Part:BBa_J102005:Experience

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Modelling of BBa_J102005

All modelling was done by Professor Eldon Emberly of Simon Fraser University

The bio-capacitor was modelled using chemical kinetic equations. These are shown in the table below.

Assumptions:

-TetR is assumed to be directly proportional to ATc.

-The activation of LuxR by AHL is assumed to be fast and at equilibrium.

-LuxR is translated from both the single- and double-stranded mRNA, while GFP is only translated from the single-stranded mRNA.

Linear Input

Constant Response

The graph on the left demonstrates linearly-increasing TetR in the cell. The graph on the right is the output of the circuit associated with each of these. This is relatively constant in both cases. For example, the red input on the left corresponds to the red output on the right.

Quadratic Input

Linear Response

When TetR, the input signal, is quadratic, GFP exhibits a linear response. GFP is inversely proportional to the square of the concentration of TetR.

GFP Adaptation and Edge-Detection

This graph shows how GFP returns to basal levels once TetR reaches a new steady-state level in the cell. The circuit acts as an edge-detection system, responding to changing input levels.

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