research Flux Balance Analysis & Reductive Stress in Biofilms Coupling flux balance analysis with reaction–diffusion PDEs to model oxygen-driven reductive stress in microbial biofilms. Schistosomiasis Transmission Modeling ODE and PDE models of schistosomiasis transmission dynamics, including 2D spatial simulation. Chronic Kidney Disease Progression Predictive modeling of chronic kidney disease progression from longitudinal eGFR data. Complex Systems & Epidemic Dynamics SVEIR epidemic models, Vicsek swarm dynamics, and cellular automata. Bayesian Inference for Experimental Data Bayesian hierarchical modeling and MCMC for uncertainty quantification in experimental data. Numerical Methods & Scientific Computing Finite-difference PDE solvers, traffic modeling, image processing, and dynamical-systems analysis.
