Dynamic behaviour of neural networks

• Grant number: 15/07311-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2015
• End date: January 17, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Kelly Cristiane Iarosz
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 18/03211-6 - Non linear dynamics, AP.TEM
• Associated scholarship(s): 17/20920-8 - Plasticity in neuronal networks, BE.EP.PD 16/16148-5 - Synchronous behaviour and synaptic plasticity in complex networks, BE.EP.PD

Abstract

We present a proposal for a study of dynamics of neural networks. We will study a neural network modeled by a cellular automaton.The network will be separated into two layers and we will realise a study of dynamic range, considering electrical and chemical synapses. The project also includes the study of dynamics networks using the Hodgkin-Huxley model. This way, we will investigate the effects of synaptic plasticity on the dynamical behaviour of the neural network. Moreover, we will also study the synchronization and no synchronization according to connections among the neurons, the dependence on the architecture and the influence of external perturbations. (AU)

Scientific publications

(33)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BORGES, F. S.; LAMEU, E. L.; IAROSZ, K. C.; PROTACHEVICZ, P. R.; CALDAS, I. L.; VIANA, R. L.; MACAU, E. E. N.; BATISTA, A. M.; BAPTISTA, M. S.. Inference of topology and the nature of synapses, and the flow of information in neuronal networks. Physical Review E, v. 97, n. 2, FEB 7 2018. (16/23398-8, 16/16148-5, 15/07311-7, 15/50122-0, 11/19296-1)

CALDAS, IBERE LUIZ; BARTOLONI, BRUNO F.; CIRO, DAVID; ROBERSON, GERALDO; SCHELIN, ADRIANE B.; KROETZ, TIAGO; ROBERTO, MARISA; VIANA, RICARDO LUIZ; IAROSZ, KELLY CRISTIANE; BATISTA, ANTONIO MARCOS; et al. Symplectic Maps for Diverted Plasmas. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 46, n. 7, 1, SI, p. 2354-2361, JUL 2018. (15/07311-7, 11/19296-1, 12/18073-1)

SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.; BORGES, FERNANDO S.; REN, HAI-PENG; SZEZECH, JR., JOSE D.; BATISTA, ANTONIO M.; GREBOGI, CELSO. Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network. Chaos, v. 29, n. 4, APR 2019. (18/03211-6, 15/07311-7, 17/18977-1)

BORGES, RAFAEL R.; BORGES, FERNANDO S.; LAMEU, EWANDSON L.; PROTACHEVICZ, PAULO R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.; MACAU, ELBERT E. N.; BAPTISTA, MURILO S.; GREBOGI, CELSO; et al. Synaptic Plasticity and Spike Synchronisation in Neuronal Networks. Brazilian Journal of Physics, v. 47, n. 6, p. 678-688, DEC 2017. (16/23398-8, 16/16148-5, 15/07311-7, 15/50122-0, 11/19296-1)

EVARISTO, RONALDO M.; BATISTA, ANTONIO M.; VIANA, RICARDO L.; IAROSZ, KELLY C.; SZEZECH, JR., JOSE D.; DE GODOY, MOACIR F.. Mathematical model with autoregressive process for electrocardiogram signals. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 57, p. 415-421, APR 2018. (16/16148-5, 15/07311-7, 11/19296-1)

PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; LAMEU, EWANDSON L.; JI, PENG; IAROSZ, KELLY C.; KIHARA, ALEXANDRE H.; CALDAS, LBERE L.; SZEZECH JR, JOSE D.; BAPTISTE, MURILO S.; MACAU, ELBERT E. N.; et al. Bistable Firing Pattern in a Neural Network Model. FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, v. 13, APR 5 2019. (17/18977-1, 16/23398-8, 16/16148-5, 15/07311-7, 17/13502-5, 15/50122-0, 18/03211-6)

BORGES, R. R.; BORGES, F. S.; LAMEU, E. L.; BATISTA, A. M.; IAROSZ, K. C.; CALDAS, I. L.; VIANA, R. L.; SANJUAN, M. A. F.. Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin-Huxley neuronal network. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 34, p. 12-22, MAY 2016. (15/07311-7, 11/19296-1)

SANTOS, M. S.; SZEZECH, J. D.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BATISTA, A. M.; VIANA, R. L.; KURTHS, J.. Chimera-like states in a neuronal network model of the cat brain. CHAOS SOLITONS & FRACTALS, v. 101, p. 86-91, AUG 2017. (16/16148-5, 15/07311-7, 11/50151-0, 11/19296-1)

BORGES, F. S.; PROTACHEVICZ, P. R.; LAMEU, E. L.; BONETTI, R. C.; IAROSZ, K. C.; CALDAS, I. L.; BAPTISTA, M. S.; BATISTA, A. M.. Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model. NEURAL NETWORKS, v. 90, p. 1-7, JUN 2017. (16/16148-5, 15/07311-7, 11/19296-1)

LAMEU, EWANDSON L.; BORGES, FERNANDO S.; BORGES, RAFAEL R.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; VIANA, RICARDO L.; KURTHS, JUERGEN. Suppression of phase synchronisation in network based on cat's brain. Chaos, v. 26, n. 4, APR 2016. (15/07311-7, 11/50151-0, 11/19296-1)

SANTOS, MOISES S.; SZEZECH, JR., JOSE D.; BATISTA, ANTONIO M.; IAROSZ, KELLY C.; CALDAS, IBERE L.; VIANA, RICARDO L.. Dragon-kings death in nonlinear wave interactions. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 534, NOV 15 2019. (15/07311-7, 11/19296-1, 15/50122-0)

BORGES, F. S.; GABRICKC, E. C.; PROTACHEVICZ, P. R.; HIGA, G. S. V.; LAMEU, E. L.; RODRIGUEZ, P. X. R.; FERRAZ, M. S. A.; SZEZECH JR, J. D.; BATISTA, A. M.; KIHARA, A. H.. Intermittency properties in a temporal lobe epilepsy model. Epilepsy & Behavior, v. 139, p. 9-pg., 2023-01-16. (22/09277-4, 16/16148-5, 22/13761-9, 19/17892-8, 17/18977-1, 19/15024-9, 20/04624-2, 11/19296-1, 15/07311-7)

CALDAS, IBERE LUIZ; BARTOLONI, BRUNO F.; CIRO, DAVID; ROBERSON, GERALDO; SCHELIN, ADRIANE B.; KROETZ, TIAGO; ROBERTO, MARISA; VIANA, RICARDO LUIZ; IAROSZ, KELLY CRISTIANE; BATISTA, ANTONIO MARCOS; et al. Symplectic Maps for Diverted Plasmas. IEEE TRANSACTIONS ON PLASMA SCIENCE, v. 46, n. 7, p. 8-pg., 2018-07-01. (12/18073-1, 11/19296-1, 15/07311-7)

BORGES, F. S.; LAMEU, E. L.; IAROSZ, K. C.; PROTACHEVICZ, P. R.; CALDAS, I. L.; VIANA, R. L.; MACAU, E. E. N.; BATISTA, A. M.; BAPTISTA, M. S.. Inference of topology and the nature of synapses, and the flow of information in neuronal networks. PHYSICAL REVIEW E, v. 97, n. 2, p. 7-pg., 2018-02-07. (11/19296-1, 15/50122-0, 15/07311-7, 16/23398-8, 16/16148-5)

PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; IAROSZ, KELLY C.; BAPTISTA, MURILO S.; LAMEU, EWANDSON L.; HANSEN, MATHEUS; CALDAS, IBERE L.; SZEZECH, JOSE D., JR.; BATISTA, ANTONIO M.; KURTHS, JUERGEN. Influence of Delayed Conductance on Neuronal Synchronization. FRONTIERS IN PHYSIOLOGY, v. 11, p. 9-pg., 2020-09-03. (15/50122-0, 20/04624-2, 15/07311-7, 16/23398-8, 17/18977-1, 18/03211-6)

DA COSTA, DIOGO RICARDO; PALMERO, MATHEUS S.; MENDEZ-BERMUDEZ, J. A.; IAROSZ, KELLY C.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.. Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 91, p. 9-pg., 2020-12-01. (19/06931-2, 18/03000-5, 20/02415-7, 15/07311-7, 18/03211-6)

BORGES, F. S.; PROTACHEVICZ, P. R.; PENA, R. F. O.; LAMEU, E. L.; HIGA, V, G. S.; KIHARA, J. A. H.; MATIAS, F. S.; ANTONOPOULOS, C. G.; DE PASQUALE, R.; ROQUE, A. C.; et al. Self-sustained activity of low firing rate in balanced networks. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 537, JAN 1 2020. (16/23398-8, 13/07699-0, 15/50122-0, 17/18977-1, 15/07311-7, 11/19296-1, 17/13502-5, 17/20920-8, 17/26439-0, 13/25667-8)

LAMEU, EWANDSON L.; BORGES, FERNANDO S.; LAROSZ, KELLY C.; PROTACHEVICZ, PAULO R.; ANTONOPOULOS, CHRIS G.; MACAU, ELBERT E. N.; BATISTA, ANTONIO M.. Short-term and spike-timing-dependent plasticity facilitate the formation of modular neural networks. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 96, MAY 2021. (15/50122-0, 17/13502-5, 16/23398-8, 15/07311-7, 17/18977-1, 17/20920-8, 20/04624-2, 11/19296-1)

DOS SANTOS, VAGNER; BORGES, FERNANDO S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; SZEZECH, J. D.; VIANA, RICARDO L.; BAPTISTA, MURILO S.; BATISTA, ANTONIO M.. Basin of attraction for chimera states in a network of Rossler oscillators. Chaos, v. 30, n. 8, AUG 2020. (18/03211-6, 15/07311-7, 17/18977-1)

TROBIA, JOSE; TIAN, KUN; BATISTA, ANTONIO M.; GREBOGI, CELSO; REN, HAI-PENG; SANTOS, MOISES S.; PROTACHEVICZ, PAULO R.; BORGES, FERNANDO S.; SZEZECH, JR., JOSE D.; VIANA, RICARDO L.; et al. Mathematical model of brain tumour growth with drug resistance. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 103, DEC 2021. (18/03211-6, 20/04624-2, 17/18977-1, 15/07311-7)

LOPEZ, ALVARO G.; IAROSZ, KELLY C.; BATISTA, ANTONIO M.; SEOANE, JESUS M.; VIANAE, RICARDO L.; SANJUAN, MIGUEL A. F.. Nonlinear cancer chemotherapy: Modelling the Norton-Simon hypothesis. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 70, p. 307-317, MAY 2019. (17/20920-8, 15/07311-7)

LAMEU, E. L.; YANCHUK, S.; MACAU, E. E. N.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; PROTACHEVICZ, P. R.; BORGES, R. R.; VIANA, R. L.; SZEZECH, JR., J. D.; et al. Recurrence quantification analysis for the identification of burst phase synchronisation. Chaos, v. 28, n. 8, AUG 2018. (17/18977-1, 17/20920-8, 16/23398-8, 15/07311-7, 17/13502-5, 15/50122-0, 11/19296-1)

SANTOS, V.; SZEZECH, JR., J. D.; BATISTA, A. M.; IAROSZ, K. C.; BAPTISTA, M. S.; REN, H. P.; GREBOGI, C.; VIANA, R. L.; CALDAS, I. L.; MAISTRENKO, Y. L.; et al. Riddling: Chimera's dilemma. Chaos, v. 28, n. 8, AUG 2018. (17/20920-8, 15/07311-7, 15/50122-0, 15/05186-0, 11/19296-1)

BORGES, R. R.; BORGES, F. S.; LAMEU, E. L.; BATISTA, A. M.; IAROSZ, K. C.; CALDAS, I. L.; ANTONOPOULOS, C. G.; BAPTISTA, M. S.. Spike timing-dependent plasticity induces non-trivial topology in the brain. NEURAL NETWORKS, v. 88, p. 58-64, APR 2017. (15/07311-7, 16/16148-5, 11/19296-1)

FERRARI, FABIANO A. S.; PRADO, THIAGO L.; DA SILVA, THIAGO F. P.; DOS SANTOS, CLARA M.; SANTOS, MOISES S.; DE SOUZA, SILVIO L. T.; IAROSZ, KELLY C.; SZEZECH, JR., JOSE D.; BATISTA, ANTONIO M.. Numerical simulations of the linear drift memristor model. EUROPEAN PHYSICAL JOURNAL PLUS, v. 134, n. 3, MAR 15 2019. (15/07311-7)

FERRARI, F. A. S.; VIANA, R. L.; REIS, A. S.; IAROSZ, K. C.; CALDAS, I. L.; BATISTA, A. M.. A network of networks model to study phase synchronization using structural connection matrix of human brain. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 496, p. 162-170, APR 15 2018. (17/20920-8, 15/07311-7, 11/19296-1)

PROTACHEVICZ, P. R.; BORGES, R. R.; REIS, A. S.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; LAMEU, E. L.; MACAU, E. E. N.; VIANA, R. L.; SOKOLOV, I. M.; et al. Synchronous behaviour in network model based on human cortico-cortical connections. Physiological Measurement, v. 39, n. 7, JUL 2018. (15/50122-0, 16/23398-8, 11/19296-1, 17/20920-8, 15/07311-7, 17/13502-5, 17/18977-1)

CONINCK, JOSE C. P.; FERRARI, FABIANO A. S.; REIS, ADRIANE S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; BATISTA, ANTONIO M.; VIANA, RICARDO L.. Network properties of healthy and Alzheimer brains. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 547, JUN 1 2020. (18/03211-6, 15/07311-7)

PROTACHEVICZ, P. R.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BAPTISTA, M. S.; VIANA, R. L.; LAMEU, E. L.; MACAU, E. E. N.; BATISTA, A. M.. How synapses can enhance sensibility of a neural network. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 492, p. 1045-1052, FEB 15 2018. (15/07311-7, 11/19296-1, 16/23398-8, 16/16148-5, 15/50122-0)

MAURO CATTANI; IBERÊ LUIZ CALDAS; SILVIO LUIZ DE SOUZA; KELLY CRISTIANE IAROSZ. Teoria do Caos Determinístico: Conceitos Básicos. Revista Brasileira de Ensino de Física, v. 39, n. 1, 2016-10-17. (15/07311-7, 11/19296-1)

MUGNAINE, MICHELE; REIS, ADRIANE S.; BORGES, FERNANDO S.; BORGES, RAFAEL R.; FERRARI, FABIANO A. S.; IAROSZ, KELLY C.; CALDAS, IBERE L.; LAMEU, EWANDSON L.; VIANA, RICARDO L.; SZEZECH, JR., JOSE D.; et al. Delayed feedback control of phase synchronisation in a neuronal network model. European Physical Journal-Special Topics, v. 227, n. 10-11, p. 1151-1160, NOV 2018. (17/18977-1, 17/20920-8, 16/23398-8, 15/07311-7, 17/13502-5, 15/50122-0, 11/19296-1)

LAMEU, E. L.; MACAU, E. E. N.; BORGES, F. S.; IAROSZ, K. C.; CALDAS, I. L.; BORGES, R. R.; PROTACHEVICZ, P. R.; VIANA, R. L.; BATISTA, A. M.. Alterations in brain connectivity due to plasticity and synaptic delay. European Physical Journal-Special Topics, v. 227, n. 5-6, p. 673-682, SEP 2018. (17/18977-1, 17/20920-8, 16/23398-8, 15/07311-7, 17/13502-5, 15/50122-0, 11/19296-1)

LOPEZ, ALVARO G.; IAROSZ, KELLY C.; BATIST, ANTONIO M.; SEOANE, JESUS M.; VIANA, RICARDO L.; SANJUAN, MIGUEL A. F.. The role of dose density in combination cancer chemotherapy. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 79, DEC 2019. (18/03211-6, 15/07311-7)