Team:Aberdeen Scotland/Modeling/Assay

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  \frac{d[A]}{dt}=-k_a[A][a]  \\
  \frac{d[A]}{dt}=-k_a[A][a]  \\
  \frac{d[a]}{dt}=-k_a[A][a]$$
  \frac{d[a]}{dt}=-k_a[A][a]$$
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<ul>
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<li>where
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<table style="width:70%">
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<tbody>
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<tr>
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<td>A</td>
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<td>- concentration of antibody 'A'</td>
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</tr>
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<tr>
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<td>a</td>
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<td>- concentration of antigen 'a'</td>
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</tr>
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<tr>
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<td>k<sub>a</sub></td>
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<td>- affinity of antibody and antigen</td>
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</tr>
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</tbody>
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</table>
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</li>
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</ul>

Revision as of 20:53, 17 October 2014

Team:Aberdeen Scotland/Modelling - 2014.ogem.org



Assay Model


A crucial part of the assay is the antibody-to-antigen binding. In this section we try to analyse its behaviour and try to determine if the system is going to have the appropriate amount of sensitivity.

We have looked at a simple model, which can be illustrated by the following equations:

$$\frac{d[A-a]}{dt}=k_a[A][a] \\ \frac{d[A]}{dt}=-k_a[A][a] \\ \frac{d[a]}{dt}=-k_a[A][a]$$
  • where
    A - concentration of antibody 'A'
    a - concentration of antigen 'a'
    ka - affinity of antibody and antigen

References

[1]



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