Team:NYU Abu Dhabi/Model
Mathematical Modeling
The following species were used
Species Name |
Symbol Used |
|---|---|
Recombinase |
\(R\) |
Primer |
\(Pr\) |
DNA |
\(D\) |
DNA Polymerase |
\(P\) |
Single Strand Binding Protein (SSB) |
\(S\) |
A specific binding of recombinase to a primer to form a closed complex |
\(R:Pr\) |
A specific binding of recombinase and primer to the DNA to form a closed complex |
\(R:Pr:D\) |
A specific binding of recombinase, primer, SSB protein to the DNA to form a closed complex |
\(R:Pr:D:S\) |
A specific binding of recombinase, primer, SSB protein, DNA Polymerase to the DNA to form a closed complex |
\(R:Pr:D:S:P\) |
A specific binding of primer, SSB protein, DNA Polymerase to the DNA to form a closed complex |
\(Pr:D:S:P\) |
$$ 1. R + Pr \leftrightharpoons R:Pr $$ $$ 2. R:Pr + D \leftrightharpoons R:Pr:D $$ $$ 3. R:Pr:D + S \leftrightharpoons R:Pr:D:S $$ $$ 4. R:Pr:D:S + P \leftrightharpoons R:Pr:D:S:P $$ $$ 5. R:Pr:D:S:P \leftrightharpoons R + Pr:D:S:P $$ $$ 6. Pr:D:S:P \to 2D + S + P + Pr + D $$ $$ /frac{d[R]}{dt} = -R/cdot Pr/cdot k_1f + K_1r /cdot R:Pr + k_5f /cdot R:Pr:D:S:P - k_5r /cdot R/cdot Pr:D:S:P $$