Initial Enzyme Concentration given Dissociation Rate Constant Calculator

✖The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.ⓘ Enzyme Substrate Complex Concentration [ES]			+10% -10%
✖The Dissociation Rate Constant is the ratio of reverse and forward rate constant.ⓘ Dissociation Rate Constant [K_D]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%

✖Enzyme Concentration Initially is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration given Dissociation Rate Constant [[E_initial]]

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Formula

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Initial Enzyme Concentration given Dissociation Rate Constant

Formula

`("[E"_{"initial"}"]") = ("ES"*("K"_{"D"}+"S"))/("S")`

Example

`"48mol/L"=("10mol/L"*("5.7mol/L"+"1.5mol/L"))/("1.5mol/L")`

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Initial Enzyme Concentration given Dissociation Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)
[E_initial] = (ES*(K_D+S))/(S)
This formula uses 4 Variables

Variables Used

Enzyme Concentration Initially - (Measured in Mole per Cubic Meter) - Enzyme Concentration Initially is defined as the concentration of enzyme at the start of the reaction.
Enzyme Substrate Complex Concentration - (Measured in Mole per Cubic Meter) - The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.
Dissociation Rate Constant - (Measured in Mole per Cubic Meter) - The Dissociation Rate Constant is the ratio of reverse and forward rate constant.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.

STEP 1: Convert Input(s) to Base Unit

Enzyme Substrate Complex Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Dissociation Rate Constant: 5.7 Mole per Liter --> 5700 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[E_initial] = (ES*(K_D+S))/(S) --> (10000*(5700+1500))/(1500)

Evaluating ... ...

[E_initial] = 48000

STEP 3: Convert Result to Output's Unit

48000 Mole per Cubic Meter -->48 Mole per Liter (Check conversion here)

FINAL ANSWER

48 Mole per Liter <-- Enzyme Concentration Initially

(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

< 25 Important Formulas on Enzyme Kinetics 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

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))

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)

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)

Catalytic Rate Constant from Michaelis Menten Kinetics Equation

Go Catalytic Rate Constant for MM = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)

Enzyme Concentration from Michaelis Menten Kinetics equation

Go Initial Concentration of Enzyme = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)

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)

Initial Enzyme Concentration given Dissociation Rate Constant

Go Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)

Initial Reaction Rate given Dissociation Rate Constant

Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

Maximum Rate given Dissociation Rate Constant

Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/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

Initial Concentration of Enzyme in presence of Inhibitor by Enzyme Conservation Law

Go Enzyme Concentration Initially = (Catalyst Concentration+Enzyme Substrate Complex Concentration+Enzyme Inhibitor Complex Concentration)

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants

Go Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant

Inhibitor Concentration given Enzyme Substrate Modifying Factor

Go Inhibitor Concentration = (Enzyme Substrate Modifying Factor-1)*Enzyme Substrate Dissociation Constant

Modifying Factor of Enzyme Substrate Complex

Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)

Dissociation Constant of Enzyme given Modifying Factor of Enzyme

Go Enzyme Inhibitor Dissociation Constant given MF = Inhibitor Concentration/(Enzyme Modifying Factor-1)

Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration

Forward Rate Constant given Dissociation Rate Constant

Go Forward Rate Constant = (Reverse Rate Constant/Dissociation Rate Constant)

Dissociation Rate Constant in Enzymatic Reaction Mechanism

Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant

Initial Enzyme Concentration if Substrate Concentration is Higher than Michaelis Constant

Go Enzyme Concentration Initially = Maximum Rate/Catalytic Rate Constant

Catalytic Rate Constant if Substrate Concentration is higher than Michaelis Constant

Go Catalytic Rate Constant = Maximum Rate/Initial Enzyme Concentration

Maximum Rate if Substrate Concentration is Higher than Michaelis Constant

Go Maximum Rate = Catalytic Rate Constant*Initial Enzyme Concentration

Initial Enzyme Concentration given Dissociation Rate Constant Formula

Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration)
[E_initial] = (ES*(K_D+S))/(S)

What is Michaelis–Menten kinetics model?

In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. Biochemical reactions involving a single substrate are often assumed to follow Michaelis–Menten kinetics, without regard to the model's underlying assumptions. The model takes the form of an equation describing the rate of enzymatic reactions, by relating the reaction rate of formation of product to the concentration of a substrate.

How to Calculate Initial Enzyme Concentration given Dissociation Rate Constant?

Initial Enzyme Concentration given Dissociation Rate Constant calculator uses Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration) to calculate the Enzyme Concentration Initially, The Initial enzyme concentration given dissociation rate constant formula is defined as the relation with the dissociation rate constant and the concentration of enzyme and substrate. Enzyme Concentration Initially is denoted by [E_initial] symbol.

How to calculate Initial Enzyme Concentration given Dissociation Rate Constant using this online calculator? To use this online calculator for Initial Enzyme Concentration given Dissociation Rate Constant, enter Enzyme Substrate Complex Concentration (ES), Dissociation Rate Constant (K_D) & Substrate Concentration (S) and hit the calculate button. Here is how the Initial Enzyme Concentration given Dissociation Rate Constant calculation can be explained with given input values -> 0.048 = (10000*(5700+1500))/(1500).

FAQ

What is Initial Enzyme Concentration given Dissociation Rate Constant?

The Initial enzyme concentration given dissociation rate constant formula is defined as the relation with the dissociation rate constant and the concentration of enzyme and substrate and is represented as [E_initial] = (ES*(K_D+S))/(S) or Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration). The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate, The Dissociation Rate Constant is the ratio of reverse and forward rate constant & The Substrate Concentration is the number of moles of substrate per liter solution.

How to calculate Initial Enzyme Concentration given Dissociation Rate Constant?

The Initial enzyme concentration given dissociation rate constant formula is defined as the relation with the dissociation rate constant and the concentration of enzyme and substrate is calculated using Enzyme Concentration Initially = (Enzyme Substrate Complex Concentration*(Dissociation Rate Constant+Substrate Concentration))/(Substrate Concentration). To calculate Initial Enzyme Concentration given Dissociation Rate Constant, you need Enzyme Substrate Complex Concentration (ES), Dissociation Rate Constant (K_D) & Substrate Concentration (S). With our tool, you need to enter the respective value for Enzyme Substrate Complex Concentration, Dissociation Rate Constant & Substrate Concentration 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 Enzyme Concentration Initially?

In this formula, Enzyme Concentration Initially uses Enzyme Substrate Complex Concentration, Dissociation Rate Constant & Substrate Concentration. We can use 2 other way(s) to calculate the same, which is/are as follows -

Enzyme Concentration Initially = (Catalyst Concentration+Enzyme Substrate Complex Concentration+Enzyme Inhibitor Complex Concentration)
Enzyme Concentration Initially = Maximum Rate/Catalytic Rate Constant

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