Ariel Cintron-Arias

Works (4)

Updated: July 5th, 2023 15:50

2013 journal article

Parameter selection methods in inverse problem formulation

Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems, 2064, 43–73.

By: H. Banks, A. Cintron-Arias & F. Kappel

Source: NC State University Libraries
Added: August 6, 2018

2009 article

A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system

Banks, H. T., Holm, K., Wanner, N. C., Cintrón-Arias, A., Kepler, G. M., & Wetherington, J. D. (2009, March 30). Mathematical and Computer Modelling.

By: H. Banks n, K. Holm n, N. Wanner n, A. Cintrón-Arias n, G. Kepler n & J. Wetherington*

author keywords: Compartmental model; Circulatory system; Drug delivery; Differential equations; Optimal dosing strategies; Sensitivity
topics (OpenAlex): SARS-CoV-2 and COVID-19 Research; COVID-19 epidemiological studies; Fractional Differential Equations Solutions
TL;DR: A preliminary first-pass dynamic model for delivery of drug compounds to the lungs and heart using a compartmental mass balance approach and a system of nonlinear differential equations for mass accumulated in the heart as a result of intravenous injection is presented. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2009 article

A sensitivity matrix based methodology for inverse problem formulation

Cintrón-Arias, A., Banks, H. T., Capaldi, A., & Lloyd, A. L. (2009, January 1). Journal of Inverse and Ill-Posed Problems.

By: A. Cintrón-Arias n, H. Banks n, A. Capaldi n & A. Lloyd n 

author keywords: Inverse problems; ordinary least squares; sensitivity matrix; Fisher Information matrix; parameter selection; standard errors
topics (OpenAlex): Gaussian Processes and Bayesian Inference; Statistical and numerical algorithms; Probabilistic and Robust Engineering Design
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Source: Web Of Science
Added: August 6, 2018

2009 article

The estimation of the effective reproductive number from disease outbreak data

Cintrón-Arias, A., Castillo-Chávez, C., Bettencourt, L. M. A., Lloyd, A. L., Banks, H. T., Cintrón-Arias, A., … Banks, H. T. (2009, January 1). Mathematical Biosciences & Engineering.

By: A. Cintrón-Arias n, C. Castillo-Chávez, L. Bettencourt, A. Lloyd* , H. Banks n, A. Cintrón-Arias n, C. Castillo-Chávez, L. Bettencourt, A. Lloyd, H. Banks n

author keywords: effective reproductive number; basic reproduction ratio; reproduction number; R; R(t); R-0; parameter estimation; generalized least squares; residual plots
MeSH headings : Algorithms; Biometry / methods; Communicable Diseases / epidemiology; Disease Outbreaks / statistics & numerical data; Disease Transmission, Infectious / statistics & numerical data; Humans; Prevalence; Proportional Hazards Models
topics (OpenAlex): COVID-19 epidemiological studies; Influenza Virus Research Studies; Mathematical and Theoretical Epidemiology and Ecology Models
TL;DR: A single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number R(t) are considered and the estimation of the underlying SIR parameters with a generalized least squares estimation technique is discussed. (via Semantic Scholar)
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3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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