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.
ABC Analysis of Astrocyte Migration
Numerical simulations of astrocyte migration and differentiation during embryonic development of the retina and its corresponding approximate Bayesian computation (ABC) analysis for parameter estimation and model reduction.
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)
glioma-Tcell-MDSC-treatment
Lead developer: Hannah Anderson
Simulations of a mathematical model of interactions between glioma cells, T cells, and myeloid-derived suppressor cells (MDSCs) with treatment.
MidgePy
Lead developer: Shane Gladson
An agent-based model of biting midge dynamics to understand Bluetongue outbreaks
