William Clayton Thompson

Works (8)

Updated: July 5th, 2023 15:48

2019 journal article

Parameter estimation using aggregate data

APPLIED MATHEMATICS LETTERS, 100.

By: H. Banks*, A. Meade*, C. Schacht*, J. Catenacci*, W. Thompson *, D. Abate-Daga *, H. Enderling *

author keywords: Uncertainty quantification; Parameter estimation; CAR T cancer therapy
TL;DR: These issues are discussed in the context of a mathematical model to determine T-cell behavior with cancer chimeric antigen receptor (CAR) therapies where during the collection of data cancerous mice are sacrificed at each measurement time. (via Semantic Scholar)
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Source: Web Of Science
Added: November 25, 2019

2018 journal article

RANDOM DELAY DIFFERENTIAL EQUATIONS AND INVERSE PROBLEMS FOR AGGREGATE DATA PROBLEMS

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 6(4), 4–16.

By: H. Banks n & W. Thompson n

author keywords: Inverse problems; random delay differential equations; aggregate data; approximation and consistency of estimators
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Source: Web Of Science
Added: December 3, 2018

2013 journal article

A novel statistical analysis and interpretation of flow cytometry data

JOURNAL OF BIOLOGICAL DYNAMICS, 7(1), 96–132.

By: H. Banks n, D. Kapraun n, W. Thompson  n, C. Peligero*, J. Argilaguet * & A. Meyerhans *

author keywords: immunology; flow cytometry; cyton models; mathematical and statistical models; label dynamics; parameter estimation; cellular models
MeSH headings : CD4-Positive T-Lymphocytes / drug effects; CD4-Positive T-Lymphocytes / immunology; CD8-Positive T-Lymphocytes / drug effects; CD8-Positive T-Lymphocytes / immunology; Cell Proliferation / drug effects; Data Interpretation, Statistical; Flow Cytometry / statistics & numerical data; Fluoresceins; Fluorescent Dyes; Humans; Mathematical Concepts; Mitogens / pharmacology; Models, Immunological; Models, Statistical; Phytohemagglutinins / pharmacology; Succinimides
TL;DR: A novel mathematical and statistical framework is shown to form the basis for accurate, meaningful analysis of cellular behaviour for a population of cells labelled with the dye carboxyfluorescein succinimidyl ester and stimulated to divide. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2013 journal article

Quantifying CFSE label decay in flow cytometry data

APPLIED MATHEMATICS LETTERS, 26(5), 571–577.

By: H. Banks n, A. Choi n, T. Huffman n, J. Nardini n, L. Poag n & W. Thompson n

author keywords: Carboxyfluorescein succinimidyl ester (CFSE); Ordinary differential equation models; Inverse problems; Exponential decay; Gompertz growth; Akiake Information
TL;DR: A series of models for the label decay in cell proliferation assays when the intracellular dye carboxyfluorescein succinimidyl ester is used as a staining agent are developed. (via Semantic Scholar)
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Added: August 6, 2018

2012 journal article

A review of selected techniques in inverse problem nonparametric probability distribution estimation

Journal of Inverse and Ill-Posed Problems, 20(4), 429–460.

By: H. Banks, Z. Kenz & W. Thompson

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

2011 journal article

A new model for the estimation of cell proliferation dynamics using CFSE data

JOURNAL OF IMMUNOLOGICAL METHODS, 373(1-2), 143–160.

By: H. Banks n, K. Sutton n, W. Thompson  n, G. Bocharov *, M. Doumic *, T. Schenkel*, J. Argilaguet *, S. Giest*, C. Peligero*, A. Meyerhans *

author keywords: Cell proliferation; Cell division number; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems
MeSH headings : Algorithms; Cell Division; Cell Proliferation; Flow Cytometry; Fluoresceins / metabolism; Fluorescent Dyes / metabolism; Humans; Kinetics; Leukocytes, Mononuclear / cytology; Leukocytes, Mononuclear / metabolism; Lymphocytes / cytology; Lymphocytes / metabolism; Models, Biological; Molecular Dynamics Simulation; Succinimides / metabolism
TL;DR: A significant revision of this PDE model is presented which improves the physiological understanding of several parameters and results in a model with a strong physiological basis which is fully capable of replicating the behavior observed in the data. (via Semantic Scholar)
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Added: August 6, 2018

2010 journal article

Estimation of Cell Proliferation Dynamics Using CFSE Data

BULLETIN OF MATHEMATICAL BIOLOGY, 73(1), 116–150.

By: H. Banks n, K. Sutton n, W. Thompson  n, G. Bocharov *, D. Roose *, T. Schenkel*, A. Meyerhans *

author keywords: Cell proliferation; CFSE; Label structured population dynamics; Partial differential equations; Inverse problems
MeSH headings : Cell Proliferation; Flow Cytometry / methods; Flow Cytometry / statistics & numerical data; Fluoresceins; Fluorescent Dyes; Humans; In Vitro Techniques; Least-Squares Analysis; Mathematical Concepts; Models, Biological; Models, Statistical; Succinimides
TL;DR: These investigations suggest that the new decay/label loss and time dependent effective proliferation and death rates do indeed provide improved fits of the model to data, and should prove useful in proliferation assay tracking and modeling, with numerous applications in the biomedical sciences. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2010 journal article

Label structured cell proliferation models

APPLIED MATHEMATICS LETTERS, 23(12), 1412–1415.

By: H. Banks n, F. Charles *, M. Jauffret, K. Sutton n & W. Thompson  n

author keywords: Cell proliferation; Label structured population dynamics; Partial differential equations; Moving coordinate systems
TL;DR: A general class of cell population models that can be used to track the proliferation of cells which have been labeled with a fluorescent dye are presented and address overall label degradation. (via Semantic Scholar)
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Added: August 6, 2018

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