Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System (Q6674174)

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

Language	Label	Description	Also known as
English	Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System	system of ordinary differential equations describing a bi bi reaction with an ordered mechanism and Single Central complex

Statements

instance of

mathematical expression

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in defining formula

{\frac {dc_{EP_{1}}}{dt}}

symbol represents

Reaction Rate of Enzyme - Product 1 Complex

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{\frac {dc_{ES_{1}}}{dt}}

symbol represents

Reaction Rate of Enzyme - Substrate 1 Complex

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{\frac {dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}}

symbol represents

Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex

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{\frac {dc_{E}}{dt}}

symbol represents

Reaction Rate of Enzyme

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{\frac {dc_{P_{1}}}{dt}}

symbol represents

Reaction Rate of Product 1

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{\frac {dc_{P_{2}}}{dt}}

symbol represents

Reaction Rate of Product 2

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{\frac {dc_{S_{1}}}{dt}}

symbol represents

Reaction Rate of Substrate 1

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{\frac {dc_{S_{2}}}{dt}}

symbol represents

Reaction Rate of Substrate 2

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c_{EP_{1}}

symbol represents

Enzyme - Product 1 Complex Concentration

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c_{ES_{1}}

symbol represents

Enzyme - Substrate 1 Complex Concentration

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c_{ES_{1}S_{2}=EP_{1}P_{2}}

symbol represents

Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 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_{-4}

symbol represents

Reaction Rate Constant

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k_{-5}

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_{4}

symbol represents

Reaction Rate Constant

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k_{5}

symbol represents

Reaction Rate Constant

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t

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MaRDI formula profile

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contains

Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)

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defining formula

{\begin{aligned}{\frac {dc_{S_{1}}}{dt}}&=k_{-1}c_{ES_{1}}-k_{1}c_{E}c_{S_{1}}\\{\frac {dc_{S_{2}}}{dt}}&=k_{-2}c_{ES_{1}S_{2}=EP_{1}P_{2}}-k_{2}c_{ES_{1}}c_{S_{2}}\\{\frac {dc_{ES_{1}}}{dt}}&=k_{1}c_{E}c_{S_{1}}+k_{-2}c_{ES_{1}S_{2}=EP_{1}P_{2}}-k_{-1}c_{ES_{1}}-k_{2}c_{ES_{1}}c_{S_{2}}\\{\frac {dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}}&=k_{2}c_{ES_{1}}c_{S_{2}}-k_{-2}c_{ES_{1}S_{2}=EP_{1}P_{2}}+k_{-4}c_{EP_{1}}c_{P_{2}}-k_{4}c_{ES_{1}S_{2}=EP_{1}P_{2}}\\{\frac {dc_{EP_{1}}}{dt}}&=k_{4}c_{ES_{1}S_{2}=EP_{1}P_{2}}+k_{-5}c_{E}c_{P_{1}}-k_{-4}c_{EP_{1}}c_{P_{2}}-k_{5}c_{EP_{1}}\\{\frac {dc_{P_{1}}}{dt}}&=k_{5}c_{EP_{1}}-k_{-5}c_{E}c_{P_{1}}\\{\frac {dc_{P_{2}}}{dt}}&=k_{4}c_{ES_{1}S_{2}=EP_{1}P_{2}}-k_{-4}c_{EP_{1}}c_{P_{2}}\\{\frac {dc_{E}}{dt}}&=k_{-1}c_{ES_{1}}+k_{5}c_{EP_{1}}-k_{1}c_{E}c_{S_{1}}-k_{-5}c_{E}c_{P_{1}}\\\end{aligned}}

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Sitelinks

Mathematics(1 entry)

mardi Formula:6674174