Difference between revisions of "Team:ETH Zurich/Modeling/Reaction-diffusion"

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Revision as of 16:05, 18 August 2015

"What I cannot create I do not understand."
- Richard Feynmann

Full Model

3D model in COMSOL with reaction-diffusion

Four cases

Assumptions

  • Target mammalian cell located in the center of the well
  • Constant rate of lactate production
  • E. coli bound to target cell abstracted into homogeneous layer around target cell
  • Two different forms of unbound E. coli
    • Discrete: single cell of E. coli suspended in the medium
    • Bulk: reactions of the rest of the E. coli simulated in same space as medium
  • Lactate represented as two states: inside and outside E. coli, denoted \(Lac_{int}\) and \(Lac_{ext}\), respectively
    • \(Lac_{int}\) can diffuse freely through medium and membranes, \(Lac_{ext}\) cannot
    • Use to simulate different import and export rates of lactate into E. coli
  • Bulk E. coli grow logistically

Results

1D model in MATLAB

1D and 2D COMSOL models