Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
V0 = (kcat*[E0]*S)/(KD+S)
This formula uses 5 Variables
Variables Used
Initial Reaction Rate - (Measured in Mole per Cubic Meter Second) - The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
Catalytic Rate Constant - (Measured in 1 Per Second) - The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
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.
Dissociation Rate Constant - (Measured in Mole per Cubic Meter) - The Dissociation Rate Constant is the ratio of reverse and forward rate constant.
STEP 1: Convert Input(s) to Base Unit
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
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)
Dissociation Rate Constant: 5.7 Mole per Liter --> 5700 Mole per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = (kcat*[E0]*S)/(KD+S) --> (0.65*100000*1500)/(5700+1500)
Evaluating ... ...
V0 = 13541.6666666667
STEP 3: Convert Result to Output's Unit
13541.6666666667 Mole per Cubic Meter Second -->13.5416666666667 Mole per Liter Second (Check conversion here)
FINAL ANSWER
13.5416666666667 13.54167 Mole per Liter Second <-- Initial Reaction Rate
(Calculation completed in 00.004 seconds)

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13 Enzyme Kinetics Calculators

Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants
Go Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration
Go Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
Initial Reaction Rate given Dissociation Rate Constant
Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
Maximum Rate given Dissociation Rate Constant
Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration
Initial Reaction Rate at Low Substrate Concentration
Go Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Michaelis Constant
Initial Reaction Rate in Michaelis Menten kinetics Equation
Go Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
Initial Reaction Rate at Low Substrate Concentration terms of Maximum Rate
Go Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/Michaelis Constant
Maximum Rate of System at Low Substrate Concentration
Go Maximum Rate = (Initial Reaction Rate*Michaelis Constant)/Substrate Concentration
Modifying Factor of Enzyme Substrate Complex
Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)
Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration
Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration
Maximum Rate given Rate Constant and Initial Enzyme Concentration
Go Maximum Rate = (Final Rate Constant*Initial Enzyme Concentration)
Total Change in Concentration of Reaction
Go Total change in concentration = Average rate*Total time interval
Total Time taken during Reaction
Go Total time interval = Total change in concentration/Average rate

Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants Formula

Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
V0 = (kcat*[E0]*S)/(KD+S)

What is Michaelis–Menten kinetics model?

In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. Biochemical reactions involving a single substrate are often assumed to follow Michaelis–Menten kinetics, without regard to the model's underlying assumptions. The model takes the form of an equation describing the rate of enzymatic reactions, by relating the reaction rate of formation of product to the concentration of a substrate.

How to Calculate Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants?

Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants calculator uses Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration) to calculate the Initial Reaction Rate, The Initial reaction rate given catalytic rate constant and dissociation rate constants formula is defined as the relation with the catalytic and dissociation rate constants and with the enzyme and substrate concentration. Initial Reaction Rate is denoted by V0 symbol.

How to calculate Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants using this online calculator? To use this online calculator for Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants, enter Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Dissociation Rate Constant (KD) and hit the calculate button. Here is how the Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants calculation can be explained with given input values -> 0.013542 = (0.65*100000*1500)/(5700+1500).

FAQ

What is Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants?
The Initial reaction rate given catalytic rate constant and dissociation rate constants formula is defined as the relation with the catalytic and dissociation rate constants and with the enzyme and substrate concentration and is represented as V0 = (kcat*[E0]*S)/(KD+S) or Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration). The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product, 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 Dissociation Rate Constant is the ratio of reverse and forward rate constant.
How to calculate Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants?
The Initial reaction rate given catalytic rate constant and dissociation rate constants formula is defined as the relation with the catalytic and dissociation rate constants and with the enzyme and substrate concentration is calculated using Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration). To calculate Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants, you need Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Dissociation Rate Constant (KD). With our tool, you need to enter the respective value for Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Dissociation Rate 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 Initial Reaction Rate?
In this formula, Initial Reaction Rate uses Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Dissociation Rate Constant. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
  • Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
  • Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Michaelis Constant
  • Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/Michaelis Constant
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