[Forum SIS] Seminario CATTANI (RGS & Matematica Applicata)

[Giacomo Aletti]

Con preghiera di diffusione tra tutti i possibili interessati,
scusandomi per invii multipli.
Cordialmente,
Giacomo Aletti

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Nell'ambito dei Reading Group Seminars e del Seminario di Matematica
Applicata, il giorno lunedì 24 Novembre 2014, alle ore 14.30,
nell'Aula C del Dipartimento di Matematica dell'Universita' degli
Studi di Milano, Via C. Saldini, 50, Milano,

"Multispecies models for large neural network description"
Anna CATTANI,
Center for Neuroscience and Cognitive Systems (CNCS), IIT, Rovereto

Joint work with Claudio Canuto

Abstract: Today modeling large neural network is a topic more relevant
than ever. In particular, the set up of computer simulations
describing complex networks with a huge number of nodes is a
formidable challenge. The intrinsic difficulties concerning the
prohibitive computational costs may be handled to some extent by
exploiting what we call "multispecies" models. From a mathematical
perspective this issue consists in formalizing the PDE-based continuum
models which describe the high-density populations inside the network
and studying interactions between them and the ODE-based discrete
models for each neuron belonging to the low-density populations. In
particular, we exploit such an approach to describe the Golgi-Granular
cell loop network in the Cerebellum. Each single cell is described by
means of the FitzHugh-Nagumo model and both electrical and chemical
(excitatory and inhibitory) synapses are taken into account. Several
simulations describing interesting phenomena as synchronization and
travelling waves have been done. Biological aspects have also been
examined in order to provide our work with scientific completeness.

References
[1] A.Cattani, FitzHugh-Nagumo equations with generalized diffusive
coupling, Mathematical Bio- sciences and Engineering, 11 203-215,
2014.
[2] C.Canuto and A.Cattani, The derivation of continuum limits of
neuronal networks with gap- junction couplings, Network and
Heterogeneous Media, 9, 111-133, 2014.
[3] A.Cattani, "Multispecies" models to describe large neuronal
networks, Ph.D. thesis, 2014.


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Reading Group Seminars: The Reading Group Seminars (RGS) are organized
within an open community of researchers interested in applying up to
date mathematical modeling and data analysis approaches to the study
of biological systems. The RGS take place at the Math. Department in
Milan (via Saldini). Initiatives and updates are published on the
website: http://rgs.mat.unimi.it/.

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Giacomo Aletti, Associate Professor

ADAMSS Centre (ex MIRIAM)
Advanced  Applied Mathematical  and Statistical Sciences

Department of Mathematics (www.matematica.unimi.it)
Via Saldini, 50
20133 Milano, Italy
Tel: +39-02-503.16158
Fax:+39-02-503.16090
Cell: +39-340-9739142