Dissociation Constant given Enzyme Substrate Complex Concentration Calculator

✖The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.ⓘ Inhibitor Concentration [I]			+10% -10%
✖The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration [[E₀]]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%
✖The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.ⓘ Enzyme Substrate Complex Concentration [ES]			+10% -10%
✖The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.ⓘ Michaelis Constant [K_M]			+10% -10%

✖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.ⓘ Dissociation Constant given Enzyme Substrate Complex Concentration [K_i]

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Formula

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Dissociation Constant given Enzyme Substrate Complex Concentration

Formula

`"K"_{"i"} = "I"/(((((("[E"_{"0"}"]")*"S")/"ES")-"S")/"K"_{"M"})-1)`

Example

`"2.571429mol/L"="9mol/L"/((((("100mol/L"*"1.5mol/L")/"10mol/L")-"1.5mol/L")/"3mol/L")-1)`

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Dissociation Constant given Enzyme Substrate Complex Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)
K_i = I/((((([E₀]*S)/ES)-S)/K_M)-1)
This formula uses 6 Variables

Variables Used

Enzyme Inhibitor Dissociation Constant - (Measured in Mole per Cubic Meter) - 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.
Inhibitor Concentration - (Measured in Mole per Cubic Meter) - The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.
Initial Enzyme Concentration - (Measured in Mole per Cubic Meter) - The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Enzyme Substrate Complex Concentration - (Measured in Mole per Cubic Meter) - The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.
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.

STEP 1: Convert Input(s) to Base Unit

Inhibitor Concentration: 9 Mole per Liter --> 9000 Mole per Cubic Meter (Check conversion here)
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)
Enzyme Substrate Complex Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_i = I/((((([E₀]*S)/ES)-S)/K_M)-1) --> 9000/(((((100000*1500)/10000)-1500)/3000)-1)

Evaluating ... ...

K_i = 2571.42857142857

STEP 3: Convert Result to Output's Unit

2571.42857142857 Mole per Cubic Meter -->2.57142857142857 Mole per Liter (Check conversion here)

FINAL ANSWER

2.57142857142857 ≈ 2.571429 Mole per Liter <-- Enzyme Inhibitor Dissociation Constant

(Calculation completed in 00.004 seconds)

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< 9 Noncompetitive Inhibitor Calculators

Dissociation Constant given Enzyme Substrate Complex Concentration

Go Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1)

Apparent Initial Enzyme Concentration in Presence of Noncompetitive Inhibitor

Go Apparent Initial Enzyme Concentration = (Initial Enzyme Concentration/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)))

Initial Enzyme Concentration in presence of Noncompetitive Inhibitor

Go Initial Enzyme Concentration = (Apparent Initial Enzyme Concentration*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)))

Dissociation Constant given Apparent Initial Enzyme Concentration

Go Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Initial Enzyme Concentration/Apparent Initial Enzyme Concentration)-1))

Apparent Michaelis Menten constant given Inhibitor's Dissociation Constant

Go Apparent Michaelis Constant = Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))

Apparent Maximum Rate in presence of Noncompetitive Inhibitor

Go Apparent Maximum Rate = (Maximum Rate/(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)))

Dissociation Constant in presence of Noncompetitive Inhibitor

Go Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Maximum Rate/Apparent Maximum Rate)-1))

Maximum Rate in presence of Noncompetitive Inhibitor

Go Maximum Rate = (Apparent Maximum Rate*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant)))

Inhibitor Concentration in presence of Noncompetitive Inhibitor

Go Inhibitor Concentration = ((Maximum Rate/Apparent Maximum Rate)-1)*Enzyme Inhibitor Dissociation Constant

Dissociation Constant given Enzyme Substrate Complex Concentration Formula

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 Dissociation Constant given Enzyme Substrate Complex Concentration?

Dissociation Constant given Enzyme Substrate Complex Concentration calculator uses Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1) to calculate the Enzyme Inhibitor Dissociation Constant, The Dissociation constant given enzyme substrate complex concentrationformula 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 calculate Dissociation Constant given Enzyme Substrate Complex Concentration using this online calculator? To use this online calculator for Dissociation Constant given Enzyme Substrate Complex Concentration, enter Inhibitor Concentration (I), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES) & Michaelis Constant (K_M) and hit the calculate button. Here is how the Dissociation Constant given Enzyme Substrate Complex Concentration calculation can be explained with given input values -> 0.002571 = 9000/(((((100000*1500)/10000)-1500)/3000)-1).

FAQ

What is Dissociation Constant given Enzyme Substrate Complex Concentration?

The Dissociation constant given enzyme substrate complex concentrationformula 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 and is represented as K_i = I/((((([E₀]*S)/ES)-S)/K_M)-1) or Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1). The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system, The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction, The Substrate Concentration is the number of moles of substrate per liter solution, The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate & The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.

How to calculate Dissociation Constant given Enzyme Substrate Complex Concentration?

The Dissociation constant given enzyme substrate complex concentrationformula 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 is calculated using Enzyme Inhibitor Dissociation Constant = Inhibitor Concentration/(((((Initial Enzyme Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Substrate Concentration)/Michaelis Constant)-1). To calculate Dissociation Constant given Enzyme Substrate Complex Concentration, you need Inhibitor Concentration (I), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES) & Michaelis Constant (K_M). With our tool, you need to enter the respective value for Inhibitor Concentration, Initial Enzyme Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration & Michaelis Constant 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 Enzyme Inhibitor Dissociation Constant?

In this formula, Enzyme Inhibitor Dissociation Constant uses Inhibitor Concentration, Initial Enzyme Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration & Michaelis Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Initial Enzyme Concentration/Apparent Initial Enzyme Concentration)-1))
Enzyme Inhibitor Dissociation Constant = (Inhibitor Concentration/((Maximum Rate/Apparent Maximum Rate)-1))

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