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Bi Bi Reaction Theorell-Chance Mechanism ODE System - MaRDI portal

Bi Bi Reaction Theorell-Chance Mechanism ODE System (Q6674226)

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

Language	Label	Description	Also known as
English	Bi Bi Reaction Theorell-Chance Mechanism ODE System	system of ordinary differential equations describing a bi bi reaction with a Theorell-Chance mechanism

Statements

mathematical expression

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in defining formula

\frac{d c_{E P_{2}}}{d t}

symbol represents

Reaction Rate of Enzyme - Product 2 Complex

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\frac{d c_{E S_{1}}}{d t}

symbol represents

Reaction Rate of Enzyme - Substrate 1 Complex

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\frac{d c_{E}}{d t}

symbol represents

Reaction Rate of Enzyme

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\frac{d c_{P_{1}}}{d t}

symbol represents

Reaction Rate of Product 1

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\frac{d c_{P_{2}}}{d t}

symbol represents

Reaction Rate of Product 2

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\frac{d c_{S_{1}}}{d t}

symbol represents

Reaction Rate of Substrate 1

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\frac{d c_{S_{2}}}{d t}

symbol represents

Reaction Rate of Substrate 2

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c_{E P_{2}}

symbol represents

Enzyme - Product 2 Complex Concentration

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c_{E S_{1}}

symbol represents

Enzyme - Substrate 1 Complex Concentration

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c_{E}

symbol represents

Enzyme Concentration

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c_{P_{1}}

symbol represents

Product 1 Concentration

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c_{P_{2}}

symbol represents

Product 2 Concentration

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c_{S_{1}}

symbol represents

Substrate 1 Concentration

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c_{S_{2}}

symbol represents

Substrate 2 Concentration

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k_{- 1}

symbol represents

Reaction Rate Constant

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k_{- 2}

symbol represents

Reaction Rate Constant

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k_{- 3}

symbol represents

Reaction Rate Constant

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k_{1}

symbol represents

Reaction Rate Constant

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k_{2}

symbol represents

Reaction Rate Constant

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k_{3}

symbol represents

Reaction Rate Constant

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t

symbol represents

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MaRDI profile type

MaRDI formula profile

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Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)

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Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)

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defining formula

\begin{aligned} \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{aligned}

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Sitelinks

Mathematics(1 entry)

mardi Formula:6674226

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