Signal transfer in passive dendrites with nonuniform membrane conductance

Journal of Neuroscience

Volumn 19, Issue 19, 1999, Pages 8219-8233

  London, Michael ^a   Meunier, Claude ^b,c   Segev, Idan ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b ECOLE POLYTECHNIQUE   (France)

^c UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Cable theory; Compartmental modeling; Dendritic ion channels; Dendritic signal transfer; Dendritic transients; Nonuniform membrane conductances

Indexed keywords

ION CHANNEL;

ARTICLE; COMPARTMENT MODEL; DENDRITE; MEMBRANE CONDUCTANCE; PRIORITY JOURNAL; SYNAPSE; THEORY;

EID: 0033216127     PISSN: 02706474     EISSN: None     Source Type: Journal    
DOI: 10.1523/jneurosci.19-19-08219.1999     Document Type: Article

References (71)

1. Abbott LF (1992) Simple diagrammatic rules for solving dendritic cable problems. Physica A 185:343-356.
2. Abbott LF, Farhi E, Gutmann S (1991) The path integral for dendritic trees. Biol Cybern 66:49-60.
3. Abramowitz M, Stegun IA (1970) Handbook of mathematical functions. New York: Dover.
4. Agmon-Snir H, Segev I (1993) Signal delay and input synchronization in passive dendritic structures. J Neurophysiol 70:2066-2085.
5. Barrett JN, Crill WE (1974) Specific membrane properties of cat motoneurones. J Physiol (Lond) 239:301-324.
6. Bernander O, Douglas RJ, Martin KA, Koch C (1991) Synaptic background activity determines spatio-temporal integration in single pyramidal cells. Proc Natl Acad Sci USA 88:11569-11573.
7. Bernander O, Koch C, Douglas RJ (1994) Amplification and linearization of distal synaptic input to cortical pyramidal cells. J Neurophysiol 72:2743-2753.
8. Bischofberger J, Jonas P (1997) Action potential propagation into the presynaptic dendrites of rat mitral cells. J Physiol (Lond) 504:359-365.
9. Bressloff PC, Taylor JG (1993) Compartmental-model response function for dendritic trees. Biol Cybern 70:199-207.
10. Butz EG, Cowan JD (1974) Transient potentials in dendritic systems of arbitrary geometry. Biophys J 14:661-689.
11. Chen WR, Midtgaard J, Shepherd GM (1997) Forward and backward propagation of dendritic impulses and their synaptic control in mitral cells. Science 278:463-467.
12. Clements JD, Redman SJ (1989) Cable properties of cat spinal motoneurones measured by combining voltage clamp, current clamp and intracellular staining. J Physiol (Lond) 409:63-87.
13. De Schutter E, Bower JM (1994) Simulated responses of cerebellar Purkinje cells are independent of the dendritic location of granule cell synaptic inputs. Proc Natl Acad Sci USA 91:4736-4740.
14. Dodt HU, Zieglgansberger W (1994) Infrared videomicroscopy: a new look at neuronal structure and function. Trends Neurosci 17:453-458.
15. Durand D (1984) The somatic shunt cable model for neurons. Biophys J 46:645-653.
16. Fleshman JW, Segev I, Burke RE (1988) Electrotonic architecture of type-identified α-motoneurons in the cat spinal cord. J Neurophysiol 60:60-85.
17. Haag J, Borst A (1996) Amplification of high-frequency synaptic inputs by active dendritic membrane processes. Nature 379:639-641.
18. Hille B (1992) Ionic channels of excitable membranes. Sunderland, MA: Sinauer.
19. Hines ML, Carnevale NT (1997) The NEURON simulation environment. Neural Comput 9:1179-1209.
20. + channels regulation of signal propagation in dendrites of hippocampal pyramidal neurons. Nature 387:869-875.
21. Holmes WR (1989) The role of dendritic diameters in maximizing the effectiveness of synaptic inputs. Brain Res 478:127-137.
22. Holmes WR, Rall W (1992a) Electrotonic length estimates in neurons with dendritic tapering or somatic shunt. J Neurophysiol 68:1421-1437.
23. Holmes WR, Rall W (1992b) Estimating the electrotonic structure of neurons with compartmental models. J Neurophysiol 68:1438-1451.
24. Holmes WR, Segev I, Rall W (1992) Interpretation of time constant and electrotonic length estimates in multicylinder or branched neuronal structures. J Neurophysiol 68:1401-1420.
25. Holmes WR, Woody CD (1989) Effects of uniform and non-uniform synaptic "activation-distributions" on cable properties of modeled cortical pyramidal neurons. Brain Res 505:12-22.
26. Horwitz B (1981) An analytical method for investigating transient potentials in neurons with branching dendritic trees. Biophys J 36:155-192.
27. Horwitz B (1983) Unequal diameters and their effects on time-varying voltages in branched neurons. Biophys J 41:51-66.
28. Iansek R, Redman SJ (1973) An analysis of the cable properties of spinal motoneurones using a brief intracellular current pulse. J Physiol (Lond) 234:613-636.
29. Johnston D, Magee JC, Colbert CM, Cristie BR (1996) Active properties of neuronal dendrites. Annu Rev Neurosci 19:165-186.
30. 2+ channels characterized by recordings from isolated hippocampal dendritic segments. Neuron 18:651-663.
31. Kawato M (1984) Cable properties of a neuron model with nonuniform membrane resistivity. J Theor Biol 111:149-169.
32. Koch C (1999) Biophysics of Computation: information processing in single neurons. Oxford: Oxford UP.
33. Landau LD, Lifschitz EM (1997) Quantum mechanics, Ed 3. Oxford: Butterworth-Heinemann.
34. Laurent G, Seymour-Laurent KJ, Johnson K (1993) Dendritic excitability and a voltage-gated calcium current in locust nonspiking local interneurons. J Neurophysiol 69:1484-1498.
35. Llinas R, Sugimori M (1980) Electrophysiological properties of in vitro Purkinje cell dendrites in mammalian cerebellar slices. J Physiol (Lond) 305:197-213.
36. Lorente de No' R (1947) Action potential of the motoneurons of the hypoglossus nucleus. J Cell Comp Physiol 29:207-287.
37. Magee JC (1998) Dendritic hyperpolarization-activated currents modify the integrative properties of hippocampal CA1 pyramidal neurons. J Neurosci 18:7613-7624.
38. Mainen ZF, Sejnowski TJ (1996) Influence of dendritic structure on firing pattern in model neocortical neurons. Nature 382:363-366.
39. Major G, Evans JD, Jack JJB (1993a) Solutions for transients in arbitrarily branching cables: I. Voltage recording with a somatic shunt. Biophys J 65:423-449.
40. Major G, Evans JD, Jack JJB (1993b) Solutions for transients in arbitrarily branching cables: II. Voltage clamp theory. Biophys J 65:450-468.
41. Major G, Evans JD, Jack JJB (1993c) Solutions for transients in arbitrarily branching cables: III. Voltage clamp problems. Biophys J 65:469-491.
42. Mel BW (1994) Information processing in dendritic trees. Neural Comput 6:1427-1439.
43. Miller JP, Rall W, Rinzel J (1985) Synaptic amplification by active membrane in dendritic spines. Brain Res 325:325-330.
44. Nicoll A, Larkman A, Blakemore C (1993) Modulation of EPSP shape and efficacy by intrinsic membrane conductances in rat neocortical pyramidal neurons in vitro. J Physiol (Lond) 468:693-710.
45. Pinsky PF, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced traub model for CA3 neurons. J Comput Neurosci 1:39-60.
46. Poznanski RR (1988) Membrane voltage changes in passive dendritic trees: a tapering equivalent cylinder model. IMA J Math Appl Med Biol 5:113-145.
47. Rall W (1959) Branching dendritic trees and motoneuron membrane resistivity. Exp Neurol 1:491-527.
48. Rall W (1962) Theory of physiological properties of dendrites. Ann NY Acad Sci 96:1071-1092.
49. Rall W (1969) Time constants and electrotonic length of membrane cylinders and neurons. Biophys J 9:1483-1508.
50. Rall W, Agmon-Snir H (1998) Cable theory for dendritic neurons. In: Methods in neuronal modeling: from ions to networks, Ed 2 (Koch C, Segev I, eds), pp 27-92. Cambridge, MA: MIT.
51. Rall W, Rinzel J (1973) Branch input resistance and steady attenuation for input to one branch of a dendritic neuron model. Biophys J 13:648-688.
52. Rall W, Shepherd GM (1968) Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb. J Neurophysiol 31:884-915.
53. Rapp M, Segev I, Yarom Y (1994) Physiology, morphology and detailed passive models of cerebellar Purkinje cells. J Physiol (Lond) 474:101-118.
54. Rapp M, Yarom Y, Segev I (1992) The impact of parallel fiber background activity on the cable properties of cerebellar Purkinje cells. Neural Comput 4:518-533.
55. Rinzel J, Rall W (1974) Transient response in a dendritic neuron model for current injected at one branch. Biophys J 14:759-790.
56. Schierwagen AK (1989) A non-uniform equivalent cable model of membrane voltage changes in a passive dendritic tree. J Theor Biol 141:159-179.
57. Schwindt PC, Crill WE (1995) Amplification of synaptic current by persistent sodium conductance in apical dendrite of neocortical neurons. J Neurophysiol 74:2220-2224.
58. Segev I, Friedman A, White E, Gutnick M (1995) Electrical consequences of spine dimensions in a model of a cortical spiny stellate cell completely reconstructed from serial thin sections. J Comput Neurosci 2:117-130.
59. Segev I, Rall W (1988) Computational study of an excitable dendritic spine. J Neurophysiol 60:499-523.
60. Segev I, Rall W (1998) Excitable dendrites and spines: earlier theoretical insights elucidate recent direct observations. Trends Neurosci 21:453-460.
61. Shepherd GM, Brayton RK, Miller JP, Segev I, Rinzel J, Rall W (1985) Signal enhancement in distal cortical dendrites by means of interactions between active dendritic spines. Proc Natl Acad Sci USA 82:2192-2195.
62. Siegel M, Marder E, Abbott LF (1994) Activity-dependent current distributions in model neurons. Proc Natl Acad Sci USA 91:11308-11312.
63. Spencer WA, Kandel ER (1961) Electrophysiology of hippocampal neurons. IV. Fast pre-potentials. J Neurophysiol 24:272-285.
64. Spiegel MR (1968) Mathematical handbook. Schaum's outline series. New York: McGraw-Hill.
65. Stuart G, Häusser M (1994) Initiation and spread of sodium action potentials in cerebellar Purkinje cells. Neuron 13:703-712.
66. Stuart GM, Dodt HU, Sakmann B (1993) Patch-clamp recordings from the soma and dendrites of neurons in brain slices using infrared video microscopy. Pflügers Arch 423:511-518.
67. Stuart GM, Sakmann B (1995) Amplification of EPSPs by axosomatic sodium channels in neocortical pyramidal neurons. Neuron 15:1-20.
68. Stuart GM, Spruston N (1998) Determinants of voltage attenuation in neocortical pyramidal neuron dendrites. J Neurosci 18:3501-3510.
69. Turrigiano G, LeMasson G, Marder E (1995) Selective regulation of current densities underlies spontaneous changes in the activity of cultured neurons. J Neurosci 15:3640-3652.
70. Wilson CJ (1995) Dynamic modification of dendritic cable properties and synaptic transmission by voltage-gated potassium channels. J Comput Neurosci 2:91-115.
71. Wolfram S (1991) Mathematica: a System for doing mathematics by computer, Ed 2. Redding, MA: Addison-Wesley.