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Ordinary Differential Equations and Applied Dynamics Commons™
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Articles 1 - 19 of 19
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Spora: A Journal of Biomathematics
The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with …
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Spora: A Journal of Biomathematics
Tasmanian devil populations have been devastated by devil facial tumor disease (DFTD) since its first appearance in 1996. The average lifespan of a devil has decreased from six years to three years. We present an age-structured model to represent how the disease has affected the age and breeding structures of the population. We show that with the recent increase in the breeding of juvenile devils, the overall devil population will increase but not nearly to pre-DFTD levels. The basic reproductive number may be increased with the influx of young breeding devils. In addition, our model shows that the release of …
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno
Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin
Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge
When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi
Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
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.
Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu
Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams
One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Role Of The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson
The Role Of The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi
A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung
Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Control Of Swimmer's Itch, Daniel Bonneville
Control Of Swimmer's Itch, Daniel Bonneville
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.