forces and thermal fields. Thermal and mechanical fields affecting the cell are used in the food industry to inactivate microorganisms. The governing equations are obtained using the minimum potential energy principle and finally the governing equations are solved numerically. The effect of size parameters, heat field and hydrostatic pressure were investigated. The results indicate that the effects of small-sale cannot be ignored and predict the hardening properties compared to classical theory. In addition, increasing the heat field and hydrostatic pressure increases the displacement. The results of this research can be used for food industry and tissue engineering.In addition, increasing the heat field and hydrostatic pressure increases the displacement. The results of this research can be used for food industry and tissue engineering.