Mathematical model for bone mineralization

Frontiers in Cell and Developmental Biology
Svetlana V KomarovaErica Zuhr

Abstract

Defective bone mineralization has serious clinical manifestations, including deformities and fractures, but the regulation of this extracellular process is not fully understood. We have developed a mathematical model consisting of ordinary differential equations that describe collagen maturation, production and degradation of inhibitors, and mineral nucleation and growth. We examined the roles of individual processes in generating normal and abnormal mineralization patterns characterized using two outcome measures: mineralization lag time and degree of mineralization. Model parameters describing the formation of hydroxyapatite mineral on the nucleating centers most potently affected the degree of mineralization, while the parameters describing inhibitor homeostasis most effectively changed the mineralization lag time. Of interest, a parameter describing the rate of matrix maturation emerged as being capable of counter-intuitively increasing both the mineralization lag time and the degree of mineralization. We validated the accuracy of model predictions using known diseases of bone mineralization such as osteogenesis imperfecta and X-linked hypophosphatemia. The model successfully describes the highly nonlinear mineralization dy...Continue Reading

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Citations

Apr 18, 2018·Scientific Reports·Bruna ParreiraDeborah M Power
Jul 28, 2020·Calcified Tissue International·Sanjay Kumar Bhadada, Sudhaker D Rao
Apr 4, 2019·Paediatric Drugs·Oliver SemlerHeike Hoyer-Kuhn
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May 9, 2021·Advanced Healthcare Materials·Mahdi AyoubiPeter Fratzl
Aug 30, 2021·Computational Biology and Chemistry·Hossein Poorhemati, Svetlana V Komarova

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