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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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 00.020 seconds)

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< Complex Concentration Calculators

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

LaTeX 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

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

Initial Enzyme Concentration at Low Substrate Concentration

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

Substrate Concentration given Maximum Rate at Low Concentration

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

< Important Formulas on Enzyme Kinetics Calculators

Initial Reaction Rate given Dissociation Rate Constant

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

Maximum Rate given Dissociation Rate Constant

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

Modifying Factor of Enzyme Substrate Complex

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

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

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

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration Formula

LaTeX Go

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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