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Full-Text Articles in Physical Sciences and Mathematics

Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla Nov 2017

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 …


Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell, Kristen Deetz, Nygel Foster, Darius Leftwich, Chad Meyer, Shalin Patel, Carlos Barajas, Matthias K. Gobbert, Zana Coulibaly Nov 2017

Examining The Electrical Excitation, Calcium Signaling, And Mechanical Contraction Cycle In A Heart Cell, Kristen Deetz, Nygel Foster, Darius Leftwich, Chad Meyer, Shalin Patel, Carlos Barajas, Matthias K. Gobbert, Zana Coulibaly

Spora: A Journal of Biomathematics

As the leading cause of death in the United States, heart disease has become a principal concern in modern society. Cardiac arrhythmias can be caused by a dysregulation of calcium dynamics in cardiomyocytes. Calcium dysregulation, however, is not yet fully understood and is not easily predicted; this provides motivation for the subsequent research. Excitation-contraction coupling (ECC) is the process through which cardiomyocytes undergo contraction from an action potential. Calcium induced calcium release (CICR) is the mechanism through which electrical excitation is coupled with mechanical contraction through calcium signaling. The study of the interplay between electrical excitation, calcium signaling, and mechanical …


Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo Nov 2017

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 …


Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, Adrienne C. Kinney, Ellen R. Swanson Nov 2017

Modeling Aggregation Of Proliferating Microglia In Response To Amyloid-Beta In Dementia, Adrienne C. Kinney, Ellen R. Swanson

Spora: A Journal of Biomathematics

Amyloid-beta plaques are prominent biological markers in dementia brains. In response to plaque formation, the brain's immune cells, microglia, become reactive. Microglia are measurable cells that surround amyloid-beta plaques, indicating their location. A system of partial differential equations describes the concentration of microglia in dementia brains by incorporating chemotactic signaling. However, this system fails to incorporate increasing numbers of reactive microglia cells in response to amyloid-beta aggregation. A system of ordinary differential equations describing the number of significant cells and proteins in the brain suggests the amount of reactive microglia increases significantly during the progression of dementia. We couple these …


Lessons And Perspectives From The Data Science Industry, Elsa Schaefer Oct 2017

Lessons And Perspectives From The Data Science Industry, Elsa Schaefer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, Madison Cox, Courtney Davis Phd, Rosi Dagit Oct 2017

Mathematically Modeling The Impact Of Invasive Crayfish Removal On Oncorhynchus Mykiss Population Dynamics In Topanga Creek, Madison Cox, Courtney Davis Phd, Rosi Dagit

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii Oct 2017

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.


Heads And Tails, Julie Simons Oct 2017

Heads And Tails, Julie Simons

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Cellular Automaton Modeling Approach To Chestnut Blight Canker Development, Samuel Iselin Oct 2017

A Cellular Automaton Modeling Approach To Chestnut Blight Canker Development, Samuel Iselin

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 Oct 2017

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 Oct 2017

Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Turning Monitoring Data Into Simple Population Growth Models: Getting Your Ducks In A Row, Holly Gaff Oct 2017

Turning Monitoring Data Into Simple Population Growth Models: Getting Your Ducks In A Row, Holly Gaff

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo Oct 2017

Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin Oct 2017

Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik Oct 2017

Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez Oct 2017

Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young Oct 2017

Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour Oct 2017

Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge Oct 2017

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 Oct 2017

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.


Drawbacks Of Utilizing The Logit Link In Propensity Score Weighting Adjustment, Evrim Oral Oct 2017

Drawbacks Of Utilizing The Logit Link In Propensity Score Weighting Adjustment, Evrim Oral

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Critical Firing Rate In Synchronous Transitions Of Coupled Neurons, Annabelle Shaffer, Epaminondas Rosa, Rosangela Follmann Oct 2017

A Critical Firing Rate In Synchronous Transitions Of Coupled Neurons, Annabelle Shaffer, Epaminondas Rosa, Rosangela Follmann

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Method For Sensitivity Analysis And Parameter Estimation Applied To A Large Reaction-Diffusion Model Of Cell Polarization, Marissa Renardy, Tau-Mu Yi, Dongbin Xiu, Ching-Shan Chou Oct 2017

A Method For Sensitivity Analysis And Parameter Estimation Applied To A Large Reaction-Diffusion Model Of Cell Polarization, Marissa Renardy, Tau-Mu Yi, Dongbin Xiu, Ching-Shan Chou

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 Oct 2017

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.


Handicap Principle Implies Emergence Of Dimorphic Ornaments, Sara Clifton, Daniel M. Abrams, Rosemary I. Braun Oct 2017

Handicap Principle Implies Emergence Of Dimorphic Ornaments, Sara Clifton, Daniel M. Abrams, Rosemary I. Braun

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Should I Get A Flu Shot? How Well Did This Go Last Year?, Winfried Just, David Gerberry, Ying Xin Oct 2017

Should I Get A Flu Shot? How Well Did This Go Last Year?, Winfried Just, David Gerberry, Ying Xin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu Oct 2017

Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Handguns And Hotspots: Spatio- Temporal Models For Gun Violence In Chicago,Il, Shelby Scott Oct 2017

Handguns And Hotspots: Spatio- Temporal Models For Gun Violence In Chicago,Il, Shelby Scott

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 Oct 2017

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.


Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel Oct 2017

Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.