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viii | |
Preface |
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x | |
Acknowledgements |
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xii | |
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1 | (12) |
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1.1 What is this book about? |
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1 | (8) |
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9 | (4) |
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Chapter 2 The basis of electrical activity in the neuron |
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13 | (34) |
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2.1 The neuronal membrane |
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14 | (2) |
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2.2 Physical basis of ion movement in neurons |
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16 | (6) |
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2.3 The resting membrane potential: the Nernst equation |
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22 | (4) |
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2.4 Membrane ionic currents not at equilibrium: the Goldman-Hodgkin-Katz equations |
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26 | (4) |
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2.5 The capacitive current |
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30 | (1) |
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2.6 The equivalent electrical circuit of a patch of membrane |
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30 | (5) |
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2.7 Modelling permeable properties in practice |
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35 | (1) |
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2.8 The equivalent electrical circuit of a length of passive membrane |
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36 | (3) |
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39 | (6) |
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45 | (2) |
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Chapter 3 The Hodgkin-Huxley model of the action potential |
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47 | (25) |
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47 | (3) |
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3.2 The development of the model |
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50 | (10) |
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3.3 Simulating action potentials |
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60 | (5) |
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3.4 The effect of temperature |
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65 | (1) |
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3.5 Building models using the Hodgkin-Huxley formalism |
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66 | (5) |
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71 | (1) |
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Chapter 4 Compartmental models |
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72 | (24) |
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4.1 Modelling the spatially distributed neuron |
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72 | (1) |
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4.2 Constructing a multi-compartmental model |
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73 | (4) |
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4.3 Using real neuron morphology |
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77 | (6) |
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4.4 Determining passive properties |
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83 | (4) |
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87 | (6) |
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4.6 Adding active channels |
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93 | (2) |
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95 | (1) |
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Chapter 5 Models of active ion channels |
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96 | (37) |
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5.1 Ion channel structure and function |
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97 | (2) |
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5.2 Ion channel nomenclature |
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99 | (4) |
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5.3 Experimental techniques |
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103 | (2) |
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5.4 Modelling ensembles of voltage-gated ion channels |
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105 | (5) |
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5.5 Markov models of ion channels |
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110 | (5) |
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5.6 Modelling ligand-gated channels |
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115 | (3) |
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5.7 Modelling single channel data |
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118 | (6) |
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5.8 The transition state theory approach to rate coefficients |
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124 | (7) |
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5.9 Ion channel modelling in theory and practice |
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131 | (1) |
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132 | (1) |
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Chapter 6 Intracellular mechanisms |
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133 | (39) |
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6.1 Ionic concentrations and electrical response |
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133 | (1) |
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6.2 Intracellular signalling pathways |
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134 | (3) |
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6.3 Modelling intracellular calcium |
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137 | (1) |
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138 | (2) |
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140 | (3) |
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143 | (8) |
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151 | (8) |
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6.8 Complex intracellular signalling pathways |
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159 | (4) |
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163 | (6) |
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169 | (1) |
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170 | (2) |
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172 | (24) |
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172 | (1) |
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7.2 The postsynaptic response |
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173 | (6) |
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7.3 Presynaptic neurotransmitter release |
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179 | (8) |
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7.4 Complete synaptic models |
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187 | (2) |
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7.5 Long-lasting synaptic plasticity |
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189 | (2) |
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7.6 Detailed modelling of synaptic components |
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191 | (1) |
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192 | (2) |
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194 | (2) |
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Chapter 8 Simplified models of neurons |
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196 | (30) |
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8.1 Reduced compartmental models |
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198 | (6) |
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8.2 Integrate-and-fire neurons |
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204 | (7) |
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8.3 Making integrate-and-fire neurons more realistic |
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211 | (7) |
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8.4 Spike-response model neurons |
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218 | (2) |
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220 | (4) |
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224 | (2) |
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Chapter 9 Networks of neurons |
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226 | (41) |
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9.1 Network design and construction |
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227 | (6) |
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9.2 Schematic networks: the associative memory |
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233 | (10) |
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9.3 Networks of simplified spiking neurons |
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243 | (8) |
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9.4 Networks of conductance-based neurons |
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251 | (3) |
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9.5 Large-scale thalamocortical models |
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254 | (5) |
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9.6 Modelling the neurophysiology of deep brain stimulation |
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259 | (6) |
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265 | (2) |
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Chapter 10 The development of the nervous system |
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267 | (47) |
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10.1 The scope of developmental computational neuroscience |
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267 | (2) |
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10.2 Development of nerve cell morphology |
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269 | (10) |
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10.3 Development of cell physiology |
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279 | (1) |
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10.4 Development of nerve cell patterning |
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280 | (4) |
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10.5 Development of patterns of ocular dominance |
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284 | (2) |
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10.6 Development of connections between nerve and muscle |
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286 | (8) |
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10.7 Development of retinotopic maps |
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294 | (18) |
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312 | (2) |
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314 | (5) |
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11.1 The development of computational modelling in neuroscience |
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314 | (1) |
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11.2 The future of computational neuroscience |
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315 | (3) |
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318 | (1) |
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319 | (9) |
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319 | (5) |
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324 | (2) |
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A.3 General-purpose mathematical software |
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326 | (2) |
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Appendix B Mathematical methods |
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328 | (23) |
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B.1 Numerical integration methods |
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328 | (5) |
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B.2 Dynamical systems theory |
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333 | (8) |
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B.3 Common probability distributions |
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341 | (5) |
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346 | (5) |
References |
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351 | (31) |
Index |
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382 | |