增殖细胞群体中趋化驱动入侵的流体动力学理论
Hydrodynamic theories of chemotaxis-driven invasion in proliferating cell populations
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中文总结 AI 辅助
本研究提出多尺度框架，从介观细胞粒子描述推导细胞入侵的宏观流体动力学理论，揭示不同增殖渐近 regime 下产生团块与流两种入侵模式，为研究细胞入侵的多尺度调控提供新方法。
中文摘要 AI 辅助
沿化学梯度的定向迁移与增殖是多种生物过程中集体入侵的核心驱动因素，涵盖从胚胎形态发生到癌症的诸多领域。然而，学界对二者的相互作用如何产生不同入侵模式的理解仍不完整。本研究提出一种多尺度框架，以系统地将细胞的介观描述（即作为定向自推进、相互作用且可增殖的粒子）推导为细胞入侵的宏观流体动力学理论。该框架揭示，在细胞增殖的不同渐近 regime 下，相同动力学方程会产生团块与流两种入侵模式：流入侵是增殖与细胞运动平衡的细胞群体的特征，而团块入侵则需要运动的流体动力学时间尺度与更慢的增殖时间尺度分离。通过多尺度方法，分析表明团块入侵可描述为依赖质量的行波解族的缓慢演化。总体而言，本研究提供了一种新方法，用于研究细胞增殖与集体入侵在不同时间尺度上演化的系统中细胞入侵的多尺度调控。
英文摘要
Biased migration up chemical gradients and proliferation are fundamental drivers of collective invasion in several biological processes ranging from embryonic morphogenesis to cancer. Nonetheless, our understanding of how their interplay yields distinct invasion patterns remains incomplete. In this work, we propose a multiscale framework to systematically derive macroscopic hydrodynamic theories of cell invasion from a mesoscopic description of cells as biased self-propelled, interacting particles that proliferate. Our framework reveals how clump and stream invasion patterns emerge from the same kinetic equation under different asymptotic regimes of cell proliferation. Stream invasion is characteristic of cell populations in which proliferation balances cell motion. In contrast, clump invasion requires a separation of the hydrodynamic timescale of motion and the slower timescale of proliferation. By means of a multiple-scale approach, our analysis reveals that clump invasion is described as a slow evolution through a family of mass-dependent travelling-wave solutions. Overall, our work offers a novel approach to investigate multiscale regulation of cell invasion in systems where cell proliferation and collective invasion evolve on distinct timescales.
