论文标题
严格的宏观限制的新型推导来自纤维环境中信号触发细胞迁移的微膜描述
A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments
论文作者
论文摘要
在这项工作中，我们高档一个典型的动力学转运方程，该方程模拟了一个细胞种群在纤维环境中移动的，具有化学或触觉信号，从而影响细胞速度的方向和大小。提出的缩放方法不依赖正交性，并以统一的方式对待抛物线和双曲线尺度。结果表明，正式限制程序的步骤是通过严格的操作来反映出的，但要采取有限的措施，只要措施值下的位置方向纤维分布都具有一定的空间连续性。
In this work we upscale a prototypical kinetic transport equation which models a cell population moving in a fibrous environment with a chemo- or haptotactic signal influencing both the direction and the magnitude of the cell velocity. The presented approach to scaling does not rely on orthogonality and treats parabolic and hyperbolic scalings in a unified manner. It is shown that the steps of the formal limit procedures are mirrored by rigorous operations with finite measures provided that the measure-valued position-direction fiber distribution enjoys some spacial continuity.
