English

Boundary solution based on rescaling method: recoup the first and second-order statistics of neuron network dynamics

Neurons and Cognition 2020-02-07 v1 Numerical Analysis Dynamical Systems Numerical Analysis

Abstract

There is a strong nexus between the network size and the computational resources available, which may impede a neuroscience study. In the meantime, rescaling the network while maintaining its behavior is not a trivial mission. Additionally, modeling patterns of connections under topographic organization presents an extra challenge: to solve the network boundaries or mingled with an unwished behavior. This behavior, for example, could be an inset oscillation due to the torus solution; or a blend with/of unbalanced neurons due to a lack (or overdose) of connections. We detail the network rescaling method able to sustain behavior statistical utilized in Romaro et al. (2018) and present a boundary solution method based on the previous statistics recoup idea.

Keywords

Cite

@article{arxiv.2002.02381,
  title  = {Boundary solution based on rescaling method: recoup the first and second-order statistics of neuron network dynamics},
  author = {Cecilia Romaro and Antonio Carlos Roque and Jose Roberto Castilho Piqueira},
  journal= {arXiv preprint arXiv:2002.02381},
  year   = {2020}
}
R2 v1 2026-06-23T13:33:19.017Z