Enzyme Concentration from Michaelis Menten Kinetics equation Calculator

✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+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 Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+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%

✖Initial Concentration of Enzyme is defined as the concentration of enzyme at the start of the reaction.ⓘ Enzyme Concentration from Michaelis Menten Kinetics equation [[E_i]]

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Formula

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Enzyme Concentration from Michaelis Menten Kinetics equation

Formula

[E i] = \frac{V 0 \cdot (K M + S)}{k cat \cdot S}

Example

2.076923 mol/L = \frac{0.45 mol/L*s \cdot (3 mol/L + 1.5 mol/L)}{0.65 s⁻¹ \cdot 1.5 mol/L}

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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)
[E_i] = (V₀*(K_M+S))/(k_cat*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

[E_i] = (V₀*(K_M+S))/(k_cat*S) --> (450*(3000+1500))/(0.65*1500)

Evaluating ... ...

[E_i] = 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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< 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)

< Important Formulas on Enzyme Kinetics Calculators

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

Modifying Factor of Enzyme Substrate Complex

Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)

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

Enzyme Concentration from Michaelis Menten Kinetics equation Formula

Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
[E_i] = (V₀*(K_M+S))/(k_cat*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 [E_i] 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 (K_M), Substrate Concentration (S) & Catalytic Rate Constant (k_cat) 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 [E_i] = (V₀*(K_M+S))/(k_cat*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 (K_M), Substrate Concentration (S) & Catalytic Rate Constant (k_cat). 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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