title: Modelling large scale neuronal networks using 'average neurones'.
abstract: Large scale neuronal network models have become important tools in studying the information transmission within the CNS. In most cases, these models use simplifying assumptions because of unavailable data (e.g. unknown exact network connectivity), and for technical reasons (to preserve numerical stability of the model). Here, we present a novel approach, based on a probabilistic connectivity principle, to this modelling problem for which no knowledge of the exact network connectivity is required. This principle makes it sufficient to compute only the typical neuronal behaviour, represented by 'average neurones', in the network. As a consequence, detailed neurone models can be employed without seriously compromising computational efficiency. Our model thus provides a viable alternative to deterministic models.
authors.affiliation: School of Biosciences, Cardiff University, UK. ttoth@bolyai.phyl.cf.ac.uk
authors.forename: Tibor I
authors.initials: TI
authors.lastname: Tóth
authors.forename: Vincenzo
authors.initials: V
authors.lastname: Crunelli
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D002490:Central Nervous System / Q000502:physiology*; D006801:Humans; D007473:Ion Channels / Q000502:physiology; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009433:Neural Inhibition / Q000502:physiology; D016571:Neural Networks, Computer; D009434:Neural Pathways / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D018091:Receptors, AMPA / Q000502:physiology; D018079:Receptors, GABA / Q000502:physiology; D016194:Receptors, N-Methyl-D-Aspartate / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology
chemical_list: D007473:Ion Channels; D018091:Receptors, AMPA; D018079:Receptors, GABA; D016194:Receptors, N-Methyl-D-Aspartate