A dynamical model for mitosis cell proliferation from a geometric viewpoint is derived. The derived kinetics are nonlinear partial differential equations of cell volume and mass density. We consider the process of inherent cell growth due to biological processes as the mass increase in the cell which exerts force inside of the cell. Likewise, the process of segregation is viewed as a mass decrease. We consider the physical aspects of inherent biological processes such as anabolism of structural proteins and lipids swelling due to mass influx and shrinking due to mass outflow. To this aim, by first and second equations of motion together with Fick's Laws of diffusion for nutrition, we model this force and obtain the cell radius function and mass density evolution equations. The control action will appear in our dynamic equation.
Sharifi,J. (2026). A Dynamical Physics Equation for Cell Proliferation. Transactions in Theoretical and Mathematical Physics, 3(1), 25-29. doi: 10.30511/ttmp.2026.2083409.1070
MLA
Sharifi,J. . "A Dynamical Physics Equation for Cell Proliferation", Transactions in Theoretical and Mathematical Physics, 3, 1, 2026, 25-29. doi: 10.30511/ttmp.2026.2083409.1070
HARVARD
Sharifi J. (2026). 'A Dynamical Physics Equation for Cell Proliferation', Transactions in Theoretical and Mathematical Physics, 3(1), pp. 25-29. doi: 10.30511/ttmp.2026.2083409.1070
CHICAGO
J. Sharifi, "A Dynamical Physics Equation for Cell Proliferation," Transactions in Theoretical and Mathematical Physics, 3 1 (2026): 25-29, doi: 10.30511/ttmp.2026.2083409.1070
VANCOUVER
Sharifi J. A Dynamical Physics Equation for Cell Proliferation. TTMP, 2026; 3(1): 25-29. doi: 10.30511/ttmp.2026.2083409.1070
