xiaochengcike / 2d_proliferation-invasion-recruitment

These codes were used to generate the simulations in the paper "Simulating PDGF-driven Glioma Growth and Invasion in an Anatomically Accurate Brain Domain." submitted to the Bulletin of Mathematical Biology.

2D_Proliferation-Invasion-Recruitment

These MATLAB codes were used to generate the simulations in the paper "Simulating PDGF-driven Glioma Growth and Invasion in an Anatomically Accurate Brain Domain." submitted to the Bulletin of Mathematical Biology in 2016.

Essentially we are solving this mathematical model using Godunov splitting to apply the diffusion and reaction operators. We also use a split to set up the problem as locally one-dimensional, solving in x- and y-directional sweeps.

File run_2dpir_sims_set_newR0.m is the code where the simulation parameters are set, and is used to call the primary simulation function, run_pir_sim_newR0.m. This function then calls the other codes, set_interfaces.m and pir_numerics_2d.m

set_interfaces.m helps set up the locally one dimensional approach to solve in x-sweeps and y-sweeps.

pir_numerics_2d.m is the main numerical solving code and runs the diffusion solves, calling diffusion_op.m, as well as the reaction solves, calling pir_reaction.m

At the end of each time step, pir_numerics_2d.m calls T2radius.m to compute the radius of the area of elevated cellular density that would be detected on T1 and T2 MRI modalities, to determine if this is a size at which we would like to save simulation solutions (if saving by size - if saving by time, this radius is recorded at the time points at which the simulation saves solution data).