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