Optimal orientation in branched cytoskeletal networks

D. A. Quint, J. M. Schwarz

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Actin cytoskeletal protrusions in crawling cells, or lamellipodia, exhibit various morphological properties such as two characteristic peaks in the distribution of filament orientation with respect to the leading edge. To understand these properties, using the dendritic nucleation model as a basis for cytoskeletal restructuring, a kinetic-population model with orientational-dependent branching (birth) and capping (death) is constructed and analyzed. Optimizing for growth yields a relation between the branch angle and filament orientation that explains the two characteristic peaks. The model also exhibits a subdominant population that allows for more accurate modeling of recent measurements of filamentous actin density along the leading edge of lamellipodia in keratocytes. Finally, we explore the relationship between orientational and spatial organization of filamentous actin in lamellipodia and address recent observations of a prevalence of overlapping filaments to branched filaments-a finding that is claimed to be in contradiction with the dendritic nucleation model.

Original languageEnglish (US)
Pages (from-to)735-755
Number of pages21
JournalJournal of Mathematical Biology
Issue number4
StatePublished - Oct 2011


  • Actin cytoskeleton
  • Dendritic nucleation model
  • Lamellipodia

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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