To shed light on the understanding of the angiogenesis process, we study a simplified lattice model for the capillary network formation between an existing blood vessel and an initially hypoxic tissue. We consider that the cells of the tissue surface can release growth factors that will diffuse,...

The standard Vicsek model (SVM) is a minimal non-equilibrium model of self-propelled particles that appears to capture the essential ingredients of critical flocking phenomena. In the SVM, particles tend to align with each other and form ordered flocks of collective motion; however,...

We studied damage spreading in a Driven Lattice Gas (DLG) model as a function of the temperature T, the magnitude of the external driving field E, and the lattice size. The DLG model undergoes an order–disorder second-order phase transition at the critical temperature Tc(E), such that the...

The spatiotemporal behavior of an initially corrugated interface in the two-dimensional driven lattice gas (DLG) model with attractive nearest-neighbors interactions is investigated via Monte Carlo simulations. By setting the system in the ordered phase, with periodic boundary conditions along...

We study the influence of altruistic behavior in a prey–predator model permitting the preys to commit suicide by confronting the predators instead of escaping. Surprising, altruistic behavior at microscopic (local) scale, leads to the emergence of new complex macroscopic (global) phenomena...

An Ising model for damage spreading with a probability of damage healing (q=1-p) is proposed and studied by means of Monte Carlo simulations. In the limit p→1, the new model is mapped to the standard Ising model. It is found that, for temperatures above the Onsager critical temperature (TC),...

The teaching–learning process in a classroom context is simulated by means of the Monte Carlo method. It is found that the structure of the collaborative groups formed by the students may influence their achievements. It is shown that low-achievement students may learn at the expense of their...

The width of the diffusion front originated by the random motion of particles under a concentration gradient is evaluated by means of Monte Carlo simulations. It is found that the roughness exponent of the front exhibits a systematic dependence on the sample size that can be rationalized in...

The spreading of damage in the Ising ferromagnet in two-dimensional confined geometries of size L×M(L⪡M) close to the critical temperature is studied by means of computer simulations. Imposing both, periodic and open boundary conditions along the M-direction, the influence of the interfaces...

The classic Katz–Lebowitz–Spohn (KLS) model is a lattice gas driven by an external field. In this paper, we study the critical behavior of the KLS model driven by an oscillatory field of strength E and period τ by means of both, Monte Carlo simulations and a coupled-map-lattice mean-field...