Team:Warsaw/Modelling/Invasiveness

From 2009.igem.org

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<p>The endocytosis of bacteria by mammalian cells is analogous process to endocytosis of chemical substances that bind the receptors on the mammalian cell surface.  Therefore kinetic equation that describes endocytosis can be applied to the problem (Douglas A.Lauffenburger Jennifer J. Linderman, Receptors):
<p>The endocytosis of bacteria by mammalian cells is analogous process to endocytosis of chemical substances that bind the receptors on the mammalian cell surface.  Therefore kinetic equation that describes endocytosis can be applied to the problem (Douglas A.Lauffenburger Jennifer J. Linderman, Receptors):
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dRs/dt=-kfLRs+krCs-kerRs+krec(1-fr)Rti+Vs
 
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dRti/dt=kerRs+kecCs-[krec(1-fr)+kdegfr]Rti
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<img src="https://static.igem.org/mediawiki/2009/9/96/Inwazyjnosc.jpg"></igem>
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dCs/dt=kfLRs-krCs-kecCcs
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dLi/dt=kecCs-[krec(1-fl)+kdegfl]Li
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Rs - number of the free receptors on the cell surfsce
Rs - number of the free receptors on the cell surfsce

Revision as of 03:49, 22 October 2009

The endocytosis of bacteria by mammalian cells is analogous process to endocytosis of chemical substances that bind the receptors on the mammalian cell surface. Therefore kinetic equation that describes endocytosis can be applied to the problem (Douglas A.Lauffenburger Jennifer J. Linderman, Receptors):


<img src="Inwazyjnosc.jpg"></igem>
Rs - number of the free receptors on the cell surfsce Cs – number of receptor ligand complexses on the cell surface Rti – Total number of free and bound receptors In the endosome Li - the amount of intracellular ligand per cell fr – endocytosed receptors fl – endocytosed ligands L - ligand concentration In the medium Vs - rate of the New receptor synthesis and expression on the cell surface

In case of endocytosis of bacteria by mammalian cells the ligand refers to a bacterial cell and fluid phase uptake ( kfpNavL-not included in the equation) is not relevant