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Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Formula

GoMichaelis Constant from Michaelis Menten kinetics equation Formula

GoMichaelis Constant at Low Substrate 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{S \cdot ((k cat \cdot [E 0]) - V 0)}{V 0}

K_M - Michaelis Constant?S - Substrate Concentration?k_cat - Catalytic Rate Constant?[E₀] - Initial Enzyme Concentration?V₀ - Initial Reaction Rate?

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Example

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Here is how the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Values.

Here is how the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Units.

Here is how the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like.

215.1667 = \frac{1.5 \cdot ((0.65 \cdot 100) - 0.45)}{0.45}

215.1667mol/L = \frac{1.5mol/L \cdot ((0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s)}{0.45mol/L*s}

215.1667 = \frac{1.5 \cdot ((0.65 \cdot 100) - 0.45)}{0.45}

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Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Solution

Follow our step by step solution on how to calculate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

FIRST Step Consider the formula

K M = \frac{S \cdot ((k cat \cdot [E 0]) - V 0)}{V 0}

Next Step Substitute values of Variables

∴

K M = \frac{1.5mol/L \cdot ((0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s)}{0.45mol/L*s}

Next Step Convert Units

∴

K M = \frac{1500mol/m³ \cdot ((0.65s⁻¹ \cdot 100000mol/m³) - 450mol/m³*s)}{450mol/m³*s}

Next Step Prepare to Evaluate

∴

K M = \frac{1500 \cdot ((0.65 \cdot 100000) - 450)}{450}

Next Step Evaluate

∴

K M = 215166.666666667mol/m³

Next Step Convert to Output's Unit

∴

K M = 215.166666666667mol/L

LAST Step Rounding Answer

∴

K M = 215.1667mol/L

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration 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

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

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

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

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

Other Formulas to find Michaelis Constant

Go Michaelis Constant from Michaelis Menten kinetics equation

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

Go Michaelis Constant at Low Substrate Concentration

K M = \frac{k cat \cdot [E 0] \cdot S}{V 0}

Go Michaelis Constant given Maximum Rate at Low Substrate Concentration

K M = \frac{V max \cdot S}{V 0}

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

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

Other formulas in Michaelis Menten Kinetics Equation category

Go Maximum Rate of System from Michaelis Menten Kinetics equation

V max = \frac{V 0 \cdot (K M + S)}{S}

Go Substrate Concentration from Michaelis Menten Kinetics Equation

S = \frac{K M \cdot V 0}{V max - V 0}

Go Catalytic Rate Constant from Michaelis Menten Kinetics Equation

k cat_MM = \frac{V 0 \cdot (K M + S)}{[E 0] \cdot S}

Go Enzyme Concentration from Michaelis Menten Kinetics equation

[E i] = \frac{V 0 \cdot (K M + S)}{k cat \cdot S}

How to Evaluate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration evaluator uses Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate to evaluate the Michaelis Constant, The Michaelis constant given catalytic rate constant and initial enzyme concentration formula is defined as the relation with initial enzyme and substrate concentration and also with initial reaction rate. Michaelis Constant is denoted by K_M symbol.

How to evaluate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration using this online evaluator? To use this online evaluator for Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration, enter Substrate Concentration (S), Catalytic Rate Constant (k_cat), Initial Enzyme Concentration ([E₀]) & Initial Reaction Rate (V₀) and hit the calculate button.

FAQs on Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

What is the formula to find Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

The formula of Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration is expressed as Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate. Here is an example- 0.215167 = (1500*((0.65*100000)-450))/450.

How to calculate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

With Substrate Concentration (S), Catalytic Rate Constant (k_cat), Initial Enzyme Concentration ([E₀]) & Initial Reaction Rate (V₀) we can find Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration using the formula - Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate.

What are the other ways to Calculate Michaelis Constant?

Here are the different ways to Calculate Michaelis Constant-

Michaelis Constant=Substrate Concentration*((Maximum Rate-Initial Reaction Rate)/Initial Reaction Rate)
Michaelis Constant=(Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate
Michaelis Constant=(Maximum Rate*Substrate Concentration)/Initial Reaction Rate

Can the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration be negative?

Yes, the Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration, measured in Molar Concentration can be negative.

Which unit is used to measure Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration 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 Catalytic Rate Constant and Initial Enzyme Concentration can be measured.

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Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Formula

​GoMichaelis Constant from Michaelis Menten kinetics equation Formula

​GoMichaelis Constant at Low Substrate Concentration Formula

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Example

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Solution

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration Formula Elements

Other Formulas to find Michaelis Constant

Other formulas in Michaelis Menten Kinetics Equation category

How to Evaluate Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration?

FAQs on Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

Variable Name

GoMichaelis Constant from Michaelis Menten kinetics equation Formula

GoMichaelis Constant at Low Substrate Concentration Formula