Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System Calculator

✖The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.ⓘ Maximum Rate [V_max]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+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 [K_M]			+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%

✖Inhibitor Concentration given Max Rate is defined as the number of moles of inhibitor present per liter of solution of the system.ⓘ Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System [I_max]

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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
I_max = (((((V_max*S)/V₀)-S)/K_M)-1)*K_i
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

I_max = (((((V_max*S)/V₀)-S)/K_M)-1)*K_i --> (((((40000*1500)/450)-1500)/3000)-1)*19000

Evaluating ... ...

I_max = 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 00.004 seconds)

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< Competitive Inhibitor Calculators

Substrate Concentration of Competitive Inhibition of Enzyme Catalysis

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

Maximum Rate given Dissociation Rate Constant

LaTeX Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration

Modifying Factor of Enzyme Substrate Complex

LaTeX Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)

Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

LaTeX Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration

Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System Formula

LaTeX Go

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 I_max 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 (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀), Michaelis Constant (K_M) & Enzyme Inhibitor Dissociation Constant (K_i) 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 I_max = (((((V_max*S)/V₀)-S)/K_M)-1)*K_i 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 (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀), Michaelis Constant (K_M) & Enzyme Inhibitor Dissociation Constant (K_i). 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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