Team:Brown/Modeling/Parameters

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(Parameters)
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==Parameters==
==Parameters==
As our circuit is relatively complex, we have many factors and thus many parameters with which to describe the function of these factors mathematically.  
As our circuit is relatively complex, we have many factors and thus many parameters with which to describe the function of these factors mathematically.  
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These parameters are as follows:
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These parameters are as follows:
#δ is a function designed to represent the presence/absence of light in a Boolean fashion. δ=0 without light and 1 with light.
#δ is a function designed to represent the presence/absence of light in a Boolean fashion. δ=0 without light and 1 with light.
#c_1 represents the rate of conformational change from LovTAP to LovTAP* when irradiated with 470nm light.
#c_1 represents the rate of conformational change from LovTAP to LovTAP* when irradiated with 470nm light.
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#c_2 represents the rate of SupD + T7ptag T7 polymerase
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#c_2 represents the rate of SupD + T7ptag --> T7 polymerase
#α represents the maximum protein synthesis rate in nanomoles/min.
#α represents the maximum protein synthesis rate in nanomoles/min.
#β represents the basal synthesis rate. We assume ∀x β_x= .01α_x
#β represents the basal synthesis rate. We assume ∀x β_x= .01α_x

Revision as of 01:34, 25 October 2010

Parameters

As our circuit is relatively complex, we have many factors and thus many parameters with which to describe the function of these factors mathematically.

These parameters are as follows: #δ is a function designed to represent the presence/absence of light in a Boolean fashion. δ=0 without light and 1 with light. #c_1 represents the rate of conformational change from LovTAP to LovTAP* when irradiated with 470nm light. #c_2 represents the rate of SupD + T7ptag --> T7 polymerase #α represents the maximum protein synthesis rate in nanomoles/min. #β represents the basal synthesis rate. We assume ∀x β_x= .01α_x #μ represents the protein degradation rate. #n represents a ligand’s hill coefficient. #K_m represents the ligand’s dissociation constant

For a complete list of values and sensitivities, please see attached spreadsheet .