Bi Bi Reaction Theorell-Chance Mechanism ODE System

Available identifiers

system of ordinary differential equations describing a bi bi reaction with a Theorell-Chance mechanism

Defining Formula: $\begin{matrix} \frac{d c_{S_{1}}}{d t} & = & k_{- 1} c_{E S_{1}} - k_{1} c_{E} c_{S_{1}} \\ \frac{d c_{S_{2}}}{d t} & = & k_{- 2} c_{E P_{2}} c_{P_{1}} - k_{2} c_{E S_{1}} c_{S_{2}} \\ \frac{d c_{P_{1}}}{d t} & = & k_{2} c_{E S_{1}} c_{S_{2}} - k_{- 2} c_{E P_{2}} c_{P_{1}} \\ \frac{d c_{P_{2}}}{d t} & = & k_{3} c_{E P_{2}} - k_{- 3} c_{E} c_{P_{2}} \\ \frac{d c_{E S_{1}}}{d t} & = & k_{1} c_{E} c_{S_{1}} + k_{- 2} c_{E P_{2}} c_{P_{1}} - k_{- 1} c_{E S_{1}} - k_{2} c_{E S_{1}} c_{S_{2}} \\ \frac{d c_{E P_{2}}}{d t} & = & k_{2} c_{E S_{1}} c_{S_{2}} + k_{- 3} c_{E} c_{P_{2}} - k_{- 2} c_{E P_{2}} c_{P_{1}} - k_{3} c_{E P_{2}} \\ \frac{d c_{E}}{d t} & = & k_{- 1} c_{E S_{1}} + k_{3} c_{E P_{2}} - k_{1} c_{E} c_{S_{1}} - k_{- 3} c_{E} c_{P_{2}} \end{matrix}$
$\frac{d c_{E P_{2}}}{d t}$ symbol represents Reaction Rate of Enzyme - Product 2 Complex
$\frac{d c_{E S_{1}}}{d t}$ symbol represents Reaction Rate of Enzyme - Substrate 1 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
$c_{E P_{2}}$ symbol represents Enzyme - Product 2 Complex Concentration
$c_{E S_{1}}$ symbol represents Enzyme - Substrate 1 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
$k_{- 3}$ symbol represents Reaction Rate Constant
$k_{1}$ symbol represents Reaction Rate Constant
$k_{2}$ symbol represents Reaction Rate Constant
$k_{3}$ symbol represents Reaction Rate Constant
$t$ symbol represents Time