13 citations · 17 across the 7 of their papers we have counts for
8 papers
Saturation effects on T-cell activation in a model of a multi-stage pathogen
Michael Shapiro, Edgar Delgado-Eckert
In previous work, we studied host response to a pathogen which uses a cycle of immunologically distinct stages to establish and maintain infection. We showed that for generic param…
Competition-colonization trade-off promotes coexistence of low-virulence viral strains
Samuel Ojosnegros, Edgar Delgado-Eckert, Niko Beerenwinkel
RNA viruses exist as genetically diverse populations displaying different phenotypes, including diverse degrees of virulence. The evolution of virulence in viral populations is, ho…
A model of host response to a multi-stage pathogen
Edgar Delgado-Eckert, Michael Shapiro
We model the immune surveillance of a pathogen which passes through immunologically distinct stages. The biological parameters of this system induce a partial order on the stag…
The evolution of virulence in RNA viruses under a competition-colonization trade-off
Edgar Delgado-Eckert, Samuel Ojosnegros, Niko Beerenwinkel
RNA viruses exist in large intra-host populations which display great genotypic and phenotypic diversity. We analyze a model of viral competition between two different viral strain…
Finding an individual's probability of infection in an SIR network is NP-hard
Michael Shapiro, Edgar Delgado-Eckert
The celebrated Kermack-McKendric model of epidemics studies the transmission of a disease in a population where each individual is initially susceptible (S), may become infective (…
An algebraic and graph theoretical framework to study monomial dynamical systems over a finite field
Edgar Delgado-Eckert
An n dimensional monomial dynamical system over a finite field K is a nonlinear deterministic time discrete dynamical system with the property that each of the n component function…
Reverse engineering time discrete finite dynamical systems: A feasible undertaking?
Edgar Delgado-Eckert
With the advent of high-throughput profiling methods, interest in reverse engineering the structure and dynamics of biochemical networks is high. Recently an algorithm for reverse…
Canonical representatives for residue classes of a polynomial ideal and orthogonality
Edgar Delgado-Eckert
The aim of this paper is to unveil an unexpected relationship between the normal form of a polynomial with respect to a polynomial ideal and the more geometric concept of orthogona…