Works (6)

Updated: July 5th, 2023 15:55

2008 journal article

Sensitivity to noise variance in a social network dynamics model

QUARTERLY OF APPLIED MATHEMATICS, 66(2), 233–247.

By: H. Banks n, A. Karr*, H. Nguyen n & J. Samuels n

UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space

Mathematical Biosciences and Engineering, 4(3), 403–430.

By: H. Banks n, S. Dediu n & H. Nguyen n

MeSH headings : Algorithms; Computer Simulation; Models, Biological; Sensitivity and Specificity
TL;DR: A theory for sensitivity with respect to parameters in a convex subset of a topological vector space of dynamical systems in a Banach space is developed and schemes that approximate the measures in the Prohorov sense are illustrated. (via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018

2007 journal article

Stochastic and deterministic models for agricultural production networks

Mathematical Biosciences and Engineering, 4(3), 373–402.

By: P. Bai*, H. Banks*, S. Dediu*, A. Govan, M. Last, A. Lloyd*, H. Nguyen*, M. Olufsen*, G. Rempala, B. Slenning*

Contributors: P. Bai*, H. Banks*, S. Dediu*, A. Govan, M. Last, A. Lloyd*, H. Nguyen*, M. Olufsen*, G. Rempala, B. Slenning*

MeSH headings : Animal Husbandry / methods; Animal Husbandry / organization & administration; Animals; Animals, Domestic; Computer Simulation; Models, Biological; Models, Organizational; Models, Statistical; Stochastic Processes; Swine / growth & development
TL;DR: An approach to modeling the impact of disturbances in an agricultural production network and its approximate deterministic model for averages over sample paths of the stochastic system are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2007 article

Time delay systems with distribution dependent dynamics

ANNUAL REVIEWS IN CONTROL, Vol. 31, pp. 17–26.

By: H. Banks n, S. Dediu* & H. Nguyen*

author keywords: inverse dynamics problem; probability distribution function; sensitivity analysis; biomedical systems
TL;DR: A functional analytic framework for investigating well-posedness, existence, uniqueness and continuous dependence of solutions, inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

A dynamic model for induced reactivation of latent virus

JOURNAL OF THEORETICAL BIOLOGY, 244(3), 451–462.

By: G. Kepler n, H. Nguyen n, J. Webster-Cyriaque* & H. Banks n

author keywords: reactivation of latent virus; mathematical model; KSHV; Herpes virus
MeSH headings : Butyrates / pharmacology; Cell Cycle; Cell Death; Cell Line, Tumor; DNA Replication; DNA, Viral / physiology; Herpesvirus 8, Human / physiology; Humans; Lymphoma / pathology; Lymphoma / virology; Models, Biological; Models, Statistical; Virus Activation; Virus Latency / drug effects
TL;DR: A deterministic mathematical model is developed to describe reactivation of latent virus by chemical inducers and provides good agreement with two independent sets of experimental data, but also points to the need for a new class of experiments which are required for further understanding of the underlying mechanisms. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Sensitivity of dynamical systems to Banach space parameters

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 323(1), 146–161.

By: H. Banks* & H. Nguyen*

author keywords: sensitivity equations; delay differential equations; approximation
Source: Web Of Science
Added: August 6, 2018

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