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

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<li>Constant rate of lactate production</li>
 
<li>Constant rate of lactate production</li>
 
<li><i>E. coli</i> bound to target cell abstracted into homogeneous layer around target cell</li>
 
<li><i>E. coli</i> bound to target cell abstracted into homogeneous layer around target cell</li>
<li>Lactate represented as two states: inside and outside <i>E. coli</i>, denoted $Lac_int$ and $Lac_ext$, respectively</li>
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<li>Two different forms of unbound <i>E. coli</i></li>
 
<ul>
 
<ul>
<li>$Lac_int$ can diffuse freely through medium and membranes, $Lac_ext$ cannot</li>
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<li>Discrete: single cell of <i>E. coli</i> suspended in the medium</li>
 +
<li>Bulk: reactions of the rest of the <i>E. coli</i> simulated in same space as medium</li>
 +
</ul>
 +
<li>Lactate represented as two states: inside and outside <i>E. coli</i>, denoted \(Lac_{int}\) and \(Lac_ext\), respectively</li>
 +
<ul>
 +
<li>\(Lac_{int}\) can diffuse freely through medium and membranes, \(Lac_{ext}\) cannot</li>
 
<li>Use to simulate different import and export rates of lactate into <i>E. coli</i></li>
 
<li>Use to simulate different import and export rates of lactate into <i>E. coli</i></li>
 
</ul>
 
</ul>
 +
<li>Bulk <i>E. coli</i> grow logistically</li>
 
</ul>
 
</ul>
 
<h3>Results</h3>
 
<h3>Results</h3>

Revision as of 15:58, 18 August 2015

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

Full Model

1D model in MATLAB

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 and 2D COMSOL models