Difference between revisions of "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	\(Pr:D:S:P\)

$$ 1. R + Pr \leftrightharpoons R:Pr $$ $$ 2. R:Pr + D \leftrightharpoons R:Pr:D $$ $$ 3. R:Pr:D + S \leftrightharpoons R:Pr:D:S $$ $$ 4. R:Pr:D:S + P \leftrightharpoons R:Pr:D:S:P $$ $$ 5. R:Pr:D:S:P \leftrightharpoons R + Pr:D:S:P $$ $$ 6. Pr:D:S:P \to 2D + S + P + Pr + D $$ $$ /frac{d[R]}{dt} = -R/cdot Pr/cdot k_1f + K_1r /cdot R:Pr + k_5f /cdot R:Pr:D:S:P - k_5r /cdot R/cdot Pr:D:S:P $$