ABSTRACT

As an extension of the formulation presented in Chapter 6, this chapter describes a model of bone cell population dynamics for cortical bone remodeling under mechanical stimulus. In the mathematical model presented here, the interstitial fluid shear stress retaining the lacuno-canalicular porosity structure caused by mechanical loading is considered [1,2] as the physical mediator of mechanotransduction by osteocytes, along with the bone mechanosensitivity defined as the function of loading frequency, the number of loading cycles during a loading day, the rest time between loading bouts, and the length of loading period. The extended Hill equation is described to study the case where two ligands bind to their respective receptors on the same cell.