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Immunology of Infectious Disease Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
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- Applied Mathematics (12)
- Physical Sciences and Mathematics (12)
- Ordinary Differential Equations and Applied Dynamics (9)
- Medicine and Health Sciences (6)
- Disease Modeling (4)
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- Diseases (4)
- Other Applied Mathematics (4)
- Medical Biomathematics and Biometrics (3)
- Medical Sciences (3)
- Epidemiology (2)
- Public Health (2)
- Statistics and Probability (2)
- Virus Diseases (2)
- Applied Statistics (1)
- Bacteria (1)
- Bacterial Infections and Mycoses (1)
- Bacteriology (1)
- Dynamic Systems (1)
- Ecology and Evolutionary Biology (1)
- Genetics (1)
- Genetics and Genomics (1)
- Medical Specialties (1)
- Microbiology (1)
- Nephrology (1)
- Non-linear Dynamics (1)
- Organisms (1)
- Other Statistics and Probability (1)
- Keyword
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- Active subspaces (1)
- Anthrax (1)
- Antibody testing (1)
- Antiretroviral therapy (1)
- B. anthracis (1)
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- Bacterial killing (1)
- Bacterial replication (1)
- COVID-19 pandemic (1)
- Comparative analysis (1)
- Compartmental models (1)
- Continuous ODE model (1)
- Cytokines (1)
- Data fitting (1)
- Epidemic modeling (1)
- Germination (1)
- HIV infection (1)
- In vitro (1)
- Kidney disease (1)
- Long COVID (1)
- Mathematical modeling (1)
- Probabilistic models (1)
- SEIR (1)
- Social distancing efficiency (1)
- Time-dependence (1)
- Time-dependent sensitivity analysis (1)
- Tuberculosis (1)
- Publication
- Publication Type
Articles 1 - 15 of 15
Full-Text Articles in Immunology of Infectious Disease
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 …
Decoding Early Covid-19 Responses Using Mathematical Modeling Of Social Distancing Strategies Across Multiple Countries, Sri Gunturu, Suki Lewis, Katelyn Nguyen, Asma Azizi
Decoding Early Covid-19 Responses Using Mathematical Modeling Of Social Distancing Strategies Across Multiple Countries, Sri Gunturu, Suki Lewis, Katelyn Nguyen, Asma Azizi
Spora: A Journal of Biomathematics
During the early phase of the COVID-19 pandemic, before vaccines were available, countries implemented diverse combinations of social-distancing (SD) measures shaped by cultural norms and public acceptance. These differences produced varied outcomes in controlling viral spread, offering lessons for future health-crisis preparedness. We performed a reverse-engineering analysis of early COVID-19 case data from five socioculturally distinct countries—India, Vietnam, Italy, Finland, and the United States—selected to capture a range of initial prevalence levels. Using mathematical modeling and data fitting, we inferred the relative contributions of three SD interventions: face masking, quarantine, and isolation of infected individuals. We then employed an efficiency …
[Kyda] Biologically Grounded Surrogate-Driven Parameter Inference For Sparsely Observed Dynamical Systems, Joshua C. Macdonald
[Kyda] Biologically Grounded Surrogate-Driven Parameter Inference For Sparsely Observed Dynamical Systems, Joshua C. Macdonald
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Immune Dysregulation In Covid-19: Mathematical Modeling Of The Within-Host Dynamics, Pagnapech Ngoun, Nicolas Alvarez, Ayesh Awad, Hwayeon Ryu
Immune Dysregulation In Covid-19: Mathematical Modeling Of The Within-Host Dynamics, Pagnapech Ngoun, Nicolas Alvarez, Ayesh Awad, Hwayeon Ryu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
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.
Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro
Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Spora: A Journal of Biomathematics
One of many risks facing HIV+ individuals is the development of kidney dysfunction and end stage kidney disease (ESKD). A differential equation-based mathematical model was developed to assess the impact of antiretroviral therapy on the progression to kidney disease and on reducing mortality due to kidney failure. Analytical and numerical predictions of long-term HIV+ ESKD prevalence show that therapy can lead to either extremely low levels of disease prevalence or increased prevalence, depending on drug efficacy levels and mechanisms of action. Maintenance of HIV+ ESKD prevalence below one individual is possible with sufficient efficacy (e.g., 99%) against the progression from …
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Spora: A Journal of Biomathematics
Although many organizations throughout the world have worked tirelessly to control tuberculosis (TB) epidemics, no country has yet been able to eradicate the disease completely. We present two compartmental models representing the spread of a TB epidemic through a population. The first is a general TB model; the second is an adaptation for regions in which HIV is prevalent, accounting for the effects of TB/HIV co-infection. Using active subspaces, we conduct time-dependent sensitivity analysis on both models to explore the significance of certain parameters with respect to the spread of TB. We use the results of this sensitivity analysis to …
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.
Simulating Antibiotic Resistance In The Computer Lab And Biology Lab: Ideas For Undergraduate Projects, Anne E. Yust
Simulating Antibiotic Resistance In The Computer Lab And Biology Lab: Ideas For Undergraduate Projects, Anne E. Yust
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Spora: A Journal of Biomathematics
Studies done on interactions between spores and macrophages done in vitro show inconsistent results based on experimental protocol and inhibit meaningful extrapolation to in vivo. In this study, we perform a sensitivity analysis of a model representing in vitro studies of interactions between anthrax spores and macrophages to help address the effects of these inconsistencies. We perform both local and global analyses using Latin hypercube sampling and partial rank correlation coefficients. Our analysis indicates the amount of intracellular bacteria over time is most sensitive to the killing of intracellular bacteria by the macrophages and replication of the bacteria inside …
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Markov Models Reveal Host Controls Of Within-Host Disease Dynamics, Tara Stewart, Zoi Rapti, Carla E. Cáceres
Markov Models Reveal Host Controls Of Within-Host Disease Dynamics, Tara Stewart, Zoi Rapti, Carla E. Cáceres
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Cross-Species Extrapolation Of Inhalation Anthrax For Risk Assessment Purposes, Megan O. Powell
Modeling Cross-Species Extrapolation Of Inhalation Anthrax For Risk Assessment Purposes, Megan O. Powell
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.