Berlin 2008 – scientific programme
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BP: Fachverband Biologische Physik
BP 16: Pattern Formation and Developmental Processes
BP 16.4: Talk
Wednesday, February 27, 2008, 18:15–18:30, C 243
MarkovModelForBoneRemodelling — •Marco Rusconi1,2, Richard Weinkamer2, Angelo Valleriani2, and Juergen Kurths1 — 1Non-linear dynamics group,institute of physics,faculty of mathematics and science, Potsdam University,D-14415 Potsdam — 2Max Planck Institut of Colloids and Interface, Department of Biomaterials,Research Campus Golm, D-14424 Potsdam, Germany
Bone is a continuously regenerated living tissue. During this remodelling process, bone is cyclically resorbed and formed to allow it to achieve the optimal adaptation to the external mechanical environment. The investigation of the connection between external mechanical stimuli and bone remodelling is a not completely understood problem. In this contribution, we introduce a markov model for bone remodelling. We focus our attention on the remodelling of the inner spongy structure of bone, the trabecular structure. Assuming a connection between mechanical stimulus and trabecular cross-sectional area (A), we define phenomenological relations between the probability of formation and resorption and A. This is essentially a *translation* of the Wolff-Roux law in terms of an architectural parameter of the trabecular structure. We evaluate the evolution with time of the trabecular area distribution (TAD) for several different mechanical stimuli proposed in literature. The different assumptions lead to different TAD and we compare them with those obtained from micro tomographic scans of real bone.