From: Hypothetical biomolecular probe based on a genetic switch with tunable symmetry and stability
Type of reaction | lacI (with Ptet) | tetR (with Plac) |
---|---|---|
Repressor binding | \(\text {TetR}_{2} + \mathrm {D}_{l} \underset {q_{t3}}{\overset {k_{t3}}{\rightleftharpoons }} \mathrm {d}_{1}\text {TetR}_{2}\) | \(\text {LacI}_{4} + \mathrm {D}_{t} \underset {q_{l3}}{\overset {k_{l3}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}_{4}\) |
 | \(\mathrm {d}_{1}\text {TetR}_{2} + \mathrm {D}_{l} \underset {q_{t3}}{\overset {k_{t3}}{\rightleftharpoons }} \mathrm {d}_{2}\text {TetR}_{2}\) | \(\text {LacI}_{4i} + \mathrm {D}_{t} \underset {q_{l3}}{\overset {0.5k_{l3}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}_{4i}\) |
 | \(\mathrm {d}_{1}\text {TetR}_{2} + \mathrm {I}_{t} {\overset {k_{t2}}{\rightarrow }} \text {TetR}_{2i} + \mathrm {D}_{l}\) | \(\mathrm {d}_{1}\text {LacI}_{4} \underset {q_{l4}}{\overset {200k_{l3}}{\rightleftharpoons }} \mathrm {d}_{2}\text {LacI}_{4}\) |
 | \(\mathrm {d}_{2}\text {TetR}_{2} + \mathrm {I}_{t} {\overset {k_{t2}}{\rightarrow }} \text {TetR}_{2i} + \mathrm {d}_{1}\text {TetR}_{2}\) | \(\mathrm {d}_{1}\text {LacI}_{4i} + \mathrm {I}_{l} {\overset {k_{l5}}{\rightarrow }} \text {LacI}_{4ii} + \mathrm {D}_{t}\) |
 |  | \(\mathrm {d}_{1}\text {LacI}_{4} + \mathrm {I}_{l}{\overset {0.5k_{l5}}{\rightarrow }} \text {LacI}_{4i} + \mathrm {D}_{t}\) |
 |  | \(\mathrm {d}_{1}\text {LacI}_{4} + \mathrm {I}_{l}\underset {q_{l5}}{\overset {0.5k_{l5}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}_{4i}\) |
 |  | \(\mathrm {d}_{2}\text {LacI}_{4} + \mathrm {I}_{l}\underset {q_{l5}}{\overset {k_{l5}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}_{4i}\) |
RNAp binding | \(\mathrm {D}_{l} + \mathrm {R} \underset {q_{b}}{\overset {k_{b1}}{\rightleftharpoons }} \mathrm {D}^{\mathrm {R}}_{l}\) | \(\mathrm {D}_{t} + \mathrm {R} \underset {q_{b}}{\overset {k_{b1}}{\rightleftharpoons }} \mathrm {D}^{\mathrm {R}}_{t}\) |
 | \(\mathrm {d}_{1}\text {LacI}_{4} + \mathrm {R} \underset {q_{b}}{\overset {k_{lb2}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}^{\mathrm {R}}_{4}\) | \(\mathrm {d}_{1}\text {TetR}_{2} + \mathrm {R} \underset {q_{b}}{\overset {k_{tb2}}{\rightleftharpoons }} \mathrm {d}_{2}\text {TetR}^{\mathrm {R}}_{2}\) |
 | \(\mathrm {d}_{2}\text {LacI}_{4} + \mathrm {R} \underset {q_{b}}{\overset {k_{lb3}}{\rightleftharpoons }} \mathrm {d}_{2}\text {LacI}^{\mathrm {R}}_{4}\) | \(\mathrm {d}_{2}\text {TetR}_{2} + \mathrm {R} \underset {q_{b}}{\overset {k_{tb3}}{\rightleftharpoons }} \mathrm {d}_{2}\text {TetR}^{\mathrm {R}}_{2}\) |
 | \(\mathrm {d}_{1}\text {LacI}_{4i} + \mathrm {R} \underset {q_{b}}{\overset {k_{lb2}}{\rightleftharpoons }} \mathrm {d}_{1}\text {LacI}^{\mathrm {R}}_{4i}\) |  |
Transcription initiation | \(\mathrm {D}^{\mathrm {R}}_{l} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{1} + \mathrm {D}_{l}\) | \(\mathrm {D}^{\mathrm {R}}_{t} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{2} + \mathrm {E}_{t}\) |
 | \(\mathrm {d}_{1}\text {LacI}^{\mathrm {R}}_{4} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{1} + \mathrm {d}_{1}\text {LacI}_{4}\) | \(\mathrm {d}_{2}\text {TetR}^{\mathrm {R}}_{2} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{2} + \mathrm {d}_{2}\text {TetR}_{2}\) |
 | \(\mathrm {d}_{2}\text {LacI}^{\mathrm {R}}_{4} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{1} + \mathrm {d}_{2}\text {LacI}_{4}\) | \(\mathrm {d}_{2}\text {TetR}^{\mathrm {R}}_{2} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{2} + \mathrm {d}_{2}\text {TetR}_{2}\) |
 | \(\mathrm {d}_{1}\text {LacI}^{\mathrm {R}}_{4i} \overset {\alpha _{i}}{\rightarrow } \mathrm {E}^{1} + \mathrm {d}_{1}\text {LacI}_{4i}\) |  |
Elongation | \(\mathrm {E}_{l} \overset {\alpha _{le}}{\rightarrow } \mathrm {M}_{l} + \mathrm {R} \) | \(\mathrm {E}_{t} \overset {\alpha _{te}}{\rightarrow } \mathrm {M}_{t} + \mathrm {R} \) |
Translation | \(\mathrm {M}_{l} \overset {\alpha _{lt}}{\rightarrow } \text {LacI} + \mathrm {M}_{l} \) | \(\mathrm {M}_{t} \overset {\alpha _{tt}}{\rightarrow } \text {TetR} + \mathrm {M}_{t} \) |
Dimerization | \(\text {LacI} + \text {LacI} \underset {q_{1}}{\overset {k_{1}}{\rightleftharpoons }} \text {LacI}_{2}\) | \(\text {TetR} + \text {TetR} \underset {q_{1}}{\overset {k_{1}}{\rightleftharpoons }} \text {TetR}_{2}\) |
 | \(\text {LacI}_{2} + \text {LacI}_{2} \underset {q_{l2}}{\overset {k_{1}}{\rightleftharpoons }} \text {LacI}_{4}\) |  |
Repressor Binding | \(\text {LacI}_{4} + \mathrm {I}_{l} \underset {q_{l5}}{\overset {k_{l5}}{\rightleftharpoons }} \text {LacI}_{4i}\) | \(\text {TetR}_{2} + \mathrm {I}_{t} \underset {q_{t2}}{\overset {k_{t2}}{\rightleftharpoons }} \text {TetR}_{2i}\) |
 | \(\text {LacI}_{4i} + \mathrm {I}_{l} \underset {q_{l5}}{\overset {k_{l5}}{\rightleftharpoons }} \text {LacI}_{4ii}\) | \(\text {TetR}_{2i} + \mathrm {I}_{t} \underset {q_{t2}}{\overset {k_{t2}}{\rightleftharpoons }} \text {TetR}_{2ii}\) |
Degradation | \(\mathrm {M}_{l} \overset {\gamma _{ml}}{\rightarrow } \oslash \) | \(\mathrm {M}_{t} \overset {\gamma _{mt}}{\rightarrow } \oslash \) |
 | \(\text {LacI} \overset {\gamma _{p}}{\rightarrow } \oslash \) | \(\text {TetR} \overset {\gamma _{p}}{\rightarrow } \oslash \) |
 | \(\text {LacI}_{2} \overset {\gamma _{p}}{\rightarrow } \oslash \) | \(\text {TetR}_{2} \overset {\gamma _{p}}{\rightarrow } \oslash \) |
 | \(\text {LacI}_{4} \overset {\gamma _{p}}{\rightarrow } \oslash \) | \(\text {TetR}_{2i} \overset {\gamma _{p}}{\rightarrow } \oslash \) |
 | \(\text {LacI}_{4i} \overset {\gamma _{p}}{\rightarrow } \oslash \) | \(\text {TetR}_{2ii} \overset {\gamma _{p}}{\rightarrow } \oslash \) |
 | \(\text {LacI}_{4ii} \overset {\gamma _{p}}{\rightarrow } \oslash \) |  |