Book contents
- Frontmatter
- Contents
- Preface
- 1 Definition of the neuron
- 2 3D geometry of dendritic arborizations
- 3 Basics in bioelectricity
- 4 Cable theory and dendrites
- 5 Voltage transfer over dendrites
- 6 Current transfer over dendrites
- 7 Electrical structure of an artificial dendritic path
- 8 Electrical structure of a bifurcation
- 9 Geography of the dendritic space
- 10 Electrical structures of biological dendrites
- 11 Electrical structure of the whole arborization
- 12 Electrical structures in 3D dendritic space
- 13 Dendritic space as a coder of the temporal output patterns
- 14 Concluding remarks
- Index
- References
11 - Electrical structure of the whole arborization
Published online by Cambridge University Press: 03 May 2010
- Frontmatter
- Contents
- Preface
- 1 Definition of the neuron
- 2 3D geometry of dendritic arborizations
- 3 Basics in bioelectricity
- 4 Cable theory and dendrites
- 5 Voltage transfer over dendrites
- 6 Current transfer over dendrites
- 7 Electrical structure of an artificial dendritic path
- 8 Electrical structure of a bifurcation
- 9 Geography of the dendritic space
- 10 Electrical structures of biological dendrites
- 11 Electrical structure of the whole arborization
- 12 Electrical structures in 3D dendritic space
- 13 Dendritic space as a coder of the temporal output patterns
- 14 Concluding remarks
- Index
- References
Summary
The superposition of the electrical profiles of all individual dendrites of a given neuron represents the electrical structure of the whole arborization. The electrical path profiles form a complex tree-like structure that is topologically equivalent (homeomorphous) to the morphological dendritic arborization as both of them are composed of the same number of identically connected branches and paths. Due to this one-to-one correspondence between the dendritic paths and their electrical profiles, the tree-like electrical structure acquires several important features of the morphological tree such as branching pattern, path distance extent and complexity function.
Which new aspects are brought in when several individual dendrites are united in the whole arborization? Although one can expect occurrence or absence of new properties induced by the whole system, we focus on the new emerging properties in this chapter.
To find out what is the case, we explore the whole arborization electrical structure by applying the same protocols in the same sequence (passive membrane and singlesite inputs, passive or active membrane and distributed inputs) as those applied to individual dendrites in the preceding section. Namely, we start with the passive electrical structure of the whole arborization represented by the superposition of the current transfer profiles T (x) of individual dendrites, which remain the same as those computed for each extracted individual dendrite.
Organization of the spatial electrical profiles
We start by computing passive electrical structures of the whole arborization transferring single-site inputs for different neurons. The careful observation of the patterns of spatial electrical profiles reveals two main organizations.
- Type
- Chapter
- Information
- Electrical Dynamics of the Dendritic Space , pp. 141 - 160Publisher: Cambridge University PressPrint publication year: 2009