Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Imax = (((((Vmax*S)/V0)-S)/KM)-1)*Ki
This formula uses 6 Variables
Variables Used
Inhibitor Concentration given Max Rate - (Measured in Mole per Cubic Meter) - Inhibitor Concentration given Max Rate is defined as the number of moles of inhibitor present per liter of solution of the system.
Maximum Rate - (Measured in Mole per Cubic Meter Second) - The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
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.
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
Maximum Rate: 40 Mole per Liter Second --> 40000 Mole per Cubic Meter Second (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 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)
Michaelis Constant: 3 Mole per Liter --> 3000 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
Imax = (((((Vmax*S)/V0)-S)/KM)-1)*Ki --> (((((40000*1500)/450)-1500)/3000)-1)*19000
Evaluating ... ...
Imax = 815944.444444444
STEP 3: Convert Result to Output's Unit
815944.444444444 Mole per Cubic Meter -->815.944444444444 Mole per Liter (Check conversion here)
FINAL ANSWER
815.944444444444 815.9444 Mole per Liter <-- Inhibitor Concentration given Max Rate
(Calculation completed in 00.020 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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23 Competitive Inhibitor Calculators

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis
Go Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
Inhibitor Concentration for Competitive Inhibition of Enzyme Catalysis
Go Inhibitor Concentration given IEC = (((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Enzyme Concentration of Competitive Inhibition of Enzyme Catalysis
Go Initial Enzyme Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Final Rate Constant*Substrate Concentration)
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)
Dissociation Constant for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)
Michaelis Constant for Competitive Inhibition of Enzyme Catalysis
Go Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Initial Rate of System of Competitive Inhibition of Enzyme Catalysis
Go Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Substrate Concentration given Modifying Factor in Michaelis Menten Equation
Go Substrate Concentration = (Initial Reaction Rate*(Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Michaelis Constant)/(((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-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)
Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Initial Enzyme in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Initial Enzyme Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Substrate Concentration)
Enzyme Substrate Complex Concentration for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Substrate Complex Concentration = (Substrate Concentration*Initial Enzyme Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System
Go Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Rate in Competitive Inhibition given Maximum Rate of system
Go Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Dissociation Constant in Competitive Inhibition given Maximum Rate of System
Go Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)
Michaelis Constant in Competitive Inhibition given Maximum Rate of System
Go Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
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
Substrate Concentration given Apparent value of Michaelis Menten Constant
Go Substrate Concentration = (Apparent Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
Dissociation Constant of Enzyme Substrate Complex given Modifying Factor of Enzyme Substrate
Go Enzyme Substrate Dissociation Constant = Inhibitor Concentration/(Enzyme Substrate Modifying Factor-1)
Dissociation Constant of Enzyme given Modifying Factor of Enzyme
Go Enzyme Inhibitor Dissociation Constant given MF = Inhibitor Concentration/(Enzyme Modifying Factor-1)
Modifying Factor of Enzyme
Go Enzyme Modifying Factor = 1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)

25 Important Formulas on Enzyme Kinetics Calculators

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis
Go Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
Inhibitor Concentration for Competitive Inhibition of Enzyme Catalysis
Go Inhibitor Concentration given IEC = (((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Enzyme Substrate Complex Concentration for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Substrate Complex Concentration = (Substrate Concentration*Initial Enzyme Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System
Go Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Rate in Competitive Inhibition given Maximum Rate of system
Go Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants
Go Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration)
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)
Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration
Go Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Initial Enzyme Concentration given Dissociation Rate Constant
Go Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)
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
Inhibitor Concentration given Apparent Initial Enzyme Concentration
Go Inhibitor Concentration for CI = ((Initial Enzyme Concentration/Apparent Initial Enzyme Concentration)-1)*Enzyme Inhibitor Dissociation Constant
Initial Concentration of Enzyme in presence of Inhibitor by Enzyme Conservation Law
Go Enzyme Concentration Initially = (Catalyst Concentration+Enzyme Substrate Complex Concentration+Enzyme Inhibitor Complex Concentration)
Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants
Go Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant
Inhibitor Concentration given Enzyme Substrate Modifying Factor
Go Inhibitor Concentration = (Enzyme Substrate Modifying Factor-1)*Enzyme Substrate Dissociation Constant
Modifying Factor of Enzyme Substrate Complex
Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)
Dissociation Constant of Enzyme given Modifying Factor of Enzyme
Go Enzyme Inhibitor Dissociation Constant given MF = Inhibitor Concentration/(Enzyme Modifying Factor-1)
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
Forward Rate Constant given Dissociation Rate Constant
Go Forward Rate Constant = (Reverse Rate Constant/Dissociation Rate Constant)
Dissociation Rate Constant in Enzymatic Reaction Mechanism
Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant
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 Concentration in Competitive Inhibition given Maximum Rate of System Formula

Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Imax = (((((Vmax*S)/V0)-S)/KM)-1)*Ki

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 Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System?

Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System calculator uses Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant to calculate the Inhibitor Concentration given Max Rate, The Inhibitor concentration in competitive inhibition given maximum rate of system 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. Inhibitor Concentration given Max Rate is denoted by Imax symbol.

How to calculate Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System using this online calculator? To use this online calculator for Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System, enter Maximum Rate (Vmax), Substrate Concentration (S), Initial Reaction Rate (V0), Michaelis Constant (KM) & Enzyme Inhibitor Dissociation Constant (Ki) and hit the calculate button. Here is how the Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System calculation can be explained with given input values -> 0.815944 = (((((40000*1500)/450)-1500)/3000)-1)*19000.

FAQ

What is Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System?
The Inhibitor concentration in competitive inhibition given maximum rate of system 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 Imax = (((((Vmax*S)/V0)-S)/KM)-1)*Ki or Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant. The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration, The Substrate Concentration is the number of moles of substrate per liter solution, 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 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 Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System?
The Inhibitor concentration in competitive inhibition given maximum rate of system 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 Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant. To calculate Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System, you need Maximum Rate (Vmax), Substrate Concentration (S), Initial Reaction Rate (V0), Michaelis Constant (KM) & Enzyme Inhibitor Dissociation Constant (Ki). With our tool, you need to enter the respective value for Maximum Rate, Substrate Concentration, Initial Reaction Rate, Michaelis Constant & 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.
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