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Air Max 90 Infrared Has’minskiĭ which is a two dimensional SDE
When plated onto a substrate, cells spread. Many cell types, including smooth muscle cells and fibroblasts, spread more effectively on stiffer substrates, and a simple empirical relationship has been determined that relates a cell's spread area to the substrate stiffness. In addition, some crawling cells when plated onto a stiff substrate will not migrate onto soft substrate, a process called “durotaxis”. Here we show that the resistive force predicted previously for dynamic adhesion molecules can account for both of these mechanosensory effects. Our setup is a classical stochastic averaging one studied by Has’minskiĭ, which is a two-dimensional SDE (on a cylinder) consisting of a fast angular drift and a slow axial diffusion. We seek to understand the asymptotics of the flow generated by this SDE. To do so, we fix Air Max 90 Infrared nn initial points on the cylinder and consider the axial components of the trajectories evolving from these points. We conclude a propagation-of-chaos. There Air Max 2013 Cheap are two components of the limiting nn-point motion: a common Brownian motion, and nn independent Brownian motions, one for each initial point.