Modelling of Biofilms

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Modelling of Biofilms
Objective of exercise

• To develop numerical methods for solving
  diffusion-reaction interaction in biofilms

Methodology

• Take simple example - First Order Reaction

• Divide biofilm into slices

• Mass balance of substrate at each slice

• Compute substrate concentrations inside biofilm

• Compare results with analytical solution

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Mass Balance at 'i'th slice
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Concluding Remarks

• Implicit Scheme

- unconditionally convergent and stable
- independent of step size
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Concluding Remarks