Initial Rate in Competitive Inhibition given Maximum Rate of system Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
VCI = (Vmax*S)/(KM*(1+(I/Ki))+S)
This formula uses 6 Variables
Variables Used
Initial Reaction Rate in CI - (Measured in Mole per Cubic Meter Second) - Initial Reaction Rate in CI is defined as the initial speed at which a chemical reaction takes place.
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.
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.
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)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (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
VCI = (Vmax*S)/(KM*(1+(I/Ki))+S) --> (40000*1500)/(3000*(1+(9000/19000))+1500)
Evaluating ... ...
VCI = 10133.3333333333
STEP 3: Convert Result to Output's Unit
10133.3333333333 Mole per Cubic Meter Second -->10.1333333333333 Mole per Liter Second (Check conversion ​here)
FINAL ANSWER
10.1333333333333 10.13333 Mole per Liter Second <-- Initial Reaction Rate in CI
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has created this Calculator and 700+ more calculators!
Verifier Image
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

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

Initial Rate in Competitive Inhibition given Maximum Rate of system Formula

​LaTeX ​Go
Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
VCI = (Vmax*S)/(KM*(1+(I/Ki))+S)

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 Initial Rate in Competitive Inhibition given Maximum Rate of system?

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

How to calculate Initial Rate in Competitive Inhibition given Maximum Rate of system using this online calculator? To use this online calculator for Initial Rate in Competitive Inhibition given Maximum Rate of system, enter Maximum Rate (Vmax), Substrate Concentration (S), Michaelis Constant (KM), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (Ki) and hit the calculate button. Here is how the Initial Rate in Competitive Inhibition given Maximum Rate of system calculation can be explained with given input values -> 0.010133 = (40000*1500)/(3000*(1+(9000/19000))+1500).

FAQ

What is Initial Rate in Competitive Inhibition given Maximum Rate of system?
The Initial rate 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 VCI = (Vmax*S)/(KM*(1+(I/Ki))+S) or Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration). 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 Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system, 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 Initial Rate in Competitive Inhibition given Maximum Rate of system?
The Initial rate 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 Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration). To calculate Initial Rate in Competitive Inhibition given Maximum Rate of system, you need Maximum Rate (Vmax), Substrate Concentration (S), Michaelis Constant (KM), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (Ki). With our tool, you need to enter the respective value for Maximum Rate, Substrate Concentration, Michaelis Constant, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!