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Catalytic Rate Constant from Michaelis Menten Kinetics Equation Formula

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Catalytic Rate Constant for MM is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product. Check FAQs

k cat_MM = \frac{V 0 \cdot (K M + S)}{[E 0] \cdot S}

k_{cat_MM} - Catalytic Rate Constant for MM?V₀ - Initial Reaction Rate?K_M - Michaelis Constant?S - Substrate Concentration?[E₀] - Initial Enzyme Concentration?

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Example

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Here is how the Catalytic Rate Constant from Michaelis Menten Kinetics Equation equation looks like with Values.

Here is how the Catalytic Rate Constant from Michaelis Menten Kinetics Equation equation looks like with Units.

Here is how the Catalytic Rate Constant from Michaelis Menten Kinetics Equation equation looks like.

0.0135 = \frac{0.45 \cdot (3 + 1.5)}{100 \cdot 1.5}

0.0135s⁻¹ = \frac{0.45mol/L*s \cdot (3mol/L + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

0.0135 = \frac{0.45 \cdot (3 + 1.5)}{100 \cdot 1.5}

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Catalytic Rate Constant from Michaelis Menten Kinetics Equation Solution

Follow our step by step solution on how to calculate Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

FIRST Step Consider the formula

k cat_MM = \frac{V 0 \cdot (K M + S)}{[E 0] \cdot S}

Next Step Substitute values of Variables

∴

k cat_MM = \frac{0.45mol/L*s \cdot (3mol/L + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

Next Step Convert Units

∴

k cat_MM = \frac{450mol/m³*s \cdot (3000mol/m³ + 1500mol/m³)}{100000mol/m³ \cdot 1500mol/m³}

Next Step Prepare to Evaluate

∴

k cat_MM = \frac{450 \cdot (3000 + 1500)}{100000 \cdot 1500}

LAST Step Evaluate

∴

k cat_MM = 0.0135s⁻¹

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Formula Elements

Variables

Catalytic Rate Constant for MM

Catalytic Rate Constant for MM is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

Symbol: k_{cat_MM}

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Catalytic Rate Constant for MM

Initial Reaction Rate

The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.

Symbol: V₀

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Initial Reaction Rate

Michaelis Constant

The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

Symbol: K_M

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Michaelis Constant

Substrate Concentration

The Substrate Concentration is the number of moles of substrate per liter solution.

Symbol: S

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Substrate Concentration

Initial Enzyme Concentration

The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.

Symbol: [E₀]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Enzyme Concentration

Other formulas in Michaelis Menten Kinetics Equation category

Go Modifying Factor of Enzyme Substrate Complex

α' = 1 + (\frac{I}{K i'})

Go Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

V RC = k 2 \cdot ES

Go Initial Reaction Rate given Dissociation Rate Constant

V DRC = \frac{V max \cdot S}{K D + S}

Go Maximum Rate given Dissociation Rate Constant

V max_DRC = \frac{V 0 \cdot (K D + S)}{S}

How to Evaluate Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

Catalytic Rate Constant from Michaelis Menten Kinetics Equation evaluator uses Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration) to evaluate the Catalytic Rate Constant for MM, The Catalytic rate constant from Michaelis Menten Kinetics Equation formula is defined as the relation between the initial enzyme concentration and the concentration of a substrate. Catalytic Rate Constant for MM is denoted by k_{cat_MM} symbol.

How to evaluate Catalytic Rate Constant from Michaelis Menten Kinetics Equation using this online evaluator? To use this online evaluator for Catalytic Rate Constant from Michaelis Menten Kinetics Equation, enter Initial Reaction Rate (V₀), Michaelis Constant (K_M), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]) and hit the calculate button.

FAQs on Catalytic Rate Constant from Michaelis Menten Kinetics Equation

What is the formula to find Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

The formula of Catalytic Rate Constant from Michaelis Menten Kinetics Equation is expressed as Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). Here is an example- 0.0135 = (450*(3000+1500))/(100000*1500).

How to calculate Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

With Initial Reaction Rate (V₀), Michaelis Constant (K_M), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]) we can find Catalytic Rate Constant from Michaelis Menten Kinetics Equation using the formula - Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration).

Can the Catalytic Rate Constant from Michaelis Menten Kinetics Equation be negative?

Yes, the Catalytic Rate Constant from Michaelis Menten Kinetics Equation, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

Catalytic Rate Constant from Michaelis Menten Kinetics Equation is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Catalytic Rate Constant from Michaelis Menten Kinetics Equation can be measured.

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Catalytic Rate Constant from Michaelis Menten Kinetics Equation Formula

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Example

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Solution

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Formula Elements

Other formulas in Michaelis Menten Kinetics Equation category

How to Evaluate Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

FAQs on Catalytic Rate Constant from Michaelis Menten Kinetics Equation

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