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Graham BP, van Ooyen A (2006) Mathematical modelling and numerical simulation of the morphological development of neurons. BMC Neurosci 7 Suppl 1:S9 [PubMed]

   Continuum model of tubulin-driven neurite elongation (Graham et al 2006)

   Compartmental models of growing neurites (Graham and van Ooyen 2004)

References and models cited by this paper

References and models that cite this paper

Acebes A, Ferrús A (2000) Cellular and molecular features of axon collaterals and dendrites. Trends Neurosci 23:557-65 [PubMed]
Aeschlimann M (2000) Biophysical models of axonal pathfinding PhD Thesis
Aeschlimann M, Tettoni L (2001) Biophysical model of axonal path finding Neurocomputing 38:87-92
Alvarez J, Giuditta A, Koenig E (2000) Protein synthesis in axons and terminals: significance for maintenance, plasticity and regulation of phenotype. With a critique of slow transport theory. Prog Neurobiol 62:1-62 [PubMed]
Ascoli GA (2002) Computational neuroanatomy: Principles and methods, Ascoli GA, ed.
Ascoli GA (2002) Neuroanatomical algorithms for dendritic modelling. Network 13:247-60 [PubMed]
Bhalla US, Iyengar R (1999) Emergent properties of networks of biological signaling pathways. Science 283:381-7 [PubMed]
   Emergent properties of networks of biological signaling pathways (Bhalla, Iyengar 1999) [Model]
Bower J, Beeman D (1994) The Book of GENESIS: exploring realistic neural models with the GEneral NEural Simulation System
Bray D (1973) Branching patterns of individual sympathetic neurons in culture. J Cell Biol 56:702-12 [PubMed]
Burke RE, Marks WB, Ulfhake B (1992) A parsimonious description of motoneuron dendritic morphology using computer simulation. J Neurosci 12:2403-16 [PubMed]
Gh LI, Qin CD, Wang LW (1995) Computer model of growth cone behavior and neuronal morphogenesis J Theor Biol 174:381-389
Goodhill G, Urbach J (2003) Axon guidance and gradient detection by growth cones Modeling Neural Development, van_Ooyen A, ed. pp.95
Graham B, Van_Ooyen A (2001) Compartmental models of growing neurites Neurocomputing 38:31-36
Graham BP (2001) Pattern recognition in a compartmental model of a CA1 pyramidal neuron. Network 12:473-92 [Journal] [PubMed]
   Signal integration in a CA1 pyramidal cell (Graham 2001) [Model]
Graham BP, Lauchlan K, Mclean DR (2006) Dynamics of outgrowth in a continuum model of neurite elongation. J Comput Neurosci 20:43-60 [Journal] [PubMed]
   Continuum model of tubulin-driven neurite elongation (Graham et al 2006) [Model]
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]
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 H, Fine A (2003) Early dendritic and axonal morphogenesis Modeling Neural Development, van_Ooyen A, ed. pp.49
Hentschel H, Samuels D, Fine A (1998) Instabilities during the dendritic and axonal development of neuronal form Physica A 254:46-61
Hentschel HG, Fine A (1994) Instabilities in Cellular Dendritic Morphogenesis. Phys Rev Lett 73:3592-3595 [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]
Hillman DE (1979) Neuronal shape parameters and substructures as a basis of neuronal form. The Neurosciences (4th Study Program), F O Schmitt and F G Worden, ed. pp.477
Hines M (1984) Efficient computation of branched nerve equations. Int J Biomed Comput 15:69-76 [PubMed]
Hines ML, Carnevale NT (1997) The NEURON simulation environment. Neural Comput 9:1179-209 [PubMed]
Janulevicius A, van Pelt J, van Ooyen A (2006) Compartment volume influences microtubule dynamic instability: a model study. Biophys J 90:788-98 [Journal] [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]
Krottje JK, van Ooyen A (2007) A mathematical framework for modeling axon guidance. Bull Math Biol 69:3-31 [Journal] [PubMed]
Li GH, Qin CD, Li MH (1994) On the mechanisms of growth cone locomotion: modeling and computer simulation. J Theor Biol 169:355-62 [Journal] [PubMed]
Mainen ZF, Sejnowski TJ (1996) Influence of dendritic structure on firing pattern in model neocortical neurons. Nature 382:363-6 [Journal] [PubMed]
   Influence of dendritic structure on neocortical neuron firing patterns (Mainen and Sejnowski 1996) [Model]
Mascagni MV, Sherman AS (1998) Numerical methods for neuronal modelling. Methods in Neuronal Modeling From Synapses to Networks, 2nd Edition, Koch C:Segev I, ed. pp.569
Maskery SM, Buettner HM, Shinbrot T (2004) Growth cone pathfinding: a competition between deterministic and stochastic events. BMC Neurosci 5:22 [Journal] [PubMed]
Mclean D, Graham B (2004) Mathematical formulation and analysis of a continuum model for tubulin-driven neurite elongation Proc Roy Soc Lond 460:2437-2456
Mclean D, van_Ooyen A, Graham B (2004) Continuum model for tubulin-driven neurite elongation Neurocomputing 58:511-516
Mel BW (1993) Synaptic integration in an excitable dendritic tree. J Neurophysiol 70:1086-101 [Journal] [PubMed]
Miller KE, Samuels DC (1997) The axon as a metabolic compartment: protein degradation, transport, and maximum length of an axon. J Theor Biol 186:373-9 [Journal] [PubMed]
Mogilner A, Edelstein-Keshet L (2002) Regulation of actin dynamics in rapidly moving cells: a quantitative analysis. Biophys J 83:1237-58 [Journal] [PubMed]
Odde DJ (1997) Estimation of the diffusion-limited rate of microtubule assembly. Biophys J 73:88-96 [Journal] [PubMed]
Odde DJ, Cassimeris L, Buettner HM (1995) Kinetics of microtubule catastrophe assessed by probabilistic analysis. Biophys J 69:796-802 [Journal] [PubMed]
Pedigo S, Williams RC (2002) Concentration dependence of variability in growth rates of microtubules. Biophys J 83:1809-19 [Journal] [PubMed]
Samsonovich AV, Ascoli GA (2003) Statistical morphological analysis of hippocampal principal neurons indicates cell-specific repulsion of dendrites from their own cell. J Neurosci Res 71:173-87 [Journal] [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]
Samuels DC, Hentschel HG, Fine A (1996) The origin of neuronal polarization: a model of axon formation. Philos Trans R Soc Lond B Biol Sci 351:1147-56 [Journal] [PubMed]
Segev I, Fleshman JW, Burke RE (1998) Compartmental models of complex neurons Methods in Neuronal Modeling, Koch C:Segev I, ed. pp.93
Segev R, Ben-Jacob E (2000) Generic modeling of chemotactic based self-wiring of neural networks. Neural Netw 13:185-99 [PubMed]
Segev R, Ben-Jacob E (2001) Chemical waves and internal energy during cooperative self-wiring of neural nets Neurocomputing 38:875-879
Shefi O, Golebowicz S, Ben-Jacob E, Ayali A (2005) A two-phase growth strategy in cultured neuronal networks as reflected by the distribution of neurite branching angles. J Neurobiol 62:361-8 [Journal] [PubMed]
Shefi O, Harel A, Chklovskii D, Ben-Jacob E, Ayali A (2004) Biophysical constraints on neuronal branching Neurocomputing 58:487-495
Smith DA, Simmons RM (2001) Models of motor-assisted transport of intracellular particles. Biophys J 80:45-68 [Journal] [PubMed]
Tamori Y (1993) Theory of dendritic morphology. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:3124-3129 [PubMed]
van Ooyen A, Duijnhouwer J, Remme MW, van Pelt J (2002) The effect of dendritic topology on firing patterns in model neurons. Network 13:311-25 [PubMed]
Van Pelt J, Uylings HB (1999) Natural variability in the geometry of dendritic branching patterns. Modeling in the Neurosciences, From Ionic Channels to Neural Networks, RR Poznanski, ed. pp.79
Van Veen MP, Van Pelt J (1994) Neuritic growth rate described by modeling microtubule dynamics. Bull Math Biol 56:249-73 [PubMed]
van_Ooyen A (2003) Modeling Neural Development
Van_ooyen A, Graham B, Ramakers G (2001) Competition for tubulin between growing neurites during development Neurocomputing 38:73-78
van_Ooyen A, van_Pelt J (2002) Competition in neuronal morphogenesis and the development of nerve connections Computational Neuroanatomy: Principles and Methods, Ascoli G, ed. pp.219
Van_Pelt J, Graham B, Uylings H (2003) Formation of dendriticbranching patterns Modeling Neural Development (chapter 4), van_Ooyan A, ed. pp.75
van_Veen M, van_Pelt J (1992) A model for outgrowth of branching neurites J Theor Biol 159:1-23
Willshaw D, Price D (2003) Models for topographic map formation Modeling Neural Development, van_Ooyen A, ed. pp.213
Diehl S, Henningsson E, Heyden A (2016) Efficient simulations of tubulin-driven axonal growth. J Comput Neurosci 41:45-63 [Journal] [PubMed]
   Axon growth model (Diehl et al. 2016) [Model]
Sterratt D, Graham B, Gillies A, Willshaw D (2011) Principles of Computational Modelling in Neuroscience, Cambridge University Press :1-401 [Journal]
   Principles of Computational Modelling in Neuroscience (Book) (Sterratt et al. 2011) [Model]
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