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Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

GoMichaelis Constant given Forward, Reverse, and Catalytic Rate Constants Formula

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The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system. Check FAQs

K M = \frac{(\frac{[E 0] \cdot S}{ES}) - S}{1 + (\frac{I}{K i})}

K_M - Michaelis Constant?[E₀] - Initial Enzyme Concentration?S - Substrate Concentration?ES - Enzyme Substrate Complex Concentration?I - Inhibitor Concentration?K_i - Enzyme Inhibitor Dissociation Constant?

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Example

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Here is how the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration equation looks like with Values.

Here is how the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration equation looks like with Units.

Here is how the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration equation looks like.

9.1607 = \frac{(\frac{100 \cdot 1.5}{10}) - 1.5}{1 + (\frac{9}{19})}

9.1607mol/L = \frac{(\frac{100mol/L \cdot 1.5mol/L}{10mol/L}) - 1.5mol/L}{1 + (\frac{9mol/L}{19mol/L})}

9.1607 = \frac{(\frac{100 \cdot 1.5}{10}) - 1.5}{1 + (\frac{9}{19})}

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Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Solution

Follow our step by step solution on how to calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

FIRST Step Consider the formula

K M = \frac{(\frac{[E 0] \cdot S}{ES}) - S}{1 + (\frac{I}{K i})}

Next Step Substitute values of Variables

∴

K M = \frac{(\frac{100mol/L \cdot 1.5mol/L}{10mol/L}) - 1.5mol/L}{1 + (\frac{9mol/L}{19mol/L})}

Next Step Convert Units

∴

K M = \frac{(\frac{100000mol/m³ \cdot 1500mol/m³}{10000mol/m³}) - 1500mol/m³}{1 + (\frac{9000mol/m³}{19000mol/m³})}

Next Step Prepare to Evaluate

∴

K M = \frac{(\frac{100000 \cdot 1500}{10000}) - 1500}{1 + (\frac{9000}{19000})}

Next Step Evaluate

∴

K M = 9160.71428571429mol/m³

Next Step Convert to Output's Unit

∴

K M = 9.16071428571429mol/L

LAST Step Rounding Answer

∴

K M = 9.1607mol/L

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula Elements

Variables

Michaelis Constant

The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

Symbol: K_M

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Michaelis Constant

Initial Enzyme Concentration

The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.

Symbol: [E₀]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Enzyme Concentration

Substrate Concentration

The Substrate Concentration is the number of moles of substrate per liter solution.

Symbol: S

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Substrate Concentration

Enzyme Substrate Complex Concentration

The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.

Symbol: ES

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Enzyme Substrate Complex Concentration

Inhibitor Concentration

The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.

Symbol: I

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Inhibitor Concentration

Enzyme Inhibitor Dissociation Constant

The Enzyme Inhibitor Dissociation Constant is measured by the method in which the inhibitor is titrated into a solution of enzyme and the heat released or absorbed is measured.

Symbol: K_i

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Enzyme Inhibitor Dissociation Constant

Other Formulas to find Michaelis Constant

Go Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants

K M = \frac{k r + k cat}{k f}

Other formulas in Competitive Inhibitor category

Go Modifying Factor of Enzyme Substrate Complex

α' = 1 + (\frac{I}{K i'})

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

V RC = k 2 \cdot ES

Go Initial Reaction Rate given Dissociation Rate Constant

V DRC = \frac{V max \cdot S}{K D + S}

Go Maximum Rate given Dissociation Rate Constant

V max_DRC = \frac{V 0 \cdot (K D + S)}{S}

How to Evaluate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration evaluator uses Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to evaluate the Michaelis Constant, The Michaelis constant in competitive inhibition given enzyme substrate complex concentration formula is defined as a plot of the reaction velocity (V0) associated with the concentration [S] of the substrate can then be used to determine values such as Vmax, initial velocity, and Km. Michaelis Constant is denoted by K_M symbol.

How to evaluate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration using this online evaluator? To use this online evaluator for Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration, enter Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) and hit the calculate button.

FAQs on Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration

What is the formula to find Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

The formula of Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration is expressed as Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). Here is an example- 0.009161 = (((100000*1500)/10000)-1500)/(1+(9000/19000)).

How to calculate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

With Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) we can find Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration using the formula - Michaelis Constant = (((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)).

What are the other ways to Calculate Michaelis Constant?

Here are the different ways to Calculate Michaelis Constant-

Michaelis Constant=(Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant

Can the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration be negative?

Yes, the Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration, measured in Molar Concentration can be negative.

Which unit is used to measure Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration can be measured.

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Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

​GoMichaelis Constant given Forward, Reverse, and Catalytic Rate Constants Formula

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Example

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Solution

Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula Elements

Other Formulas to find Michaelis Constant

Other formulas in Competitive Inhibitor category

How to Evaluate Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration?

FAQs on Michaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration

Variable Name

GoMichaelis Constant given Forward, Reverse, and Catalytic Rate Constants Formula