User profiles for Patrick Nelson

Patrick Nelson

Interim Dean and Professor, Lawrence Technological University
Verified email at ltu.edu
Cited by 5577

Mathematical analysis of HIV-1 dynamics in vivo

AS Perelson, PW Nelson - SIAM review, 1999 - SIAM
Mathematical models have proven valuable in understanding the dynamics of HIV-1
infection in vivo. By comparing these models to data obtained from patients undergoing …

Mathematical analysis of delay differential equation models of HIV-1 infection

PW Nelson, AS Perelson - Mathematical biosciences, 2002 - Elsevier
Models of HIV-1 infection that include intracellular delays are more accurate representations
of the biology and change the estimated values of kinetic parameters when compared to …

A model of HIV-1 pathogenesis that includes an intracellular delay

PW Nelson, JD Murray, AS Perelson - Mathematical biosciences, 2000 - Elsevier
Mathematical modeling combined with experimental measurements have yielded important
insights into HIV-1 pathogenesis. For example, data from experiments in which HIV-infected …

[BOOK][B] Habitat suitability index models and instream flow suitability curves: brown trout

RF Raleigh, LD Zuckerman, PC Nelson - 1984 - books.google.com
The Habitat Suitability Index (HSI) models presented in this publication aid in identifying
important habitat variables. Facts, ideas, and concepts obtained from the research literature and …

Improving leadership in higher education institutions: A distributed perspective

JDJ Van Ameijde, PC Nelson, J Billsberry… - Higher Education, 2009 - Springer
This paper reports on a qualitative study exploring how distributed patterns of leadership
manifest themselves in project teams within a Higher Education institution. The emphasis is on …

Modeling the mechanisms of acute hepatitis B virus infection

SM Ciupe, RM Ribeiro, PW Nelson… - Journal of theoretical …, 2007 - Elsevier
Mathematical models have been used to understand the factors that govern infectious disease
progression in viral infections. Here we focus on hepatitis B virus (HBV) dynamics during …

[BOOK][B] Time-delay systems: analysis and control using the Lambert W function

S Yi, PW Nelson, AG Ulsoy - 2010 - books.google.com
1. Introduction. 1.1. Motivation. 1.2. Background. 1.3. Scope of this document. 1.4. Original
contributions--2. Solutions of systems of DDEs via the matrix Lambert W function. 2.1. …

An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells

PW Nelson, MA Gilchrist, D Coombs… - Mathematical …, 2004 - aimsciences.org
Mathematical models of HIV-1 infection can help interpret drug treatment experiments and
improve our understanding of the interplay between HIV-1 and the immune system. We …

[BOOK][B] Habitat suitability index models and instream flow suitability curves: chinook salmon

RF Raleigh, WJ Miller, PC Nelson - 1986 - books.google.com
Information presented in this document is for use with the Habitat Evaluation Procedures (HEP)
and the Instream Flow Incremental Methodology (IFIM). The information also should be …

The role of cells refractory to productive infection in acute hepatitis B viral dynamics

SM Ciupe, RM Ribeiro, PW Nelson… - Proceedings of the …, 2007 - National Acad Sciences
During acute hepatitis B virus (HBV) infection viral loads reach high levels (≈10 10 HBV
DNA per ml), and nearly every hepatocyte becomes infected. Nonetheless, ≈85–95% of …