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Medical Biomathematics and Biometrics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
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- Applied Mathematics (8)
- Physical Sciences and Mathematics (8)
- Life Sciences (6)
- Ordinary Differential Equations and Applied Dynamics (5)
- Dynamic Systems (3)
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- Immunology and Infectious Disease (3)
- Immunology of Infectious Disease (3)
- Disease Modeling (2)
- Diseases (2)
- Mathematics (2)
- Numerical Analysis and Computation (2)
- Other Applied Mathematics (2)
- Systems Biology (2)
- Bacterial Infections and Mycoses (1)
- Computer Sciences (1)
- Control Theory (1)
- Critical Care Nursing (1)
- Dynamical Systems (1)
- Ecology and Evolutionary Biology (1)
- Non-linear Dynamics (1)
- Numerical Analysis and Scientific Computing (1)
- Nursing (1)
- Other Mathematics (1)
- Other Statistics and Probability (1)
- Population Biology (1)
- Statistics and Probability (1)
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Articles 1 - 10 of 10
Full-Text Articles in Medical Biomathematics and Biometrics
A Probabilistic Modeling Analysis Of The Longitudinal Immune Response To Infection And Vaccination Across Demographic Groups And Pulmonary Symptoms, James O'Hanlon, Kaitlyn Sullivan, Lyndsey M. Muehling, Glenda Canderan, Jie Sun, Judith A. Woodfolk, Jeffrey M. Wilson, Rayanne A. Luke
A Probabilistic Modeling Analysis Of The Longitudinal Immune Response To Infection And Vaccination Across Demographic Groups And Pulmonary Symptoms, James O'Hanlon, Kaitlyn Sullivan, Lyndsey M. Muehling, Glenda Canderan, Jie Sun, Judith A. Woodfolk, Jeffrey M. Wilson, Rayanne A. Luke
Spora: A Journal of Biomathematics
Antibody and cytokine kinetics describe the dynamic response to immune events such as infection and vaccination. These dynamics are not fully understood, and mathematical characterization may help explain variability across demographic groups and pulmonary symptoms post-acute infection. We fit time-dependent probability models to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) data to obtain distributions of longitudinal antibody response and cytokine values. To assess differences between groups, an overlap metric is applied to the modeled response curves. Our antibody models suggest significant differences between male and female populations and demonstrate deficient antibody responses of less-healthy groups such as smokers. Our cytokine …
Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev
Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev
Theses and Dissertations
Multi-drug resistance is an evolutionary process in which treatment eliminates sensitive cells, allowing resistant clones to dominate. This thesis investigates this process using a framework integrating population dynamics, evolutionary game theory, and optimal control theory. We develop a two-population logistic growth model describing competition between drug-sensitive and drug-resistant cells under treatment, construct dose-dependent payoff matrices and replicator dynamics to characterize evolutionary competition, and derive a critical drug level Dcrit = (rS - rR)/(dS - dR) at which resistant cells gain a fitness advantage. An optimal control problem is formulated via Pontryagin's Maximum Principle to identify schedules …
Probabilistic Modeling Of Antibody Kinetics Post Infection And Vaccination, Rayanne Luke, Prajakta Bedekar, Anthony J. Kearsley
Probabilistic Modeling Of Antibody Kinetics Post Infection And Vaccination, Rayanne Luke, Prajakta Bedekar, Anthony J. Kearsley
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Testing The Effect Of Acetaminophen Overdose On The Liver And The Role Of Biomarkers To Predict Death Or Survival, Christine Brasic
Testing The Effect Of Acetaminophen Overdose On The Liver And The Role Of Biomarkers To Predict Death Or Survival, Christine Brasic
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematics Saves Lives: Models And Signals Enabling Medicine And Biology, Raina Robeva
Mathematics Saves Lives: Models And Signals Enabling Medicine And Biology, Raina Robeva
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren
Transient Dynamics Of Infection Transmission In An Intensive Care Unit, Christopher Short, Matthew S. Mietchen, Eric T. Lofgren
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Not Just Either/Or: Discrete And Continuous Models Play Nicely Together In A Model Of Hospital Infection, Lester Caudill, Barry Lawson
Not Just Either/Or: Discrete And Continuous Models Play Nicely Together In A Model Of Hospital Infection, Lester Caudill, Barry Lawson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Introducing The Fractional Differentiation For Clinical Data-Justified Prostate Cancer Modelling Under Iad Therapy, Ozlem Ozturk Mizrak
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Cheating The Cheaters: Spatial Dynamics In The Evolutionary Stability Of Antibiotic Resistance, Devin Akman
Cheating The Cheaters: Spatial Dynamics In The Evolutionary Stability Of Antibiotic Resistance, Devin Akman
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.