Migrating cells choose their preferential direction of motion in response to different signals and stimuli sensed by spanning their external environment. However, the presence of dense fibrous regions, lack of proper substrate, and cell overcrowding may hamper cells from moving in certain directions or even from sensing beyond regions that practically act like physical barriers. We extend the non-local kinetic model proposed by Loy and Preziosi (2019) to include situations in which the sensing radius is not constant, but depends on position, sensing direction and time as cells' behavior might be determined on the basis of information collected before reaching physically limiting configurations. We analyze how the actual possible sensing of the environment influences the dynamics by recovering the appropriate macroscopic limits and by integrating numerically the kinetic transport equation.
A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations
Institute of Mathematics, Johannes Gutenberg-University（数学研究所，约翰内斯·古腾堡大学）；Institute of Molecular Biophysics, Johannes Gutenberg-University（分子生物物理研究所，约翰内斯·古腾堡大学）
A coupled geometric surface and surface reaction-diffusion framework for modelling nuclear mechanics during confined cell migration
Université Côte d’Azur（蔚蓝海岸大学）；CNRS, Laboratoire Jean-Alexandre Dieudonné（法国国家科学研究中心让·亚历山大·迪厄多内实验室）；Université Paris Cité（巴黎西岱大学）；CNRS, Epigenetics and Cell Fate（法国国家科学研究中心表观遗传与细胞命运研究组）；University of British Columbia（不列颠哥伦比亚大学）；University of Zimbabwe（津巴布韦大学）；University of Pretoria（比勒陀利亚大学）；University of Johannesburg（约翰内斯堡大学）；Institut Universitaire de France（法兰西学院）
Transient Leadership and Collective Cell Movement in Early Diverged Multicellular Animals
细胞的集体运动对于一些最重要的任务至关重要，包括伤口愈合、发育和免疫应答[Friedl and Gilmour 2009; Tokarski et al. 2012; Lee et al. 2012; Beltman et al. 2009]，并且对于许多病理过程是常见的，包括癌细胞侵袭和致畸[Khalil and Friedl 2010]。对单细胞运动的广泛理解[Rørth 2011; Insall和Machesky 2011; Houk et al. 2012]不足以预测细胞群的行为[Theveneau et al. 2013; Trepat，X.和Fredberg 2011]，并且在集体细胞迁移中识别协调的潜在规则仍然是回避的。集体运动的假定好处很少在细胞尺度上得到检验。例如，虽然集体感知允许较大的群体在导航中表现出更高的准确性[Simons 2004; Berdahl et al. 2013]，并且仅通过少数个体的领导就可以实现群体出租[Couzin et al. 2005]，但从未在集体细胞迁移中研究过这种效应。我们将研究原始多细胞动物Trichoplax adhaerens的集体运动和决策，以了解细胞间的协调如何影响动物行为以及迁移的准确性如何与细胞群大小相关。
