Plan rada Seminara iz Biomehanike, bioinžinjeringa i matematičke biologije za MAJ 2022.
Ponedeljak, 16.05.2022. u 16:00, Online
Julijana Simonović, Faculty of Mechanical Engineering University of Nis, Serbia
REGENERATIVE POTENTIAL OF BONE CELLS MODELLED BY SYSTEM OF NONHOMOGENEOUS ORDINARY NONLINEAR DIFFERENTIAL EQUATIONS
The amount of bone tissue produced per day depends on the activity of resorption and formation of bone cells. These cells communicate with each other in a complex way to transduce biochemical signals. Mechaotransduction of external physical load provides the necessary conditions for regular cellular communication. An external signal of the appropriate period can provide a balanced amount of absorbed old bone tissue and the formation of new bone content. The whole process is mathematically modeled by a system of nonhomogeneous differential equations of the S-system type. This is a system of nonlinearly coupled ordinary differential equations (ODEs), each with the same structure: a change in a variable is equal to the difference of the product of the degree function with a certain variable. The activity of cells that respond to external excitation is built into the model with additional periodic terms and periodic changes in parameters. The methods of solving these equations deterministically and stochastically are presented and the advantages of the applied load are commented. The results reveals the frequencies and the magnitudes of loading that cells prefer for balanced bone turnover and regeneration potential.