Citation Relationships

Legends: Link to a Model Reference cited by multiple papers

van Elburg R (2011) Stochastic Continuous Time Neurite Branching Models with Tree and Segment Dependent Rates Journal of Theoretical Biology 276(1):159-173 [PubMed]

   Continuous time stochastic model for neurite branching (van Elburg 2011)

References and models cited by this paper

References and models that cite this paper

Ascoli GA (2002) Neuroanatomical algorithms for dendritic modelling. Network 13:247-60 [PubMed]
Ascoli GA, Krichmar JL (2000) L-Neuron: a modeling tool for the efficient generation and parsimonious description of dendritic morphology. Neurocomputing 32:1003-1011
Asmussen S, Hering H (1983) Branching Processes
Athreya KB, Ney PE (1970) Branching Processes
Bell AD, Roberts D, Smith A (1979) Branching patterns: the simulation of plant architecture. J Theor Biol 81:351-75 [PubMed]
Cardanobile S, Rotter S (2010) Multiplicatively interacting point processes and applications to neural modeling. J Comput Neurosci 28:267-84 [Journal] [PubMed]
Chornoboy ES, Schramm LP, Karr AF (1988) Maximum likelihood identification of neural point process systems. Biol Cybern 59:265-75 [PubMed]
Cox DR, Lewis PAW (1966) The statistical analysis of series of events
De_reffye P, Houllier F (1997) Modelling plant growth and architecture: Some recent advances and applications to agronomy and forestry Curr Sci 73:984-992
Dehling HG, Kalma JN (1995) Kansrekening,het zekere voor het onzekere
Devaud JM, Quenet B, Gascuel J, Masson C (2000) Statistical analysis and parsimonious modelling of dendrograms of in vitro neurones. Bull Math Biol 62:657-74 [Journal] [PubMed]
Dityatev AE, Chmykhova NM, Studer L, Karamian OA, Kozhanov VM, Clamann HP (1995) Comparison of the topology and growth rules of motoneuronal dendrites. J Comp Neurol 363:505-16 [Journal] [PubMed]
Eberhard JP, Wanner A, Wittum G (2006) NeuGen: a tool for the generation of realistic morphology of cortical neurons and neural networks in 3D Neurocomputing 70:327-342 [Journal]
Godin C, Costes E, Sinoquet H () A method for describing plant architecture which integrates topology and geometry Ann Bot 84:343-357
Graham BP, van Ooyen A (2004) Transport limited effects in a model of dendritic branching. J Theor Biol 230:421-32 [Journal] [PubMed]
   Compartmental models of growing neurites (Graham and van Ooyen 2004) [Model]
Harding EF (1971) The probabilities of rooted tree shapes generated by random bifurcation J Applied Probability 3:44-77
Hawkes AG (1971) Spectra of some self-exciting and mutually-exciting point process Biometrika 58:83-90
Hely TA, Graham B, Ooyen AV (2001) A computational model of dendrite elongation and branching based on MAP2 phosphorylation. J Theor Biol 210:375-84 [Journal] [PubMed]
Hentschel HG, Fine A (1996) Diffusion-regulated control of cellular dendritic morphogenesis. Proc Biol Sci 263:1-8 [Journal] [PubMed]
Hentschel HG, van Ooyen A (1999) Models of axon guidance and bundling during development. Proc Biol Sci 266:2231-8 [Journal] [PubMed]
Horton RE (1945) Erosional development of streams and their drainage basins- hydrophysical approach to quantitative morphology Geol Soc Am Bull 56:275-370
Johnson DH (1996) Point process models of single-neuron discharges. J Comput Neurosci 3:275-99 [PubMed]
Kiddie G, McLean D, Van Ooyen A, Graham B (2005) Biologically plausible models of neurite outgrowth. Prog Brain Res, van Pelt J: Kamermans M: Levelt C: van Ooyen A: Ramakers G: Roelfsema P, ed. pp.67 [Journal] [PubMed]
Kimmel M, Axelrod DE (2002) Branching processes in biology
Kliemann W (1987) A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes. Bull Math Biol 49:135-52 [PubMed]
Koene RA, Tijms B, van Hees P, Postma F, de Ridder A, Ramakers GJ, van Pelt J, van Ooyen A (2009) NETMORPH: a framework for the stochastic generation of large scale neuronal networks with realistic neuron morphologies. Neuroinformatics 7:195-210 [Journal] [PubMed]
   NETMORPH: creates NNs with realistic neuron morphologies (Koene et al. 2009, van Ooyen et al. 2014) [Model]
Nowakowski RS, Hayes NL, Egger MD (1992) Competitive interactions during dendritic growth: a simple stochastic growth algorithm. Brain Res 576:152-6 [PubMed]
RALL W (1959) Branching dendritic trees and motoneuron membrane resistivity. Exp Neurol 1:491-527 [PubMed]
Samsonovich AV, Ascoli GA (2005) Statistical determinants of dendritic morphology in hippocampal pyramidal neurons: A hidden Markov model. Hippocampus 15:166-83 [Journal] [PubMed]
Shreve RL (1966) Statistical law of stream numbers J Geol 74(1):17
Sismilich M, Menzies MI, Gandar PW, Jameson PE, Clemens J () Development of a mathematical method for classifying and comparing tree architecture using parameters from a topological model of a trifurcating botanical tree J Theor Biol 220(3):371-391
Torben-Nielsen B, Vanderlooy S, Postma EO (2008) Non-parametric algorithmic generation of neuronal morphologies. Neuroinformatics 6:257-77 [Journal] [PubMed]
Uemura E, Carriquiry A, Kliemann W, Goodwin J (1995) Mathematical modeling of dendritic growth in vitro. Brain Res 671:187-94 [PubMed]
van Elburg RA, van Ooyen A (2010) Impact of dendritic size and dendritic topology on burst firing in pyramidal cells. PLoS Comput Biol 6:e1000781 [Journal] [PubMed]
   Impact of dendritic size and topology on pyramidal cell burst firing (van Elburg and van Ooyen 2010) [Model]
van Pelt J, Dityatev AE, Uylings HB (1997) Natural variability in the number of dendritic segments: model-based inferences about branching during neurite outgrowth. J Comp Neurol 387:325-40 [PubMed]
van Pelt J, Schierwagen A (2009) Morphological analysis and modeling of neuronal dendrites. Math Biosci 188:147-55
van Pelt J, Uylings HB (2002) Branching rates and growth functions in the outgrowth of dendritic branching patterns. Network 13:261-81 [PubMed]
Van Pelt J, Uylings HB, Verwer RW, Pentney RJ, Woldenberg MJ (1992) Tree asymmetry--a sensitive and practical measure for binary topological trees. Bull Math Biol 54:759-84 [PubMed]
van Pelt J, van Ooyen A, Uylings HB (2001) The need for integrating neuronal morphology databases and computational environments in exploring neuronal structure and function. Anat Embryol (Berl) 204:255-65 [PubMed]
Van Pelt J, Verwer RW (1983) The exact probabilities of branching patterns under terminal and segmental growth hypotheses. Bull Math Biol 45:269-85 [PubMed]
Van Pelt J, Verwer RW (1986) Topological properties of binary trees grown with order-dependent branching probabilities. Bull Math Biol 48:197-211 [PubMed]
van Veen MP, van Pelt J (1993) Terminal and intermediate segment lengths in neuronal trees with finite length. Bull Math Biol 55:277-94 [PubMed]
Van_pelt J, Uylings HBM (2007) Modeling Biology-Structures, Behaviors, Evolution, chapter Modeling Neuronal Growth and Shape :195-215
Veen A, Schoenberg FP () Estimation of space-time branching process models in seismology using an em-type algorithm J Am Stat Assoc 103:614-624
Verwer RW, Van Pelt J (1990) Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations. Bull Math Biol 52:629-41 [PubMed]
Villacorta JA, Castro J, Negredo P, AvendaƱo C (2007) Mathematical foundations of the dendritic growth models. J Math Biol 55:817-59 [Journal] [PubMed]
Zhuang J () Gambling scores for earthquake predictions and forecasts Geophys J Int 181(1):382-390
Zubler F, Douglas R (2009) A framework for modeling the growth and development of neurons and networks. Front Comput Neurosci 3:25 [Journal] [PubMed]
(48 refs)