Studies on Bone-mass Formation within a Theoretical Model

Abstract

Bone-mass formation in human is looked at to understand the underlying dynamics with an eye on healing of bone-fracture and non-unions in non-invasive pathways. Three biological cells osteoblasts, osteoclasts and osteocytes are important players in creating new bone or osseous matter in which quite a few hormones, proteins and minerals have indispensable supportive role. Assuming populations of the three mentioned cells as variables, we frame a theoretical model which is represented as a set of time differential equations. These equations imitate the dynamic process of bone matter creation. High value of osteocytes with moderate level values of osteoblast and osteoclast, all at asymptotic scale, imply creation of new bone-matter in our model. The model is studied both analytically and numerically. Some important results are highlighted and relevant predictions are made which could be put to future experimental test.