To install click the Add extension button. That's it.

The source code for the WIKI 2 extension is being checked by specialists of the Mozilla Foundation, Google, and Apple. You could also do it yourself at any point in time.

4,5
Kelly Slayton
Congratulations on this excellent venture… what a great idea!
Alexander Grigorievskiy
I use WIKI 2 every day and almost forgot how the original Wikipedia looks like.
Live Statistics
English Articles
Improved in 24 Hours
Added in 24 Hours
Languages
Recent
Show all languages
What we do. Every page goes through several hundred of perfecting techniques; in live mode. Quite the same Wikipedia. Just better.
.
Leo
Newton
Brights
Milds

From Wikipedia, the free encyclopedia

The Lamm equation[1] describes the sedimentation and diffusion of a solute under ultracentrifugation in traditional sector-shaped cells. (Cells of other shapes require much more complex equations.) It was named after Ole Lamm, later professor of physical chemistry at the Royal Institute of Technology, who derived it during his Ph.D. studies under Svedberg at Uppsala University.

The Lamm equation can be written:[2][3]

where c is the solute concentration, t and r are the time and radius, and the parameters D, s, and ω represent the solute diffusion constant, sedimentation coefficient and the rotor angular velocity, respectively. The first and second terms on the right-hand side of the Lamm equation are proportional to D and 2, respectively, and describe the competing processes of diffusion and sedimentation. Whereas sedimentation seeks to concentrate the solute near the outer radius of the cell, diffusion seeks to equalize the solute concentration throughout the cell. The diffusion constant D can be estimated from the hydrodynamic radius and shape of the solute, whereas the buoyant mass mb can be determined from the ratio of s and D

where kBT is the thermal energy, i.e., Boltzmann's constant kB multiplied by the temperature T in kelvins.

Solute molecules cannot pass through the inner and outer walls of the cell, resulting in the boundary conditions on the Lamm equation

at the inner and outer radii, ra and rb, respectively. By spinning samples at constant angular velocity ω and observing the variation in the concentration c(rt), one may estimate the parameters s and D and, thence, the (effective or equivalent) buoyant mass of the solute.

YouTube Encyclopedic

  • 1/3
    Views:
    2 792
    1 430
    2 501
  • Sedimentation during Centrifugation. Svedberg Equation. Sedimentation Coefficient.
  • Learn How Sketching Can Improve Your Design Workflow // Eva-Lotta Lamm
  • Measuring soil C: Emerging Approaches

Transcription

References and notes

  1. ^ O Lamm: (1929) "Die Differentialgleichung der Ultrazentrifugierung" Arkiv för matematik, astronomi och fysik 21B No. 2, 1–4
  2. ^ SI Rubinow (2002) [1975]. Introduction to mathematical biology. Courier/Dover Publications. pp. 235–244. ISBN 0-486-42532-0.
  3. ^ Jagannath Mazumdar (1999). An Introduction to Mathematical Physiology and Biology. Cambridge UK: Cambridge University Press. p. 33 ff. ISBN 0-521-64675-8.
This page was last edited on 15 December 2023, at 22:43
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.