Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Calculator

✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration [[E₀]]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%
✖The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.ⓘ Enzyme Substrate Complex Concentration [ES]			+10% -10%
✖The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.ⓘ Inhibitor Concentration [I]			+10% -10%
✖The Enzyme Inhibitor Dissociation Constant is measured by the method in which the inhibitor is titrated into a solution of enzyme and the heat released or absorbed is measured.ⓘ Enzyme Inhibitor Dissociation Constant [K_i]			+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 in Competitive Inhibition given Enzyme Substrate Complex Concentration [K_M]

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Formula

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Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration

Formula

K M = \frac{(\frac{[E 0] \cdot S}{ES}) - S}{1 + (\frac{I}{K i})}

Example

9.160714 mol/L = \frac{(\frac{100 mol/L \cdot 1.5 mol/L}{10 mol/L}) - 1.5 mol/L}{1 + (\frac{9 mol/L}{19 mol/L})}

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Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
K_M = ((([E₀]*S)/ES)-S)/(1+(I/K_i))
This formula uses 6 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.
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.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Enzyme Substrate Complex Concentration - (Measured in Mole per Cubic Meter) - The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.
Inhibitor Concentration - (Measured in Mole per Cubic Meter) - The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.
Enzyme Inhibitor Dissociation Constant - (Measured in Mole per Cubic Meter) - The Enzyme Inhibitor Dissociation Constant is measured by the method in which the inhibitor is titrated into a solution of enzyme and the heat released or absorbed is measured.

STEP 1: Convert Input(s) to Base Unit

Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)
Enzyme Substrate Complex Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Inhibitor Concentration: 9 Mole per Liter --> 9000 Mole per Cubic Meter (Check conversion here)
Enzyme Inhibitor Dissociation Constant: 19 Mole per Liter --> 19000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_M = ((([E₀]*S)/ES)-S)/(1+(I/K_i)) --> (((100000*1500)/10000)-1500)/(1+(9000/19000))

Evaluating ... ...

K_M = 9160.71428571429

STEP 3: Convert Result to Output's Unit

9160.71428571429 Mole per Cubic Meter -->9.16071428571429 Mole per Liter (Check conversion here)

FINAL ANSWER

9.16071428571429 ≈ 9.160714 Mole per Liter <-- Michaelis Constant

(Calculation completed in 00.004 seconds)

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< Competitive Inhibitor Calculators

Substrate Concentration of Competitive Inhibition of Enzyme Catalysis

Go Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Final Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)

Substrate Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration

Go Substrate Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Initial Enzyme Concentration)-Enzyme Substrate Complex Concentration)

Substrate Concentration in Competitive Inhibition given Maximum Rate of System

Go Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate)

Apparent Value of Michaelis Menten Constant in Presence of Competitive Inhibition

Go Apparent 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

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

What is competitive Inhibition?

In competitive inhibition, the substrate and inhibitor cannot bind to the enzyme at the same time,this usually results from the inhibitor having an affinity for the active site of an enzyme where the substrate also binds; the substrate and inhibitor compete for access to the enzyme's active site.This type of inhibition can overcome by sufficiently high concentrations of substrate (Vmax remains constant), i.e., by out-competing the inhibitor. However, the apparent Km will increase as it takes a higher concentration of the substrate to reach the Km point, or half the Vmax. Competitive inhibitors are often similar in structure to the real substrate.

How to Calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration calculator uses Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to calculate the Michaelis Constant, The Michaelis constant in competitive inhibition given enzyme substrate complex concentration formula is defined as a plot of the reaction velocity (V0) associated with the concentration [S] of the substrate can then be used to determine values such as Vmax, initial velocity, and Km. Michaelis Constant is denoted by K_M symbol.

How to calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration using this online calculator? To use this online calculator for Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration, enter Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) and hit the calculate button. Here is how the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration calculation can be explained with given input values -> 0.009161 = (((100000*1500)/10000)-1500)/(1+(9000/19000)).

FAQ

What is Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

The Michaelis constant in competitive inhibition given enzyme substrate complex concentration formula is defined as a plot of the reaction velocity (V0) associated with the concentration [S] of the substrate can then be used to determine values such as Vmax, initial velocity, and Km and is represented as K_M = ((([E₀]*S)/ES)-S)/(1+(I/K_i)) or Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction, The Substrate Concentration is the number of moles of substrate per liter solution, The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate, The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system & The Enzyme Inhibitor Dissociation Constant is measured by the method in which the inhibitor is titrated into a solution of enzyme and the heat released or absorbed is measured.

How to calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

The Michaelis constant in competitive inhibition given enzyme substrate complex concentration formula is defined as a plot of the reaction velocity (V0) associated with the concentration [S] of the substrate can then be used to determine values such as Vmax, initial velocity, and Km is calculated using Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). To calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration, you need Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i). With our tool, you need to enter the respective value for Initial Enzyme Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration, Inhibitor Concentration & Enzyme Inhibitor Dissociation 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 Michaelis Constant?

In this formula, Michaelis Constant uses Initial Enzyme Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration, Inhibitor Concentration & Enzyme Inhibitor Dissociation Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -

Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant

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