Presentation Information
[MS08-01]Towards the Simplest Filament-Based Lamellipodium Model: A Reduced Approach to Lamellipodial Dynamics
*Gervy Marie Angeles1, Jared Barber2, Christian Schmeiser3 (1. Institute of Mathematics, University of the Philippines Diliman (Philippines), 2. Department of Mathematical Sciences, Indiana University Indianapolis (United States of America), 3. Faculty of Mathematics, University of Vienna (Austria))
Keywords:
mathematical model,actin filaments,cell cytoskeleton,model reduction
The Filament-Based Lamellipodium Model (FBLM) [1] provides a structured framework for understanding actin-driven cell motility. However, existing formulations often involve complex mechanical and biochemical interactions, making them computationally demanding. In this work, we develop a simplified FBLM by assuming rigid filaments, a fixed equilibrium angle at the leading edge, and no cross-link stretching. This reduction enhances analytical tractability while retaining essential biomechanical properties.
We describe the lamellipodium as two interacting filament families, parameterized within a toroidal coordinate system. The model is governed by transport equations that capture the evolution of filament orientations and leading-edge dynamics. Key results include the derivation of an area-conserving constraint, the emergence of a unique equilibrium solution for circular lamellipodia, and an analysis of how adhesion and twisting energy influence shape stability. This minimal yet biologically relevant framework provides new insights into lamellipodial motion, with potential extensions to more complex cellular behaviors.
[1] Manhart, A., Oelz, D., Schmeiser, C., & Sfakianakis, N. (2015). An extended Filament Based Lamellipodium Model produces various moving cell shapes in the presence of chemotactic signals. Journal of theoretical biology, 382, 244-258.
We describe the lamellipodium as two interacting filament families, parameterized within a toroidal coordinate system. The model is governed by transport equations that capture the evolution of filament orientations and leading-edge dynamics. Key results include the derivation of an area-conserving constraint, the emergence of a unique equilibrium solution for circular lamellipodia, and an analysis of how adhesion and twisting energy influence shape stability. This minimal yet biologically relevant framework provides new insights into lamellipodial motion, with potential extensions to more complex cellular behaviors.
[1] Manhart, A., Oelz, D., Schmeiser, C., & Sfakianakis, N. (2015). An extended Filament Based Lamellipodium Model produces various moving cell shapes in the presence of chemotactic signals. Journal of theoretical biology, 382, 244-258.