Difference between revisions of "CellularMemory:Mathematical Models"

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=<center>Mathematical Models</center>=
 
=<center>Mathematical Models</center>=
  
Discuss Hill Equations for repression and for activation. (Systems Biology book)
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==The Hill Equation==
  
 
[[Image: Hillactivator.png|thumb|200px|right|'''Equation 1:''' The Hill equation for an activator.]]
 
[[Image: Hillactivator.png|thumb|200px|right|'''Equation 1:''' The Hill equation for an activator.]]
 
[[Image: Hillrepressor.png|thumb|200px|right|'''Equation 2:'''The Hill equation for a repressor.]]
 
[[Image: Hillrepressor.png|thumb|200px|right|'''Equation 2:'''The Hill equation for a repressor.]]
 
[[Image:linebreak.png]]
 
[[Image:linebreak.png]]
Show graphs to explain need for cooperativity.
 
  
Discuss what constants need to be determined experimentally and show examples of predictions based on models with experimentally determined constants.
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==Cooperativity==
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[[Image:Modelinggraphs.png|400px|right]]
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[[Image:linebreak.png]]
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==Determining the Correct Paramets==
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[[Image:Parameters.png|400px|right]]
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[[Image:linebreak.png]]
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==Quantitative Part Characterization==
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[[Image:Parts.png|400px|right]]
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[[Image:linebreak.png]]
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Revision as of 07:43, 16 November 2007

WDTop.png

Mathematical Models

The Hill Equation

Equation 1: The Hill equation for an activator.
Equation 2:The Hill equation for a repressor.

Linebreak.png


Cooperativity

Modelinggraphs.png

Linebreak.png

Determining the Correct Paramets

Parameters.png

Linebreak.png

Quantitative Part Characterization

Parts.png

Linebreak.png



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