A Combined Process Algebraic and Stochastic Approach to Bone Remodeling

https://doi.org/10.1016/j.entcs.2011.09.034Get rights and content
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Abstract

In adult life the bone is continuously being resorbed and renewed. Here we present a stochastic model of the homeostatic nature of bone remodeling, where osteoclasts perform bone resorption which is equally balanced by bone formation performed by osteoblasts. The stochastic model is embedded in a process-algebraic specification based on the Shape Calculus, which provides an effective multiscale description of the process. Our model considers increasing dimensionality from RANKL molecular signaling to osteoclast/osteoblast stochastic dynamics within a basic multicellular unit (BMU) to bone mass formation. We show that after a micro-fracture the simulated bone remodeling dynamics is timescale consistent with the biological process. Our combined methodology provides a first effective stochastic model of the bone remodeling framework which could be used to test healthy and pathological conditions.

Keywords

process algebra in biomechanics
Shape Calculus
BMU
bone remodeling
dynamics

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