Persistently infecting viruses remain within infected cells for a prolonged period of time without killing the cells and can reproduce via budding virus particles or passing on to daughter cells after division. The ability for populations of infected cells to be long-lived and replicate viral progeny through cell division may be critical for virus survival in examples such as HIV latent reservoirs, tumor oncolytic virotherapy, and non-virulent phages in microbial hosts. We consider a model for persistent viral infection within a replicating cell population with time delay in the eclipse stage prior to infected cell replicative form. We obtain reproduction numbers that provide criteria for the existence and stability of the equilibria of the system and provide bifurcation diagrams illustrating transcritical (backward and forward), saddle-node, and Hopf bifurcations, and provide evidence of homoclinic bifurcations and a Bogdanov–Takens bifurcation. We investigate the possibility of long term survival of the infection (represented by chronically infected cells and free virus) in the cell population by using the mathematical concept of robust uniform persistence. Using numerical continuation software with parameter values estimated from phage-microbe systems, we obtain two parameter bifurcation diagrams that divide parameter space into regions with different dynamical outcomes. We thus investigate how varying different parameters, including how the time spent in the eclipse phase, can influence whether or not the virus survives.
MS01-OTHE-1: The 10th anniversary of MBI’s 2013 Workshop for Young Researchers in Mathematical Biology
Organized by: Rebecca Everett, Angela Peace Note: this minisymposia has multiple sessions. The other session is MS02-OTHE-1.
- Hayriye Gulbudak University of Louisiana at Lafayette (Mathematics) "A delay model for persistent viral infections in replicating cells"
- Amy Buchmann University of San Diego (Mathematics) "A decade of modeling microscale biofluids"
- Reginald McGee College of the Holy Cross (Mathematics and Computer Science) "Towards A Modeling Framework For Pediatric Sickle Cell Pain"
- Michael A. Robert Virginia Tech (Department of Mathematics) "Investigating impacts on malaria transmission of altered bioamine levels in Anopheles mosquitoes"
MS01-OTHE-2: Recent Studies on the Biomechanics and Fluid Dynamics of Living Systems: Locomotion and Fluid Transport
Organized by: Alexander Hoover, Matea Santiago Note: this minisymposia has multiple sessions. The other session is MS02-OTHE-2.
- Alexander P. Hoover Cleveland State University (Mathematics) "Interfacing in-Situ and in-Silico Experiments in Organismal Fluid Pumping"
- Silas Alben University of Michigan (Mathematics Department) "Efficient bending and lifting patterns in snake locomotion"
- Matea Santiago University of Arizona (Mathematics) "The role of elasticity and tension in soft coral pulsing"
MS02-OTHE-1: The 10th anniversary of MBI’s 2013 Workshop for Young Researchers in Mathematical Biology
Organized by: Rebecca Everett, Angela Peace Note: this minisymposia has multiple sessions. The other session is MS01-OTHE-1.
- Ashlee N. Ford Versypt University at Buffalo, The State University of New York (Department of Chemical and Biological Engineering) "Multiscale Modeling of Tissue Remodeling and Damage"
- Angela Peace Texas Tech University (Department of Mathematics and Statistics) "Adaptive foraging behaviors in food web models"
- Open Discussion "Open Discussion: Best Practices for Workshops for Young Researchers"
MS02-OTHE-2: Recent Studies on the Biomechanics and Fluid Dynamics of Living Systems: Locomotion and Fluid Transport
Organized by: Alexander Hoover, Matea Santiago Note: this minisymposia has multiple sessions. The other session is MS01-OTHE-2.
MS05-OTHE-2: Preparing for the Next Pandemic: Modeling and Simulation in Drug Development
Organized by: Celeste Vallejo
- Sriram Chandrasekaran University of Michigan (Biomedical Engineering) "Drug discovery and repurposing using hybrid machine learning and biochemical modeling"
- Amber Smith University of Tennessee Health Science Center (Department of Pediatrics) "PKPD modeling of Plasmodium falciparum ATP4 inhibitor SJ733 with the pharmacokinetic enhancer cobicistat"
- Celeste Vallejo Simulations Plus, Inc. (DILIsym Services) "Potential application of a mechanistic model of chronic lung disease to the treatment of post-COVID lung fibrosis and other respiratory pandemics"
MS06-OTHE-1: Modeling sex differences in health and disease
Organized by: Melissa Stadt Note: this minisymposia has multiple sessions. The other session is MS07-OTHE-1.
- Lihong Zhao University of California, Merced (Department of Applied Mathematics) "Mathematical modeling of the menstrual cycle and hormonal contraception"
- Erica Graham Bryn Mawr College (Mathematics) "Functional Variations in the Ovulatory Cycle: Insights from Modeling"
- Carley V. Cook University at Buffalo (Department of Chemical and Biological Engineering) "Mathematical Modeling of Osteoporosis Due to Surgical Menopause"
MS07-OTHE-1: Modeling sex differences in health and disease
Organized by: Melissa Stadt Note: this minisymposia has multiple sessions. The other session is MS06-OTHE-1.
- Melissa M. Stadt University of Waterloo (Applied Mathematics) "Maternal calcium homeostasis: A mathematical analysis of the differential impacts of pregnancy and lactation"
- Karin Leiderman University of North Carolina at Chapel Hill (Mathematics, Computational Medicine) "Mathematical modeling to understand the effects of estrogen on platelet activation"
- Tony Humphries McGill University (Mathematics and Statistics) "Sex Specific Mathematical Modelling of Erythropoiesis"
MS08-OTHE-1: Mathematical Approaches to Support Women’s Health
Organized by: Ashlee N. Ford Versypt
- Ying Zhang Brandeis University (Mathematics) "Studying the Effects of Oral Contraceptives on Coagulation Using a Mathematical Modeling Approach"
- Susan Rogowski, Alejandra D. Herrera-Reyes, and Yena Kim Florida State University (Mathematics) "Parameter Estimation for COVID-19 SVIRD Model Using Predictor-Corrector Algorithm"
- Yeona Kang Howard University (Mathematics) "Extended-release Pre-Exposure Prophylaxis and Drug Resistant HIV"
- Rayanne Luke Johns Hopkins University (Applied Mathematics and Statistics) "Towards a mathematical understanding of ventilator-induced lung injury in preterm rat pups"
Sub-group contributed talks
CT01-OTHE-1: OTHE Subgroup Contributed Talks
- Caleb Mayer University of Michigan "Mathematical Modeling of Circadian Rhythms Across Populations with Consumer-Grade Wearable Data"
- Edward J Hancock The University of Sydney "Modelling the Synchronization of the Membrane and Calcium Clocks in Lymphatic Muscle Cells"
- Haniyeh Fattahpour Georgia State University "Mathematical modeling of cell growth in a tissue engineering scaffold pore"
- Yue Wu Stanford University "Classify dynamic responses to food through time-series glucose data"
CT03-OTHE-1: OTHE Subgroup Contributed Talks
- Chengyue Wu University of Texas at Austin "Optimization of a longitudinal imaging protocol to monitor the response of breast cancer to neoadjuvant therapy via Bayesian-based data assimilation"
- Cole Butler North Carolina State University "Partially functional resistance in gene drive control"
- Daniel Cooney University of Pennsylvania "A PDE Model for Protocell Evolution and the Origin of Chromosomes via Multilevel Selection"
- Hayden Fennell Indiana University Bloomington "Computational Apprenticeship: A Constructivist Approach for Teaching Modeling and Simulation"
Sub-group poster presentations