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arXiv 1111.6916q-bio.TO
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骨重建的细胞动力学:一个数学模型

The cellular dynamics of bone remodeling: a mathematical model

Marc Ryser, Svetlana V. Komarova, Nilima Nigam

摘要:

脊椎动物骨的机械性能在很大程度上取决于一个过程,其中涉及三种不同细胞类型的复杂相互作用。该过程称为{ \it骨重建},并且在成熟骨骼的多个部位异步发生。所涉及的细胞是骨再吸收破骨细胞、骨基质产生成骨细胞和机械敏感骨细胞。这些细胞通过自分泌和旁分泌信号因子相互交流,并在复杂的实体中运作,即所谓的骨多细胞单位(BMU)。为了研究计算机模拟的BMU动力学,我们开发了一种新型的数学模型,得到了具有时间延迟的非线性偏微分方程系统。该模型描述了成骨细胞和破骨细胞群体以及关键信使分子RANKL及其诱饵受体OPG的动力学。标度理论用于解决参数敏感性和预测病理性重塑制度的出现。该模型在一个和两个空间维度,在空间和显式延迟方程求解器的有限差分格式进行了数值研究。计算结果与体内观察结果一致,并为RANKL/OPG通路在骨重建空间调节中的作用提供了新的见解。

英文摘要:

The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bone remodeling}, and occurs asynchronously at multiple sites in the mature skeleton. The cells involved are bone resorbing osteoclasts, bone matrix producing osteoblasts and mechanosensing osteocytes. These cells communicate with each other by means of autocrine and paracrine signaling factors and operate in complex entities, the so-called bone multicellular units (BMU). To investigate the BMU dynamics in silico, we develop a novel mathematical model resulting in a system of nonlinear partial differential equations with time delays. The model describes the osteoblast and osteoclast populations together with the dynamics of the key messenger molecule RANKL and its decoy receptor OPG. Scaling theory is used to address parameter sensitivity and predict the emergence of pathological remodeling regimes. The model is studied numerically in one and two space dimensions using finite difference schemes in space and explicit delay equation solvers in time. The computational results are in agreement with in vivo observations and provide new insights into the role of the RANKL/OPG pathway in the spatial regulation of bone remodeling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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