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Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants 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{k r + k cat}{k f}

K_M - Michaelis Constant?k_r - Reverse Rate Constant?k_cat - Catalytic Rate Constant?k_f - Forward Rate Constant?

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

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Here is how the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants equation looks like with Values.

Here is how the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants equation looks like with Units.

Here is how the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants equation looks like.

2.8986 = \frac{20 + 0.65}{6.9}

2.8986mol/L = \frac{20mol/L*s + 0.65s⁻¹}{6.9s⁻¹}

2.8986 = \frac{20 + 0.65}{6.9}

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

Follow our step by step solution on how to calculate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K M = \frac{20mol/L*s + 0.65s⁻¹}{6.9s⁻¹}

Next Step Convert Units

∴

K M = \frac{20000mol/m³*s + 0.65s⁻¹}{6.9s⁻¹}

Next Step Prepare to Evaluate

∴

K M = \frac{20000 + 0.65}{6.9}

Next Step Evaluate

∴

K M = 2898.64492753623mol/m³

Next Step Convert to Output's Unit

∴

K M = 2.89864492753623mol/L

LAST Step Rounding Answer

∴

K M = 2.8986mol/L

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants 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

Reverse Rate Constant

The Reverse Rate Constant is defined as the rate constant for the backward reaction.

Symbol: k_r

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Reverse Rate Constant

Catalytic Rate Constant

The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.

Symbol: k_cat

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Catalytic Rate Constant

Forward Rate Constant

The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.

Symbol: k_f

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Forward Rate 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})}

Other formulas in Michaelis Menten Kinetics Equation 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 given Forward, Reverse, and Catalytic Rate Constants?

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants evaluator uses Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant to evaluate the Michaelis Constant, The Michaelis constant given forward, reverse, and catalytic rate constants formula is defined as the ratio of addition of rate constant of reverse reaction and rate constant of reaction from intermediate to product to the rate constant of the forward reaction. Michaelis Constant is denoted by K_M symbol.

How to evaluate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants using this online evaluator? To use this online evaluator for Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants, enter Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Forward Rate Constant (k_f) and hit the calculate button.

FAQs on Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants

What is the formula to find Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

The formula of Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants is expressed as Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate Constant. Here is an example- 0.002899 = (20000+0.65)/6.9.

How to calculate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

With Reverse Rate Constant (k_r), Catalytic Rate Constant (k_cat) & Forward Rate Constant (k_f) we can find Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants using the formula - Michaelis Constant = (Reverse Rate Constant+Catalytic Rate Constant)/Forward Rate 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))

Can the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants be negative?

Yes, the Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants, measured in Molar Concentration can be negative.

Which unit is used to measure Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants 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 given Forward, Reverse, and Catalytic Rate Constants can be measured.

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

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

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

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

Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants Formula Elements

Other Formulas to find Michaelis Constant

Other formulas in Michaelis Menten Kinetics Equation category

How to Evaluate Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants?

FAQs on Michaelis Constant given Forward, Reverse, and Catalytic Rate Constants

Variable Name

GoMichaelis Constant in Competitive Inhibition given Enzyme Substrate Complex Concentration Formula