Difference between revisions of "Deterministic vs. Stochastic Models"

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=The Two Equations Used to Model Gene Expression=
 
=The Two Equations Used to Model Gene Expression=
 
<b>Determinisic</b> <br>
 
<b>Determinisic</b> <br>
A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably, more specifically a single input will consitently produce the same output.
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A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably, more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue line represents the deterministic model and the red line represents the stochastic model.
 
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<br>
 
 
 
[[Image:Protein_level_effects_(vs_determinisitic_equations).png| 500 px]]
 
[[Image:Protein_level_effects_(vs_determinisitic_equations).png| 500 px]]
 
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<br>
<b>Stochastic</b> <br>
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<b>Stochastic</b>  
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<br>
 
Stochastic models take into account the "randomness" of transcription and translation by utilizing variables for the formation and decay of single molecules and multi-component complexes.  
 
Stochastic models take into account the "randomness" of transcription and translation by utilizing variables for the formation and decay of single molecules and multi-component complexes.  
 
Example (2)  
 
Example (2)  
 
[[elowitz]]
 
[[elowitz]]

Revision as of 01:35, 13 November 2007

The Two Equations Used to Model Gene Expression

Determinisic
A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably, more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue line represents the deterministic model and the red line represents the stochastic model.
Protein level effects (vs determinisitic equations).png
Stochastic
Stochastic models take into account the "randomness" of transcription and translation by utilizing variables for the formation and decay of single molecules and multi-component complexes. Example (2) elowitz