Modeling the Effects of Inflammation in Bone Fracture Healing

被引：9
作者：
Kojouharov, H. V. [1 ]
Trejo, I. [1 ]
Chen-Charpentier, B. M. [1 ]
机构：
[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2017年 / 1895卷
关键词：
DIFFERENTIATION;
D O I：
10.1063/1.5007359
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new mathematical model is presented to study the early inflammatory effects in bone healing. It consists of a system of nonlinear ordinary differential equations that represents the interactions among macrophages, mesenchymal stem cells, and osteoblasts. A qualitative analysis of the model is performed to determine the equilibria and their corresponding stability properties. A set of numerical simulations is performed to support the theoretical results. The model is also used to numerically monitor the evolution of a broken bone for different types of fractures and to explore possible treatments to accelerate bone healing by administrating anti-inflammatory drugs.
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页数：10
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