Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Calculator

✖The Dissociation Rate Constant is the ratio of reverse and forward rate constant.ⓘ Dissociation Rate Constant [K_D]			+10% -10%
✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+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 [[E₀]]			+10% -10%

✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants [S]

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Formula

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Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants

Formula

S = \frac{K D \cdot V 0}{(k cat \cdot [E 0]) - V 0}

Example

0.039737 mol/L = \frac{5.7 mol/L \cdot 0.45 mol/L*s}{(0.65 s⁻¹ \cdot 100 mol/L) - 0.45 mol/L*s}

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Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
S = (K_D*V₀)/((k_cat*[E₀])-V₀)
This formula uses 5 Variables

Variables Used

Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Dissociation Rate Constant - (Measured in Mole per Cubic Meter) - The Dissociation Rate Constant is the ratio of reverse and forward rate constant.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Dissociation Rate Constant: 5.7 Mole per Liter --> 5700 Mole per Cubic Meter (Check conversion here)
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (K_D*V₀)/((k_cat*[E₀])-V₀) --> (5700*450)/((0.65*100000)-450)

Evaluating ... ...

S = 39.7366382649109

STEP 3: Convert Result to Output's Unit

39.7366382649109 Mole per Cubic Meter -->0.0397366382649109 Mole per Liter (Check conversion here)

FINAL ANSWER

0.0397366382649109 ≈ 0.039737 Mole per Liter <-- Substrate Concentration

(Calculation completed in 00.004 seconds)

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< Complex Concentration Calculators

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 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)

Substrate Concentration given Maximum Rate at Low Concentration

Go Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/Maximum Rate

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula

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

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 Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants?

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

How to calculate Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants using this online calculator? To use this online calculator for Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants, enter Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]) and hit the calculate button. Here is how the Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants calculation can be explained with given input values -> 4E-5 = (5700*450)/((0.65*100000)-450).

FAQ

What is Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants?

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

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

The Substrate concentration given catalytic rate constant and dissociation rate constants formula is defined as the relation with dissociation, initial, and catalytic rate constants of the system and with initial enzyme concentration is calculated using Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate). To calculate Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants, you need Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]). With our tool, you need to enter the respective value for Dissociation Rate Constant, Initial Reaction Rate, Catalytic Rate Constant & Initial Enzyme 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 Substrate Concentration?

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

Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Initial Enzyme Concentration)
Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/Maximum Rate
Substrate Concentration = (Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))

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