Combinatorial fractal geometry with a biological application

John Konvalina, Igor Konfisakhar, Jack Heidel, Jim Rogers

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The solution to a deceptively simple combinatorial problem on bit strings results in the emergence of a fractal related to the Sierpinski Gasket. The result is generalized to higher dimensions and applied to the study of global dynamics in Boolean network models of complex biological systems.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
JournalFractals
Volume14
Issue number2
DOIs
StatePublished - Jun 2006

Keywords

  • Boolean Networks
  • Box-Counting Method
  • Combinatorics
  • Entropy
  • Fractal Geometry
  • Sierpinski Gasket
  • Stirling Numbers

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Combinatorial fractal geometry with a biological application'. Together they form a unique fingerprint.

  • Cite this