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)
So = (KM*V0)/((kcat*[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
So = (KM*V0)/((kcat*[E0])-V0) --> (3000*450)/((0.65*100000)-450)
Evaluating ... ...
So = 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)
So = (KM*V0)/((kcat*[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 So 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 (KM), Initial Reaction Rate (V0), Catalytic Rate Constant (kcat) & 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 So = (KM*V0)/((kcat*[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 (KM), Initial Reaction Rate (V0), Catalytic Rate Constant (kcat) & 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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