diff --git a/wiki/pages/model.html b/wiki/pages/model.html index af0e993d0289711ab064ec56fc6a1df669087d85..7d45fd036b10079b5f22249e7d2e9d67395b6565 100644 --- a/wiki/pages/model.html +++ b/wiki/pages/model.html @@ -216,7 +216,7 @@ <p>Concerned with the metabolic stress of the genetic pathways we integrated into the genome of our engineered <em>E. coli Nissle 1917</em> (EcN), we want to analyze whether this leads to reduced fitness in our engineered EcN so it may be outnumbered and outcompeted by existing gut microbiota. We also find estimating and simulating metabolic stress on expression systems commonplace across research projects, so our modeling process may provide insights for other iGEM projects.</p> <h3 class="atx" id="assumptions-and-parameters-1">Assumptions and Parameters</h3> <p>Throughout the modeling process, we've unified the units of concentration, time, and EcN population as <span class="katex"><span class="katex-mathml"></span><span aria-hidden="true" class="katex-html"><span class="base"><span style="height:1em;vertical-align:-0.25em;" class="strut"></span><span class="mord"><span class="mord mathrm">millimoles</span></span><span class="mord">/</span><span class="mord"><span class="mord mathrm">liter</span></span></span></span></span>, hours, and <span class="katex"><span class="katex-mathml"></span><span aria-hidden="true" class="katex-html"><span class="base"><span style="height:0.8333em;vertical-align:-0.15em;" class="strut"></span><span class="mord"><span class="mord"><span class="mord mathrm">OD</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span style="height:0.3011em;" class="vlist"><span style="top:-2.55em;margin-right:0.05em;"><span style="height:2.7em;" class="pstrut"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">600</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span style="height:0.15em;" class="vlist"><span></span></span></span></span></span></span></span></span></span> respectively. Hence, we will refer to the following parameters:</p> - <table> + <table class="table table-hover" style="text-align: center"> <thead> <tr> <th><strong>Name</strong></th> @@ -425,7 +425,7 @@ <p>As our goal is to design a probiotic supplement that could mediate key metabolites in the gut environment in the long run, determining the optimum drug dosage and dosage regimen to optimize therapeutic benefit and its half-life is essential. We implemented the design of classical dose-response modeling to retain a balanced effective <em>E. coli Nissle 1917</em> (EcN) population above 90% of its maximum population with data from fluorescence kinetics experiments and literature reviews. We predict the optimum dosage regimen with <span class="katex"><span class="katex-mathml"></span><span aria-hidden="true" class="katex-html"><span class="base"><span style="height:0.6833em;" class="strut"></span><span style="margin-right:0.13889em;" class="mord mathnormal">T</span></span></span></span> days between each dosage and the corresponding maximum EcN population, <span class="katex"><span class="katex-mathml"></span><span aria-hidden="true" class="katex-html"><span class="base"><span style="height:0.8333em;vertical-align:-0.15em;" class="strut"></span><span class="mord"><span style="margin-right:0.13889em;" class="mord mathnormal">P</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span style="height:0.1514em;" class="vlist"><span style="top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;"><span style="height:2.7em;" class="pstrut"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mop mtight"><span class="mtight">m</span><span class="mtight">a</span><span class="mtight">x</span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span style="height:0.15em;" class="vlist"><span></span></span></span></span></span></span></span></span></span>. To this end, we propose the following model based on logistic growth and population decay over time.</p> <h3 class="atx" id="assumptions-and-parameters-2">Assumptions and Parameters</h3> <p>Throughout the modeling process, we've unified the units of time and drug concentration/EcN population as hours and <span class="katex"><span class="katex-mathml"></span><span aria-hidden="true" class="katex-html"><span class="base"><span style="height:0.8333em;vertical-align:-0.15em;" class="strut"></span><span class="mord"><span class="mord"><span class="mord mathrm">OD</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span style="height:0.3011em;" class="vlist"><span style="top:-2.55em;margin-right:0.05em;"><span style="height:2.7em;" class="pstrut"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">600</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span style="height:0.15em;" class="vlist"><span></span></span></span></span></span></span></span></span></span> respectively. Hence, we will refer to the following parameters:</p> - <table> + <table class="table table-hover" style="text-align: center"> <thead> <tr> <th><strong>Name</strong></th>