Difference between revisions of "Team:ETH Zurich/Modeling/AHL Module"
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<h2>Reactions</h2> | <h2>Reactions</h2> | ||
\usepackage{amsmath} | \usepackage{amsmath} | ||
| + | \usepackage{mhchem} | ||
\begin{align*} | \begin{align*} | ||
\varnothing&\mathop{\xrightarrow{\hspace{4em}}}^{a_{\mathrm{LuxR}}} \text{LuxR}\\ | \varnothing&\mathop{\xrightarrow{\hspace{4em}}}^{a_{\mathrm{LuxR}}} \text{LuxR}\\ | ||
Revision as of 10:15, 14 August 2015
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AHL Module
Introduction
Chemical species
| Name | Description |
|---|---|
| AHL | Signaling protein, Acyl homoserine lactone (30C6-HSL) |
| LuxR | Regulator protein, that can bind to AHL to form a complex |
| LuxRAHL | Complex of LuxR and AHL, activates transcription of LuxI |
| LuxI | Autoinducer synthase |
| Aiia | AHL-lactonase, N-Acyl Homoserine Lactone Lactonase |
Reactions
\usepackage{amsmath} \usepackage{mhchem} \begin{align*} \varnothing&\mathop{\xrightarrow{\hspace{4em}}}^{a_{\mathrm{LuxR}}} \text{LuxR}\\ \text{AHL} + \text{LuxR} &\xrightleftharpoons[k_{\mathrm{-LuxRAHL}}]{k_{\mathrm{LuxRAHL}}} \text{LuxRAHL}\\ &\mathop{\xrightarrow{\hspace{4em}}}^{\displaystyle\mathop{\downarrow}^{\text{LuxRAHL}}} \text{LuxI}\\ \text{LuxI}&\mathop{\xrightarrow{\hspace{4em}}}^{a_{\mathrm{AHL}}}\text{AHL}+\text{LuxI}\\ \text{LuxR}&\mathop{\xrightarrow{\hspace{4em}}}^{d_{\mathrm{LuxR}}}\varnothing\\ \text{AHL}&\mathop{\xrightarrow{\hspace{4em}}}^{d_{\mathrm{AHL}}}\varnothing\\ \text{LuxRAHL}&\mathop{\xrightarrow{\hspace{4em}}}^{d_{\mathrm{LuxRAHL}}}\varnothing\\ \text{LuxI}&\mathop{\xrightarrow{\hspace{4em}}}^{d_{\mathrm{LuxI}}}\varnothing\\ \text{Aiia}+\text{AHL}&\mathop{\xrightarrow{\hspace{4em}}}^{K_{\mathrm{M}},v_{\mathrm{Aiia}}}\text{Aiia}\\ \end{align*}Equations
The equations are based on mass action kinetics and basic rate laws such as Hill equation.