Simultaneous Multi-Parametric Analysis of Bone Cell Population Model

Abstract

Using the bone cell population mathematical model of the system of coupled ordinary differential equations (ODEs) with power-law nonlinearities, it is possible to properly interpret and analyze bone cell communication dynamics. The system of bone cellular communication is complex and not yet properly described and revealed. The structural analysis has been used here for stability analyses of the problem, as like as for analyses of system sensibility to small parameters changes. The usage of the multi-parametric synchronous analysis presented in this chapter is the advantage of Mathematica ODE solver that provides the functional interpretation of important parameters of dynamics. The models explored in numerous numerical (in silico) experiments also provide the more realistic approaches to interpreting the development of interventions for patients with bone trauma and diseases, but also for those who want to prioritize the healthy and strong skeleton. This research is a very practical and clear example of nonlinear theory application for bone cell signalling processes modeling and interpretation.