Inhibitor's Dissociation Constant given Michaelis Menten Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Apparent Michaelis Constant/Michaelis Constant)-1))
Ki = (I/((Kmapp/KM)-1))
This formula uses 4 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Inhibitor Concentration: 9 Mole per Liter --> 9000 Mole per Cubic Meter (Check conversion here)
Apparent Michaelis Constant: 12 Mole per Liter --> 12000 Mole per Cubic Meter (Check conversion here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ki = (I/((Kmapp/KM)-1)) --> (9000/((12000/3000)-1))
Evaluating ... ...
Ki = 3000
STEP 3: Convert Result to Output's Unit
3000 Mole per Cubic Meter -->3 Mole per Liter (Check conversion here)
FINAL ANSWER
3 Mole per Liter <-- Enzyme Inhibitor Dissociation 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

Inhibitor's Dissociation Constant given Michaelis Menten Constant Formula

Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Apparent Michaelis Constant/Michaelis Constant)-1))
Ki = (I/((Kmapp/KM)-1))

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 Inhibitor's Dissociation Constant given Michaelis Menten Constant?

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

How to calculate Inhibitor's Dissociation Constant given Michaelis Menten Constant using this online calculator? To use this online calculator for Inhibitor's Dissociation Constant given Michaelis Menten Constant, enter Inhibitor Concentration (I), Apparent Michaelis Constant (Kmapp) & Michaelis Constant (KM) and hit the calculate button. Here is how the Inhibitor's Dissociation Constant given Michaelis Menten Constant calculation can be explained with given input values -> 0.003 = (9000/((12000/3000)-1)).

FAQ

What is Inhibitor's Dissociation Constant given Michaelis Menten Constant?
The Inhibitor's dissociation constant given Michaelis Menten constant formula is defined as the relation with Michaelis constant and apparent Michaelis constant and with the inhibitor concentration and is represented as Ki = (I/((Kmapp/KM)-1)) or Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Apparent Michaelis Constant/Michaelis Constant)-1)). The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system, The Apparent Michaelis Constant is defined as the Michaelis–Menten constant in the presence of a competitive inhibitor & The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.
How to calculate Inhibitor's Dissociation Constant given Michaelis Menten Constant?
The Inhibitor's dissociation constant given Michaelis Menten constant formula is defined as the relation with Michaelis constant and apparent Michaelis constant and with the inhibitor concentration is calculated using Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Apparent Michaelis Constant/Michaelis Constant)-1)). To calculate Inhibitor's Dissociation Constant given Michaelis Menten Constant, you need Inhibitor Concentration (I), Apparent Michaelis Constant (Kmapp) & Michaelis Constant (KM). With our tool, you need to enter the respective value for Inhibitor Concentration, Apparent Michaelis Constant & Michaelis 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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