A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes

DOI10.1007/BF02459695zbMath0615.92022OpenAlexW4252335021WikidataQ52610774 ScholiaQ52610774MaRDI QIDQ1821061

Wolfgang Kliemann

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf02459695

zbMATH Keywords

distributionsexpectationslimit behaviorvariancesneuronal cellsbifurcation probabilitiesbranching pattern of dendritesGalton-Watson process in varying environment

Mathematics Subject Classification ID

Trees (05C05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

Local diameter fully constrains dendritic size in basal but not apical trees of CA1 pyramidal neurons ⋮ Development of a mathematical method for classifying and comparing tree architecture using parameters from a topological model of a trifurcating botanical tree ⋮ Stochastic continuous time neurite branching models with tree and segment dependent rates ⋮ Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations ⋮ Mathematical foundations of the dendritic growth models ⋮ Hypothesis testing for neural cell growth experiments using a hybrid branching process model ⋮ Statistical evaluation of dendritic growth models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The exact probabilities of branching patterns under terminal and segmental growth hypotheses

This page was built for publication: A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes