In living organisms chemical patterns determine mechanical heterogeneity ultimately leading to formation of complex shapes starting from a simple shape. In this project we will develop a computational framework to simulate this with the long term goal of finding the minimal ingredient to design an artificial tissue.

In this project, we will adapt the Rouse model, that describes the dynamics of a flexible polymer to account for different chromatin architecture. Specifically, we will develop a framework to study the signature of chromatin architecture in the dynamics of one or few segments in the polymer,

In this project, we will begin from the mechanics of flexible polymer popularly known as Rouse model. We will adapt this model to demonstrate different architecture of chromatin. Specifically, we will study in detail what are the signature of chromatin architecture dynamics of one or few beads carry. 

The project relates to pattern formation in a microfluidic network due to reacting and diffusing species. The objective is to estimate conditions under which Turing instabilities emerge in microfluidic networks. It involves mathematical modeling and computation. 

Reference: Van Gorder RA. 2021 A theory of pattern formation for reaction–diffusion systems on temporal networks. Proc.R.Soc.A477: 20200753. https://doi.org/10.1098/rspa.2020.0753