Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Calculator

✖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%
✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration [[E₀]]			+10% -10%
✖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 given Catalytic Rate Constant and Initial Enzyme Concentration [K_M]

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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
K_M = (S*((k_cat*[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

K_M = (S*((k_cat*[E₀])-V₀))/V₀ --> (1500*((0.65*100000)-450))/450

Evaluating ... ...

K_M = 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 00.020 seconds)

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< Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

LaTeX 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

LaTeX Go Maximum Rate = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/Substrate Concentration

Substrate Concentration from Michaelis Menten Kinetics Equation

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

Michaelis Constant from Michaelis Menten kinetics equation

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

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Formula

LaTeX Go

Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate
K_M = (S*((k_cat*[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 K_M 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 (k_cat), 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 K_M = (S*((k_cat*[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 (k_cat), 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 3 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

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