Difference between revisions of "Team:Paris Bettencourt/Model"
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| − | <li> | + | <li> Enzyme Database- BRENDA |
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Revision as of 18:34, 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.
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
- Enzyme Database- BRENDA
- Numerical Analysis and Optimization -An Introduction to Mathematical Modelling and Numerical Simulation Grégoire Allaire
+33 1 44 41 25 22/25
igem2016parisbettencourt@gmail.com 