Edinburgh/DivisionPopper/Modelling

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This pages contains the mathematical and computational models we constructed in order to analyze the behaviour of the Division PoPper System. You can find the model of two systems (the proof of concept construct or the whole construct), different views on the system (the single cell behaviour or the behaviour of the population), different approaches to modeling (ODEs, CTMC, hybrid). Look at the table of context for the section you are interested in.
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This pages contains the mathematical and computational models we constructed in order to analyze the behaviour of the Division PoPper System. You can find the model of two systems (the proof of concept construct or the whole construct), different views on the system (the single cell behaviour or the behaviour of the population), different approaches to modeling (ODEs, CTMC, hybrid). Look at the table of contests belove for the section you are interested in.
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Revision as of 15:02, 13 September 2007

MENU : Introduction | Applications | Design | Modelling | Status | References


This pages contains the mathematical and computational models we constructed in order to analyze the behaviour of the Division PoPper System. You can find the model of two systems (the proof of concept construct or the whole construct), different views on the system (the single cell behaviour or the behaviour of the population), different approaches to modeling (ODEs, CTMC, hybrid). Look at the table of contests belove for the section you are interested in.

Contents


The proof of concept system

As explained in the design section, the first part of our project consists in the realization of a proof of concept system. This is a smaller and less complex construct that we use to test our main assumption: the DNA region in between the two Dif sites is "flipped" (reversed) at each cell division.

Modelling a single cell

ODEs (deterministic and continuous)

CTMC (stochastic and discrete)

Results

Modelling a population

Hybrid (stochastic/deterministic and discrete)

Results

The Division PoPper system

Modelling a single cell

ODEs (deterministic and continuous)

Results