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Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula

GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

GoMichaelis Constant in Competitive Inhibition given Maximum Rate of System 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{k 2 \cdot [E 0] \cdot S}{V 0}) - S}{1 + (\frac{I}{K i})}

K_M - Michaelis Constant?k₂ - Final Rate Constant?[E₀] - Initial Enzyme Concentration?S - Substrate Concentration?V₀ - Initial Reaction Rate?I - Inhibitor Concentration?K_i - Enzyme Inhibitor Dissociation Constant?

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Example

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Here is how the Michaelis Constant for Competitive Inhibition of Enzyme Catalysis equation looks like with Values.

Here is how the Michaelis Constant for Competitive Inhibition of Enzyme Catalysis equation looks like with Units.

Here is how the Michaelis Constant for Competitive Inhibition of Enzyme Catalysis equation looks like.

5201.3631 = \frac{(\frac{23 \cdot 100 \cdot 1.5}{0.45}) - 1.5}{1 + (\frac{9}{19})}

5201.3631mol/L = \frac{(\frac{23s⁻¹ \cdot 100mol/L \cdot 1.5mol/L}{0.45mol/L*s}) - 1.5mol/L}{1 + (\frac{9mol/L}{19mol/L})}

5201.3631 = \frac{(\frac{23 \cdot 100 \cdot 1.5}{0.45}) - 1.5}{1 + (\frac{9}{19})}

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Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Solution

Follow our step by step solution on how to calculate Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

FIRST Step Consider the formula

K M = \frac{(\frac{k 2 \cdot [E 0] \cdot S}{V 0}) - S}{1 + (\frac{I}{K i})}

Next Step Substitute values of Variables

∴

K M = \frac{(\frac{23s⁻¹ \cdot 100mol/L \cdot 1.5mol/L}{0.45mol/L*s}) - 1.5mol/L}{1 + (\frac{9mol/L}{19mol/L})}

Next Step Convert Units

∴

K M = \frac{(\frac{23s⁻¹ \cdot 100000mol/m³ \cdot 1500mol/m³}{450mol/m³*s}) - 1500mol/m³}{1 + (\frac{9000mol/m³}{19000mol/m³})}

Next Step Prepare to Evaluate

∴

K M = \frac{(\frac{23 \cdot 100000 \cdot 1500}{450}) - 1500}{1 + (\frac{9000}{19000})}

Next Step Evaluate

∴

K M = 5201363.0952381mol/m³

Next Step Convert to Output's Unit

∴

K M = 5201.3630952381mol/L

LAST Step Rounding Answer

∴

K M = 5201.3631mol/L

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis 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

Final Rate Constant

The Final Rate Constant is the rate constant when the enzyme-substrate complex on reaction with inhibitor is converted into the enzyme catalyst and product.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Final Rate 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

Initial Reaction Rate

The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.

Symbol: V₀

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Initial Reaction Rate

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 in Competitive Inhibition given Enzyme Substrate Complex Concentration

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

Go Michaelis Constant in Competitive Inhibition given Maximum Rate of System

K M = \frac{(\frac{V max \cdot S}{V 0}) - S}{1 + (\frac{I}{K i})}

Other formulas in Competitive Inhibitor category

Go Apparent Value of Michaelis Menten Constant in Presence of Competitive Inhibition

Km app = \frac{S \cdot (V max - V 0)}{V 0}

Go Substrate Concentration of Competitive Inhibition of Enzyme Catalysis

S = \frac{V 0 \cdot (K M \cdot (1 + (\frac{I}{K i})))}{(k 2 \cdot [E 0]) - V 0}

How to Evaluate Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis evaluator uses Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to evaluate the Michaelis Constant, The Michaelis constant for competitive inhibition of enzyme catalysis 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 for Competitive Inhibition of Enzyme Catalysis using this online evaluator? To use this online evaluator for Michaelis Constant for Competitive Inhibition of Enzyme Catalysis, enter Final Rate Constant (k₂), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Initial Reaction Rate (V₀), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) and hit the calculate button.

FAQs on Michaelis Constant for Competitive Inhibition of Enzyme Catalysis

What is the formula to find Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

The formula of Michaelis Constant for Competitive Inhibition of Enzyme Catalysis is expressed as Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). Here is an example- 5.201363 = (((23*100000*1500)/450)-1500)/(1+(9000/19000)).

How to calculate Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

With Final Rate Constant (k₂), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Initial Reaction Rate (V₀), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) we can find Michaelis Constant for Competitive Inhibition of Enzyme Catalysis using the formula - Michaelis Constant = (((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-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=(((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Michaelis Constant=(((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))

Can the Michaelis Constant for Competitive Inhibition of Enzyme Catalysis be negative?

Yes, the Michaelis Constant for Competitive Inhibition of Enzyme Catalysis, measured in Molar Concentration can be negative.

Which unit is used to measure Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis 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 for Competitive Inhibition of Enzyme Catalysis can be measured.

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Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula

​GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

​GoMichaelis Constant in Competitive Inhibition given Maximum Rate of System Formula

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Example

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Solution

Michaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula Elements

Other Formulas to find Michaelis Constant

Other formulas in Competitive Inhibitor category

How to Evaluate Michaelis Constant for Competitive Inhibition of Enzyme Catalysis?

FAQs on Michaelis Constant for Competitive Inhibition of Enzyme Catalysis

Variable Name

GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula

GoMichaelis Constant in Competitive Inhibition given Maximum Rate of System Formula