Substrate Concentration in Competitive Inhibition given Maximum Rate of System Solution

STEP 0: Pre-Calculation Summary
Formula Used
Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate)
S = (V0*(KM*(1+(I/Ki))))/(Vmax-V0)
This formula uses 6 Variables
Variables Used
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
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.
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.
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.
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.
Maximum Rate - (Measured in Mole per Cubic Meter Second) - The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.
STEP 1: Convert Input(s) to Base Unit
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion ​here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion ​here)
Inhibitor Concentration: 9 Mole per Liter --> 9000 Mole per Cubic Meter (Check conversion ​here)
Enzyme Inhibitor Dissociation Constant: 19 Mole per Liter --> 19000 Mole per Cubic Meter (Check conversion ​here)
Maximum Rate: 40 Mole per Liter Second --> 40000 Mole per Cubic Meter Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (V0*(KM*(1+(I/Ki))))/(Vmax-V0) --> (450*(3000*(1+(9000/19000))))/(40000-450)
Evaluating ... ...
S = 50.3027480204937
STEP 3: Convert Result to Output's Unit
50.3027480204937 Mole per Cubic Meter -->0.0503027480204937 Mole per Liter (Check conversion ​here)
FINAL ANSWER
0.0503027480204937 0.050303 Mole per Liter <-- Substrate Concentration
(Calculation completed in 00.020 seconds)

Credits

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Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Competitive Inhibitor Calculators

Substrate Concentration of Competitive Inhibition of Enzyme Catalysis
​ LaTeX ​ Go Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Final Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Substrate Concentration in Competitive Inhibition given Enzyme Substrate Complex Concentration
​ LaTeX ​ Go Substrate Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Initial Enzyme Concentration)-Enzyme Substrate Complex Concentration)
Substrate Concentration in Competitive Inhibition given Maximum Rate of System
​ LaTeX ​ Go Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate)
Apparent Value of Michaelis Menten Constant in Presence of Competitive Inhibition
​ LaTeX ​ Go Apparent Michaelis Constant = (Substrate Concentration*(Maximum Rate-Initial Reaction Rate))/Initial Reaction Rate

Substrate Concentration in Competitive Inhibition given Maximum Rate of System Formula

​LaTeX ​Go
Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate)
S = (V0*(KM*(1+(I/Ki))))/(Vmax-V0)

What is competitive Inhibition?

In competitive inhibition, the substrate and inhibitor cannot bind to the enzyme at the same time,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 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 Substrate Concentration in Competitive Inhibition given Maximum Rate of System?

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

How to calculate Substrate Concentration in Competitive Inhibition given Maximum Rate of System using this online calculator? To use this online calculator for Substrate Concentration in Competitive Inhibition given Maximum Rate of System, enter Initial Reaction Rate (V0), Michaelis Constant (KM), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (Ki) & Maximum Rate (Vmax) and hit the calculate button. Here is how the Substrate Concentration in Competitive Inhibition given Maximum Rate of System calculation can be explained with given input values -> 5E-5 = (450*(3000*(1+(9000/19000))))/(40000-450).

FAQ

What is Substrate Concentration in Competitive Inhibition given Maximum Rate of System?
The Substrate concentration 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 and is represented as S = (V0*(KM*(1+(I/Ki))))/(Vmax-V0) or Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate). The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place, The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system, The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system, 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 & The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.
How to calculate Substrate Concentration in Competitive Inhibition given Maximum Rate of System?
The Substrate concentration 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 is calculated using Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/(Maximum Rate-Initial Reaction Rate). To calculate Substrate Concentration in Competitive Inhibition given Maximum Rate of System, you need Initial Reaction Rate (V0), Michaelis Constant (KM), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (Ki) & Maximum Rate (Vmax). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Inhibitor Concentration, Enzyme Inhibitor Dissociation Constant & Maximum Rate 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 Substrate Concentration?
In this formula, Substrate Concentration uses Initial Reaction Rate, Michaelis Constant, Inhibitor Concentration, Enzyme Inhibitor Dissociation Constant & Maximum Rate. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Substrate Concentration = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Final Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
  • Substrate Concentration = (Enzyme Substrate Complex Concentration*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))))/((Initial Enzyme Concentration)-Enzyme Substrate Complex Concentration)
  • Substrate Concentration = (Apparent Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
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