Dynamics of Lamellipodia of Migrating Cells

Mogilner 研究者建立了鱼类角质细胞、成纤维细胞和线虫精子细胞板状伪足的确定性和随机性二维计算模型。 他推导和分析模型方程（一）突出的前缘，（二）收缩的板状细胞骨架，（三）营业额和调节的板状细胞骨架。 该方程被集成到现实的二维模型的片足类。 在一个自由边界域上模拟模型方程产生的运动，力和形状的地图，与现有的实验数据进行比较，以验证themodels。 研究人员使用了一种新的组合，分析和计算机模拟，以发展解释和预测模型的迁移细胞。 细胞迁移在形态发生、伤口愈合和癌症中起着至关重要的作用。 它是基于一个复杂的自组织机械化学机器。 一些相关的速度、力、速率和浓度已经被测量出来，但是力、运动和化学反应在细胞迁移中的结合的细节还不清楚。 研究者的目标是定量地了解细胞运动的分子基础，这些模型可以测试细胞运动的合理情况，它们提供了一个新的跨学科水平的理解细胞运动和新的方法来预测细胞在重要的医学和技术情况下的行为，如细胞分裂，趋化性，吞噬作用和伤口愈合。 学生和博士后研究人员参与了该项目，加强了在数学和生物学的关键交叉点训练有素的劳动力的发展。

Mogilner The investigator develops deterministic and stochastictwo-dimensional computational models of the lamellipodia of fishkeratocyte, fibroblast and nematode sperm cells. He derives andanalyzes model equations for (i) protrusion of the leading edge,(ii) contraction of the lamellipodial cytoskeleton, and (iii)turnover and regulation of the lamellipodial cytoskeleton. Theequations are integrated into the realistic two-dimensional modelof the lamellipod. Simulations of the model equations on a freeboundary domain produce maps of movements, forces and shapes thatare compared with available experimental data to validate themodels. The investigator uses a novel combination of mathematicalanalysis and computer simulations to develop explanatory andpredictive models of migrating cells. Cell migration isfundamentally important in morphogenesis, wound healing, andcancer. It is based on a complex self-organized mechanochemicalmachine. Some relevant velocities, forces, rates andconcentrations have been measured, but minute details ofintegration of forces, movements and chemical reactions into thecell migration are unclear. The investigator's goal is tounderstand quantitatively the molecular basis of cell movements.The models allow testing plausible scenarios of cell movements.They provide a new interdisciplinary level of understanding cellmovements and new methods of predicting cell behavior inimportant medical and technological situations such as celldivision, chemotaxis, phagocytosis, and wound healing. Studentsand postdoctoral researchers are involved in the project,enhancing the development of a trained workforce at the criticalintersection of mathematics and biology.