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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)

- 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)

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

- A J Asenjo, P Ramirez, I Rapaport, J Aracena, E Goles, B 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)

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 L B (n)… (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 article we make a critical analysis of the model proposed by Weber, present an improvement that gives the logarithmic correction on the shape of sandpiles properly, and study the normal forces on the surface supporting a pile using the improved model. Much attention has been given to the physics of granular media, partly because of the many… (More)

- Anah́ı Gajardo, Eric Goles, Adolfo Ibáñez
- 2007

Universality of Cellular Automata (CA) is the ability to develop arbitrary computations, and is viewed as a " complexity certificate ". The concept exists since the creation of CA by John von Neumann, and it has undergone several transformations and ramifications. We review a sample of models, starting with Banks's CA, where universality has been shown… (More)

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)