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/.