'The complex geometry of neuronal dendrites is one of the greatest challenges facing neuroscientists today. Serge Korogod and Suzanne Tyc-Dumont characterize the dendrites as an immense unknown. They have been pioneers in exploring this frontier. In this book they have distilled lifetimes of work by themselves and colleagues in France and the Ukraine to formulate new rules for how the electrical states of dendritic arborizations represent space and time in generating the neural code. In clear language they show how the interactions between these passive and active properties and dendritic geometry create different scales of dynamical dendritic space. New insights are provided into the significance of the dendrites of motoneurons, cerebellar Purkinje cells, and cortical pyramidal neurons. Their models available online give dramatic evidence for these insights. This is a key book for all those interested in dendrites and in the neural basis of cognition and behavior.' Gordon M. Shepherd, Yale University School of Medicine
1. Definition of the neuron; 2. 3D geometry of dendritic arborizations; 3. Basics in bioelectricity; 4. The cable theory and the dendrites; 5. Voltage transfer over the 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 the 3D dendritic space; 13. Dendritic space as coder of the temporal output patterns; 14. Concluding remarks.