| Abstract: |
| Rho GTPases-RhoA (hence Rho), Rac and cdc42 control enormous variety of processes within the cell. Rho controls stress fibre assembly, contractility and focal adhesion dynamics. We will focus on Rho activity dynamics linked to cellular contractility.
In this talk, model formulation, model analysis, numerical analysis, and bifurcation analysis as well as Rho amplitude analysis is presented that seeks to describe the Rho activity dynamics as observed experimentally ({\bf MPI/UDE}). Rho GTPase reaction kinetics are modeled using first principles based on experimental observations and new mathematical models are obtained. Rigorous mathematical and numerical analysis is carried out to provide robust models and numerical results that exhibit the spatio-temporal dynamics as observed experimentally. Detailed numerical bifurcation and numerical simulation results are obtained and these confirm theoretical analytical results as well as confirming experimental observations. |
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