Reverse Rate Constant given Michaelis Constant Calculator

✖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 [k_f]			+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 Reverse Rate Constant is defined as the rate constant for the backward reaction.ⓘ Reverse Rate Constant given Michaelis Constant [k_r]

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Formula

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Reverse Rate Constant given Michaelis Constant

Formula

`"k"_{"r"} = ("K"_{"M"}*"k"_{"f"})-"k"_{"cat"}`

Example

`"20.69935mol/L*s"=("3mol/L"*"6.9s⁻¹")-"0.65s⁻¹"`

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Reverse Rate Constant given Michaelis Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Reverse Rate Constant - (Measured in Mole per Cubic Meter Second) - The Reverse Rate Constant is defined as the rate constant for the backward reaction.
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.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring 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.

STEP 1: Convert Input(s) to Base Unit

Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_r = (K_M*k_f)-k_cat --> (3000*6.9)-0.65

Evaluating ... ...

k_r = 20699.35

STEP 3: Convert Result to Output's Unit

20699.35 Mole per Cubic Meter Second -->20.69935 Mole per Liter Second (Check conversion here)

FINAL ANSWER

20.69935 Mole per Liter Second <-- Reverse Rate Constant

(Calculation completed in 00.020 seconds)

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< 16 Rate Constants of Enzymatic Reaction Calculators

Forward Rate Constant in Enzymatic Reaction mechanism

Go Forward Rate Constant = (Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))

Reverse Rate Constant in Enzymatic Reaction Mechanism

Go Reverse Rate Constant = (Forward Rate Constant*Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))/Enzyme Substrate Complex Concentration

Forward Rate Constant given Reverse and Catalytic Rate Constant

Go Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)*(Enzyme Substrate Complex Concentration/(Catalyst Concentration*Substrate Concentration))

Reverse Rate Constant given Forward and Catalytic Rate Constants

Go Reverse Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Catalytic Rate Constant

Catalytic Rate Constant given Reverse and Forward Rate Constant

Go Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant

Catalytic Rate Constant given Dissociation Rate Constant

Go Catalytic Rate Constant = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)

Dissociation Rate Constant given Catalytic Rate Constant

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

Catalytic Rate Constant at Low Substrate Concentration

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

Dissociation Rate Constant given Concentration of Enzyme and Substrate

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

Reverse Rate Constant given Michaelis Constant

Go Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate Constant

Rate Constant given Initial Rate and Enzyme Substrate Complex Concentration

Go Final Rate Constant = Initial Reaction Rate/Enzyme Substrate Complex Concentration

Forward Rate Constant given Dissociation Rate Constant

Go Forward Rate Constant = (Reverse Rate Constant/Dissociation Rate Constant)

Reverse Rate Constant given Dissociation Rate Constant

Go Reverse Rate Constant = (Dissociation Rate Constant*Forward Rate Constant)

Dissociation Rate Constant in Enzymatic Reaction Mechanism

Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant

Rate of Chemical Reaction

Go Rate of chemical reaction = Change in concentration/Total time interval

Rate Constant given Maximum Rate and Initial Enzyme Concentration

Go Final Rate Constant = Maximum Rate/Initial Enzyme Concentration

Reverse Rate Constant given Michaelis Constant Formula

Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate Constant
k_r = (K_M*k_f)-k_cat

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 Reverse Rate Constant given Michaelis Constant?

Reverse Rate Constant given Michaelis Constant calculator uses Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate Constant to calculate the Reverse Rate Constant, The Reverse rate constant given Michaelis constant formula is defined as the subtraction of catalytic rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism. Reverse Rate Constant is denoted by k_r symbol.

How to calculate Reverse Rate Constant given Michaelis Constant using this online calculator? To use this online calculator for Reverse Rate Constant given Michaelis Constant, enter Michaelis Constant (K_M), Forward Rate Constant (k_f) & Catalytic Rate Constant (k_cat) and hit the calculate button. Here is how the Reverse Rate Constant given Michaelis Constant calculation can be explained with given input values -> 0.020699 = (3000*6.9)-0.65.

FAQ

What is Reverse Rate Constant given Michaelis Constant?

The Reverse rate constant given Michaelis constant formula is defined as the subtraction of catalytic rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism and is represented as k_r = (K_M*k_f)-k_cat or Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate 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, The Forward Rate Constant is defined as the rate constant for the forward occurring reaction & The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

How to calculate Reverse Rate Constant given Michaelis Constant?

The Reverse rate constant given Michaelis constant formula is defined as the subtraction of catalytic rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism is calculated using Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate Constant. To calculate Reverse Rate Constant given Michaelis Constant, you need Michaelis Constant (K_M), Forward Rate Constant (k_f) & Catalytic Rate Constant (k_cat). With our tool, you need to enter the respective value for Michaelis Constant, Forward Rate Constant & Catalytic 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 Reverse Rate Constant?

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

Reverse Rate Constant = (Forward Rate Constant*Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))/Enzyme Substrate Complex Concentration
Reverse Rate Constant = (Dissociation Rate Constant*Forward Rate Constant)
Reverse Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Catalytic Rate Constant

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