Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
I = ((((([E0]*S)/ES)-S)/KM)-1)*Ki
This formula uses 6 Variables
Variables Used
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.
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.
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
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)
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 = ((((([E0]*S)/ES)-S)/KM)-1)*Ki --> (((((100000*1500)/10000)-1500)/3000)-1)*19000
Evaluating ... ...
I = 66500
STEP 3: Convert Result to Output's Unit
66500 Mole per Cubic Meter -->66.5 Mole per Liter (Check conversion ​here)
FINAL ANSWER
66.5 Mole per Liter <-- Inhibitor Concentration
(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai
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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

Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

​LaTeX ​Go
Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
I = ((((([E0]*S)/ES)-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 Enzyme Substrate Complex Concentration?

Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration calculator uses Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant to calculate the Inhibitor Concentration, The Inhibitor concentration 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. Inhibitor Concentration is denoted by I symbol.

How to calculate Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration using this online calculator? To use this online calculator for Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration, enter Initial Enzyme Concentration ([E0]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Michaelis Constant (KM) & Enzyme Inhibitor Dissociation Constant (Ki) and hit the calculate button. Here is how the Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration calculation can be explained with given input values -> 0.0665 = (((((100000*1500)/10000)-1500)/3000)-1)*19000.

FAQ

What is Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration?
The Inhibitor concentration 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 I = ((((([E0]*S)/ES)-S)/KM)-1)*Ki or Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*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 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 Enzyme Substrate Complex Concentration?
The Inhibitor concentration 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 Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant. To calculate Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration, you need Initial Enzyme Concentration ([E0]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Michaelis Constant (KM) & Enzyme Inhibitor Dissociation Constant (Ki). With our tool, you need to enter the respective value for Initial Enzyme Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration, 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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