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Biomedical subjects

G Abramson

Publications and source records attributed to G Abramson.

12 recordsLinked to original sources
PubMed2003

Traveling waves of infection in the hantavirus epidemics.

Traveling waves are analyzed in a model of the hantavirus infection in deer mice. The existence of two kinds of wave phenomena is predicted. An environmental parameter governs a transition between two regimes of propagation. In one of them the front of infection lags behind at a constant rate. In the other, fronts of susceptible and infected mice travel at the same speed, separated by a constant delay. The dependence of the delay on system parameters is analyzed numerically and through a piecewise linearization.

Animals↗
PubMed2002

Simulations in the mathematical modeling of the spread of the Hantavirus.

The range of validity of a recently proposed deterministic (mean field) model of the spread of the Hantavirus infection is studied with the help of Monte Carlo simulations for the evolution of mice populations. The simulation is found to reproduce earlier results on the average but to display additional behavior stemming from discreteness in mice number and from fluctuations of the finite size system. It is shown that mice diffusion affects those additional features of the simulation in a physically understandable manner, higher diffusion constants leading to greater agreement with the mean field results.

Animals↗
PubMed2002

Spatiotemporal patterns in the Hantavirus infection.

We present a model of the infection of Hantavirus in deer mouse, Peromyscus maniculatus, based on biological observations of the system in the North American Southwest. The results of the analysis shed light on relevant observations of the biological system, such as the sporadical disappearance of the infection, and the existence of foci or "refugia" that perform as reservoirs of the virus when environmental conditions are less than optimal.

Animals↗
PubMed2001

Effects of transport memory and nonlinear damping in a generalized Fisher's equation.

Memory effects in transport require, for their incorporation into reaction-diffusion investigations, a generalization of traditional equations. The well-known Fisher's equation, which combines diffusion with a logistic nonlinearity, is generalized to include memory effects, and traveling wave solutions of the equation are found. Comparison is made with alternative generalization procedures.

Journal Article↗
PubMed2001

Complex structures in generalized small worlds.

We propose a generalization of small world networks, in which the reconnection of links is governed by a function that depends on the distance between the elements to be linked. An adequate choice of this function lets us control the clusterization of the system. Control of the clusterization, in turn, allows the generation of a wide variety of topologies.

Journal Article↗
PubMed2001

Small world effect in an epidemiological model.

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered systems, there is a fluctuating endemic state of low infection. At a finite value of the disorder of the network, we find a transition to self-sustained oscillations in the size of the infected subpopulation.

Epidemiologic Methods↗
PubMed2001

Social games in a social network.

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different topologies, ranging from regular lattices to random graphs, produce a variety of emergent behaviors. This is a contribution towards the study of social phenomena and transitions governed by the topology of the community.

Competitive Behavior↗
PubMed1999

Fractal properties of DNA walks.

We describe two dimensional DNA walks, and analyze their fractal properties. We show results for the complete genome of S. cerevisiae. We find that the mean square deviation of the walks is superdifussive, corresponding to a fractal structure of dimension lower than two. Furthermore, the coding part of the genome seems to have smaller fractal dimension, and longer correlations, than noncoding parts.

DNA, Fungal↗