Catalytic rate constant given Michaelis Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant
kcat = (KM*kf)-kr
This formula uses 4 Variables
Variables Used
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.
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.
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
Reverse Rate Constant: 20 Mole per Liter Second --> 20000 Mole per Cubic Meter Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kcat = (KM*kf)-kr --> (3000*6.9)-20000
Evaluating ... ...
kcat = 700
STEP 3: Convert Result to Output's Unit
700 1 Per Second --> No Conversion Required
FINAL ANSWER
700 1 Per Second <-- Catalytic Rate Constant
(Calculation completed in 00.004 seconds)

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25 Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Modifying Factor in Michaelis Menten Equation
Go Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration)
Initial Reaction Rate of Enzyme given Modifying factor in Michaelis Menten equation
Go Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/((Enzyme Modifying Factor*Michaelis Constant)+(Enzyme Substrate Modifying Factor*Substrate Concentration))
Modifying Factor of Enzyme Substrate Complex in Michaelis Menten Equation
Go Enzyme Substrate Modifying Factor = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-(Enzyme Modifying Factor*Michaelis Constant))/Substrate Concentration
Maximum Rate given Modifying Factor in Michaelis Menten Equation
Go Maximum Rate = (Initial Reaction Rate*((Enzyme Modifying Factor*Michaelis Constant)+(Enzyme Substrate Modifying Factor*Substrate Concentration)))/Substrate Concentration
Modifying Factor of Enzyme in Michaelis Menten Equation
Go Enzyme Modifying Factor = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-(Enzyme Substrate Modifying Factor*Substrate Concentration))/Michaelis Constant
Catalytic Rate Constant from Michaelis Menten Kinetics Equation
Go Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
Enzyme Concentration from Michaelis Menten Kinetics equation
Go Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
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
Michaelis Constant at Low Substrate Concentration
Go Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
Dissociation Rate Constant from Michaelis Menten kinetics equation
Go Dissociation Rate Constant = ((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-(Substrate Concentration)
Initial Rate given Apparent value of Michaelis Menten Constant
Go Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/(Apparent Michaelis Constant+Substrate Concentration)
Maximum Rate given Apparent Value of Michaelis Menten Constant
Go Maximum Rate = (Initial Reaction Rate*(Apparent Michaelis Constant+Substrate Concentration))/Substrate Concentration
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)
Inhibitor's Dissociation Constant given Michaelis Menten Constant
Go Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Apparent Michaelis Constant/Michaelis Constant)-1))
Michaelis Menten constant given Apparent Michaelis Menten Constant
Go Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Inhibitor Concentration given Apparent Michaelis Menten Constant
Go Inhibitor Concentration = ((Apparent Michaelis Constant/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants
Go Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
Catalytic rate constant given Michaelis Constant
Go Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant
Forward Rate Constant given Michaelis Constant
Go Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Michaelis Constant
Michaelis Constant given Maximum Rate at Low Substrate Concentration
Go Michaelis Constant = (Maximum Rate*Substrate Concentration)/Initial Reaction Rate
Initial Enzyme Concentration if Substrate Concentration is Higher than Michaelis Constant
Go Enzyme Concentration Initially = Maximum Rate/Catalytic Rate Constant
Catalytic Rate Constant if Substrate Concentration is higher than Michaelis Constant
Go Catalytic Rate Constant = Maximum Rate/Initial Enzyme Concentration
Maximum Rate if Substrate Concentration is Higher than Michaelis Constant
Go Maximum Rate = Catalytic Rate Constant*Initial Enzyme Concentration

Catalytic rate constant given Michaelis Constant Formula

Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant
kcat = (KM*kf)-kr

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 given Michaelis Constant?

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

How to calculate Catalytic rate constant given Michaelis Constant using this online calculator? To use this online calculator for Catalytic rate constant given Michaelis Constant, enter Michaelis Constant (KM), Forward Rate Constant (kf) & Reverse Rate Constant (kr) and hit the calculate button. Here is how the Catalytic rate constant given Michaelis Constant calculation can be explained with given input values -> 700 = (3000*6.9)-20000.

FAQ

What is Catalytic rate constant given Michaelis Constant?
The Catalytic rate constant given Michaelis constant formula is defined as the subtraction of reverse rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism and is represented as kcat = (KM*kf)-kr or Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse 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 Reverse Rate Constant is defined as the rate constant for the backward reaction.
How to calculate Catalytic rate constant given Michaelis Constant?
The Catalytic rate constant given Michaelis constant formula is defined as the subtraction of reverse rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism is calculated using Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant. To calculate Catalytic rate constant given Michaelis Constant, you need Michaelis Constant (KM), Forward Rate Constant (kf) & Reverse Rate Constant (kr). With our tool, you need to enter the respective value for Michaelis Constant, Forward Rate Constant & Reverse 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 Catalytic Rate Constant?
In this formula, Catalytic Rate Constant uses Michaelis Constant, Forward Rate Constant & Reverse Rate Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Catalytic Rate Constant = Maximum Rate/Initial Enzyme Concentration
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