Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Center for Computational Biology, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA.
Phys Rev Lett. 2021 Aug 13;127(7):078101. doi: 10.1103/PhysRevLett.127.078101.
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 Letter 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 of spatial gradients in nutrients or growth factors in tissues.
通用的流量分配网络通常不会在服务区内以均匀的速率输送其负载，而是过度供应靠近营养源的区域，而使下游区域供应不足。在这封信中，我们展示了如何通过将组织生长与营养密度相结合的局部自适应规则，来实现自我组织以均匀输送营养的流量网络。这种几何自适应规则可以推广并应用于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的影响。
