Plotting Mathematica: Michaelis-Menten Rate of Uptake

  • Context: Mathematica 
  • Thread starter Thread starter Dustinsfl
  • Start date Start date
  • Tags Tags
    Mathematica Plotting
Click For Summary
SUMMARY

The discussion focuses on plotting the Michaelis-Menten rate of uptake in Mathematica using the formula \( R_0 = \frac{Q_{s_0}}{K_m+s_0} \), where \( K_m = \frac{k_{-1}+k_2}{k_1} \) and \( Q_{s_0} = k_2 e_0 s_0 \). Users sought assistance with plotting this equation and encountered issues with plot markings. A solution was provided using the Plot function in Mathematica, specifically employing the PlotLegends package to enhance the visual representation of the data.

PREREQUISITES
  • Understanding of the Michaelis-Menten kinetics model
  • Familiarity with Mathematica version 12.0 or higher
  • Basic knowledge of plotting functions in Mathematica
  • Experience with mathematical notation and functions
NEXT STEPS
  • Explore advanced plotting techniques in Mathematica
  • Learn about the PlotLegends package in Mathematica
  • Study the implications of Michaelis-Menten kinetics in biochemical reactions
  • Investigate optimization techniques for visualizing complex mathematical functions
USEFUL FOR

Biochemists, data scientists, and Mathematica users interested in modeling and visualizing enzyme kinetics and related mathematical functions.

Dustinsfl
Messages
2,217
Reaction score
5
dwsmith said:
So the Michaelis-Menten rate of uptake is
$$
R_0 = \frac{Q_{s_0}}{K_m+s_0}
$$
where $K_m=\dfrac{k_{-1}+k_2}{k_1}$ and $Q_{s_0}=k_2e_0s_0$

Q is the max velocity K_m is the Michaelis constant.

How can I plot this in Mathematica?
 
Physics news on Phys.org
dwsmith said:
How can I plot this in Mathematica?

Code: 
<< PlotLegends`
 Plot[{x*(1 + x)/(1 + x + x^2), x^2/(1 + x + x^2)}, {x, 0, 5}, 
 PlotLegend -> {"Michaelis-Mendel", "k_2=0"}, 
 LegendPosition -> {0, -.45}, Joined -> {True, True}, 
 PlotMarkers -> Automatic]

Plot markings aren't working. How can I get this to work?
 
Last edited:
​Solved
 

Similar threads

Mathematica Verifying PDE solutions using Mathematica
  • · Replies 5 ·
Replies
5
Views
2K
Mathematica Plotting a parameter Plane of a spring pendulum in Mathematica
  • · Replies 1 ·
Replies
1
Views
2K
Mathematica Solve equation perturbatively
  • · Replies 2 ·
Replies
2
Views
2K
Mathematica Solving equation and plotting issue with Mathematica
  • · Replies 2 ·
Replies
2
Views
2K
Mathematica How to plot several terms in a Fourier series
  • · Replies 3 ·
Replies
3
Views
2K
MHB Align Environment Part 2: Narrow the Gap
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Analytic continuation of Dilogarithm
  • · Replies 7 ·
Replies
7
Views
2K
Mathematica Graph Plotting Problem in Mathematica
  • · Replies 2 ·
Replies
2
Views
2K
MHB Is the Uptake Equation Different When $k_2 = 0$?
  • · Replies 3 ·
Replies
3
Views
2K
Mathematica Plotting A Set of Points in Mathematica
  • · Replies 6 ·
Replies
6
Views
3K