| With the development of computer related technology and the integration of various disciplines,the simulation of fracture healing process based on biological mechanism is an important part of computer simulation technology in biomedical field.Through computer simulation technology for simulating the fracture healing process,and can not only help understand the regulatory mechanism of fracture healing process and pathological conditions,and provide guidance for related experimental design,also can the treatment results of different treatments in clinical to give doctors provide reference for the selection of treatment and treatment plan optimization.It is of far-reaching significance to the treatment of fracture healing and has good research value.During fracture healing,mesenchymal stem cells are first differentiated to generate different tissues involved in fracture healing.This cell differentiation has been shown to be regulated by locally expressed growth factors.In order to explore the regulation mechanism of related growth factors.The differentiation of growth factors is based on experimental studies on the chondrogenic and osteogenic effects of bone morphogenetic protein-2/4 and transforming growth factor-β.We propose a two-dimensional mathematical model of fracture healing process with moderate fracture gap size and fracture stability.Second,through the general geometric model of stable tibial fractures in mice to simplify show alternating implicit finite difference method can be used for calculation of geometry,and to determine the initial conditions of the model,boundary conditions and duration of boundary conditions,using MATLAB software to solve the numerical solution of two-dimensional mathematical model,simulation of mesenchymal stem cell migration,proliferation and differentiation;Chondrocyte proliferation and endochondral ossification;Proliferation of osteoblasts;The synthesis and degradation of cellular matrix and the migration,production and decay of chondrogenic growth factor and osteogenic growth factor simulated the temporal and spatial changes of different cells,cell matrix and growth factor during secondary fracture healing.Finally,through the fracture healing process experiment measurement data and MATLAB software,comparing the simulation results verify the content of cartilage matrix and bone matrix in the callus on qualitative is consistent with the time evolution,conducted extensive research on parameter at the same time,simulate the different parameters on the content of cartilage matrix and bone matrix in the callus and the effect of to evaluate the influence of model parameters on simulation results,a case of pathologic fracture healing and growth factor therapy was simulated to prove the potential therapeutic value of the mathematical model. |