Difference between revisions of "Team:Paris Bettencourt/Model"

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Revision as of 17:31, 18 October 2016


Modelling Group: Computationally model stain removal using enzymes

Goals

  • To make a computational model to analyze stain-enzyme dynamics
  • To find optimum parameters

Results

  • Developed a differential equation model to analyze stain dynamics
  • A computational approach using Gillespie algorithm
  • A computational approach using explicit finite difference method for three dimensional modelling

Methods

  • Matlab
  • ODE solvers
  • Gillespie Algorithm
  • Explicit Finite Difference method (FDM)

Abstract


Motivation and Background

Challenge: Modelling stain removal in a compact washing machine

A typical garment is composed of several square meters of fabric and a typical compact washing machine has a volme of 70 liters.

Quercetin strains degradation

Example figure box

Results

Model1: Ode-based

Model2: Gillespie Algorithm-based

Model3: 3D modelling using FDM


Methods

Model1: Ode-based


Model2: Gillespie Algorithm-based


Model3: 3D modelling using FDM

Explicit Finite Different scheme is used to model three dimensional stain - enzyme dynamics. The enzyme is assumed to be homogeneously spread through out the spatial domain at the start of the experiment. The scheme was applied on a reaction and diffusion equation thereafter. No flux boundary condition was applied at all boundaries which specifically meant for zero enzyme loss from the system. One of the boundaries is taken as the shirt with stain (1cm^2 area). The parameters and the initial conditions used in the simulations were chosen as realistic as possible.

Attributions

This project was done mostly by Jake Wintermute, Mislav Acman and Mani Sai Suryateja Jammalamadaka.

References

Centre for Research and Interdisciplinarity (CRI)
Faculty of Medicine Cochin Port-Royal, South wing, 2nd floor
Paris Descartes University
24, rue du Faubourg Saint Jacques
75014 Paris, France
+33 1 44 41 25 22/25
igem2016parisbettencourt@gmail.com
2016.igem.org