Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants Calculator

✖The Reverse Rate Constant is defined as the rate constant for the backward reaction.ⓘ Reverse Rate Constant [k_r]			+10% -10%
✖The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic Rate Constant [k_cat]			+10% -10%
✖The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.ⓘ Forward Rate Constant [k_f]			+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 given Forward, Reverse, and Catalytic Rate Constants [K_M]

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Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
K_M = (k_r+k_cat)/k_f
This formula uses 4 Variables

Variables Used

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.
Reverse Rate Constant - (Measured in Mole per Cubic Meter Second) - The Reverse Rate Constant is defined as the rate constant for the backward reaction.
Catalytic Rate Constant - (Measured in 1 Per Second) - The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.

STEP 1: Convert Input(s) to Base Unit

Reverse Rate Constant: 20 Mole per Liter Second --> 20000 Mole per Cubic Meter Second (Check conversion here)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_M = (k_r+k_cat)/k_f --> (20000+0.65)/6.9

Evaluating ... ...

K_M = 2898.64492753623

STEP 3: Convert Result to Output's Unit

2898.64492753623 Mole per Cubic Meter -->2.89864492753623 Mole per Liter (Check conversion here)

FINAL ANSWER

2.89864492753623 ≈ 2.898645 Mole per Liter <-- Michaelis Constant

(Calculation completed in 00.007 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

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants Formula

LaTeX Go

Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
K_M = (k_r+k_cat)/k_f

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 Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants calculator uses Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant to calculate the Michaelis Constant, The Michaelis constant given forward, reverse, and catalytic rate constants formula is defined as the ratio of addition of rate constant of reverse reaction and rate constant of reaction from intermediate to product to the rate constant of the forward reaction. Michaelis Constant is denoted by K_M symbol.

How to calculate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants using this online calculator? To use this online calculator for Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants, enter Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Forward Rate Constant (k_f) and hit the calculate button. Here is how the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants calculation can be explained with given input values -> 0.002899 = (20000+0.65)/6.9.

FAQ

What is Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

The Michaelis constant given forward, reverse, and catalytic rate constants formula is defined as the ratio of addition of rate constant of reverse reaction and rate constant of reaction from intermediate to product to the rate constant of the forward reaction and is represented as K_M = (k_r+k_cat)/k_f or Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant. The Reverse Rate Constant is defined as the rate constant for the backward reaction, The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product & The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.

How to calculate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

The Michaelis constant given forward, reverse, and catalytic rate constants formula is defined as the ratio of addition of rate constant of reverse reaction and rate constant of reaction from intermediate to product to the rate constant of the forward reaction is calculated using Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant. To calculate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants, you need Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Forward Rate Constant (k_f). With our tool, you need to enter the respective value for Reverse Rate Constant, Catalytic Rate Constant & Forward Rate Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Michaelis Constant?

In this formula, Michaelis Constant uses Reverse Rate Constant, Catalytic Rate Constant & Forward Rate Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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