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 = (KD*V0)/((kcat*[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 = (KD*V0)/((kcat*[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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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

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 = (KD*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 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 (KD), 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 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 = (KD*V0)/((kcat*[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 (KD), Initial Reaction Rate (V0), Catalytic Rate Constant (kcat) & 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 6 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))
  • Substrate Concentration = (Dissociation Rate Constant*Enzyme Substrate Complex Concentration)/(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration)
  • Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
  • Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration)
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