Michaelis Constant at Low Substrate Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
KM = (kcat*[E0]*S)/V0
This formula uses 5 Variables
Variables Used
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.
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.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
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.
STEP 1: Convert Input(s) to Base Unit
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)
Substrate Concentration: 1.5 Mole per Liter --> 1500 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KM = (kcat*[E0]*S)/V0 --> (0.65*100000*1500)/450
Evaluating ... ...
KM = 216666.666666667
STEP 3: Convert Result to Output's Unit
216666.666666667 Mole per Cubic Meter -->216.666666666667 Mole per Liter (Check conversion ​here)
FINAL ANSWER
216.666666666667 216.6667 Mole per Liter <-- Michaelis Constant
(Calculation completed in 00.004 seconds)

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Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration
​ LaTeX ​ Go Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate
Maximum Rate of System from Michaelis Menten Kinetics equation
​ LaTeX ​ Go Maximum Rate = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/Substrate Concentration
Substrate Concentration from Michaelis Menten Kinetics Equation
​ LaTeX ​ Go Substrate Concentration = (Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
Michaelis Constant from Michaelis Menten kinetics equation
​ LaTeX ​ Go Michaelis Constant = Substrate Concentration*((Maximum Rate-Initial Reaction Rate)/Initial Reaction Rate)

Michaelis Constant at Low Substrate Concentration Formula

​LaTeX ​Go
Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
KM = (kcat*[E0]*S)/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 Michaelis Constant at Low Substrate Concentration?

Michaelis Constant at Low Substrate Concentration calculator uses Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate to calculate the Michaelis Constant, The Michaelis constant at low substrate concentration formula is defined as the relation of initial enzyme and substrate concentration and wth initial reaction rate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant. Michaelis Constant is denoted by KM symbol.

How to calculate Michaelis Constant at Low Substrate Concentration using this online calculator? To use this online calculator for Michaelis Constant at Low Substrate Concentration, enter Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Initial Reaction Rate (V0) and hit the calculate button. Here is how the Michaelis Constant at Low Substrate Concentration calculation can be explained with given input values -> 0.216667 = (0.65*100000*1500)/450.

FAQ

What is Michaelis Constant at Low Substrate Concentration?
The Michaelis constant at low substrate concentration formula is defined as the relation of initial enzyme and substrate concentration and wth initial reaction rate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant and is represented as KM = (kcat*[E0]*S)/V0 or Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate. 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, The Substrate Concentration is the number of moles of substrate per liter solution & The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
How to calculate Michaelis Constant at Low Substrate Concentration?
The Michaelis constant at low substrate concentration formula is defined as the relation of initial enzyme and substrate concentration and wth initial reaction rate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant is calculated using Michaelis Constant = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate. To calculate Michaelis Constant at Low Substrate Concentration, you need Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Initial Reaction Rate (V0). With our tool, you need to enter the respective value for Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Initial Reaction Rate 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 Michaelis Constant?
In this formula, Michaelis Constant uses Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Initial Reaction Rate. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Michaelis Constant = Substrate Concentration*((Maximum Rate-Initial Reaction Rate)/Initial Reaction Rate)
  • Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate
  • Michaelis Constant = (Maximum Rate*Substrate Concentration)/Initial Reaction Rate
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