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Dissociation Constant in Competitive Inhibition given Maximum Rate of System Formula

GoDissociation Constant for Competitive Inhibition of Enzyme Catalysis Formula

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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. Check FAQs

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

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

Dissociation Constant in Competitive Inhibition given Maximum Rate of System Example

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

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

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

0.2096 = \frac{9}{(\frac{(\frac{40 \cdot 1.5}{0.45}) - 1.5}{3}) - 1}

0.2096mol/L = \frac{9mol/L}{(\frac{(\frac{40mol/L*s \cdot 1.5mol/L}{0.45mol/L*s}) - 1.5mol/L}{3mol/L}) - 1}

0.2096 = \frac{9}{(\frac{(\frac{40 \cdot 1.5}{0.45}) - 1.5}{3}) - 1}

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Dissociation Constant in Competitive Inhibition given Maximum Rate of System Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K i = \frac{9mol/L}{(\frac{(\frac{40mol/L*s \cdot 1.5mol/L}{0.45mol/L*s}) - 1.5mol/L}{3mol/L}) - 1}

Next Step Convert Units

∴

K i = \frac{9000mol/m³}{(\frac{(\frac{40000mol/m³*s \cdot 1500mol/m³}{450mol/m³*s}) - 1500mol/m³}{3000mol/m³}) - 1}

Next Step Prepare to Evaluate

∴

K i = \frac{9000}{(\frac{(\frac{40000 \cdot 1500}{450}) - 1500}{3000}) - 1}

Next Step Evaluate

∴

K i = 209.573091849935mol/m³

Next Step Convert to Output's Unit

∴

K i = 0.209573091849935mol/L

LAST Step Rounding Answer

∴

K i = 0.2096mol/L

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

Variables

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

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

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

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

Other Formulas to find Enzyme Inhibitor Dissociation Constant

Go Dissociation Constant for Competitive Inhibition of Enzyme Catalysis

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

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 Dissociation Constant in Competitive Inhibition given Maximum Rate of System?

Dissociation Constant in Competitive Inhibition given Maximum Rate of System evaluator uses Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1) to evaluate the Enzyme Inhibitor Dissociation Constant, The Dissociation 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. Enzyme Inhibitor Dissociation Constant is denoted by K_i symbol.

How to evaluate Dissociation Constant in Competitive Inhibition given Maximum Rate of System using this online evaluator? To use this online evaluator for Dissociation Constant in Competitive Inhibition given Maximum Rate of System, enter Inhibitor Concentration (I), Maximum Rate (V_max), Substrate Concentration (S), Initial Reaction Rate (V₀) & Michaelis Constant (K_M) and hit the calculate button.

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

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

The formula of Dissociation Constant in Competitive Inhibition given Maximum Rate of System is expressed as Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1). Here is an example- 0.00021 = 9000/(((((40000*1500)/450)-1500)/3000)-1).

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

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

What are the other ways to Calculate Enzyme Inhibitor Dissociation Constant?

Here are the different ways to Calculate Enzyme Inhibitor Dissociation Constant-

Enzyme Inhibitor Dissociation Constant=Inhibitor Concentration/(((((Final Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration)/Michaelis Constant)-1)

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

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

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

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

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Dissociation Constant in Competitive Inhibition given Maximum Rate of System Formula

​GoDissociation Constant for Competitive Inhibition of Enzyme Catalysis Formula

Dissociation Constant in Competitive Inhibition given Maximum Rate of System Example

Dissociation Constant in Competitive Inhibition given Maximum Rate of System Solution

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

Other Formulas to find Enzyme Inhibitor Dissociation Constant

Other formulas in Competitive Inhibitor category

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

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

Variable Name

GoDissociation Constant for Competitive Inhibition of Enzyme Catalysis Formula