Team:ETHZ Basel/Modeling

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(Mathematical Modeling Overview)
 
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= Molecular Modeling Overview =
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= Mathematical Modeling Overview =
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In order to support [[Team:ETHZ_Basel/Biology|wet laboratory experiments]] and to create a test bench for the [[Team:ETHZ_Basel/InformationProcessing|information processing]] part, a molecular model of E. lemming was created. This goal was achieved by implementing and combining deterministic molecular models of the individual parts.
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[[Image:ETHZ_Basel_molecular_comb.png|thumb|400px|'''Figure 1: schematical overview of the modeled processes in E. lemming.''' LSP refers to light switch protein, AP to anchor protein, and Che to the attacked protein of the chemotaxis pathway.]]
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== Implementation of molecular models ==
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A complex mathematical model of E. lemming from both literature inspired and self developed submodels was created that covers the processes displayed in Figure 1.
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[[Image:Modeling_overview_molecular.png|thumb|400px|'''Schematical overview of the devices and change upon light pulse induction.''' LSP? refers to light switch protein, AP to anchor protein, anchor to the plasmid anchor and Che? to the attacked protein of the chemotaxis pathway.]]
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The core component of E. lemming is the fusion of one light-sensitive protein (LSP?) to a protein of the chemotaxis pathway (Che?). Upon change of wavelength of light pulses, this component will dimerize with the corresponding light-sensitive protein (LSP?'), which is linked to an anchor protein, bound to an anchor (plasmid). The result is a change of the spatial localization of Che? and perturbation of the chemotaxis pathway, which ultimately leads to a different tumbling/directed flagellar movement state ratio.
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In a first step, existing models for the individual processes of E. lemming have been identified by literature research, implemented, corrected and adapted to our needs. Where we could not rely on established models, we started modeling on our own and calibrated the model with regard to available literature knowledge.
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=== Individual molecular models ===
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* [[Team:ETHZ_Basel/Modeling/Light_Switch|'''Light Switch''']]: both implementation approaches have been modeled:
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In a first step, we implemented individual deterministic molecular models of subdevices.
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** [[Team:ETHZ_Basel/Modeling/Light_Switch#Modeling_of_the_light_switch:_PhyB.2FPIF3|'''PhyB/PIF3''']]: a deterministic molecular model based on the light-sensitive dimerizing Arabidopsis proteins PhyB and PIF3.
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* [[Team:ETHZ_Basel/Modeling/Light_switch|'''Light switch''']]: based upon the light-sensitive dimerizing Arabidopsis proteins PhyB and PIF3.
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** [[Team:ETHZ_Basel/Modeling/Light_Switch#Modeling_of_the_PhyB.2FPIF3_light_switch#Archeal_light_receptor|'''Archeal Light Receptor''']]: a deterministic molecular model based on the archeal light receptor.
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* [[Team:ETHZ_Basel/Modeling/Chemotaxis|'''Chemotaxis''']]: two similar models of the chemotaxis receptor pathway.
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* [[Team:ETHZ_Basel/Modeling/Chemotaxis|'''Chemotaxis Pathway''']]: two deterministic molecular models of the chemotaxis pathway.
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* [[Team:ETHZ_Basel/Modeling/Movement|'''Movement''']]: a statistical model of E. coli movement, determined by distribution of input bias.
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* [[Team:ETHZ_Basel/Modeling/Movement|'''Bacterial Movement''']]: a self developed stochastic model of ''E. coli'' movement on basis of the CheYp bias.
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=== Combined molecular models ===
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In a second part, we combined the submodels stepwise to more comprehensive models that we could use to address different important questions to:
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[[Image:Modeling_overview.png|thumb|400px|'''Combined models.''' Coupled individual models for the simulation of the whole process and their interfaces.]]
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* [[Team:ETHZ_Basel/Modeling/Combined#PhyB.2FPIF3_light_switch_-_Chemotaxis |'''PhyB/PIF3 light switch - Chemotaxis''']]: this model was used to reduce [[Team:ETHZ_Basel/Biology|wet laboratory experiments]] by identification molecular targets by [[Team:ETHZ_Basel/Modeling/Experimental_Design|experimental design]].
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* [[Team:ETHZ_Basel/Modeling/Combined#Archeal_light_receptor_-_Chemotaxis |'''Archeal light receptor - Chemotaxis''']]: this model was combined identically to the one above.
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The next step, combination of the individual molecular models to a comprehensive model of E. lemming was achieved in two substeps:
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* [[Team:ETHZ_Basel/Modeling/Combined#Chemotaxis_-_Movement |'''Chemotaxis - Movement''']]: complete model of E. lemming as a simulative test bench for the [[Team:ETHZ_Basel/InformationProcessing/Controller|controller]] design and as a brick of the comprehensive simulation of [[Team:ETHZ_Basel/InformationProcessing|information processing]].
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* [[Team:ETHZ_Basel/Modeling/Light_switch|'''Light switch - Chemotaxis''']]: used to provide support for wet laboratory.
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* [[Team:ETHZ_Basel/Modeling/Light_switch|'''Light switch - Chemotaxis - Movement''']]: complete molecular model.
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== Support for wet laboratory ==
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== Test bench for information processing ==
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Latest revision as of 19:09, 27 October 2010

Mathematical Modeling Overview

Figure 1: schematical overview of the modeled processes in E. lemming. LSP refers to light switch protein, AP to anchor protein, and Che to the attacked protein of the chemotaxis pathway.

A complex mathematical model of E. lemming from both literature inspired and self developed submodels was created that covers the processes displayed in Figure 1.

In a first step, existing models for the individual processes of E. lemming have been identified by literature research, implemented, corrected and adapted to our needs. Where we could not rely on established models, we started modeling on our own and calibrated the model with regard to available literature knowledge.

  • Light Switch: both implementation approaches have been modeled:
    • PhyB/PIF3: a deterministic molecular model based on the light-sensitive dimerizing Arabidopsis proteins PhyB and PIF3.
    • Archeal Light Receptor: a deterministic molecular model based on the archeal light receptor.
  • Chemotaxis Pathway: two deterministic molecular models of the chemotaxis pathway.
  • Bacterial Movement: a self developed stochastic model of E. coli movement on basis of the CheYp bias.

In a second part, we combined the submodels stepwise to more comprehensive models that we could use to address different important questions to: