Team:Freiburg Bioware/Modelling

From 2010.igem.org

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For the first two models we assumed reactions according to the law of mass action to create a model of ordinary differential equations (ODE).
For the first two models we assumed reactions according to the law of mass action to create a model of ordinary differential equations (ODE).
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<h2>Model for Virus Production</h2>
<h2>Model for Virus Production</h2>
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<h3>Reaction Scheme</h3>
<h3>Reaction Scheme</h3>
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For the reaction scheme of the virus production we considered three compartments of the cell: the <b>extracellular space</b> (all quantities with the index <i>ext</i>), the <b>cytoplasm</b> (<i>cyt</i>) and th e<b>nucleus</b> (<i>nuc</i>). On the outside of the cell there are four principle plasmids - the plasmid coding for the <b>helper proteins</b> (<i>helper</i>), the <b>gene of interest</b> (<i>goi</i>) and two types of DNA coding for the <b>capsid proteins</b> (<i>capwt</i> [wild type], <i>capmod</i> [modified]).<br>
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For the reaction scheme of the virus production we considered three compartments of the cell: the <b>extracellular space</b> (all quantities with the index <i>ext</i>), the <b>cytoplasm</b> (<i>cyt</i>) and the <b>nucleus</b> (<i>nuc</i>). On the outside of the cell there are four principle plasmids - the plasmid coding for the <b>helper proteins</b> (<i>helper</i>), the <b>gene of interest</b> (<i>goi</i>) and two types of plasmids coding for the <b>capsid proteins</b> (<i>capwt</i> [wild type], <i>capmod</i> [modified]).<br>
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The plasmids are transported over the cell membrane to the cytoplasm and finally into the nucleus where gene expression is initiated.<br>
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Revision as of 15:52, 21 October 2010

Modeling

For the modeling part we considered the three main parts:
  • the virus production
  • the infection of a target cell
  • the therapy
For the first two models we assumed reactions according to the law of mass action to create a model of ordinary differential equations (ODE).

Model for Virus Production


Reaction Scheme

For the reaction scheme of the virus production we considered three compartments of the cell: the extracellular space (all quantities with the index ext), the cytoplasm (cyt) and the nucleus (nuc). On the outside of the cell there are four principle plasmids - the plasmid coding for the helper proteins (helper), the gene of interest (goi) and two types of plasmids coding for the capsid proteins (capwt [wild type], capmod [modified]).
The plasmids are transported over the cell membrane to the cytoplasm and finally into the nucleus where gene expression is initiated.
Reaction scheme for the virus production


Reduced Reaction Scheme

reduced reaction scheme for the virus production


Differential Equations

Reaction scheme for the virus production


Model for Virus Infection



Reaction Scheme

Reaction scheme for the virus production


Reduced Reaction Scheme

Reaction scheme for the virus production


Reaction scheme for the virus production


Differential Equations

Reaction scheme for the virus production


Reaction scheme for the virus production