Numerical simulation of the evolution of the pacreatic cancer and the axons regulation.

Python modules required

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Numpy (probably already installed):

$ pip install --user numpy

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Numba:

$ pip install --user numba

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Matplotlib:

$ pip install --user matplotlib

Main features

The main features of the library are:

• the numerical computation of the coupled dynamical system modeling the evolution of the pancreatic cancer and axons' remodeling,
• the numerical computation of in silico denervation on the system,
• the visualization of the evolution of the solution.

More details about the dynamical system can be found in CCHMMP.

File functions_pde_axons.py

Library of functions in order to compute the examples. The functions are organized in the following categories:

• the setting of the parameters,
• the discretization and computation of the coupled PDE and ODE equations,
• the in silico denervation,
• the visualization of the results.

File example_pde_axons.py

The file "example_pde_axons.py" is a python program which computes the dynamical system, computes the system in silico denervated at defined times and plots the results: control solution and denervated solution and the axons (see CCHMMP for more details). Three sets of parameters are given, one can choose between these sets and modify the times of denervation. The program returns three figures :

• the evolution of the axons,
• the evolution of the total density of cancer cells,
• the evolution of the distribution of the cells over the phenotype axis.

Run on local machine

$ python example_pde_axons.py

Documentation links

• numba - Python library to accelerate the runtime (Python)
• CCHMMP - A continuous approach of modeling tumorigenesis and axons regulation for the pancreatic cancer (Preprint)