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Laplace’s Equation, Genetic Algorithms, and Evolution

[+] Author Affiliations
Philippos K. Tsourkas, Boris Rubinsky

University of California at Berkeley, Berkeley, CA

Paper No. IMECE2002-32658, pp. 77-78; 2 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Advances in Bioengineering
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Bioengineering Division
  • ISBN: 0-7918-3650-9 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


With the advent of problems in genetics that are either too difficult or too dangerous to solve experimentally, it is important to have mathematical tools available so that these problems may be solved through modeling and computation. To this end we developed a mathematical experimentation procedure to simulate the evolution of a population of individuals. The procedure employs genetic algorithm methodology to study a ‘species’ that is comprised of solutions to the Laplace equation. The algorithm is applied to the study of a particularly significant and controversial problem: The release of genetically engineered organism in the wild.

Copyright © 2002 by ASME



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