Difference between revisions of "Team:Vilnius-Lithuania/Model"

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                <div class="h2 larger">Overview</div>
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<div class="h3">Introduction</div>
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                <div class="h3">Kill Switch Model</div>
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<p class="content-paragraph">Consider a permeable strip with length X greater than width Y. On one end of the strip we have a sample pad onto which we drop analytes A that are the oligos we want to test. Beneath the sample pad is the conjugate pad that holds gold nanoparticles P. Analytes and nanoparticles diffuse and react to form a complex C. We also assume that this end of the strip is dipped into a volume (or "bath") of water that starts permeating into the strip with flow velocity $V(t)$. Somewhere along the strip at points $L \leq x \leq U$ is a test line with fixed probes R that are specific to the oligo sequence we want to test. Probes R react with the complex C to form the signal S.</p>
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<div class="h4">The Goal</div>
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                <div class="h3">Strip Test Model</div>
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The goal is to provide a mathematical basis for a fast and open-source app that helps in the design of a lateral flow assay test.
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\begin{align}
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                    <source src="https://static.igem.org/mediawiki/2020/b/b5/T--Vilnius-Lithuania--50-200uL.mp4" type="video/mp4">
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\begin{split}
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\ce{A +  P <=>[\ce{k_1}][\ce{k_{-1}}] C}, \\ \\
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\ce{C +  R <=>[\ce{k_2}][\ce{k_{-2}}] S}.
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                <p class="content-paragraph">This video shows, that 200uL is very bad. You can see leaking. We decided not to use it.</p>
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                    <source src="https://static.igem.org/mediawiki/2020/1/1c/T--Vilnius-Lithuania--50-150uL.mp4" type="video/mp4">
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<div class="h3">Advection-diffusion-reaction model of the lateral flow assay</div>
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                <p class="content-paragraph">This video shows, 50uL is not enough. You can see the lines appear on all other test strips.</p>
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<p class="content-paragraph">Corresponding to the description we form the model:</p>
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                <p class="content-paragraph">This is our first experiment to find out concentrations</p>
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                <p class="content-paragraph">This is our second experiment to validate our theory.</p>
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                <p class="content-paragraph">Finally, this completely verifies what the theory gave us.</p>
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Revision as of 12:31, 27 October 2020

Introduction

Consider a permeable strip with length X greater than width Y. On one end of the strip we have a sample pad onto which we drop analytes A that are the oligos we want to test. Beneath the sample pad is the conjugate pad that holds gold nanoparticles P. Analytes and nanoparticles diffuse and react to form a complex C. We also assume that this end of the strip is dipped into a volume (or "bath") of water that starts permeating into the strip with flow velocity $V(t)$. Somewhere along the strip at points $L \leq x \leq U$ is a test line with fixed probes R that are specific to the oligo sequence we want to test. Probes R react with the complex C to form the signal S.

The Goal

The goal is to provide a mathematical basis for a fast and open-source app that helps in the design of a lateral flow assay test. \begin{align} \begin{split} \ce{A + P <=>[\ce{k_1}][\ce{k_{-1}}] C}, \\ \\ \ce{C + R <=>[\ce{k_2}][\ce{k_{-2}}] S}. \end{split} \end{align}

Advection-diffusion-reaction model of the lateral flow assay

Corresponding to the description we form the model: