473 citations · 525 across the 9 of their papers we have counts for
8 papers
Parameter Selection Methods in Inverse Problem Formulation
H. T. Banks, Ariel Cintrón-Arias
We discuss methods for {\em a priori} selection of parameters to be estimated in inverse problem formulations (such as Maximum Likelihood, Ordinary and Generalized Least Squares) f…
A Sensitivity Matrix Based Methodology for Inverse Problem Formulation
Ariel Cintrón-Arias, H. T. Banks, Alex Capaldi +1
We propose an algorithm to select parameter subset combinations that can be estimated using an ordinary least-squares (OLS) inverse problem formulation with a given data set. First…
The Estimation of the Effective Reproductive Number from Disease Outbreak Data
Ariel Cintrón-Arias, Carlos Castillo-Chávez, Luís M. A. Bettencourt +2
We consider a single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number . We discuss…
The Role of Nonlinear Relapse on Contagion Amongst Drinking Communities
Ariel Cintrón-Arias, Fabio Sánchez, Xiaohong Wang +3
Relapse, the recurrence of a disorder following a symptomatic remission, is a frequent outcome in substance abuse disorders. Some of our prior results suggested that relapse, in th…
Prisoner's Dilemma on Real Social Networks: Revisited
Sharon M. Cameron, Ariel Cintrón-Arias
Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. This theoretical game is important in understanding why a seemingly self…
Developing Workforce with Mathematical Modeling Skills
Ariel Cintron-Arias, Ryan Nivens, Anant Godbole +1
Mathematicians have traditionally been a select group of academics that produce high-impact ideas allowing substantial results in several fields of science. Throughout the past 35…
To Go Viral
Ariel Cintron-Arias
Mathematical models are validated against empirical data, while examining potential indicators for an online video that went viral. We revisit some concepts of infectious disease m…
The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models
Luís M. A. Bettencourt, Ariel Cintrón-Arias, David I. Kaiser +1
The population dynamics underlying the diffusion of ideas hold many qualitative similarities to those involved in the spread of infections. In spite of much suggestive evidence thi…