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 journal article

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

MATHEMATICAL AND COMPUTER MODELLING, 50(7-8), 959–974.

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

author keywords: Compartmental model; Circulatory system; Drug delivery; Differential equations; Optimal dosing strategies; Sensitivity
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A sensitivity matrix based methodology for inverse problem formulation

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564.

By: A. Cintron-Arias*, H. Banks*, A. Capaldi* & A. Lloyd*

author keywords: Inverse problems; ordinary least squares; sensitivity matrix; Fisher Information matrix; parameter selection; standard errors
Source: Web Of Science
Added: August 6, 2018

2009 journal article

THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282.

By: A. Cintron-Arias n, C. Castillo-Chavez*, 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
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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