Natural variability in the number of dendritic segments: Model-based inferences about branching during neurite outgrowth

Journal of Comparative Neurology

Volumn 387, Issue 3, 1997, Pages 325-340

  Van Pelt, Jaap ^a   Dityatev, Alexander E ^b   Uylings, Harry B M ^a  

^a NETHERLANDS INSTITUTE FOR NEUROSCIENCE   (Netherlands)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Dentate granule cells; Growth model; Motoneurons; Purkinje neuron; Pyramidal neuron

Indexed keywords

ARTICLE; CAT; DENDRITE; FROG; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOTONEURON; NERVE FIBER GROWTH; NONHUMAN; PRIORITY JOURNAL; PURKINJE CELL; PYRAMIDAL NERVE CELL; RAT; SPECIES DIFFERENCE;

ANIMALS; CATS; CEREBELLUM; DENDRITES; DENTATE GYRUS; HUMANS; MODELS, THEORETICAL; MOTOR NEURONS; NEURITES; NEURONS; PROBABILITY; PURKINJE CELLS; PYRAMIDAL CELLS; RANIDAE; RATS; VISUAL CORTEX;

EID: 0030883763     PISSN: 00219967     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9861(19971027)387:3<325::AID-CNE1>3.0.CO;2-2     Document Type: Article

References (43)

1. Babalian, A.L., and N.M. Chmykhova (1987) Morphophysiological description of connections between single ventrolateral tract fibers and individual motoneurons in frog spinal cord. Brain Res. 407:394-397.
2. Berry, M., and P. Bradley (1976) The growth of the dendritic trees of Purkinje cells in the cerebellum of the rat. Brain Res. 112:1-35.
3. Birinyi, A., Antal, M., Wolf, E., and G. Szekely (1992) The extent of the dendritic tree and the number of synapses in the frog motoneuron. Eur. J. Neurosci. 4:1003-1012.
4. Bray, D. (1992) Cytoskeletal basis of nerve axon growth. In P.C. Letourneau and S.B. Kater (eds): The Nerve Growth Cone. New York: Raven Press, pp. 7-17.
5. Burke, R.E., W.B. Marks, and B. Ulfhake (1992) A parsimonious description of motoneuron dendritic morphology using computer simulation. J. Neurosci. 12:2403-2416.
6. Carriquiry, A.L., W.P. Ireland, W.H. Kliemann, and E. Uemura (1992) Statistical evaluations of dendritic branching patterns. Bull. Math. Biol. 53:579-589.
7. Chen, X.Y., and J.R. Wolpaw (1994) Triceps surae motoneuron morphology in the rat: A quantitative light microscopic study. J. Comp. Neurol. 341:1-5.
8. Chmykhova, N.M., O.A. Karamyan, and V.M. Kozhanov (1987) Morphological bases of interaction between motoneurons in spinal cord isolated from young rats using HRP techniques. Neurofiziologiya 20:340-350.
9. Cox, D.R., and D.V. Hinkley (1974) Theoretical statistics. London: Chapman and Hall.
10. Cullheim, S., J.W. Fleshman, L.L. Glenn, and R.E. Burke (1987) Membrane area and dendritic structure in type identified triceps surae alpha motoneurons. J. Comp. Neurol. 255:68-81.
11. De Ruiter, J.P. and H.B.M. Uylings (1987) Morphometric and dendritic analysis of fascia dentata granule cells in human aging and senile dementia. Brain Res. 402:217-229.
12. De Schutter, E., and J.M. Bower (1994a) An active membrane model of the cerebellar Purkinje cell. I. Simulation of current clamps in slice. J. Neurophysiol. 77:375-400.
13. De Schutter, E., and J.M. Bower (1994b) An active membrane model of the cerebellar Purkinje cell. II. Simulation of synaptic responses. J. Neurophysiol. 71:401-419.
14. Dityatev, A.E., N.M. Chmykhova, L. Studer, O.A. Karamyan, V.M. Kozhanov, and H.P. Clamann (1995) Comparison of the topology and growth rules of motoneuronal dendrites. J. Comp. Neurol. 363:505-516.
15. Hillman, D.E. (1979) Neuronal shape parameters and substructures as a basis of neuronal form. In F.O. Schmitt and F.G. Worden (eds): The Neurosciences, Fourth Study Program. Cambridge, MA: MIT Press, pp. 477-498.
16. Hillman, D.E. (1988) Parameters of dendritic shape and substructures: intrinsic and extrinsic determination? In R. Lasek and M. Black (eds): Intrinsic Determinants of Neuronal Form and Function. New York: Liss, pp. 83-113.
17. Kater, S.B., R.W. Davenport, and P.B. Guthrie (1994) Filopodia as detectors of environmental cues: Signal integration through changes in growth cone calcium levels. In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): The Self-Organizing Brain: From Growth Cones to Functional Networks, Progress in Brain Research, Vol. 102. Amsterdam: Elsevier, pp. 49-60.
18. Kliemann, W. (1987) A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes. Bull. Math Biol. 49:135-152.
19. Larkman, A.L. (1991) Dendritic morphology of pyramidal neurones of the visual cortex of the rat. I. Branching patterns. J. Comp. Neurol. 306:307-310.
20. 2+-regulated proteins. In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): The Self-Organizing Brain: From Growth Cones to Functional Networks, Progress in Brain Research, Vol. 102. Amsterdam: Elsevier, pp. 35-48.
21. Martin, S.R., M.J. Schilstra, and P.M. Bayley (1993) Dynamic instability of microtubules: Monte Carlo simulation and application to different types of microtubule lattice. Biophys. J. 65:578-596.
22. Núñez-Abades, P.A., F. He, G. Barrionuevo, and W.E. Cameron (1994) Morphology of developing rat genioglossal motoneurons studied in vitro: Changes in length, branching pattern, and spatial distribution of dendrites. J. Comp. Neurol. 339:401-420.
23. Rall, W., R.E. Burke, W.R. Holmes, J.J.B. Jack, S.J. Redman, and I. Segev (1992) Matching dendritic neuron models to experimental data. Physiol. Rev. 72: S159-S186.
24. Schierwagen, A.K. (1994) Exploring the computational capabilities of single neurons by continuous cable modeling. In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): Progress in Brain Research, Vol. 102, The Self-Organizing Brain: From Growth Cones to Functional Networks. Amsterdam: Elsevier, pp. 151-167.
25. Segev, I. (1992) Single neuron models: Oversimple, complex and reduced. Trends Neurosci. 15:414-421.
26. Seress, L. and L. Mrzljak (1987) Basal dendrites of granule cells are normal features of the fetal and adult dentate gyrus of both monkey and human hippocampal formation. Brain Res. 405:169-174.
27. Studer, L., C. Spenger, J. Luthman, and R.W. Seiler (1994) NGF increases neuritic complexity of cholinergic interneurons in organotypic cultures of neonatal rat striatum. J. Comp. Neurol. 340:281-296.
28. Traub, R.D., and J.G.R. Jefferys (1994) Are there unifying principles underlying the generation of epileptic afterdischarges in vitro? In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): Progress in Brain Research, Vol. 102, The Self-Organizing Brain: From Growth Cones to Functional Networks. Amsterdam: Elsevier, pp. 383-394.
29. Uemura, E., A. Carriquiry, W. Kliemann, and J. Goodwin (1995) Mathematical modeling of dendritic growth in vitro. Brain Res. 671:187-194.
30. Ulfhake, B., S. Cullheim, and P. Franson (1988) Postnatal development of cat hind limb motoneurons. I: Changes in length, branching structure, and spatial distribution of dendrites of cat triceps surae motoneurons. J. Comp. Neurol. 278:69-87.
31. Ulfhake, B. and S. Cullheim (1988) Postnatal development of cat hindlimb motoneurons. II. In vivo morphology of dendritic growth cones and the maturation of dendritic morphology. J. Comp. Neurol. 278:88-102.
32. Ulrich, D., R. Quadroni, and H.-R. Luscher (1994) Electrotonic structure of motoneurons in spinal cord slice cultures: A comparison of compartmental and equivalent cylinder models. J. Neurophysiol. 72:861-871.
33. Uylings, H.B.M., J. van Pelt, R.W.H. Verwer, and P. McConnell (1989) Statistical analysis of neuronal populations. In J.J. Capowski (ed): Computer Techniques in Neuroanatomy. New York: Plenum, pp. 241-264.
34. Uylings, H.B.M., C.G. van Eden, J.G. Parnavelas, and A. Kalsbeek (1990) The prenatal and postnatal development of rat cerebral cortex. In B. Kolb and R.C. Tees (eds): The Cerebral Cortex of the Rat. Cambridge MA, MIT Press, pp. 35-76.
35. Uylings, H.B.M., J. van Pelt, J.G. Parnavelas, and A. Ruiz-Marcos (1994) Geometrical and topological characteristics in the dendritic development of cortical pyramidal and non-pyramidal neurons. In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): Progress in Brain Research. Vol. 102, The Self-Organizing Brain: From Growth Cones to Functional Networks. Amsterdam: Elsevier, pp. 109-123.
36. Van Pelt, J., and R.W.H. Verwer (1983) The exact probabilities of branching patterns under terminal and segmental growth hypotheses. Bull. Math. Biol. 45:269-285.
37. Van Pelt, J., and R.W.H. Verwer (1986) Topological properties of binary trees grown with order-dependent branching probabilities. Bull. Math. Biol. 48:197-211.
38. Van Pelt, J., H.B.M. Uylings, R.W.H. Verwer, R.J. Pentney, and M.J. Woldenberg (1992) Tree asymmetry: A sensitive and practical measure for binary topological trees. Bull. Math. Biol. 54:759-784.
39. Van Pelt, J., A. van Ooyen, and M.A. Corner (1996) Growth cone dynamics and activity-dependent processes in neuronal network development. In R. Ranney Mize (ed): Neural Development and Plasticity, Progress in Brain Research, Vol. 108. Amsterdam: Elsevier, pp. 333-346.
40. Van Pelt, Jaap (1997) Effect of pruning on dendritic tree topology. J. Theor. Biol. 286:17-32.
41. Van Veen, M.P., and J. van Pelt (1994) Dynamic mechanisms of neuronal outgrowth. In J. van Pelt, M.A. Corner, H.B.M. Uylings, and F.H. Lopes da Silva (eds): The Self-Organizing Brain: From Growth Cones to Functional Networks, Progress in Brain Research, Vol 102. Amsterdam: Elsevier, pp. 95-108.
42. Verwer, R.W.H., J. van Pelt, and A.J. Noest (1987) Parameter estimation in topological analysis of binary tree structures. Bull. Math. Biol. 49:363-378.
43. Woldenberg, M.J., M.P. O'Neill, L.J. Quackenbush, and R.J. Pentney (1993) Models for growth, decline and regrowth of the dendrites of rat Purkinje cells induced from magnitude and link-length analysis. J. Theor. Biol. 162:-403-429.