N. T. Fadai

Modelling the effect of matrix metalloproteinases in dermal wound healing

This paper develops a mathematical model of MMP interactions in dermal wound healing, showing that deregulated apoptosis and MMP overproduction lead to chronic wounds.

Pattern formation and travelling waves in a multiphase moving boundary model of tumour growth

This study analyzes a multiphase model of tumour growth, showing patterned solutions and travelling waves that indicate tumour growth or extinction.

Travelling wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth

The paper develops a multiphase moving boundary model for tissue growth in scaffolds and identifies optimal parameters for tissue expansion.

Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics

The paper develops a stochastic individual-based model to link local mechanisms to global Allee effects in population dynamics, using ecological and cell biology data.

Population dynamics with threshold effects give rise to a diverse family of Allee effects

This paper analyzes a population model with threshold effects to show how different local growth mechanisms produce various Allee effects, using cancer cell growth data for calibration.

Accurate and efficient discretisations for stochastic models providing near agent-based spatial resolution at low computational cost

This paper introduces a computationally efficient stochastic agent-based model that balances resolution and cost, matching continuum models in relevant parameter regimes.