9860

Generalized Arrhenius Function

How a chemical reaction depends on temperature is often parameterized by the Arrhenius function (blue line). Enzyme-mediated reactions respond to temperature in a more complicated manner: high temperatures reduce the catalytic effect exerted by the enzymes (red line). The optimal temperature () is not always close to the temperature of enzyme denaturing. The temperature response of photosynthesis, for example, is often drawn as a bell-shaped curve (green line). This type of temperature response can be modeled with the generalized Arrhenius function, if .

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The generalized Arrhenius function is designed to describe the effect of temperature on enzyme activity. It parametrizes the temperature response in terms of activation energy, optimal temperature (), and the ratio () between the levels of activation energy above and below the optimal temperature, as follows:
where is the normalized Arrhenius function (at the optimal temperature).
Further readings:
G. A. Alexandrov and Y. Yamagata, "A Peaked Function for Modeling Temperature Dependence of Plant Productivity," Ecological Modelling, 200(1–2), 2007 pp. 189–192.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+