Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Calculator

✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+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%
✖The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic Rate Constant [k_cat]			+10% -10%

✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants [[E₀]]

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Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants

Formula

`("[E"_{"0"}"]") = ("V"_{"0"}*("K"_{"D"}+"S"))/("k"_{"cat"}*"S")`

Example

`"3.323077mol/L"=("0.45mol/L*s"*("5.7mol/L"+"1.5mol/L"))/("0.65s⁻¹"*"1.5mol/L")`

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Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
[E₀] = (V₀*(K_D+S))/(k_cat*S)
This formula uses 5 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.
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.
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.
Catalytic Rate Constant - (Measured in 1 Per Second) - The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

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)
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)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[E₀] = (V₀*(K_D+S))/(k_cat*S) --> (450*(5700+1500))/(0.65*1500)

Evaluating ... ...

[E₀] = 3323.07692307692

STEP 3: Convert Result to Output's Unit

3323.07692307692 Mole per Cubic Meter -->3.32307692307692 Mole per Liter (Check conversion here)

FINAL ANSWER

3.32307692307692 ≈ 3.323077 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 Catalytic Rate Constant and Dissociation Rate Constants Formula

Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration)
[E₀] = (V₀*(K_D+S))/(k_cat*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 Catalytic Rate Constant and Dissociation Rate Constants?

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants calculator uses Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration) to calculate the Initial Enzyme Concentration, The Initial enzyme concentration given catalytic rate constant and dissociation rate constants formula is defined as the relation with initial and dissociation rate constants and with the substrate concentration. Initial Enzyme Concentration is denoted by [E₀] symbol.

How to calculate Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants using this online calculator? To use this online calculator for Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants, enter Initial Reaction Rate (V₀), Dissociation Rate Constant (K_D), Substrate Concentration (S) & Catalytic Rate Constant (k_cat) and hit the calculate button. Here is how the Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants calculation can be explained with given input values -> 0.003323 = (450*(5700+1500))/(0.65*1500).

FAQ

What is Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants?

The Initial enzyme concentration given catalytic rate constant and dissociation rate constants formula is defined as the relation with initial and dissociation rate constants and with the substrate concentration and is represented as [E₀] = (V₀*(K_D+S))/(k_cat*S) or Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration). The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place, 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 & The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

How to calculate Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants?

The Initial enzyme concentration given catalytic rate constant and dissociation rate constants formula is defined as the relation with initial and dissociation rate constants and with the substrate concentration is calculated using Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration). To calculate Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants, you need Initial Reaction Rate (V₀), Dissociation Rate Constant (K_D), Substrate Concentration (S) & Catalytic Rate Constant (k_cat). With our tool, you need to enter the respective value for Initial Reaction Rate, Dissociation Rate Constant, Substrate Concentration & Catalytic 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 Initial Reaction Rate, Dissociation Rate Constant, Substrate Concentration & Catalytic 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 = Maximum Rate/Final Rate Constant

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