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Team:Technion-Israel/Modeling
From 2014.igem.org
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<div class="title" id="HK">Why Should it Fail</div> | <div class="title" id="HK">Why Should it Fail</div> | ||
<div id="highlights" class="container"> | <div id="highlights" class="container"> | ||
| - | + | <center> | |
| + | <h1>Why Alpha System Should Work – a deterministic model of alpha system</h1> | ||
| + | <p>When modelling our system, we began with the simplest method known – deterministic rate equations. Moreover, from the design it was clear that the most important benchmark for the signal within the system would be the concentration of AHL as a function of time, so we began by modelling this part of our system. It took only a simple derivation (see [1]) to obtain these equations which characterize this part of the system:</p> | ||
| + | <div class="formula"> | ||
| + | <a class="eqnumber" name="eq-1">(1) </a><span class="fraction"><span class="ignored">(</span><span class="numerator"><i>d</i><span class="symbol">[</span><i>mRNA</i><sub><i>LuxI</i></sub><span class="symbol">]</span></span><span class="ignored">)/(</span><span class="denominator"><i>dt</i></span><span class="ignored">)</span></span> = <span class="fraction"><span class="ignored">(</span><span class="numerator"><i>v</i><sub><i>B</i></sub> + <i>v</i><sub><i>A</i></sub><i>k</i><sub><i>A</i></sub><span class="symbol">[</span><i>AHL</i><span class="symbol">]</span><sup>2</sup></span><span class="ignored">)/(</span><span class="denominator">1 + <i>k</i><sub><i>A</i></sub><span class="symbol">[</span><i>AHL</i><span class="symbol">]</span><sup>2</sup></span><span class="ignored">)</span></span> − <i>γ</i><sub><i>mRNA</i><sub><i>LuxI</i></sub></sub><span class="symbol">[</span><i>mRNA</i><sub><i>LuxI</i></sub><span class="symbol">]</span> + <i>GateI</i> | ||
| + | </div> | ||
| + | |||
| + | </center> | ||
</div> | </div> | ||
</div> | </div> | ||
Revision as of 08:07, 13 October 2014
Why Should it Work
Why Should it Fail
Why Alpha System Should Work – a deterministic model of alpha system
When modelling our system, we began with the simplest method known – deterministic rate equations. Moreover, from the design it was clear that the most important benchmark for the signal within the system would be the concentration of AHL as a function of time, so we began by modelling this part of our system. It took only a simple derivation (see [1]) to obtain these equations which characterize this part of the system:
Synthetic Biofilm Formation
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