Modeling and simulation of nuclear architecture reorganization process using a phase field approach

TL;DR

This paper introduces a phase field/diffusive interface model with a Lagrange multiplier to simulate nuclear architecture reorganization, validated through numerical simulations matching experimental observations.

Contribution

It presents a novel phase field model with specific constraints and efficient numerical schemes for simulating nuclear architecture reorganization.

Findings

Successfully reproduces experimental nuclear reorganization processes

Develops robust linear and nonlinear numerical schemes

Validates model with extensive simulations

Abstract

We develop a special phase field/diffusive interface method to model the nuclear architecture reorganization process. In particular, we use a Lagrange multiplier approach in the phase field model to preserve the specific physical and geometrical constraints for the biological events. We develop several efficient and robust linear and weakly nonlinear schemes for this new model. To validate the model and numerical methods, we present ample numerical simulations which in particular reproduce several processes of nuclear architecture reorganization from the experiment literature.