Michaelis Constant 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 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 Constant in Competitive Inhibition given Maximum Rate of System [K_M]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemical Kinetics Formula PDF PDF Image

Michaelis Constant in Competitive Inhibition given Maximum Rate of System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
K_M = (((V_max*S)/V₀)-S)/(1+(I/K_i))
This formula uses 6 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.
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.
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

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)
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 = (((V_max*S)/V₀)-S)/(1+(I/K_i)) --> (((40000*1500)/450)-1500)/(1+(9000/19000))

Evaluating ... ...

K_M = 89458.3333333333

STEP 3: Convert Result to Output's Unit

89458.3333333333 Mole per Cubic Meter -->89.4583333333333 Mole per Liter (Check conversion here)

FINAL ANSWER

89.4583333333333 ≈ 89.45833 Mole per Liter <-- Michaelis Constant

(Calculation completed in 00.020 seconds)

You are here -

Home » Chemistry » Chemical Kinetics » Enzyme Kinetics » Competitive Inhibitor » Michaelis Constant in Competitive Inhibition given Maximum Rate of System

Credits

Created by Prashant Singh

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

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 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

Michaelis Constant 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 Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

Michaelis Constant in Competitive Inhibition given Maximum Rate of System calculator uses Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to calculate the Michaelis Constant, The Michaelis constant 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. Michaelis Constant is denoted by K_M symbol.

How to calculate Michaelis Constant in Competitive Inhibition given Maximum Rate of System using this online calculator? To use this online calculator for Michaelis Constant in Competitive Inhibition given Maximum Rate of System, enter Maximum Rate (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) and hit the calculate button. Here is how the Michaelis Constant in Competitive Inhibition given Maximum Rate of System calculation can be explained with given input values -> 0.089458 = (((40000*1500)/450)-1500)/(1+(9000/19000)).

FAQ

What is Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

The Michaelis constant 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 K_M = (((V_max*S)/V₀)-S)/(1+(I/K_i)) or Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/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 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 Constant in Competitive Inhibition given Maximum Rate of System?

The Michaelis constant 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 Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). To calculate Michaelis Constant in Competitive Inhibition given Maximum Rate of System, you need Maximum Rate (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i). With our tool, you need to enter the respective value for Maximum Rate, Substrate Concentration, Initial Reaction Rate, 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 Maximum Rate, Substrate Concentration, Initial Reaction Rate, Inhibitor Concentration & Enzyme Inhibitor Dissociation Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))

Home

FREE PDFs

🔍 Search