Updated: July 5th, 2023 15:38

2023 journal article

A Comparison of Mathematical and Statistical Modeling with Longitudinal Data: An Application to Ecological Momentary Assessment of Behavior Change in Individuals with Alcohol Use Disorder

*BULLETIN OF MATHEMATICAL BIOLOGY*, *85*(1).

author keywords: Ecological momentary assessment data; Generalized estimating equations; Generalized linear mixed models; Markov models; Generalized linear mixed-effects Markov models; Differential equations

MeSH headings : Humans; Ecological Momentary Assessment; Alcoholism; Mathematical Concepts; Models, Biological; Alcohol Drinking / psychology

UN Sustainable Development Goal Categories

2. Zero Hunger
(OpenAlex)

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: January 3, 2023

2020 review

A tutorial review of mathematical techniques for quantifying tumor heterogeneity

[Review of ]. *MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *17*(4), 3660–3709.

author keywords: cancer heterogeneity; mathematical oncology; tumor growth; glioblastoma multiforme; virtual populations; nonlinear mixed effects; spatiotemporal data; Bayesian estimation; generative; adversarial networks; non-parametric estimation; variational autoencoders; machine learning

MeSH headings : Bayes Theorem; Humans; Machine Learning; Models, Theoretical; Neoplasms; Precision Medicine

TL;DR:
Several techniques that can be used to aid the mathematical modeller in inferring and quantifying both sources of heterogeneity from patient data are reviewed, including virtual populations, nonlinear mixed effects modeling, non-parametric estimation, Bayesian techniques, and machine learning.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 3, 2020

2019 journal article

IMMUNOSUPPRESSANT TREATMENT DYNAMICS IN RENAL TRANSPLANT RECIPIENTS: AN ITERATIVE MODELING APPROACH

*DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B*, *24*(6), 2781–2797.

author keywords: Inverse problem; infection dynamics; differential equations; renal transplantation; immunosuppression therapy; iterative modeling process; BKV

TL;DR:
This work analyzes and improves the current mathematical model by modifying it to be more biologically realistic and amenable for designing an adaptive treatment strategy for renal transplant recipients infected by BK virus.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: April 22, 2019

2018 review

Improving the generation and selection of virtual populations in quantitative systems pharmacology models

[Review of ]. *PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY*, *139*, 15–22.

author keywords: Global optimization; Acceptance rejection sampling; Mathematical modeling; Ordinary differential equations; Genetic algorithm; Metropolis-Hastings

MeSH headings : Algorithms; Models, Biological; Pharmacology / methods; Systems Biology / methods; Uncertainty; User-Computer Interface

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: January 14, 2019

2018 journal article

OPTIMAL DESIGN FOR DYNAMICAL MODELING OF PEST POPULATIONS

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *15*(4), 993–1010.

author keywords: Dynamic modeling; pest management; optimal experimental design; constrained optimization; ecoinformatics

MeSH headings : Animals; Citrus / parasitology; Computer Simulation; Mathematical Concepts; Mites / pathogenicity; Models, Biological; Monte Carlo Method; Pest Control / methods; Pest Control / statistics & numerical data; Plant Diseases / parasitology; Plant Diseases / prevention & control; Population Dynamics

TL;DR:
This work applies SE-optimal design methodology to investigate optimal data collection procedures as a first step in investigating information content in ecoinformatics data sets, and suggests that a field researcher should collect at least 12 data points at the optimal times.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

2. Zero Hunger
(OpenAlex)

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: October 29, 2018

2017 journal article

Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment

*BULLETIN OF MATHEMATICAL BIOLOGY*, *79*(6), 1254–1273.

author keywords: Mathematical psychology; Inverse problems; Iterative weighted least squares; Behavior change; Personalized medicine

MeSH headings : Alcohol Drinking; Alcoholism / therapy; Decision Making; Humans; Models, Theoretical

TL;DR:
This work uses dynamical systems modeling to help understand how selected intra-personal factors interact to form mechanisms of behavior change in problem drinkers and suggests that this is a promising direction in research in alcohol use disorders as well as other behavioral sciences.
(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

2017 journal article

Mathematical and statistical model misspecifications in modelling immune response in renal transplant recipients

*Inverse Problems in Science and Engineering*, *26*(2), 203–222.

author keywords: Renal transplant; BK virus; polyomavirus nephropathy; inverse problems; pseudo measurement errors; difference-based methods; model misspecification; statistical error model; 62P10; 92B99; 62G99; 37N15

TL;DR:
This work examines uncertainty in clinical data from a kidney transplant recipient infected with BK virus and investigates mathematical model and statistical model misspecifications in the context of least squares methodology.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science, NC State University Libraries

Added: November 11, 2019

2016 journal article

AN ADAPTIVE FEEDBACK METHODOLOGY FOR DETERMINING INFORMATION CONTENT IN STABLE POPULATION STUDIES

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *13*(4), 653–671.

author keywords: Demographic data; inverse problem; ordinary least squares; information content; adaptive feedback

MeSH headings : Animals; Daphnia / physiology; Ecosystem; Life Tables; Models, Biological; Population Dynamics

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Dynamics of a Data Based Ovarian Cancer Growth and Treatment Model with Time Delay

*Journal of Dynamics and Differential Equations*, *28*(3-4), 1393–1414.

author keywords: Stability; Delay equation; Droop model; Ovarian tumor model; Data validation

TL;DR:
A simple model that describes ovarian tumor growth and tumor induced angiogenesis, subject to on and off anti-angiogenesis treatment is presented, including proving positivity of the solutions so that they are biologically meaningful, as well as discussing local and global stability.
(via Semantic Scholar)

Source: Crossref

Added: December 31, 2020

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