Chandrasekhar Venkataraman

TL;DR: A mathematical and a computational framework for the modelling of cell motility is presented and a protrusive force associated with a reaction–diffusion system (RDS) posed on the cell membrane is considered, with cell polarization modelled by this surface RDS.

TL;DR: In this paper, a linear parabolic differential equation on a moving surface is discretized in space by evolving surface finite elements and in time by backward difference formulas (BDF) using results from Dahlquist's G-stability theory and Nevanlinna & Odeh's multiplier technique together with properties of the spatial semi-discretization, stability of the full discretization is proven for the BDF methods up to order 5 and optimal-order convergence is shown.

TL;DR: The histidine–aspartate kinase Sln1 acts as a molecular sensor of turgor in appressoria of the rice blast fungus Magnaporthe oryzae, enabling penetration of the host leaf cuticle and plant infection.

TL;DR: In this article, the authors formulated new models for coupled systems of bulk-surface reaction-diffusion equations on stationary volumes and proved the necessary conditions for diffusion-driven instability for the coupled system.

TL;DR: New models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes are formulated and Robin-type boundary conditions seem to introduce a boundary layer coupling the bulk and surface dynamics.