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Mathematical and Theoretical Neuroscience

Cell, Network and Data Analysis

  • Book
  • © 2017

Overview

Editors:
  1. Giovanni Naldi

    1. Environment Science and Policy, University of Milan, Milan, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. Thierry Nieus

    1. Department of Biomedical and Clinical Sciences, University of Milan, Milan, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Offers a survey on recent hot topics in computational neuroscience
  • Includes state of the art chapters (within a huge literature)
  • Provides recent applications using big data and modelling

Part of the book series: Springer INdAM Series (SINDAMS, volume 24)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. From Single Neuron Activity to Network Information Processing: Simulating Cortical Local Field Potentials and Thalamus Dynamic Regimes with Integrate-and-Fire Neurons

    • Alberto Mazzoni
    Pages 1-23

  3. Computational Modeling as a Means to Defining Neuronal Spike Pattern Behaviors

    • Siva Venkadesh, Giorgio A. Ascoli
    Pages 25-43

  4. Chemotactic Guidance of Growth Cones: A Hybrid Computational Model

    • Iolanda Morana Roccasalvo, Silvestro Micera, Pier Nicola Sergi
    Pages 45-59

  5. Mathematical Modelling of Cerebellar Granular Layer Neurons and Network Activity: Information Estimation, Population Behaviour and Robotic Abstractions

    • Shyam Diwakar, Chaitanya Nutakki, Sandeep Bodda, Arathi Rajendran, Asha Vijayan, Bipin Nair
    Pages 61-85

  6. Bifurcation Analysis of a Sparse Neural Network with Cubic Topology

    • Diego Fasoli, Anna Cattani, Stefano Panzeri
    Pages 87-98

  7. Simultaneous Jumps in Interacting Particle Systems: From Neuronal Networks to a General Framework

    • Luisa Andreis, Paolo Dai Pra, Markus Fischer
    Pages 99-110

  8. Neural Fields: Localised States with Piece-Wise Constant Interactions

    • Aytül Gökçe, Stephen Coombes, Daniele Avitabile
    Pages 111-121

  9. Mathematical Models of Visual Perception Based on Cortical Architectures

    • Marta Favali, Giovanna Citti, Alessandro Sarti
    Pages 123-133

  10. Mathematical Models of Visual Perception for the Analysis of Geometrical Optical Illusions

    • Benedetta Franceschiello, Alessandro Sarti, Giovanna Citti
    Pages 135-149

  11. Exergaming for Autonomous Rehabilitation

    • Nunzio Alberto Borghese
    Pages 151-160

  12. E-Infrastructures for Neuroscientists: The GAAIN and neuGRID Examples

    • Daniele Orlandi, Alberto Redolfi, Jérôme Revillard, David Manset, Stefan Teipel, Giovanni B. Frisoni
    Pages 161-176

  13. Theory and Application of Nonlinear Time Series Analysis

    • Angelo Di Garbo
    Pages 177-200

  14. Measures of Spike Train Synchrony and Directionality

    • Eero Satuvuori, Irene Malvestio, Thomas Kreuz
    Pages 201-222

  15. Space-by-Time Tensor Decomposition for Single-Trial Analysis of Neural Signals

    • Ioannis Delis, Arno Onken, Stefano Panzeri
    Pages 223-237

  16. Inverse Modeling for MEG/EEG Data

    • Alberto Sorrentino, Michele Piana
    Pages 239-253
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Keywords

About this book

This volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. The following subjects are considered: mathematical modelling in Neuroscience, analytical  and numerical topics;  statistical analysis in Neuroscience; Neural Networks; Theoretical Neuroscience. The book is addressed to researchers involved in mathematical models applied to neuroscience.

Editors and Affiliations

  • Environment Science and Policy, University of Milan, Milan, Italy

    Giovanni Naldi

  • Department of Biomedical and Clinical Sciences, University of Milan, Milan, Italy

    Thierry Nieus

About the editors

Prof. Giovanni Naldi studied Mathematics at the University of Pavia and at the University of Milan, where he also received his PhD in Applied Mathematics. He is currently a full professor of Numerical Analysis at the University of Milan and the director of the ADAMSS (ADvanced Applied Mathematical and Statistical Sciences) Center at the same University. His research work mainly focuses on the numerical analysis of partial differential equations, wavelet-based methods; multiscale models, non-linear evolution phenomena, biomathematics, and computational neuroscience. He has supervised eight doctoral theses and is the author of more than 60 papers. 

Prof. Thiery Nieus received his PhD in Applied Mathematics at the Department of Mathematics F. Enriques in Milan (Italy). His research focuses on the computations performed by neuronal networks. His work involves the analysis and modeling of multiscale data, ranging from single synapses to population recordings. In September 2016 he joined Marcello Massimini’s laboratory (University of Milan, Italy), working on computational models of the thalamocortical circuit and on complexity measures of TMS/EEG data.


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