Sequential and synchronous growth models related to vertex analysis and branching ratios

DOI10.1007/BF02458860zbMath0632.92002OpenAlexW4241063814WikidataQ52609772 ScholiaQ52609772MaRDI QIDQ1095835

C. L. Bowes, Michael J. Woldenberg, Keith Horsfield

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458860

zbMATH Keywords

random growthhuman bronchial treecentrifugal-order-dependent sequential modelmodels of binary tree growthsequential growth modelStrahler order branching ratiosynchronous growth model

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Related Items (3)

Centrifugal-order distributions in binary topological trees ⋮ Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations ⋮ Tree asymmetry -- a sensitive and practical measure for binary topological trees

Cites Work

• Topological analysis of binary tree structures when occasional multifurcations occur
• Growth models (including terminal and segmental branching) for topological binary trees
• Topological properties of binary trees grown with order-dependent branching probabilities
• Relation between diameter and flow in branches of the bronchial tree
• The exact probabilities of branching patterns under terminal and segmental growth hypotheses
• The probabilities of rooted tree-shapes generated by random bifurcation

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