Team:Purdue/Modeling
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- | Where r is the positive rate of growth, K is the positive carrying capacity of the environment, and N is the population level. | + | Where r is the positive rate of growth, K is the positive carrying capacity of the environment, and N is the population level. This equation will eventually run to one of two steady state equilibria as the population either (A) approaches its carrying capacity [N = K] or runs to extinction [N=0]. |
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Revision as of 19:37, 8 July 2012
Modeling
Design
- Desired Outcomes of Models
- Levels of Abstractions
- Biofilter response to Environmental conditions
- Shear
- Flow
- Temperature
- Abiotic Surface (Adhesion)
- Formation of Silica Matrix
- BioFilm Development
- Model of Bacterial Growth, Death, Breaking Off
- Expression of Proteins
- Response to addition of IPTG
- Optimal Production rate/expression of Curli and OmpA-Silicatein Alpha protiens
- Control Systems
- Fine Tuning of Protein Expression with RBS/Promoter combination variants
- Platforms
- Considerations and Assumption
- Parameters
Equations
The growth of the Biofilm can be modeled with modified continuous growth models. Traditional models of population growth make use of basic differential equations to measure the change in population over unit time. At the most fundamental level
Population Change Rate = | dN | = rN(1-N/K) |
dt | ||
Outcomes
Parameter | Theoretical Value | Experimental Value | Analysis |
Parameter 1 | ____ | ____ | ____ |
Parameter 2 | ____ | ____ | ____ |
Parameter 3 | ____ | ____ | ____ |
Parameter 4 | ____ | ____ | ____ |