Team:Michigan/Modeling

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===Model of Inducible Hbif===
===Model of Inducible Hbif===
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The Inducible Hbif model describes how the switch flips when acted upon by the Lux/HSL-controlled expression of Hbif. In this model, [HSL] represents the concentration of the species HSL:pLux:LuxR, the complex that promotes the expression of Hbif. In this model [HSL] is a function of pLux and LuxR expression levels in the cell, the amount of HSL added, and the fractional occupancies at the complexation equilibrium. It can be assumed that this complexation reaction happens instantaneously with respect to the slow, rate-limiting translation step of Hbif.
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The Inducible Hbif Model describes how the switch flips when acted upon by the Lux/HSL-controlled expression of Hbif. In this model, [HSL] represents the concentration of the species HSL:pLux:LuxR, the complex that promotes the expression of Hbif. In this model [HSL] is a function of pLux and LuxR expression levels in the cell, the amount of HSL added, and the fractional occupancies at the complexation equilibrium. It can be assumed that this complexation reaction happens instantaneously with respect to the slow, rate-limiting translation step of Hbif.
=Expression Model=
=Expression Model=

Revision as of 00:49, 28 September 2013

Xayona Website Template

Best model.jpg

Contents

Introduction

Switch modeling

• produce both states of switch

• use model to optimize switch

Mass action modeling

Definition

• differential equations

• each equation is a sum of rates

• each rate is proportional to each of its reactants

Benefits of mass action modeling, i.e. why we used it

• form of mass action models/solvability doc

Analytical modeling

• benefits 

   • naturally standardized
   
   • given parameters, it precisely predicts behavior

   • accurately predicts the data needed to determine parameters

   • allows avoidance of numerical errors like rounding

• ERSESCO 

   • equation

   • reduction

   • solution

   • equilibration

   • stabilization

   • calibration

   • optimization

SimBiology

• numerical approximation

• diagram / schematic

Model of Recombinase Expression

Model of the Switch

Model of Inducible Hbif

The Inducible Hbif Model describes how the switch flips when acted upon by the Lux/HSL-controlled expression of Hbif. In this model, [HSL] represents the concentration of the species HSL:pLux:LuxR, the complex that promotes the expression of Hbif. In this model [HSL] is a function of pLux and LuxR expression levels in the cell, the amount of HSL added, and the fractional occupancies at the complexation equilibrium. It can be assumed that this complexation reaction happens instantaneously with respect to the slow, rate-limiting translation step of Hbif.

Expression Model

ExpressionModelFigure.png

Equation:

ExpressionModel1.png

Reduction: None

Solution:

ExpressionModel2.png

Equilibration:

ExpressionModel3.png

Stabilization:

ExpressionModel3-1.png

Calibration:

ExpressionModel4.png
ExpressionModel5.png

Optimization:

ExpressionModel6.png

SimBiology:

Expression.jpg

Expression Model Derivation

Switch Model

SwitchModelFigure.png

Equation:

SwitchModel1.png
SwitchModel2.png

Reduction:

SwitchModel3.png

Solution:

SwitchModel3-1.png

Equilibration:

SwitchModel4-1.png

Stabilization:

SwitchModel4-2.png

Calibration:

SwitchModel5-1.png
SwitchModel5-2.png

Optimization:

SwitchModel6.png

SimBiology:

Switch.jpg

Switch Model Derivation

Inducible Hbif Model

InducibleHbifModelFigure.png

Equation:

InducibleHbifModel1.png
InducibleHbifModel2.png

Reduction:

InducibleHbifModel3.png

Solution:

InducibleHbifModel4.png

Equilibration:

InducibleHbifModel5.png

Stabilization:

InducibleHbifModel5-2.png

Calibration:

InducibleHbifModel6-1.png
InducibleHbifModel6-2.png
InducibleHbifModel6-3.png

Optimization of Hbif:

InducibleHbifModel7-1.png

Optimization of ON:

InducibleHbifModel7-2.png

SimBiology:

InducedHbif.jpg

Inducible Hbif Model Derivation

Future Directions

Data!

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