Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System

Available identifiers

system of ordinary differential equations describing a bi bi reaction with an ordered mechanism and Single Central complex

Defining Formula: $\begin{matrix} \frac{d c_{S_{1}}}{d t} & = k_{- 1} c_{E S_{1}} - k_{1} c_{E} c_{S_{1}} \\ \frac{d c_{S_{2}}}{d t} & = k_{- 2} c_{E S_{1} S_{2} = E P_{1} P_{2}} - k_{2} c_{E S_{1}} c_{S_{2}} \\ \frac{d c_{E S_{1}}}{d t} & = k_{1} c_{E} c_{S_{1}} + k_{- 2} c_{E S_{1} S_{2} = E P_{1} P_{2}} - k_{- 1} c_{E S_{1}} - k_{2} c_{E S_{1}} c_{S_{2}} \\ \frac{d c_{E S_{1} S_{2} = E P_{1} P_{2}}}{d t} & = k_{2} c_{E S_{1}} c_{S_{2}} - k_{- 2} c_{E S_{1} S_{2} = E P_{1} P_{2}} + k_{- 4} c_{E P_{1}} c_{P_{2}} - k_{4} c_{E S_{1} S_{2} = E P_{1} P_{2}} \\ \frac{d c_{E P_{1}}}{d t} & = k_{4} c_{E S_{1} S_{2} = E P_{1} P_{2}} + k_{- 5} c_{E} c_{P_{1}} - k_{- 4} c_{E P_{1}} c_{P_{2}} - k_{5} c_{E P_{1}} \\ \frac{d c_{P_{1}}}{d t} & = k_{5} c_{E P_{1}} - k_{- 5} c_{E} c_{P_{1}} \\ \frac{d c_{P_{2}}}{d t} & = k_{4} c_{E S_{1} S_{2} = E P_{1} P_{2}} - k_{- 4} c_{E P_{1}} c_{P_{2}} \\ \frac{d c_{E}}{d t} & = k_{- 1} c_{E S_{1}} + k_{5} c_{E P_{1}} - k_{1} c_{E} c_{S_{1}} - k_{- 5} c_{E} c_{P_{1}} \end{matrix}$
$\frac{d c_{E P_{1}}}{d t}$ symbol represents Reaction Rate of Enzyme - Product 1 Complex
$\frac{d c_{E S_{1}}}{d t}$ symbol represents Reaction Rate of Enzyme - Substrate 1 Complex
$\frac{d c_{E S_{1} S_{2} = E P_{1} P_{2}}}{d t}$ symbol represents Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex
$\frac{d c_{E}}{d t}$ symbol represents Reaction Rate of Enzyme
$\frac{d c_{P_{1}}}{d t}$ symbol represents Reaction Rate of Product 1
$\frac{d c_{P_{2}}}{d t}$ symbol represents Reaction Rate of Product 2
$\frac{d c_{S_{1}}}{d t}$ symbol represents Reaction Rate of Substrate 1
$\frac{d c_{S_{2}}}{d t}$ symbol represents Reaction Rate of Substrate 2
$c_{E P_{1}}$ symbol represents Enzyme - Product 1 Complex Concentration
$c_{E S_{1}}$ symbol represents Enzyme - Substrate 1 Complex Concentration
$c_{E S_{1} S_{2} = E P_{1} P_{2}}$ symbol represents Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration
$c_{E}$ symbol represents Enzyme Concentration
$c_{P_{1}}$ symbol represents Product 1 Concentration
$c_{P_{2}}$ symbol represents Product 2 Concentration
$c_{S_{1}}$ symbol represents Substrate 1 Concentration
$c_{S_{2}}$ symbol represents Substrate 2 Concentration
$k_{- 1}$ symbol represents Reaction Rate Constant
$k_{- 2}$ symbol represents Reaction Rate Constant
$k_{- 4}$ symbol represents Reaction Rate Constant
$k_{- 5}$ symbol represents Reaction Rate Constant
$k_{1}$ symbol represents Reaction Rate Constant
$k_{2}$ symbol represents Reaction Rate Constant
$k_{4}$ symbol represents Reaction Rate Constant
$k_{5}$ symbol represents Reaction Rate Constant
$t$ symbol represents Time