Catalytic Rate Constant from Michaelis Menten Kinetics Equation Calculator

✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+10% -10%
✖The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.ⓘ Michaelis Constant [K_M]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%
✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration [[E₀]]			+10% -10%

✖Catalytic Rate Constant for MM is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic Rate Constant from Michaelis Menten Kinetics Equation [k_{cat_MM}]

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Catalytic Rate Constant from Michaelis Menten Kinetics Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
k_{cat_MM} = (V₀*(K_M+S))/([E₀]*S)
This formula uses 5 Variables

Variables Used

Catalytic Rate Constant for MM - (Measured in 1 Per Second) - Catalytic Rate Constant for MM is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
Initial Reaction Rate - (Measured in Mole per Cubic Meter Second) - The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
Michaelis Constant - (Measured in Mole per Cubic Meter) - The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Initial Enzyme Concentration - (Measured in Mole per Cubic Meter) - The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.

STEP 1: Convert Input(s) to Base Unit

Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_{cat_MM} = (V₀*(K_M+S))/([E₀]*S) --> (450*(3000+1500))/(100000*1500)

Evaluating ... ...

k_{cat_MM} = 0.0135

STEP 3: Convert Result to Output's Unit

0.0135 1 Per Second --> No Conversion Required

FINAL ANSWER

0.0135 1 Per Second <-- Catalytic Rate Constant for MM

(Calculation completed in 00.020 seconds)

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< Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

LaTeX Go Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate

Maximum Rate of System from Michaelis Menten Kinetics equation

LaTeX Go Maximum Rate = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/Substrate Concentration

Substrate Concentration from Michaelis Menten Kinetics Equation

LaTeX Go Substrate Concentration = (Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)

Michaelis Constant from Michaelis Menten kinetics equation

LaTeX Go Michaelis Constant = Substrate Concentration*((Maximum Rate-Initial Reaction Rate)/Initial Reaction Rate)

< Important Formulas on Enzyme Kinetics Calculators

Initial Reaction Rate given Dissociation Rate Constant

LaTeX Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

Maximum Rate given Dissociation Rate Constant

LaTeX Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration

Modifying Factor of Enzyme Substrate Complex

LaTeX Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)

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

LaTeX Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration

Catalytic Rate Constant from Michaelis Menten Kinetics Equation Formula

LaTeX Go

Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
k_{cat_MM} = (V₀*(K_M+S))/([E₀]*S)

What is Michaelis–Menten kinetics model?

In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. Biochemical reactions involving a single substrate are often assumed to follow Michaelis–Menten kinetics, without regard to the model's underlying assumptions. The model takes the form of an equation describing the rate of enzymatic reactions, by relating the reaction rate of formation of product to the concentration of a substrate.

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

Catalytic Rate Constant from Michaelis Menten Kinetics Equation calculator uses Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration) to calculate 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 calculate Catalytic Rate Constant from Michaelis Menten Kinetics Equation using this online calculator? To use this online calculator 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. Here is how the Catalytic Rate Constant from Michaelis Menten Kinetics Equation calculation can be explained with given input values -> 0.0135 = (450*(3000+1500))/(100000*1500).

FAQ

What is Catalytic Rate Constant from Michaelis Menten Kinetics Equation?

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 and is represented as k_{cat_MM} = (V₀*(K_M+S))/([E₀]*S) or Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place, The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system, The Substrate Concentration is the number of moles of substrate per liter solution & The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.

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

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 is calculated using Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). To calculate Catalytic Rate Constant from Michaelis Menten Kinetics Equation, you need Initial Reaction Rate (V₀), Michaelis Constant (K_M), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Substrate Concentration & Initial Enzyme Concentration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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