6 votes

How to make a good mesh in a biologically accurate model with very small domains

You're trying to have your cake and it it too. This does not work. As a general rule, for problems with features on different length scales, you need meshes that are fine in at least some parts of ...
Wolfgang Bangerth's user avatar
5 votes

How to make a good mesh in a biologically accurate model with very small domains

With conforming triangular meshes, it will be difficult to make an isotropic mesh which adapts to multiple dramatically different length scales in such a short space without introducing extraneous ...
Daniel Shapero's user avatar
3 votes
Accepted

SIRS Model doesn't depend on initial conditions?

Your model seems to have a single stable critical point that attracts all orbits. You're plotting $(S(t), I(t), R(t))$ as functions of time for specific initial conditions, but actually the easier way ...
Kirill's user avatar
  • 11.4k
3 votes

Is it possible to simulate life?

The answer as of 2017, to the best of my knowledge, is "not yet." Your question is treated in detail here and in the references therein.
Juan M. Bello-Rivas's user avatar
1 vote

Modeling Homeostatic Regulation with Python: How to Simulate Dynamic Systems

To solve for multiple species you just need to make your model function return a vector where each entry is the derivative of one variable. The example in the documentation shows this for a system of ...
user9794's user avatar
  • 465
1 vote

how to overcome division by zero in the Hodgkin Huxley neuron model

You have AlphaNa = 0.1 * f(0.1*(VoltageDelta-10.0)) where $$ f(x)=\frac{x}{1-\exp(-x)} $$ The limit for $x\to 0$ can actually be interpreted as difference quotient,...
Lutz Lehmann's user avatar
  • 5,974
1 vote

How to make a good mesh in a biologically accurate model with very small domains

Resolving small features in FEM will always be costly, there is no getting away from that fact. Your problem seems to be framed in terms of computational burden. In my own case, I was looking at ...
Peadar's user avatar
  • 31

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