Initial Enzyme Concentration at Low Substrate Concentration 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 Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.ⓘ Michaelis Constant [K_M]			+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 Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%

✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration at Low Substrate Concentration [[E₀]]

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Formula

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Initial Enzyme Concentration at Low Substrate Concentration

Formula

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

Example

`"1.384615mol/L"=("0.45mol/L*s"*"3mol/L")/("0.65s⁻¹"*"1.5mol/L")`

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Initial Enzyme Concentration at Low Substrate Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
[E₀] = (V₀*K_M)/(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.
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.
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.
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

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)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[E₀] = (V₀*K_M)/(k_cat*S) --> (450*3000)/(0.65*1500)

Evaluating ... ...

[E₀] = 1384.61538461538

STEP 3: Convert Result to Output's Unit

1384.61538461538 Mole per Cubic Meter -->1.38461538461538 Mole per Liter (Check conversion here)

FINAL ANSWER

1.38461538461538 ≈ 1.384615 Mole per Liter <-- Initial Enzyme Concentration

(Calculation completed in 00.020 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 at Low Substrate Concentration Formula

Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
[E₀] = (V₀*K_M)/(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 at Low Substrate Concentration?

Initial Enzyme Concentration at Low Substrate Concentration calculator uses Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration) to calculate the Initial Enzyme Concentration, The Initial enzyme concentration at low substrate concentration formula is defined as the relation with initial reaction rate and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant. Initial Enzyme Concentration is denoted by [E₀] symbol.

How to calculate Initial Enzyme Concentration at Low Substrate Concentration using this online calculator? To use this online calculator for Initial Enzyme Concentration at Low Substrate Concentration, enter Initial Reaction Rate (V₀), Michaelis Constant (K_M), Catalytic Rate Constant (k_cat) & Substrate Concentration (S) and hit the calculate button. Here is how the Initial Enzyme Concentration at Low Substrate Concentration calculation can be explained with given input values -> 0.001385 = (450*3000)/(0.65*1500).

FAQ

What is Initial Enzyme Concentration at Low Substrate Concentration?

The Initial enzyme concentration at low substrate concentration formula is defined as the relation with initial reaction rate and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant and is represented as [E₀] = (V₀*K_M)/(k_cat*S) or Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*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 Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product & The Substrate Concentration is the number of moles of substrate per liter solution.

How to calculate Initial Enzyme Concentration at Low Substrate Concentration?

The Initial enzyme concentration at low substrate concentration formula is defined as the relation with initial reaction rate and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant is calculated using Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration). To calculate Initial Enzyme Concentration at Low Substrate Concentration, you need Initial Reaction Rate (V₀), Michaelis Constant (K_M), Catalytic Rate Constant (k_cat) & Substrate Concentration (S). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Catalytic 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 Initial Enzyme Concentration?

In this formula, Initial Enzyme Concentration uses Initial Reaction Rate, Michaelis Constant, Catalytic Rate Constant & Substrate Concentration. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Initial Enzyme Concentration = Maximum Rate/Final Rate Constant

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