Difference between revisions of "Team:KU Leuven/Modeling"

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                                     <p>The hybrid model represents an intermediate level of detail in between the colony level model and the internal model. Bacteria are treated as individual agents that behave according to the Keller-Segel type discretized stochastic differential equations, while chemical species are modeled using partial differential equations. </p>
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                                    interactions of our pattern forming cells. </p>
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Revision as of 17:33, 18 September 2015

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Modeling

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The fascinating properties of pattern creating bacteria may be translated into the language of mathematics. In this subsection we are investigating the equations behind the behaviour of the genetically modified organisms created in the wetlab. We do so using a layered approach. Colony level modeling employs partial differential equations to describe large cell groups which are treated as a continuum. Internal level models describe the interactions that happen within single cells. Finally the hybrid model merges the two approaches into a final description of our pattern forming cells.





Colony

Our colony layer model relies on a Keller-Segel type system of partial differential equations. These equations are simulated using finite differences.

Hybrid

The hybrid model represents an intermediate level of detail in between the colony level model and the internal model. Bacteria are treated as individual agents that behave according to the Keller-Segel type discretized stochastic differential equations, while chemical species are modeled using partial differential equations.

Internal

Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations.

FBA (Toulouse)

As a part of our modeling cooperation we exchanged models with the Toulouse team. This is the flux balance analysis they performed for us.
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Colony

Our colony layer model relies on a Keller-Segel type system of differential equations. These equations are simulated using finite differences.

Hybrid

Our hybrid model merges both colony and internal level to define the cell-cell interactions of our pattern forming cells.

Internal

Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations.

FBA (Toulouse)

As a part of our modeling cooperation we exchanged models with the Toulouse team. This is the flux balance analysis they performed for us.

Contact

Address: Celestijnenlaan 200G room 00.08 - 3001 Heverlee
Telephone: +32(0)16 32 73 19
Email: igem@chem.kuleuven.be