Michaelis Constant given Modifying Factor in Michaelis Menten Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration)
KM = (S*((1/α')*Vmax)-V0)/((α/α')*S)
This formula uses 6 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.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Enzyme Substrate Modifying Factor - The Enzyme Substrate Modifying Factor is defined by the inhibitor concentration and the dissociation constant of the enzyme-substrate complex.
Maximum Rate - (Measured in Mole per Cubic Meter Second) - The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.
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.
Enzyme Modifying Factor - The Enzyme Modifying Factor is defined by the inhibitor concentration and the dissociation constants of enzyme.
STEP 1: Convert Input(s) to Base Unit
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion ​here)
Enzyme Substrate Modifying Factor: 2 --> No Conversion Required
Maximum Rate: 40 Mole per Liter Second --> 40000 Mole per Cubic Meter Second (Check conversion ​here)
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion ​here)
Enzyme Modifying Factor: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KM = (S*((1/α')*Vmax)-V0)/((α/α')*S) --> (1500*((1/2)*40000)-450)/((5/2)*1500)
Evaluating ... ...
KM = 7999.88
STEP 3: Convert Result to Output's Unit
7999.88 Mole per Cubic Meter -->7.99988 Mole per Liter (Check conversion ​here)
FINAL ANSWER
7.99988 Mole per Liter <-- Michaelis Constant
(Calculation completed in 00.020 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 given Modifying Factor in Michaelis Menten Equation Formula

​LaTeX ​Go
Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration)
KM = (S*((1/α')*Vmax)-V0)/((α/α')*S)

What is competitive Inhibition?

In competitive inhibition, the substrate and inhibitor cannot bind to the enzyme at the same time, as shown in the figure on the right. This usually results from the inhibitor having an affinity for the active site of an enzyme where the substrate also binds; the substrate and inhibitor compete for access to the enzyme's active site. This type of inhibition can be overcome by sufficiently high concentrations of substrate (Vmax remains constant), i.e., by out-competing the inhibitor. However, the apparent Km will increase as it takes a higher concentration of the substrate to reach the Km point, or half the Vmax. Competitive inhibitors are often similar in structure to the real substrate.

How to Calculate Michaelis Constant given Modifying Factor in Michaelis Menten Equation?

Michaelis Constant given Modifying Factor in Michaelis Menten Equation calculator uses Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration) to calculate the Michaelis Constant, The Michaelis constant given modifying factor in Michaelis Menten equation formula is defined as the enzyme activity under various substrate and inhibitor concentrations, to obtain a modified Michaelis–Menten equation. Michaelis Constant is denoted by KM symbol.

How to calculate Michaelis Constant given Modifying Factor in Michaelis Menten Equation using this online calculator? To use this online calculator for Michaelis Constant given Modifying Factor in Michaelis Menten Equation, enter Substrate Concentration (S), Enzyme Substrate Modifying Factor '), Maximum Rate (Vmax), Initial Reaction Rate (V0) & Enzyme Modifying Factor (α) and hit the calculate button. Here is how the Michaelis Constant given Modifying Factor in Michaelis Menten Equation calculation can be explained with given input values -> 0.008 = (1500*((1/2)*40000)-450)/((5/2)*1500).

FAQ

What is Michaelis Constant given Modifying Factor in Michaelis Menten Equation?
The Michaelis constant given modifying factor in Michaelis Menten equation formula is defined as the enzyme activity under various substrate and inhibitor concentrations, to obtain a modified Michaelis–Menten equation and is represented as KM = (S*((1/α')*Vmax)-V0)/((α/α')*S) or Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration). The Substrate Concentration is the number of moles of substrate per liter solution, The Enzyme Substrate Modifying Factor is defined by the inhibitor concentration and the dissociation constant of the enzyme-substrate complex, The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration, The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place & The Enzyme Modifying Factor is defined by the inhibitor concentration and the dissociation constants of enzyme.
How to calculate Michaelis Constant given Modifying Factor in Michaelis Menten Equation?
The Michaelis constant given modifying factor in Michaelis Menten equation formula is defined as the enzyme activity under various substrate and inhibitor concentrations, to obtain a modified Michaelis–Menten equation is calculated using Michaelis Constant = (Substrate Concentration*((1/Enzyme Substrate Modifying Factor)*Maximum Rate)-Initial Reaction Rate)/((Enzyme Modifying Factor/Enzyme Substrate Modifying Factor)*Substrate Concentration). To calculate Michaelis Constant given Modifying Factor in Michaelis Menten Equation, you need Substrate Concentration (S), Enzyme Substrate Modifying Factor '), Maximum Rate (Vmax), Initial Reaction Rate (V0) & Enzyme Modifying Factor (α). With our tool, you need to enter the respective value for Substrate Concentration, Enzyme Substrate Modifying Factor, Maximum Rate, Initial Reaction Rate & Enzyme Modifying Factor 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 Substrate Concentration, Enzyme Substrate Modifying Factor, Maximum Rate, Initial Reaction Rate & Enzyme Modifying Factor. 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 = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
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