IGEM:IMPERIAL/2008/New/Growth Curve

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Growth Curve

Authors: Erika and Prudence

Editors: Erika

Upload Mattieu's tutorials

Why model the growth curve? To characterise the chassis.

How to model the growth curve?

In order to model the growth of B. subtilis, the process was broken down into three main steps where a submodel is produced in MATLAB in each step. Each submodel is an ODE model which can be simulated using MATLAB. The variables in each submodel are modified. So in the final step, a combination of submodel 1 and 2 are incorporated with submodel 3, resulting in a more complex model which illustrates the behaviour of bacterial growth. For more details about the process of building the model click on the following link: Tutorial for Growth curve.


Results from submodel 1

Simulations


SIMULATION OF THE GENERAL GROWTH AND THE CURBED GROWTH MODEL

Conclusion: The higher the internal nutrient concentration, the more closely the actual growth approximates the exponential growth, i.e. the faster the growth rate.

MATLAB code

Simulations

SIMULATING FOR VARIOUS VALUES OF THE INTERNAL CONCENTRATION

Conclusion: The higher the internal concentration of nutrients, the faster the growth rate.

The top diagram is an ODE model for the growth rate that depends on a constant growth rate.

The bottom diagram is an ODE model for the growth rate of the cell volume incorporating the Hill function.


Simulations

SIMULATION OF BACTERIAL GROWTH IN VOLUME WHEN THE INTERNAL CONCENTRATION IS A GIVEN FUNCTION f(t)

Discuss our results

Dry lab hub

Growth Curve

Genetic Circuit

Motility

Appendices


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