Models of neural networks with stochastic neurons and different topologies: construction and analysis

• Grant number: 17/05874-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: July 01, 2017
• End date: August 31, 2019
• Field of knowledge: Engineering - Biomedical Engineering - Bioengineering
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Antonio Carlos Roque da Silva Filho
• Grantee: Vinícius Lima Cordeiro
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Associated research grant: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat, AP.CEPID
• Associated scholarship(s): 18/07673-4 - Information dynamics during working memory tasks, BE.EP.MS

Abstract

The objective of this project is to construct stochastic models of cortical neural networks with three different architectures: a random network with Erdos-Rényi topology, a random network with hierarchical and modular topology and a random network with layered topology and determined data connectivity to the local microcircuit of the cortex. Networks with these three architectures using deterministic models of neurons have been extensively studied in the literature of computational neuroscience and the goal here will be to build versions of these networks with stochastic models of neurons for comparison. The stochastic model of neuron to be used is the one recently proposed by Galves and Löcherbach (J. Stat. Phys. 151: 896-921, 2013) in the simplified version considered by Brochini et al. (Sci. Rep. 6: 35831, 2016). The motivation for the use of stochastic models of neurons is the experimental observation that neurons of the brain present variability in their responses to repetitions of the same stimulus. The hypothesis adopted is that the stochastic behavior of the neurons has influence on the dynamics of the neural network, and should not be ignored in simulations. For the comparison with the stochastic models to be constructed, published versions of deterministic models with the three architectures will be considered as reference standards. The deterministic models are composed of excitatory and inhibitory neurons with parameters adjusted so that the networks are in a balanced state between excitation and inhibition presenting asynchronous and irregular spontaneous activity. The stochastic models to be constructed will also have their parameters adjusted so that they exhibit asynchronous and irregular spontaneous activity similar to the deterministic versions. The comparison between the deterministic and stochastic models will be made by statistical measures commonly used to characterize trains of neuronal firings. (AU)

Scientific publications

(5)

(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)

PENA, R. F. O.; LIMA, V.; SHIMOURA, R. O.; CEBALLOS, C. C.; ROTSTEIN, H. G.; ROQUE, A. C.. Asymmetrical voltage response in resonant neurons shaped by nonlinearities. Chaos, v. 29, n. 10, OCT 2019. (15/50122-0, 17/05874-0, 13/07699-0, 13/25667-8)

PENA, RODRIGO F. O.; LIMA, VINICIUS; O. SHIMOURA, RENAN; PAULO NOVATO, JOAO; ROQUE, ANTONIO C.. Optimal Interplay between Synaptic Strengths and Network Structure Enhances Activity Fluctuations and Information Propagation in Hierarchical Modular Networks. BRAIN SCIENCES, v. 10, n. 4, APR 2020. (13/07699-0, 15/50122-0, 17/07688-9, 18/20277-0, 17/05874-0, 13/25667-8)

PENA, RODRIGO F. O.; CEBALLOS, CESAR C.; LIMA, VINICIUS; ROQUE, ANTONIO C.. Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons. PHYSICAL REVIEW E, v. 97, n. 4, p. 10-pg., 2018-04-10. (17/05874-0, 13/07699-0, 15/50122-0, 13/25667-8)

PENA, RODRIGO F. O.; CEBALLOS, CESAR C.; LIMA, VINICIUS; ROQUE, ANTONIO C.. Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons. Physical Review E, v. 97, n. 4, APR 10 2018. (15/50122-0, 13/25667-8, 17/05874-0, 13/07699-0)

VINÍCIUS LIMA CORDEIRO; RODRIGO FELIPE DE OLIVEIRA PENA; CESAR AUGUSTO CELIS CEBALLOS; RENAN OLIVEIRA SHIMOURA; ANTONIO CARLOS ROQUE. Aplicações da teoria da informação à neurociência. Revista Brasileira de Ensino de Física, v. 41, n. 2, 2018-11-29. (13/25667-8, 17/07688-9, 13/07699-0, 17/05874-0, 15/50122-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

CORDEIRO, Vinícius Lima. Models of neural networks with stochastic neurons and different topologies: construction and analysis.. 2019. Master's Dissertation - Universidade de São Paulo (USP). Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (PCARP/BC) Ribeirão Preto.