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A phenomenological mixture model for biosynthesis and linking of cartilage extracellular matrix in scaffolds seeded with chondrocytes

机译:软骨细胞植入支架中软骨细胞外基质的生物合成和连接的现象学混合模型

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摘要

A phenomenological mixture model is presented for interactions between biosynthesis of extracellular matrix (ECM) constituents and ECM linking in a scaffold seeded with chondrocytes. A system of three ordinary differential equations for average apparent densities of unlinked ECM, linked ECM and scaffold is developed along with associated initial conditions for scaffold material properties. Equations for unlinked ECM synthesis and ECM linking include an inhibitory mechanism where associated rates decrease as unlinked ECM concentration in the interstitial fluid increases. Linking rates are proposed to depend on average porosity in the evolving tissue construct. The resulting initial value problem contains nine independent parameters that account for scaffold biomaterial properties and interacting mechanisms in the engineered system. Effects of parameter variations on model variables are analyzed relative to a baseline case with emphasis on the evolution of solid phase apparent density, which is often correlated with the compressive elastic modulus of the tissue construct. The new model provides an additional quantitative framework for assessing and optimizing the design of engineered cell-scaffold systems and guiding strategies for articular cartilage tissue engineering.
机译:提出了一种现象学的混合模型,用于细胞外基质(ECM)成分的生物合成与植入软骨细胞的支架中的ECM连接之间的相互作用。开发了一个由三个常态微分方程组成的系统,用于求解未连接的ECM,连接的ECM和支架的平均表观密度,以及与支架材料特性相关的初始条件。未链接的ECM合成和ECM链接的方程式包括一种抑制机制,其中伴随速率随着组织液中未链接的ECM浓度的增加而降低。提出的连接速率取决于正在发展的组织构造中的平均孔隙率。由此产生的初始值问题包含九个独立的参数,这些参数说明了支架生物材料的特性以及工程系统中的相互作用机制。相对于基线情况,分析了参数变化对模型变量的影响,重点是固相表观密度的变化,固相表观密度的变化通常与组织构造体的压缩弹性模量相关。新模型为评估和优化工程化细胞支架系统的设计以及关节软骨组织工程的指导策略提供了额外的定量框架。

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