Below are links to some of my code, primarily written in MATLAB, that I developed for numerical solutions of differential equations and image analysis in my research:
Astrocyte Migration
1D simulations of astrocyte migration during embryonic development of the eye.
Linearly Perturbed May-Leonard
Numerical simulations and analysis of the May-Leonard three-species competition model with an added linear perturbation term.
Moth Mating
Computational models of moth navigation and mating.
Similarity Solutions
Similarity solutions of a generalized heat equation arising in a model of cell migration.
Single Layer Cell Migration in Spatial Coordinates
Numerical simulation of the collective migration of cells and tissues.
Strain Mapping
To calculate the deformation of a tissue via estimates of the engineering/Cauchy strains ε_{xx}, ε_{yy}, ε_{xy}, and ε_{yx}, and the displacement gradient ∇u between two images in a time-lapse sequence.
Lab Group Software
Below are links to code that students in my lab group developed:
glioma-Tcell-MDSC
Lead developer: Hannah Anderson
Simulations of a mathematical model of interactions between glioma cells, T cells, and myeloid-derived suppressor cells (MDSCs)
MidgePy
Lead developer: Shane Gladson
An agent-based model of biting midge dynamics to understand Bluetongue outbreaks
