Enzyme Concentration from Michaelis Menten Kinetics equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
[Ei] = (V0*(KM+S))/(kcat*S)
This formula uses 5 Variables
Variables Used
Initial Concentration of Enzyme - (Measured in Mole per Cubic Meter) - Initial Concentration of Enzyme 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.
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.
STEP 1: Convert Input(s) to Base Unit
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
[Ei] = (V0*(KM+S))/(kcat*S) --> (450*(3000+1500))/(0.65*1500)
Evaluating ... ...
[Ei] = 2076.92307692308
STEP 3: Convert Result to Output's Unit
2076.92307692308 Mole per Cubic Meter -->2.07692307692308 Mole per Liter (Check conversion here)
FINAL ANSWER
2.07692307692308 2.076923 Mole per Liter <-- Initial Concentration of Enzyme
(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

25 Important Formulas on Enzyme Kinetics Calculators

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis
Go Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
Inhibitor Concentration for Competitive Inhibition of Enzyme Catalysis
Go Inhibitor Concentration given IEC = (((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Enzyme Substrate Complex Concentration for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Substrate Complex Concentration = (Substrate Concentration*Initial Enzyme Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System
Go Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Rate in Competitive Inhibition given Maximum Rate of system
Go Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants
Go Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration)
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)
Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration
Go Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Initial Enzyme Concentration given Dissociation Rate Constant
Go Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)
Initial Reaction Rate given Dissociation Rate Constant
Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
Maximum Rate given Dissociation Rate Constant
Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration
Inhibitor Concentration given Apparent Initial Enzyme Concentration
Go Inhibitor Concentration for CI = ((Initial Enzyme Concentration/Apparent Initial Enzyme Concentration)-1)*Enzyme Inhibitor Dissociation Constant
Initial Concentration of Enzyme in presence of Inhibitor by Enzyme Conservation Law
Go Enzyme Concentration Initially = (Catalyst Concentration+Enzyme Substrate Complex Concentration+Enzyme Inhibitor Complex Concentration)
Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants
Go Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
Inhibitor Concentration given Enzyme Substrate Modifying Factor
Go Inhibitor Concentration = (Enzyme Substrate Modifying Factor-1)*Enzyme Substrate Dissociation Constant
Modifying Factor of Enzyme Substrate Complex
Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)
Dissociation Constant of Enzyme given Modifying Factor of Enzyme
Go Enzyme Inhibitor Dissociation Constant given MF = Inhibitor Concentration/(Enzyme Modifying Factor-1)
Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration
Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration
Forward Rate Constant given Dissociation Rate Constant
Go Forward Rate Constant = (Reverse Rate Constant/Dissociation Rate Constant)
Dissociation Rate Constant in Enzymatic Reaction Mechanism
Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant
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

Enzyme Concentration from Michaelis Menten Kinetics equation Formula

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

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 Enzyme Concentration from Michaelis Menten Kinetics equation?

Enzyme Concentration from Michaelis Menten Kinetics equation calculator uses Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration) to calculate the Initial Concentration of Enzyme, The Enzyme concentration from Michaelis Menten kinetics equation formula is defined as the relation with initial reaction rate and the concentration of a substrate. Initial Concentration of Enzyme is denoted by [Ei] symbol.

How to calculate Enzyme Concentration from Michaelis Menten Kinetics equation using this online calculator? To use this online calculator for Enzyme Concentration from Michaelis Menten Kinetics equation, enter Initial Reaction Rate (V0), Michaelis Constant (KM), Substrate Concentration (S) & Catalytic Rate Constant (kcat) and hit the calculate button. Here is how the Enzyme Concentration from Michaelis Menten Kinetics equation calculation can be explained with given input values -> 0.002077 = (450*(3000+1500))/(0.65*1500).

FAQ

What is Enzyme Concentration from Michaelis Menten Kinetics equation?
The Enzyme concentration from Michaelis Menten kinetics equation formula is defined as the relation with initial reaction rate and the concentration of a substrate and is represented as [Ei] = (V0*(KM+S))/(kcat*S) or Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration). The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place, 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 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.
How to calculate Enzyme Concentration from Michaelis Menten Kinetics equation?
The Enzyme concentration from Michaelis Menten kinetics equation formula is defined as the relation with initial reaction rate and the concentration of a substrate is calculated using Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration). To calculate Enzyme Concentration from Michaelis Menten Kinetics equation, you need Initial Reaction Rate (V0), Michaelis Constant (KM), Substrate Concentration (S) & Catalytic Rate Constant (kcat). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Substrate Concentration & Catalytic Rate 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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