Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate
KM = (S*((kcat*[E0])-V0))/V0
This formula uses 5 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.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KM = (S*((kcat*[E0])-V0))/V0 --> (1500*((0.65*100000)-450))/450
Evaluating ... ...
KM = 215166.666666667
STEP 3: Convert Result to Output's Unit
215166.666666667 Mole per Cubic Meter -->215.166666666667 Mole per Liter (Check conversion here)
FINAL ANSWER
215.166666666667 215.1667 Mole per Liter <-- Michaelis 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

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Formula

Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate
KM = (S*((kcat*[E0])-V0))/V0

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 Catalytic Rate Constant and Initial Enzyme Concentration?

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration calculator uses Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate to calculate the Michaelis Constant, The Michaelis constant given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial enzyme and substrate concentration and also with initial reaction rate. Michaelis Constant is denoted by KM symbol.

How to calculate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration using this online calculator? To use this online calculator for Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration, enter Substrate Concentration (S), Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]) & Initial Reaction Rate (V0) and hit the calculate button. Here is how the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration calculation can be explained with given input values -> 0.215167 = (1500*((0.65*100000)-450))/450.

FAQ

What is Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?
The Michaelis constant given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial enzyme and substrate concentration and also with initial reaction rate and is represented as KM = (S*((kcat*[E0])-V0))/V0 or Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate. The Substrate Concentration is the number of moles of substrate per liter solution, The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product, The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction & The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
How to calculate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?
The Michaelis constant given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial enzyme and substrate concentration and also with initial reaction rate is calculated using Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate. To calculate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration, you need Substrate Concentration (S), Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]) & Initial Reaction Rate (V0). With our tool, you need to enter the respective value for Substrate Concentration, Catalytic Rate Constant, Initial Enzyme Concentration & Initial Reaction Rate 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 Substrate Concentration, Catalytic Rate Constant, Initial Enzyme Concentration & Initial Reaction Rate. We can use 6 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 = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
  • Michaelis Constant = (Maximum Rate*Substrate Concentration)/Initial Reaction Rate
  • Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
  • Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration)
  • Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
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