DIFFUSION OUT OF A TRIANGLE.

Abstract

A problem in molecular genetics called for the following result. If a particle is dropped at random on a right-angled isosceles triangle, and thus allowed to execute symmetrical Brownian motion, the chance that it will first leave the triangle via the hypotenuse is 0.41062. An inequality and two methods of deriving this probability are illustrated. The most useful source of solutions to diffusion problems of this kind is the torsion problem of elasticity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0654459

Entities

People

  • G. S. Watson
  • William Smith

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Biological Sciences
  • Brownian Motion
  • Diffusion
  • Elastic Properties
  • Genetics
  • Inequalities
  • Mathematics
  • Molecular Genetics
  • Particles
  • Probability
  • Triangles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Molecular and genetic basis of cancer.

Technology Areas

  • Biotechnology