Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
kfinal = (V0*(KM*(1+(I/Ki))+S))/([E0]*S)
This formula uses 7 Variables
Variables Used
Final Rate Constant for Catalysis - (Measured in 1 Per Second) - Final Rate Constant for Catalysis is the rate constant when the enzyme-substrate complex on reaction with inhibitor is converted into the enzyme catalyst and product.
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.
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.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
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.
STEP 1: Convert Input(s) to Base Unit
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)
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)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion ​here)
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kfinal = (V0*(KM*(1+(I/Ki))+S))/([E0]*S) --> (450*(3000*(1+(9000/19000))+1500))/(100000*1500)
Evaluating ... ...
kfinal = 0.0177631578947368
STEP 3: Convert Result to Output's Unit
0.0177631578947368 1 Per Second --> No Conversion Required
FINAL ANSWER
0.0177631578947368 0.017763 1 Per Second <-- Final Rate Constant for Catalysis
(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

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

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Formula

​LaTeX ​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)
kfinal = (V0*(KM*(1+(I/Ki))+S))/([E0]*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 Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis calculator uses Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration) to calculate the Final Rate Constant for Catalysis, The Final rate constant for competitive inhibition of enzyme catalysis 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. Final Rate Constant for Catalysis is denoted by kfinal symbol.

How to calculate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis using this online calculator? To use this online calculator for Final Rate Constant for Competitive Inhibition of Enzyme Catalysis, enter Initial Reaction Rate (V0), Michaelis Constant (KM), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (Ki), Substrate Concentration (S) & Initial Enzyme Concentration ([E0]) and hit the calculate button. Here is how the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis calculation can be explained with given input values -> 0.017763 = (450*(3000*(1+(9000/19000))+1500))/(100000*1500).

FAQ

What is Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?
The Final rate constant for competitive inhibition of enzyme catalysis 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 kfinal = (V0*(KM*(1+(I/Ki))+S))/([E0]*S) or Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). 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 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, The Substrate Concentration is the number of moles of substrate per liter solution & The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.
How to calculate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?
The Final rate constant for competitive inhibition of enzyme catalysis 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 Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). To calculate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis, you need Initial Reaction Rate (V0), Michaelis Constant (KM), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (Ki), Substrate Concentration (S) & Initial Enzyme Concentration ([E0]). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Inhibitor Concentration, Enzyme Inhibitor Dissociation Constant, Substrate Concentration & Initial Enzyme Concentration 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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