Initial Rate of System of Competitive Inhibition of Enzyme Catalysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
V0 = (k2*[E0]*S)/(KM*(1+(I/Ki))+S)
This formula uses 7 Variables
Variables Used
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.
Final Rate Constant - (Measured in 1 Per Second) - The Final Rate Constant is the rate constant when the enzyme-substrate complex on reaction with inhibitor is converted into the enzyme catalyst and product.
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.
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
Final Rate Constant: 23 1 Per Second --> 23 1 Per Second No Conversion Required
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)
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
V0 = (k2*[E0]*S)/(KM*(1+(I/Ki))+S) --> (23*100000*1500)/(3000*(1+(9000/19000))+1500)
Evaluating ... ...
V0 = 582666.666666667
STEP 3: Convert Result to Output's Unit
582666.666666667 Mole per Cubic Meter Second -->582.666666666667 Mole per Liter Second (Check conversion here)
FINAL ANSWER
582.666666666667 582.6667 Mole per Liter Second <-- Initial Reaction Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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23 Competitive Inhibitor Calculators

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis
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)
Inhibitor Concentration for Competitive Inhibition of Enzyme Catalysis
Go Inhibitor Concentration given IEC = (((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Enzyme Concentration of Competitive Inhibition of Enzyme Catalysis
Go Initial Enzyme Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Final Rate Constant*Substrate Concentration)
Substrate Concentration of Competitive Inhibition of Enzyme Catalysis
Go Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Final Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Dissociation Constant for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)
Michaelis Constant for Competitive Inhibition of Enzyme Catalysis
Go Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Initial Rate of System of Competitive Inhibition of Enzyme Catalysis
Go Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Substrate Concentration given Modifying Factor in Michaelis Menten Equation
Go Substrate Concentration = (Initial Reaction Rate*(Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Michaelis Constant)/(((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)
Substrate Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Substrate Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Initial Enzyme Concentration)-Enzyme Substrate Complex Concentration)
Inhibitor Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Inhibitor Concentration = (((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Initial Enzyme in Competitive Inhibition given Enzyme Substrate Complex Concentration
Go Initial Enzyme Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Substrate Concentration)
Enzyme Substrate Complex Concentration for Competitive Inhibition of Enzyme Catalysis
Go Enzyme Substrate Complex Concentration = (Substrate Concentration*Initial Enzyme Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Inhibitor Concentration in Competitive Inhibition given Maximum Rate of System
Go Inhibitor Concentration given Max Rate = (((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)*Enzyme Inhibitor Dissociation Constant
Initial Rate in Competitive Inhibition given Maximum Rate of system
Go Initial Reaction Rate in CI = (Maximum Rate*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
Dissociation Constant in Competitive Inhibition given Maximum Rate of System
Go Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)
Michaelis Constant in Competitive Inhibition given Maximum Rate of System
Go Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Substrate Concentration in Competitive Inhibition given Maximum Rate of System
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
Go Apparent Michaelis Constant = (Substrate Concentration*(Maximum Rate-Initial Reaction Rate))/Initial Reaction Rate
Substrate Concentration given Apparent value of Michaelis Menten Constant
Go Substrate Concentration = (Apparent Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
Dissociation Constant of Enzyme Substrate Complex given Modifying Factor of Enzyme Substrate
Go Enzyme Substrate Dissociation Constant = Inhibitor Concentration/(Enzyme Substrate Modifying Factor-1)
Dissociation Constant of Enzyme given Modifying Factor of Enzyme
Go Enzyme Inhibitor Dissociation Constant given MF = Inhibitor Concentration/(Enzyme Modifying Factor-1)
Modifying Factor of Enzyme
Go Enzyme Modifying Factor = 1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)

Initial Rate of System of Competitive Inhibition of Enzyme Catalysis Formula

Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration)
V0 = (k2*[E0]*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 of System of Competitive Inhibition of Enzyme Catalysis?

Initial Rate of System of Competitive Inhibition of Enzyme Catalysis calculator uses Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration) to calculate the Initial Reaction Rate, The Initial rate of system of 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. Initial Reaction Rate is denoted by V0 symbol.

How to calculate Initial Rate of System of Competitive Inhibition of Enzyme Catalysis using this online calculator? To use this online calculator for Initial Rate of System of Competitive Inhibition of Enzyme Catalysis, enter Final Rate Constant (k2), Initial Enzyme Concentration ([E0]), 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 of System of Competitive Inhibition of Enzyme Catalysis calculation can be explained with given input values -> 0.582667 = (23*100000*1500)/(3000*(1+(9000/19000))+1500).

FAQ

What is Initial Rate of System of Competitive Inhibition of Enzyme Catalysis?
The Initial rate of system of 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 V0 = (k2*[E0]*S)/(KM*(1+(I/Ki))+S) or Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration). The Final Rate Constant is the rate constant when the enzyme-substrate complex on reaction with inhibitor is converted into the enzyme catalyst and product, 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 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 of System of Competitive Inhibition of Enzyme Catalysis?
The Initial rate of system of 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 Initial Reaction Rate = (Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration). To calculate Initial Rate of System of Competitive Inhibition of Enzyme Catalysis, you need Final Rate Constant (k2), Initial Enzyme Concentration ([E0]), 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 Final Rate Constant, Initial Enzyme Concentration, 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.
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