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Articles 181 - 210 of 257
Full-Text Articles in Applied Mathematics
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Biology and Medicine Through Mathematics Conference
No abstract provided.
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Two-Species Stage-Structured Model For West Nile Virus Transmission, Taylor A. Beebe, Suzanne L. Robertson
A Two-Species Stage-Structured Model For West Nile Virus Transmission, Taylor A. Beebe, Suzanne L. Robertson
Mathematics and Applied Mathematics Publications
We develop a host–vector model of West Nile virus (WNV) transmission that incorporates multiple avian host species as well as host stage-structure (juvenile and adult stages), allowing for both species-specific and stage-specific biting rates of vectors on hosts. We use this ordinary differential equation model to explore WNV transmission dynamics that occur between vectors and multiple structured host populations as a result of heterogeneous biting rates on species and/or life stages. Our analysis shows that increased exposure of juvenile hosts generally results in larger outbreaks of WNV infectious vectors when compared to differential host species exposure. We also find that …
A Theoretical Framework For Analyzing Coupled Neuronal Networks: Application To The Olfactory System, Andrea K. Barreiro, Shree Hari Gautam, Woodrow L. Shew, Cheng Ly
A Theoretical Framework For Analyzing Coupled Neuronal Networks: Application To The Olfactory System, Andrea K. Barreiro, Shree Hari Gautam, Woodrow L. Shew, Cheng Ly
Mathematics and Applied Mathematics Publications
Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have traditionally been confined to a particular region or layer of cortex. Here we develop new theoretical methods to study interactions between and within two brain regions, based on experimental measurements of spiking activity simultaneously recorded from the two regions. By systematically comparing experimentally-obtained spiking statistics to (efficiently computed) model spike rate statistics, we identify regions in model parameter space that are consistent with the experimental data. We apply our new technique …
A Mathematical System For Human Implantable Wound Model Studies, Salomonsky Paul-Michael, Rebecca Segal
A Mathematical System For Human Implantable Wound Model Studies, Salomonsky Paul-Michael, Rebecca Segal
Mathematics and Applied Mathematics Publications
In this work, we present a mathematical model, which accounts for two fundamental processes involved in the repair of an acute dermal wound. These processes include the inflammatory response and fibroplasia. Our system describes each of these events through the time evolution of four primary species or variables. These include the density of initial damage, inflammatory cells, fibroblasts and deposition of new collagen matrix. Since it is difficult to populate the equations of our model with coefficients that have been empirically derived, we fit these constants by carrying out a large number of simulations until there is reasonable agreement between …
Management Of Invasive Allee Species, David Chan, C. M. Kent, D. M. Johnson
Management Of Invasive Allee Species, David Chan, C. M. Kent, D. M. Johnson
Mathematics and Applied Mathematics Publications
In this study, we use a discrete, two-patch population model of an Allee species to examine different methods in managing invasions. We first analytically examine the model to show the presence of the strong Allee effect, and then we numerically explore the model to test the effectiveness of different management strategies. As expected invasion is facilitated by lower Allee thresholds, greater carrying capacities and greater proportions of dispersers. These effects are interacting, however, and moderated by population growth rate. Using the gypsy moth as an example species, we demonstrate that the effectiveness of different invasion management strategies is context-dependent, combining …
Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron
Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron
Statistical Sciences and Operations Research Data
This zip file contains Matlab scripts and ode (XPP) files to calculate the statistics of the models in "Noise-Enhanced Coding in Phasic Neuron Spike Trains". This article is published in PLoS ONE.
The Effects Of Disturbance And Species Specific Interactions On Diversity In An Agent Based Forest Simulation, Matthew E. Mills
The Effects Of Disturbance And Species Specific Interactions On Diversity In An Agent Based Forest Simulation, Matthew E. Mills
Theses and Dissertations
In ecology literature, there is much data which suggests that conspecific negative density dependence (CNDD) and abiotic disturbances increase biodiversity in forests. This thesis elucidates the notion that not only do these two forces increase diversity, but they may also interact with one another in order to achieve higher levels of biodiversity. Abiotic disturbances, like fires and hurricanes, can indirectly impact conspecific effects because when these forces remove individuals from the landscape, the role of the conspecific effects will change. The interaction of these two factors in biodiversity are explored in an agent based forest simulation through a resource surface. …
Mathematical Models Of The Inflammatory Response In The Lungs, Sarah B. Minucci
Mathematical Models Of The Inflammatory Response In The Lungs, Sarah B. Minucci
Theses and Dissertations
Inflammation in the lungs can occur for many reasons, from bacterial infections to stretch by mechanical ventilation. In this work we compare and contrast various mathematical models for lung injuries in the categories of acute infection, latent versus active infection, and particulate inhalation. We focus on systems of ordinary differential equations (ODEs), agent-based models (ABMs), and Boolean networks. Each type of model provides different insight into the immune response to damage in the lungs. This knowledge includes a better understanding of the complex dynamics of immune cells, proteins, and cytokines, recommendations for treatment with antibiotics, and a foundation for more …
Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro
Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro
Theses and Dissertations
Einstein's field equations are a system of ten partial differential equations. For a special class of spacetimes known as Gowdy spacetimes, the number of equations is reduced due to additional structure of two dimensional isometry groups with mutually orthogonal Killing vectors. In this thesis, we focus on a particular model of Gowdy spacetimes known as the polarized T3 model, and provide an explicit solution to Einstein's equations.
Computational Fluid Dynamics In A Terminal Alveolated Bronchiole Duct With Expanding Walls: Proof-Of-Concept In Openfoam, Jeremy Myers
Computational Fluid Dynamics In A Terminal Alveolated Bronchiole Duct With Expanding Walls: Proof-Of-Concept In Openfoam, Jeremy Myers
Theses and Dissertations
Mathematical Biology has found recent success applying Computational Fluid Dynamics (CFD) to model airflow in the human lung. Detailed modeling of flow patterns in the alveoli, where the oxygen-carbon dioxide gas exchange occurs, has provided data that is useful in treating illnesses and designing drug-delivery systems. Unfortunately, many CFD software packages have high licensing fees that are out of reach for independent researchers. This thesis uses three open-source software packages, Gmsh, OpenFOAM, and ParaView, to design a mesh, create a simulation, and visualize the results of an idealized terminal alveolar sac model. This model successfully demonstrates that OpenFOAM can be …
Network Analytics For The Mirna Regulome And Mirna-Disease Interactions, Joseph Jayakar Nalluri
Network Analytics For The Mirna Regulome And Mirna-Disease Interactions, Joseph Jayakar Nalluri
Theses and Dissertations
miRNAs are non-coding RNAs of approx. 22 nucleotides in length that inhibit gene expression at the post-transcriptional level. By virtue of this gene regulation mechanism, miRNAs play a critical role in several biological processes and patho-physiological conditions, including cancers. miRNA behavior is a result of a multi-level complex interaction network involving miRNA-mRNA, TF-miRNA-gene, and miRNA-chemical interactions; hence the precise patterns through which a miRNA regulates a certain disease(s) are still elusive. Herein, I have developed an integrative genomics methods/pipeline to (i) build a miRNA regulomics and data analytics repository, (ii) create/model these interactions into networks and use optimization techniques, motif …
A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde
A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde
Biology and Medicine Through Mathematics Conference
No abstract provided.
Patient-Specific Inference Of Average Glucose From Glycated Hemoglobin, Roy Malka, David M. Nathan, John M. Higgins
Patient-Specific Inference Of Average Glucose From Glycated Hemoglobin, Roy Malka, David M. Nathan, John M. Higgins
Biology and Medicine Through Mathematics Conference
No abstract provided.
Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, Ruian Ke
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman
A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg
Biology and Medicine Through Mathematics Conference
No abstract provided.
Symmetries Constrain Dynamics In A Family Of Balanced Neural Networks, Andrea Barreiro, J Nathan Kutz, Eli Shlizerman
Symmetries Constrain Dynamics In A Family Of Balanced Neural Networks, Andrea Barreiro, J Nathan Kutz, Eli Shlizerman
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Multi-Level Model Of Synergistic T Cell Activation, Anna Konstorum, Anthony Vella, Reinhard C. Laubenbacher
A Multi-Level Model Of Synergistic T Cell Activation, Anna Konstorum, Anthony Vella, Reinhard C. Laubenbacher
Biology and Medicine Through Mathematics Conference
No abstract provided.
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Models Of Biofilm For Antimicrobial Persistence, Jia Zhao
Mathematical Models Of Biofilm For Antimicrobial Persistence, Jia Zhao
Biology and Medicine Through Mathematics Conference
No abstract provided.
Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli
Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli
Biology and Medicine Through Mathematics Conference
No abstract provided.
Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor
Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat
Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai
Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady
Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres, Angela Reynolds
A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres, Angela Reynolds
Biology and Medicine Through Mathematics Conference
No abstract provided.
Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright
Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright
Biology and Medicine Through Mathematics Conference
No abstract provided.