Michaelis Menten constant given Apparent Michaelis Menten Constant Calculator

✖The Apparent Michaelis Constant is defined as the Michaelis–Menten constant in the presence of a competitive inhibitor.ⓘ Apparent Michaelis Constant [Km^app]			+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 Menten constant given Apparent Michaelis Menten Constant [K_M]

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Formula

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Michaelis Menten constant given Apparent Michaelis Menten Constant

Formula

`"K"_{"M"} = "Km"^{"app"}/(1+("I"/"K"_{"i"}))`

Example

`"8.142857mol/L"="12mol/L"/(1+("9mol/L"/"19mol/L"))`

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Michaelis Menten constant given Apparent Michaelis Menten Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
K_M = Km^app/(1+(I/K_i))
This formula uses 4 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.
Apparent Michaelis Constant - (Measured in Mole per Cubic Meter) - The Apparent Michaelis Constant is defined as the Michaelis–Menten constant in the presence of a competitive inhibitor.
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

Apparent Michaelis Constant: 12 Mole per Liter --> 12000 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 = Km^app/(1+(I/K_i)) --> 12000/(1+(9000/19000))

Evaluating ... ...

K_M = 8142.85714285714

STEP 3: Convert Result to Output's Unit

8142.85714285714 Mole per Cubic Meter -->8.14285714285714 Mole per Liter (Check conversion here)

FINAL ANSWER

8.14285714285714 ≈ 8.142857 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 Menten constant given Apparent Michaelis Menten Constant Formula

Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
K_M = Km^app/(1+(I/K_i))

What is competitive Inhibition?

In competitive inhibition, the substrate and inhibitor cannot bind to the enzyme at the same time, as shown in the figure on the right. 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 be 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 Menten constant given Apparent Michaelis Menten Constant?

Michaelis Menten constant given Apparent Michaelis Menten Constant calculator uses Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to calculate the Michaelis Constant, The Michaelis Menten constant given apparent Michaelis Menten constant formula is defined as the relation with inhibitor's dissociation constant and with the inhibitor concentration. Michaelis Constant is denoted by K_M symbol.

How to calculate Michaelis Menten constant given Apparent Michaelis Menten Constant using this online calculator? To use this online calculator for Michaelis Menten constant given Apparent Michaelis Menten Constant, enter Apparent Michaelis Constant (Km^app), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) and hit the calculate button. Here is how the Michaelis Menten constant given Apparent Michaelis Menten Constant calculation can be explained with given input values -> 0.008143 = 12000/(1+(9000/19000)).

FAQ

What is Michaelis Menten constant given Apparent Michaelis Menten Constant?

The Michaelis Menten constant given apparent Michaelis Menten constant formula is defined as the relation with inhibitor's dissociation constant and with the inhibitor concentration and is represented as K_M = Km^app/(1+(I/K_i)) or Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). The Apparent Michaelis Constant is defined as the Michaelis–Menten constant in the presence of a competitive inhibitor, 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 Menten constant given Apparent Michaelis Menten Constant?

The Michaelis Menten constant given apparent Michaelis Menten constant formula is defined as the relation with inhibitor's dissociation constant and with the inhibitor concentration is calculated using Michaelis Constant = Apparent Michaelis Constant/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). To calculate Michaelis Menten constant given Apparent Michaelis Menten Constant, you need Apparent Michaelis Constant (Km^app), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i). With our tool, you need to enter the respective value for Apparent Michaelis Constant, 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 Apparent Michaelis Constant, Inhibitor Concentration & Enzyme Inhibitor Dissociation Constant. 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 = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-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)

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