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- Jacques Demongeot, Eric Goles, Michel Morvan, Mathilde Noual, Sylvain Sené
- PloS one
- 2010

One fundamental concept in the context of biological systems on which researches have flourished in the past decade is that of the apparent robustness of these systems, i.e., their ability to resist to perturbations or constraints induced by external or boundary elements such as electromagnetic fields acting on neural networks, micro-RNAs acting on genetic… (More)

- Pablo A. Estévez, Claudio A. Perez, +6 authors Gonzalo A. Ruz
- 2003

utomatic detection of defects on wood boards and grading of the products into quality categories is one of the key areas of interest in the forest products industry. A defect is considered to be any characteristic that makes wood unsuitable for a given use. With the aim of improving yield and increasing productivity, in the last decades several automated… (More)

- Eric Goles, Marco Montalva, Gonzalo A. Ruz
- Bulletin of mathematical biology
- 2013

Analyzing all the deterministic dynamics of a Boolean regulatory network is a difficult problem since it grows exponentially with the number of nodes. In this paper, we present mathematical and computational tools for analyzing the complete deterministic dynamics of Boolean regulatory networks. For this, the notion of alliance is introduced, which is a… (More)

- Alejandro Asenjo, Paola Andrea Parra Ramírez, Ivan Rapaport, Julio Aracena, Eric Goles, Barbara A. Andrews
- Journal of microbiology and biotechnology
- 2007

This paper describes the use of a discrete mathematical model to represent the basic mechanisms of regulation of the bacteria E. coli in batch fermentation. The specific phenomena studied were the changes in metabolism and genetic regulation when the bacteria use three different carbon substrates (glucose, glycerol, and acetate). The model correctly… (More)

- Nicolás Goles Domic, Eric Goles, Sergio Rica
- Physical review. E, Statistical, nonlinear, and…
- 2011

In this paper we consider the Schelling social segregation model for two different populations. In Schelling's model, segregation appears as a consequence of discrimination, measured by the local difference between two populations. For that, the model defines a tolerance criterion on the neighborhood of an individual, indicating wether the individual is… (More)

In this paper, we study the dynamics of sand grains falling in sand piles. Usually sand piles are characterized by a decreasing integer partition and grain moves are described in terms of transitions between such partitions. We study here four main transition rules. The more classical one, introduced by Brylawski [5] induces a lattice structure LB(n)… (More)

- Gonzalo A. Ruz, Tania Timmermann, Javiera Barrera, Eric Goles
- Biological Research
- 2014

Interactions between genes and their products give rise to complex circuits known as gene regulatory networks (GRN) that enable cells to process information and respond to external stimuli. Several important processes for life, depend of an accurate and context-specific regulation of gene expression, such as the cell cycle, which can be analyzed through its… (More)

- Eric Goles, Adrian Galo Palacios
- Biological research
- 2007

In the last twenty years an important effort in brain sciences, especially in cognitive science, has been the development of mathematical tool that can deal with the complexity of extensive recordings corresponding to the neuronal activity obtained from hundreds of neurons. We discuss here along with some historical issues, advantages and limitations of… (More)

- Karsten Kötter, Eric Goles, Mario Markus
- Physical review. E, Statistical physics, plasmas…
- 1999

Molecular dynamic simulations of a low number N< or = 54 of spheres in a swirled dish yield solid-like shell structures with stable rings. In contrast to known granular media, solidification occurs only at singular values of N: 7, 8, 12, 14, 19, 21, 30, 37, 40. Otherwise, we obtain intermittent switching of particles between rings -- the average switching… (More)

- Malte Schmick, Eric Goles, Mario Markus
- Physical review. E, Statistical, nonlinear, and…
- 2002

Molecular dynamic simulations of a medium consisting of disks in a periodically tilted box yield two dynamic modes differing considerably in the total potential and kinetic energies of the disks. Depending on parameters, these modes display the following features: (i) hysteresis (coexistence of the two modes in phase space); (ii) intermingledlike basins of… (More)