Electrical dynamics of the dendritic space

Cover......Page 1
Frontmatter......Page 2
Contents......Page 6
Preface......Page 10
1.1 The biologist......Page 14
1.2 The physicist......Page 21
1.3 The physicist and the biologist......Page 22
References......Page 23
2.1 Brief historical background......Page 26
2.2 Single neuron labelling......Page 28
2.3 Dendritic quantification......Page 30
2.4 Data quality and morphological noise......Page 35
2.5 Models of neurons......Page 38
References......Page 44
3.1 Ions as carriers of current......Page 50
3.2 Selective ion permeability of neuronal membrane......Page 51
3.3 Ion pumps......Page 52
3.4 Ion channels......Page 53
3.6 Effective equilibrium potential of multicomponent ion current......Page 54
3.7 Membrane capacitance and capacitive current......Page 55
3.9 Local current--voltage (I--V) relations......Page 56
Reference......Page 59
4.1 Dendrites as electrical cables......Page 60
4.2 The cable equation......Page 62
4.3 Additional conditions required for solution......Page 66
4.4 Input--output (point-to-point) relations in dendritic cables......Page 69
References......Page 70
5.1 Dendritic cables in the steady state......Page 72
5.2 Voltage transients in dendritic cables......Page 75
6.1 Charge transfer ratio......Page 78
6.2 Somatopetal current transfer and somatofugal voltage spread......Page 79
6.3 Current transfer ratio for passive paths at different boundary conditions......Page 84
6.4 Local electro-geometrical coupling in non-uniform paths......Page 85
6.5 Current transfer from distributed dendritic sources......Page 88
References......Page 89
7 - Electrical structure of an artificial dendritic path......Page 90
7.1 Electrical structure of passive paths with single-site inputs......Page 92
7.2 Electrical structure of paths with distributed tonic inputs......Page 94
References......Page 107
8.1 Theory for different configurations......Page 108
8.2 Electrical structure of passive branching paths with single-site inputs......Page 113
8.3 Electrical structure of a bifurcation receiving distributed tonic inputs......Page 115
8.4 Recapitulation and conclusions......Page 124
References......Page 125
9 - Geography of the dendritic space......Page 126
9.1 Dendritic arborization in 3D and 2D representations......Page 127
9.2 Distinct 3D dendritic landscapes......Page 131
9.3 Digitized dendritic arborizations......Page 134
References......Page 138
10.1 Geometry of an example dendrite......Page 140
10.2 Passive dendrite with single-site inputs......Page 142
10.3 Dendrites with distributed inputs......Page 143
10.4 Reconfigurations of passive electrical structures......Page 149
References......Page 152
11.1 Organization of the spatial electrical profiles......Page 154
11.2 Robustness of the electrical bundles......Page 163
11.3 Dynamic reconfigurations of the whole electrical structure......Page 165
11.4 Spatial aspects of reconfigured electrical structure......Page 169
11.5 Complexity of the whole arborization and its electrical domains......Page 172
References......Page 173
12 - Electrical structures in 3D dendritic space......Page 174
12.1 The 3D electrical structures of Purkinje neurons......Page 175
12.3 The 3D electrical structures of motoneurons......Page 177
12.4 High-efficiency domain of the motoneuronal arborizations in 3D......Page 179
12.5 Bistable dendritic field......Page 181
References......Page 184
13.1 Terminology to describe the repertoire of neuronal discharges......Page 186
13.2 Geometry-induced features of Purkinje cell discharges......Page 187
13.3 Geometry-dependent repertoire of pyramidal cell activity......Page 202
13.4 Some general rules......Page 206
References......Page 207
14 - Concluding remarks......Page 210
14.1 Impact for interpretation of neuronal discharges......Page 212
14.3 Speculation for the future......Page 213
References......Page 215
Index......Page 218