Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Calculator

✖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 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%

✖Concentration of Substrate is the number of moles of substrate per liter solution.ⓘ Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration [S_o]

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Formula

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Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

Formula

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

Example

`"0.020914mol/L"=("3mol/L"*"0.45mol/L*s")/(("0.65s⁻¹"*"100mol/L")-"0.45mol/L*s")`

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Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
S_o = (K_M*V₀)/((k_cat*[E₀])-V₀)
This formula uses 5 Variables

Variables Used

Concentration of Substrate - (Measured in Mole per Cubic Meter) - Concentration of Substrate is the number of moles of substrate per liter solution.
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.
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

Michaelis Constant: 3 Mole per Liter --> 3000 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_o = (K_M*V₀)/((k_cat*[E₀])-V₀) --> (3000*450)/((0.65*100000)-450)

Evaluating ... ...

S_o = 20.9140201394268

STEP 3: Convert Result to Output's Unit

20.9140201394268 Mole per Cubic Meter -->0.0209140201394268 Mole per Liter (Check conversion here)

FINAL ANSWER

0.0209140201394268 ≈ 0.020914 Mole per Liter <-- Concentration of Substrate

(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

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula

Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
S_o = (K_M*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 Initial Enzyme Concentration?

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

How to calculate Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration using this online calculator? To use this online calculator for Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration, enter Michaelis Constant (K_M), 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 Initial Enzyme Concentration calculation can be explained with given input values -> 2.1E-5 = (3000*450)/((0.65*100000)-450).

FAQ

What is Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration?

The Substrate concentration given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial reaction rate and initial enzyme concentration and is represented as S_o = (K_M*V₀)/((k_cat*[E₀])-V₀) or Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate). 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 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 Initial Enzyme Concentration?

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

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