Initial Enzyme Concentration given Rate Constant and Maximum Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Enzyme Concentration = Maximum Rate/Final Rate Constant
[E0] = Vmax/k2
This formula uses 3 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Rate: 40 Mole per Liter Second --> 40000 Mole per Cubic Meter Second (Check conversion here)
Final Rate Constant: 23 1 Per Second --> 23 1 Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
[E0] = Vmax/k2 --> 40000/23
Evaluating ... ...
[E0] = 1739.13043478261
STEP 3: Convert Result to Output's Unit
1739.13043478261 Mole per Cubic Meter -->1.73913043478261 Mole per Liter (Check conversion here)
FINAL ANSWER
1.73913043478261 1.73913 Mole per Liter <-- Initial Enzyme Concentration
(Calculation completed in 00.004 seconds)

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21 Complex Concentration Calculators

Enzyme Substrate Complex Concentration in Instantaneous Chemical Equilibrium
Go Enzyme Substrate Complex Concentration = (Forward Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Reverse Rate Constant+(Forward Rate Constant*Substrate Concentration))
Initial Enzyme Concentration in Enzymatic Reaction Mechanism
Go Initial Enzyme Concentration = ((Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration))+Enzyme Substrate Complex Concentration
Substrate Concentration in Enzymatic Reaction Mechanism
Go Substrate Concentration = (Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))
Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants
Go Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration)
Substrate Concentration given Forward, Reverse, and Catalytic Rate Constants
Go Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration)
Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants
Go Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants
Go Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration
Go Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Substrate Concentration given Dissociation Rate Constant
Go Substrate Concentration = (Dissociation Rate Constant*Enzyme Substrate Complex Concentration)/(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration)
Initial Enzyme Concentration given Dissociation Rate Constant
Go Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)
Enzyme Substrate Complex Concentration given Dissociation Rate Constant
Go Enzyme Substrate Complex Concentration = (Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
Substrate Concentration if Michaelis Constant is very Large than Substrate Concentration
Go Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Initial Enzyme Concentration)
Initial Enzyme Concentration at Low Substrate Concentration
Go Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
Inhibitor Concentration given Apparent Initial Enzyme Concentration
Go Inhibitor Concentration for CI = ((Initial Enzyme Concentration/Apparent Initial Enzyme Concentration)-1)*Enzyme Inhibitor Dissociation Constant
Substrate Concentration given Maximum Rate and Dissociation Rate Constant
Go Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
Substrate Concentration given Maximum Rate at Low Concentration
Go Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/Maximum Rate
Inhibitor Concentration given Modifying Factor of Enzyme Substrate Complex
Go Inhibitor Concentration = (Enzyme Substrate Modifying Factor-1)*Enzyme Substrate Dissociation Constant
Inhibitor Concentration given Enzyme Substrate Modifying Factor
Go Inhibitor Concentration = (Enzyme Substrate Modifying Factor-1)*Enzyme Substrate Dissociation Constant
Inhibitor Concentration given Modifying Factor of Enzyme
Go Inhibitor Concentration = (Enzyme Modifying Factor-1)*Enzyme Inhibitor Dissociation Constant
Enzyme Substrate Complex Concentration given Rate Constant and Initial Rate
Go Enzyme Inhibitor Complex Concentration = (Initial Reaction Rate/Final Rate Constant)
Initial Enzyme Concentration given Rate Constant and Maximum Rate
Go Initial Enzyme Concentration = Maximum Rate/Final Rate Constant

Initial Enzyme Concentration given Rate Constant and Maximum Rate Formula

Initial Enzyme Concentration = Maximum Rate/Final Rate Constant
[E0] = Vmax/k2

What is competitive Inhibition?

In competitive inhibition, the substrate and inhibitor cannot bind to the enzyme at the same time, as shown in the figure on the right. 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 be 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 Enzyme Concentration given Rate Constant and Maximum Rate?

Initial Enzyme Concentration given Rate Constant and Maximum Rate calculator uses Initial Enzyme Concentration = Maximum Rate/Final Rate Constant to calculate the Initial Enzyme Concentration, The Initial enzyme concentration given rate constant and maximum rate formula is defined as the ratio of the maximum rate of the system to the rate constant of the reaction converting enzyme-substrate intermediate to the product. Initial Enzyme Concentration is denoted by [E0] symbol.

How to calculate Initial Enzyme Concentration given Rate Constant and Maximum Rate using this online calculator? To use this online calculator for Initial Enzyme Concentration given Rate Constant and Maximum Rate, enter Maximum Rate (Vmax) & Final Rate Constant (k2) and hit the calculate button. Here is how the Initial Enzyme Concentration given Rate Constant and Maximum Rate calculation can be explained with given input values -> 0.001739 = 40000/23.

FAQ

What is Initial Enzyme Concentration given Rate Constant and Maximum Rate?
The Initial enzyme concentration given rate constant and maximum rate formula is defined as the ratio of the maximum rate of the system to the rate constant of the reaction converting enzyme-substrate intermediate to the product and is represented as [E0] = Vmax/k2 or Initial Enzyme Concentration = Maximum Rate/Final Rate Constant. The Maximum Rate is defined as the maximum speed achieved by the system at saturated 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.
How to calculate Initial Enzyme Concentration given Rate Constant and Maximum Rate?
The Initial enzyme concentration given rate constant and maximum rate formula is defined as the ratio of the maximum rate of the system to the rate constant of the reaction converting enzyme-substrate intermediate to the product is calculated using Initial Enzyme Concentration = Maximum Rate/Final Rate Constant. To calculate Initial Enzyme Concentration given Rate Constant and Maximum Rate, you need Maximum Rate (Vmax) & Final Rate Constant (k2). With our tool, you need to enter the respective value for Maximum Rate & Final Rate 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 Initial Enzyme Concentration?
In this formula, Initial Enzyme Concentration uses Maximum Rate & Final Rate Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
  • Initial Enzyme Concentration = ((Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration))+Enzyme Substrate Complex Concentration
  • Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
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