Dynamics of Lamellipodia of Migrating Cells

研究人员莫吉尔纳开发了鱼角质细胞、成纤维细胞和线虫精子细胞的片状脂膜的确定性和随机性二维计算模型。他推导和分析了(I)前沿的突出，(Ii)片状细胞骨架的收缩，以及(Iii)片状片状细胞骨架的周转和调节的模型方程。这些方程被集成到Lamelod的真实二维模型中。对自由边界区域上的模型方程进行模拟，生成运动、力和形状的地图，并与现有的实验数据进行比较，以验证模型的有效性。研究人员使用数学分析和计算机模拟的新组合来开发迁移细胞的解释性和预测性模型。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。它是基于一台复杂的自组织机械化学机。已经测量了一些相关的速度、力、速率和浓度，但力、运动和化学反应对细胞迁移的整合细节尚不清楚。研究人员的目标是定量地了解细胞运动的分子基础。这些模型允许测试细胞运动的可信场景。它们提供了理解细胞运动的新的跨学科水平，以及预测细胞在重要的医疗和技术情况下的行为的新方法，如细胞分裂、趋化、吞噬和伤口愈合。学生和博士后研究人员参与了该项目，在数学和生物的关键交叉点加强了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.