Grace M. Kepler

Works (13)

Updated: July 6th, 2023 08:05

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
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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UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A model for HCMV infection in immunosuppressed patients

MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663.

By: G. Kepler n, H. Banksa, M. Davidian n  & E. Rosenberg n

author keywords: HCMV; CMV; Herpes; Transplantation; Mathematical model; Immunosuppression
topics (OpenAlex): Cytomegalovirus and herpesvirus research; Polyomavirus and related diseases; Hepatitis C virus research
TL;DR: Simulations with the approximated parameter values demonstrates that the model is capable of describing primary, latent, and secondary (reactivated) HCMV infection. (via Semantic Scholar)
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3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Effects of differences in nasal anatomy on airflow distribution: A comparison of four individuals at rest

ANNALS OF BIOMEDICAL ENGINEERING, 36(11), 1870–1882.

By: R. Segal*, G. Kepler n & J. Kimbell*

author keywords: Computational fluid dynamics; Nasal airflow simulation; Flow experiments; Flow visualization; Human; Inspiratory airflow
MeSH headings : Adult; Computer Simulation; Female; Humans; Male; Models, Anatomic; Nasal Cavity / anatomy & histology; Nasal Cavity / physiology; Nasopharynx / physiology; Pulmonary Ventilation / physiology
topics (OpenAlex): Nasal Surgery and Airway Studies; Food Supply Chain Traceability; Inhalation and Respiratory Drug Delivery
TL;DR: It is suggested that significant inter-individual differences exist in bulk airflow patterns in the nose as well as streamlines and velocity magnitudes predicted by the computational model. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2007 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
topics (OpenAlex): Viral-associated cancers and disorders; Parvovirus B19 Infection Studies; Hepatitis B Virus Studies
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)
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Source: Web Of Science
Added: August 6, 2018

2006 journal article

Material surface design to counter electromagnetic interrogation of targets

SIAM JOURNAL ON APPLIED MATHEMATICS, 66(3), 1027–1049.

By: H. Banks*, K. Ito*, G. Kepler* & J. Toivanen*

author keywords: electromagnetic; inverse scattering; attenuation
topics (OpenAlex): Electromagnetic Scattering and Analysis; Electromagnetic Simulation and Numerical Methods
TL;DR: F Fresnel's law for the reflectance index is extended to the electromagnetic propagation in anisotropic composite layers of ferromagnetic and electronic devices and is used to demonstrate feasibility of control of reflections. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Reduced order modeling and control of thin film growth in an HPCVD reactor

SIAM JOURNAL ON APPLIED MATHEMATICS, 62(4), 1251–1280.

By: H. Banks*, S. Beeler, G. Kepler* & H. Tran* 

author keywords: chemical vapor deposition; reduced order model; nonlinear feedback tracking control; nonlinear compensator; state-dependent Riccati equations
topics (OpenAlex): Model Reduction and Neural Networks; Turbomachinery Performance and Optimization; Fluid Dynamics and Turbulent Flows
TL;DR: This paper describes the development of a reduced order model-based feedback control methodology for regulation of the growth of thin films in a high-pressure chemical vapor deposition (HPCVD) reactor. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 journal article

Compensator control for chemical vapor deposition film growth using reduced-order design models

IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 14(3), 231–241.

By: G. Kepler n, H. Tran n  & H. Banks n

author keywords: compensators; CVD; feedback control; reduced order
topics (OpenAlex): Model Reduction and Neural Networks; Probabilistic and Robust Engineering Design; Nuclear reactor physics and engineering
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 journal article

Improved inference of mutation rates: I. An integral representation for the Luria-Delbruck distribution

THEORETICAL POPULATION BIOLOGY, 59(1), 41–48.

By: T. Kepler  n & M. Oprea*

MeSH headings : Cell Cycle / genetics; Confidence Intervals; Data Interpretation, Statistical; Markov Chains; Models, Genetic; Mutation / genetics; Statistical Distributions
topics (OpenAlex): Evolution and Genetic Dynamics; Bayesian Methods and Mixture Models; Wheat and Barley Genetics and Pathology
TL;DR: A scaling or "standardization" technique is found that reduces the family of distributions parameterized by three parameters to a single distribution with no parameters, valid so long as the product of the mutation rate and the final culture is sufficiently large. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2000 journal article

Reduced order model compensator control of species transport in a CVD reactor

OPTIMAL CONTROL APPLICATIONS & METHODS, 21(4), 143–160.

By: G. Kepler n, H. Tran n  & H. Banks n

author keywords: linear quadratic control; proper orthogonal decomposition; reduced order model; chemical vapour deposition; Dirichlet boundary control
topics (OpenAlex): Model Reduction and Neural Networks; Nuclear reactor physics and engineering; Probabilistic and Robust Engineering Design
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UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1999 journal article

Optimal design of a high pressure organometallic chemical vapor deposition reactor

MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80.

By: K. Bachmann n, H. Banks n, C. Hopfner*, G. Kepler n, S. LeSure n, S. McCall n, J. Scroggs n

topics (OpenAlex): Scientific Measurement and Uncertainty Evaluation; Heat Transfer and Numerical Methods; Chemical and Environmental Engineering Research
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Computer simulation of inspiratory nasal airflow and inhaled gas uptake in a rhesus monkey

TOXICOLOGY AND APPLIED PHARMACOLOGY, 150(1), 1–11.

By: G. Kepler*, R. Richardson*, K. Morgan* & J. Kimbell*

MeSH headings : Air Movements; Air Pressure; Animals; Computer Simulation; Gases / pharmacokinetics; Macaca mulatta; Male; Microcomputers; Nasal Cavity / physiology; Respiratory Mechanics / physiology
topics (OpenAlex): Advanced Chemical Sensor Technologies; Insect Pheromone Research and Control; Indoor Air Quality and Microbial Exposure
TL;DR: This rhesus computer model will provide a means for confirming the extrapolation of toxicity data between species by extrapolating rat simulation results to monkeys and comparing these predictions with primate lesion data. (via Semantic Scholar)
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6. Clean Water and Sanitation (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Simulation of a vertical reactor for high pressure organometallic chemical vapor deposition

MATERIALS SCIENCE AND ENGINEERING B-SOLID STATE MATERIALS FOR ADVANCED TECHNOLOGY, 57(1), 9–17.

By: G. Kepler n, C. Hopfner n, J. Scroggs n & K. Bachmann n

author keywords: organometallic chemical vapor deposition; above-atmosphere pressure; numerical simulation; vertical reactor; compressible flow
topics (OpenAlex): Fluid Dynamics and Thin Films; Nanofabrication and Lithography Techniques; Copper Interconnects and Reliability
Source: Web Of Science
Added: August 6, 2018

1997 article

Heteroepitaxial processes at low and elevated pressures

MATERIALS RESEARCH IN LOW GRAVITY, Vol. 3123, pp. 64–74.

By: K. Backmann & G. Kepler n

author keywords: high pressure chemical vapor deposition; reactor design; real-time optical process monitoring
topics (OpenAlex): Advanced optical system design; Surface Roughness and Optical Measurements
Source: Web Of Science
Added: August 6, 2018

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