A mathematical model is presented to study the regulatory effects of growth factors in osteoblastogenesis. The model incorporates the interactions among mesenchymal stem cells, osteoblasts, and growth factors. The resulting system of nonlinear ordinary differential equations is studied analytically and numerically. Mathematical conditions for successful osteogenic differentiation and optimal osteoblasts population are formulated, which can be used in practice to accelerate bone formation. Numerical simulations are also presented to support the theoretical results and to explore different medical interventions to enhance osteoblastogenesis.
Trejo, Imelda and Kojouharov, Hristo V.
Understanding the Fundamental Molecular Mechanism of Osteogenic Differentiation from Mesenchymal Stem Cells,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss2/4