分布网络通过几何自组织实现均匀灌注
Distribution networks achieve uniform perfusion through geometric self-organization
摘要:
一般的流量分配网络通常不会在整个服务区域以均匀的速率输送其负荷,而是过度供应营养源附近的区域,而使下游区域供应不足。在这项工作中,我们展示了如何将组织生长与营养密度耦合的局部自适应规则导致自组织均匀地提供营养的流动网络。这种几何自适应规则可以推广并导入到基于力学的自适应模型中,以解决组织中营养物质或生长因子的空间梯度效应。
英文摘要:
A generic flow distribution network typically does not deliver its load at a uniform rate across a service area, instead oversupplying regions near the nutrient source while leaving downstream regions undersupplied. In this work we demonstrate how a local adaptive rule coupling tissue growth with nutrient density results in a flow network that self-organizes to deliver nutrients uniformly. This geometric adaptive rule can be generalized and imported to mechanics-based adaptive models to address the effects spatial gradients in nutrients or growth factors in tissues.
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