Theoretical Investigation Collective Cell Migration

Sahoo, Abhilash (2016) Theoretical Investigation Collective Cell Migration. Masters thesis, Indian Institute of Science Education and Research Kolkata.

PDF (MS dissertation of Abhilash Sahoo (11MS040)) Abhilas_Sahoo_-_MS_Thesis.pdf - Submitted Version Restricted to Repository staff only Download (2MB)

Abstract

The process of collective cell migration is a complex process rich in many physical features. Understanding the process requires an understanding of the collective coordinated motion of the cells and active cellular motility force. Many experiments have been done to understand collective migration, especially its physical aspects such as density variation, force distributions, velocity correlations, etc.. Fingering Instability is a type of front intstability that is observed in collective cellular motions. The Fingers bear remarkable similarity with the finger formation in passive fluid systems (Rayleigh- Taylor Instability), that is a direct mathematical consequence of Navier-Stokes theorem, Young Laplace equation and appropriate kinematic boundary conditions. The thesis attempts to explore the mechanistic description of the process and tries to explain the complex dynamics through relevant mathematical models built with ideas derieved from previously established particle-based models and a mathematical understanding of passive Rayleigh taylor Instability. This is also an attempt in understanding the origin and description of active cellular motility forces, transition from non-motile to motile state, and vice versa through mathematical modelling.

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