Team:St Andrews/project/modelling/model 3/growthdeathfunctions

From 2010.igem.org

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Rather than artificially change the concentrations of HSL in the system, either by manually adding it or taking it away, we felt it would be more sensible and ultimately more biologically realistic to simulate the physical growth and subsequent death of a cell population. This was practically implemented in our code by creating two functions, "CellGrowt" and "CellDeath"
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Rather than artificially change the concentrations of HSL in the system, either by manually adding it or taking it away, we felt it would be more sensible and ultimately more biologically realistic to simulate the physical growth and subsequent death of a cell population. This was practically implemented in our code by creating two functions, "CellGrowth" and "CellDeath"
=Cell Growth=
=Cell Growth=
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Biologically we made the assumption that
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Biologically we made the assumption that a population of E.coli cells will double every 20 minutes, which is accepted as a typical doubling time for that particular species. The function then simply takes the number of cells and multiplies it by a value determined by our doubling time and the step size chosen for the Runge-Kutta solver. So the formula for calculating the multiplication constant is:
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[[Image:Doubling time.jpg]]

Revision as of 14:20, 23 October 2010


St Andrews from East Sands

University of St Andrews iGEM 2010

Welcome!

The Saints

University of St Andrews iGEM 2010

Our first year at iGEM!

Cell Growth & Death Functions

Rather than artificially change the concentrations of HSL in the system, either by manually adding it or taking it away, we felt it would be more sensible and ultimately more biologically realistic to simulate the physical growth and subsequent death of a cell population. This was practically implemented in our code by creating two functions, "CellGrowth" and "CellDeath"

Cell Growth

Biologically we made the assumption that a population of E.coli cells will double every 20 minutes, which is accepted as a typical doubling time for that particular species. The function then simply takes the number of cells and multiplies it by a value determined by our doubling time and the step size chosen for the Runge-Kutta solver. So the formula for calculating the multiplication constant is:


Doubling time.jpg