amplitude-equations-bulk-surface-rd-equations

Scripts to compute the amplitude equations in a bulk-surface RD equation in a ball

https://github.com/edgardeitor/amplitude-equations-bulk-surface-rd-equations

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Scripts to compute the amplitude equations in a bulk-surface RD equation in a ball

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  • Host: GitHub
  • Owner: edgardeitor
  • Language: Mathematica
  • Default Branch: main
  • Size: 583 KB
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Created over 2 years ago · Last pushed over 1 year ago
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Readme Citation

README.md

Amplitude-equations-bulk-surface-RD-equations

Scripts to compute the amplitude equations in a bulk-surface RD equation in a ball.

To get the coefficients of the amplitude equations, create a 'foo.py' file and place it into a folder called 'foo'. Said file must have the same format as the '.py' files in the 'demos' folder or 'nameoffolder.py'. Speficially, you need to provide the kinetics and the diffusion matrix of your system, together with names and values of parameters you would like to study in your bifurcation diagram.

After that, you run the Python file and the output will be some text files places into the folder 'foo', together with the Mathematica Plotter, which you can open and run to get the bifurcation curves and the values of the coefficients. Make sure you set the parameter values in said file as you would like to use them for the computation you are running.

Owner

  • Name: Edgardo Villar-Sepúlveda
  • Login: edgardeitor
  • Kind: user

I am a PhD student in Engineering Mathematics and I love learning new things.

Citation (CITATION.cff)

# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!

cff-version: 1.2.0
title: Amplitude equations in bulk-surface RD equations
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Edgardo
    family-names: Villar-Sepúlveda
    email: edgardo.villar-sepulveda@bristol.ac.uk
    affiliation: University of Bristol
    orcid: 'https://orcid.org/0000-0001-5836-7372'
repository-code: >-
  https://github.com/edgardeitor/Amplitude-equations-bulk-surface-RD-equations
abstract: >-
  Scripts to compute the amplitude equations for a Turing
  and transcritical bifurcation in bulk-surface
  reaction-diffusion equations in a ball
keywords:
  - 'bulk-surface, sphere, ball, Turing, transcritical'

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