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Michaelis Constant in Competitive Inhibition given Maximum Rate of System Formula

GoMichaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula

GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration 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{V max \cdot S}{V 0}) - S}{1 + (\frac{I}{K i})}

K_M - Michaelis Constant?V_max - Maximum Rate?S - Substrate Concentration?V₀ - Initial Reaction Rate?I - Inhibitor Concentration?K_i - Enzyme Inhibitor Dissociation Constant?

Michaelis Constant in Competitive Inhibition given Maximum Rate of System Example

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Here is how the Michaelis Constant in Competitive Inhibition given Maximum Rate of System equation looks like with Values.

Here is how the Michaelis Constant in Competitive Inhibition given Maximum Rate of System equation looks like with Units.

Here is how the Michaelis Constant in Competitive Inhibition given Maximum Rate of System equation looks like.

89.4583 = \frac{(\frac{40 \cdot 1.5}{0.45}) - 1.5}{1 + (\frac{9}{19})}

89.4583mol/L = \frac{(\frac{40mol/L*s \cdot 1.5mol/L}{0.45mol/L*s}) - 1.5mol/L}{1 + (\frac{9mol/L}{19mol/L})}

89.4583 = \frac{(\frac{40 \cdot 1.5}{0.45}) - 1.5}{1 + (\frac{9}{19})}

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Michaelis Constant in Competitive Inhibition given Maximum Rate of System Solution

Follow our step by step solution on how to calculate Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K M = \frac{(\frac{40mol/L*s \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{40000mol/m³*s \cdot 1500mol/m³}{450mol/m³*s}) - 1500mol/m³}{1 + (\frac{9000mol/m³}{19000mol/m³})}

Next Step Prepare to Evaluate

∴

K M = \frac{(\frac{40000 \cdot 1500}{450}) - 1500}{1 + (\frac{9000}{19000})}

Next Step Evaluate

∴

K M = 89458.3333333333mol/m³

Next Step Convert to Output's Unit

∴

K M = 89.4583333333333mol/L

LAST Step Rounding Answer

∴

K M = 89.4583mol/L

Michaelis Constant in Competitive Inhibition given Maximum Rate of System 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

Maximum Rate

The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.

Symbol: V_max

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Maximum Rate

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 for Competitive Inhibition of Enzyme Catalysis

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

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})}

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}

Go Substrate Concentration in Competitive Inhibition given Maximum Rate of System

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

Go Substrate Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration

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

How to Evaluate Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

Michaelis Constant in Competitive Inhibition given Maximum Rate of System evaluator uses Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)) to evaluate the Michaelis Constant, The Michaelis constant in competitive inhibition given maximum rate of system 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 Maximum Rate of System using this online evaluator? To use this online evaluator for Michaelis Constant in Competitive Inhibition given Maximum Rate of System, enter Maximum Rate (V_max), 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 in Competitive Inhibition given Maximum Rate of System

What is the formula to find Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

The formula of Michaelis Constant in Competitive Inhibition given Maximum Rate of System is expressed as Michaelis Constant = (((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)). Here is an example- 0.089458 = (((40000*1500)/450)-1500)/(1+(9000/19000)).

How to calculate Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

With Maximum Rate (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀), Inhibitor Concentration (I) & Enzyme Inhibitor Dissociation Constant (K_i) we can find Michaelis Constant in Competitive Inhibition given Maximum Rate of System using the formula - Michaelis Constant = (((Maximum Rate*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=(((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))
Michaelis Constant=(((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))

Can the Michaelis Constant in Competitive Inhibition given Maximum Rate of System be negative?

Yes, the Michaelis Constant in Competitive Inhibition given Maximum Rate of System, measured in Molar Concentration can be negative.

Which unit is used to measure Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

Michaelis Constant in Competitive Inhibition given Maximum Rate of System 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 Maximum Rate of System can be measured.

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Michaelis Constant in Competitive Inhibition given Maximum Rate of System Formula

​GoMichaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula

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

Michaelis Constant in Competitive Inhibition given Maximum Rate of System Example

Michaelis Constant in Competitive Inhibition given Maximum Rate of System Solution

Michaelis Constant in Competitive Inhibition given Maximum Rate of System Formula Elements

Other Formulas to find Michaelis Constant

Other formulas in Competitive Inhibitor category

How to Evaluate Michaelis Constant in Competitive Inhibition given Maximum Rate of System?

FAQs on Michaelis Constant in Competitive Inhibition given Maximum Rate of System

Variable Name

GoMichaelis Constant for Competitive Inhibition of Enzyme Catalysis Formula

GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula