Stochastic continuous time neurite branching models with tree and segment dependent rates
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Publication:2413830
DOI10.1016/j.jtbi.2011.01.039zbMath1405.92057arXiv1010.0605OpenAlexW2044187631WikidataQ51606335 ScholiaQ51606335MaRDI QIDQ2413830
Publication date: 17 September 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0605
cortical developmentGalton-Watson processneural developmentdendritic morphologybranching point process
Neural biology (92C20) Applications of branching processes (60J85) Developmental biology, pattern formation (92C15)
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Cites Work
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- Statistical analysis and parsimonious modelling of dendrograms of \textit{in vitro} neurones
- Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations
- Mathematical foundations of the dendritic growth models
- Topological properties of binary trees grown with order-dependent branching probabilities
- Maximum likelihood identification of neural point process systems
- Tree asymmetry -- a sensitive and practical measure for binary topological trees
- Terminal and intermediate segment lengths in neuronal trees with finite length
- Morphological analysis and modeling of neuronal dendrites.
- A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes
- The exact probabilities of branching patterns under terminal and segmental growth hypotheses
- Development of a mathematical method for classifying and comparing tree architecture using parameters from a topological model of a trifurcating botanical tree
- Transport limited effects in a model of dendritic branching
- Estimation of Space–Time Branching Process Models in Seismology Using an EM–Type Algorithm
- The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes
- Spectra of some self-exciting and mutually exciting point processes
- The probabilities of rooted tree-shapes generated by random bifurcation
- Branching processes in biology