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Modeling Wound Healing Without Migration and Proliferation

Advisor Dr. Yi Jiang (Georgia State University)
Presented At • Summer Undergraduate Research Symposium (SURS) 2024 (Poster)
Code Repository GitHub: vanthienphan2004/Modeling-Wound-Healing

Abstract

Age-related Macular Degeneration (AMD) is a leading cause of irreversible vision impairment and blindness worldwide, characterized by progressive degeneration of the Retinal Pigment Epithelium (RPE). Developing targeted therapeutic interventions requires an in-depth understanding of how monolayer epithelial sheets recover from cellular injury when cell division and long-range migration are suppressed.

In this project, we established a mechanistic mathematical modeling framework for RPE wound healing. Using the open-source modeling environment CompuCell3D, we simulated cellular purse-string contraction and cell fusion repair mechanisms via a Q-Potts (Glazier-Graner-Hogeweg) cellular model. Monte Carlo sampling was utilized to evaluate Hamiltonian free-energy states governing cellular deformation, cell-cell adhesion energy, and surface tensions.

By tracking and analyzing texture tensors, spatial coordinates, and boundary points across iterative simulations, we quantified wound closure efficiency. Our findings proved that lower cellular volume constraints, higher initial wound radius, and larger affected patch areas yield statistically slower wound closure, providing foundational quantitative parameters for clinical AMD therapeutic modeling.

Conference Poster

Modeling Wound Healing Without Migration and Proliferation Poster
Click poster to enlarge / download