title: Spatiotemporal multi-resolution approximation of the Amari type neural field model.
abstract: Neural fields are spatially continuous state variables described by integro-differential equations, which are well suited to describe the spatiotemporal evolution of cortical activations on multiple scales. Here we develop a multi-resolution approximation (MRA) framework for the integro-difference equation (IDE) neural field model based on semi-orthogonal cardinal B-spline wavelets. In this way, a flexible framework is created, whereby both macroscopic and microscopic behavior of the system can be represented simultaneously. State and parameter estimation is performed using the expectation maximization (EM) algorithm. A synthetic example is provided to demonstrate the framework.
authors.affiliation: Theoretical Neuroscience Group, UMR 1106, Institut de Neurosciences des Systemes, 13385 Marseille, France; Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK. Electronic address: parham.aram@univ-amu.fr.
authors.forename: P
authors.initials: P
authors.lastname: Aram
authors.affiliation: NeuroEngineering Laboratory, Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, VIC, Australia; The Bionics Institute, East Melbourne, VIC, Australia. Electronic address: deanrf@unimelb.edu.au.
authors.forename: D R
authors.initials: DR
authors.lastname: Freestone
authors.affiliation: bit.ly, New York City, USA. Electronic address: md@bit.ly.
authors.forename: M
authors.initials: M
authors.lastname: Dewar
authors.affiliation: Department of Systems and Control Engineering, University of Malta, Msida, MSD, Malta. Electronic address: kenneth.scerri@um.edu.mt.
authors.forename: K
authors.initials: K
authors.lastname: Scerri
authors.affiliation: Theoretical Neuroscience Group, UMR 1106, Institut de Neurosciences des Systemes, 13385 Marseille, France. Electronic address: viktor.jirsa@univ-amu.fr.
authors.forename: V
authors.initials: V
authors.lastname: Jirsa
authors.affiliation: NeuroEngineering Laboratory, Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, VIC, Australia; The Bionics Institute, East Melbourne, VIC, Australia. Electronic address: grayden@unimelb.edu.au.
authors.forename: D B
authors.initials: DB
authors.lastname: Grayden
authors.affiliation: Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK. Electronic address: visakan@sheffield.ac.uk.
authors.forename: V
authors.initials: V
authors.lastname: Kadirkamanathan
mesh_terms: D000465:Algorithms; D001921:Brain / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D008962:Models, Theoretical
keywords: Expectation maximization (EM) algorithm; Multi-resolution approximation (MRA); Neural field model