Mathematical and Simulation Modeling in Neuroscience

The Research, Innovation and Dissemination Center for Neuromathematics (RIDC NeuroMat) hosts the workshop "Mathematical and Simulation Modeling in Neuroscience," to be held on November 13 and 14, in São Paulo. This event has the support of the São Paulo Research Foundation (FAPESP) and the University of São Paulo Institute of Mathematics and Statistics (IME/USP).

Tycho Brahe, Johannes Kepler and the Open Science video

The NeuroMat scientific dissemination has recently launched another short movie, this time a spin-off video of our previous "open science" one. This short video is called "Tycho Brahe, Johannes Kepler and the Open Science". As you know, open science is the movement to make scientific research, data and dissemination accessible to all levels of an inquiring society, amateur or professional. Both videos were supported by FAPESP and presents RIDC NeuroMat commitment to open science best practices.

Anticipated Synchronization and Zero-Lag Phases in Population Neural Models

Germán César Dima, Mauro Copelli and Gabriel Bernardo Mindlin

Anticipated synchronization is a counterintuitive synchronization regime between a master and a slave dynamical system in which there is a negative phase difference between the driver and the driven system. By studying a set of simple neural oscillators, we unveil the dynamical mechanisms required to generate this phenomenon. We study master–slave configurations where the slave system is, when uncoupled, in a quiescent excitable state. We exemplify our results by describing the dynamics of a dynamical system proposed to model the part of a songbird’s brain involved in song production.

Discrete One-Dimensional Coverage Process on a Renewal Process

Sandro Gallo and Nancy L. Garcia

Consider the following coverage model on N, for each site i ∈ N associate a pair (ξi, Ri) where (ξi)i≥0 is a 1-dimensional undelayed discrete renewal point process and (Ri)i≥0 is an i.i.d. sequence of N-valued random variables. At each site where ξi = 1 start an interval of length Ri . Coverage occurs if every site of N is covered by some interval. We obtain sharp conditions for both, positive and null probability of coverage. As corollaries, we extend results of the literature of rumor processes and discrete one-dimensional Boolean percolation.

NeuroMat’s 2018 Statement of Impact

The study of the brain is probably the most important research topic of our times. An evidence of this claim is the concomitant worldwide creation of brain initiatives, including the BRAIN Initiative (USA, 2013), Human Brain Project (Europe, 2013), Brain/MINDS (Japan, 2014) and China Brain (China, 2016). FAPESP’s decision in 2013 to create the Research, Innovation and Dissemination Center for Neuromathematics (RIDC NeuroMat) spearheaded this direction of study.

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The Research, Innovation and Dissemination Center for Neuromathematics is hosted by the University of São Paulo and funded by FAPESP (São Paulo Research Foundation).

 

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