Forward Rate Constant given Michaelis Constant 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 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 Forward Rate Constant is defined as the rate constant for the forward occurring reaction.ⓘ Forward Rate Constant given Michaelis Constant [k_f]

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Formula

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Forward Rate Constant given Michaelis Constant

Formula

k f = \frac{k r + k cat}{K M}

Example

6.666883 s⁻¹ = \frac{20 mol/L*s + 0.65 s⁻¹}{3 mol/L}

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Forward Rate Constant given Michaelis Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.
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.
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.

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
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_f = (k_r+k_cat)/K_M --> (20000+0.65)/3000

Evaluating ... ...

k_f = 6.66688333333333

STEP 3: Convert Result to Output's Unit

6.66688333333333 1 Per Second --> No Conversion Required

FINAL ANSWER

6.66688333333333 ≈ 6.666883 1 Per Second <-- Forward Rate Constant

(Calculation completed in 00.004 seconds)

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< Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

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

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

Substrate Concentration from Michaelis Menten Kinetics Equation

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

Michaelis Constant from Michaelis Menten kinetics equation

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

Forward Rate Constant given Michaelis Constant Formula

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

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 Forward Rate Constant given Michaelis Constant?

Forward Rate Constant given Michaelis Constant calculator uses Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Michaelis Constant to calculate the Forward Rate Constant, The Forward Rate Constant given Michaelis Constant 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 Michaelis constant of the reaction. Forward Rate Constant is denoted by k_f symbol.

How to calculate Forward Rate Constant given Michaelis Constant using this online calculator? To use this online calculator for Forward Rate Constant given Michaelis Constant, enter Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Michaelis Constant (K_M) and hit the calculate button. Here is how the Forward Rate Constant given Michaelis Constant calculation can be explained with given input values -> 6.666883 = (20000+0.65)/3000.

FAQ

What is Forward Rate Constant given Michaelis Constant?

The Forward Rate Constant given Michaelis Constant 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 Michaelis constant of the reaction and is represented as k_f = (k_r+k_cat)/K_M or Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Michaelis 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 Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

How to calculate Forward Rate Constant given Michaelis Constant?

The Forward Rate Constant given Michaelis Constant 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 Michaelis constant of the reaction is calculated using Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Michaelis Constant. To calculate Forward Rate Constant given Michaelis Constant, you need Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Michaelis Constant (K_M). With our tool, you need to enter the respective value for Reverse Rate Constant, Catalytic Rate Constant & Michaelis Constant 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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