Team:Wageningen UR/Project/ModelingProj1

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=== Mathematical model of the construct ===
=== Mathematical model of the construct ===
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Since our bio bricked oscillatory system is based on the design published by Danino et al. in the paper [http://www.nature.com/nature/journal/v463/n7279/abs/nature08753.html “A synchronized quorum of genetic clocks”], our first model of the system is a reproduction of the mathematical model in the supplementary information for this publication. In their simulations, Danino et al. used the following set of delay differential equations, which we used as base for our simulation tool written in matlab. }}
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Since our bio bricked oscillatory system is based on the design published by Danino et al. in the paper [http://www.nature.com/nature/journal/v463/n7279/abs/nature08753.html “A synchronized quorum of genetic clocks”], our first model of the system is a reproduction of the mathematical model in the supplementary information accompanying the publication mentioned. In their simulations, Danino et al. used the following set of delay differential equations, which we used as base for our simulation tool written in matlab. }}
[[File:Equations_hasty_WUR.png|370px|center]]
[[File:Equations_hasty_WUR.png|370px|center]]
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{{:Team:Wageningen_UR/Templates/Style | text= __NOTOC__
{{:Team:Wageningen_UR/Templates/Style | text= __NOTOC__
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'''Above:''' Set of delay differential equations used by Danino et al. to model the oscillatory behaviour of the design using a positive and negative feedback loop.
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Revision as of 17:41, 11 September 2011

Building a Synchronized Oscillatory System

Modeling synchronized oscillations

Mathematical model of the construct

Since our bio bricked oscillatory system is based on the design published by Danino et al. in the paper [http://www.nature.com/nature/journal/v463/n7279/abs/nature08753.html “A synchronized quorum of genetic clocks”], our first model of the system is a reproduction of the mathematical model in the supplementary information accompanying the publication mentioned. In their simulations, Danino et al. used the following set of delay differential equations, which we used as base for our simulation tool written in matlab.

Equations hasty WUR.png

Above: Set of delay differential equations used by Danino et al. to model the oscillatory behaviour of the design using a positive and negative feedback loop.

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