Modeling the effects of inflammation in bone fracture healing
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 perf...
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Hauptverfasser: | , , |
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Format: | Tagungsbericht |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0094-243X 1551-7616 |
DOI: | 10.1063/1.5007359 |