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Articles 91 - 109 of 109

Full-Text Articles in Ordinary Differential Equations and Applied Dynamics

A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, Kelly A. Reagan May 2016

A Mathematical Model Of The Spread Of Dengue Fever Incorporating Mobility, Kelly A. Reagan

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling The Effects Of The Immune System On The Fracture Healing Process, Imelda Trejo Lorenzo May 2016

Modeling The Effects Of The Immune System On The Fracture Healing Process, Imelda Trejo Lorenzo

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, Hildur Knutsdottir May 2016

Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, Hildur Knutsdottir

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Models Of Hiv And Hpv Coinfection, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe May 2016

Mathematical Models Of Hiv And Hpv Coinfection, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe

Biology and Medicine Through Mathematics Conference

No abstract provided.


Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi May 2016

Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi

Biology and Medicine Through Mathematics Conference

No abstract provided.


Global Dynamics Of A Model Of Joint Hormone Treatment With Dendritic Cell Vaccine For Prostate Cancer, Erica M. Rutter, Yang Kuang May 2016

Global Dynamics Of A Model Of Joint Hormone Treatment With Dendritic Cell Vaccine For Prostate Cancer, Erica M. Rutter, Yang Kuang

Biology and Medicine Through Mathematics Conference

No abstract provided.


Bistable Dynamics Between Primed And Tolerant States Following Challenge With Exdotoxin, Mirjam Sarah Kadelka, Brittany Boribong, Liwu Li, Stanca Ciupe May 2016

Bistable Dynamics Between Primed And Tolerant States Following Challenge With Exdotoxin, Mirjam Sarah Kadelka, Brittany Boribong, Liwu Li, Stanca Ciupe

Biology and Medicine Through Mathematics Conference

No abstract provided.


Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw May 2016

Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Model Of Dendric Cell Therapy, Elizabeth Zollinger, Emek Kose May 2016

A Model Of Dendric Cell Therapy, Elizabeth Zollinger, Emek Kose

Biology and Medicine Through Mathematics Conference

No abstract provided.


Investigations Of The Effects Of Different Ventilation Structures On Physiologically Based Pharmacokinetic Modeling (Pbpk) Simulations, Karen A. Yokley May 2016

Investigations Of The Effects Of Different Ventilation Structures On Physiologically Based Pharmacokinetic Modeling (Pbpk) Simulations, Karen A. Yokley

Biology and Medicine Through Mathematics Conference

No abstract provided.


Explicitly Separating Growth And Motility In A Glioblastoma Tumor Model, Tracy Stepien, Erica Rutter, Meng Fan, Yang Kuang May 2016

Explicitly Separating Growth And Motility In A Glioblastoma Tumor Model, Tracy Stepien, Erica Rutter, Meng Fan, Yang Kuang

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Analysis And Simulations Involving Chemotherapy And Surgery On Large Human Tumours Under A Suitable Cell-Kill Functional Response, Diego S. Rodrigues May 2016

Mathematical Analysis And Simulations Involving Chemotherapy And Surgery On Large Human Tumours Under A Suitable Cell-Kill Functional Response, Diego S. Rodrigues

Biology and Medicine Through Mathematics Conference

No abstract provided.


General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala May 2016

General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala

Biology and Medicine Through Mathematics Conference

No abstract provided.


Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor May 2016

Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor

Biology and Medicine Through Mathematics Conference

No abstract provided.


Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu May 2016

Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu

Biology and Medicine Through Mathematics Conference

No abstract provided.


Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev May 2016

Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev

Biology and Medicine Through Mathematics Conference

No abstract provided.


Maximally Informative Next Experiments For Nonlinear Models, Reginald Mcgee May 2016

Maximally Informative Next Experiments For Nonlinear Models, Reginald Mcgee

Biology and Medicine Through Mathematics Conference

No abstract provided.


An Applied Mathematics Approach To Modeling Inflammation: Hematopoietic Bone Marrow Stem Cells, Systemic Estrogen And Wound Healing And Gas Exchange In The Lungs And Body, Racheal L. Cooper Jan 2015

An Applied Mathematics Approach To Modeling Inflammation: Hematopoietic Bone Marrow Stem Cells, Systemic Estrogen And Wound Healing And Gas Exchange In The Lungs And Body, Racheal L. Cooper

Theses and Dissertations

Mathematical models apply to a multitude physiological processes and are used to make predictions and analyze outcomes of these processes. Specifically, in the medical field, a mathematical model uses a set of initial conditions that represents a physiological state as input and a set of parameter values are used to describe the interaction between variables being modeled. These models are used to analyze possible outcomes, and assist physicians in choosing the most appropriate treatment options for a particular situation. We aim to use mathematical modeling to analyze the dynamics of processes involved in the inflammatory process.

First, we create a …


A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres Jan 2015

A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres

Theses and Dissertations

An energy balance model of human metabolism developed by Hall et al. is extended to compare body composition outcomes among standard and proposed obesity interventions. Standard interventions include a drastic diet or a drastic diet with endurance training. Outcomes for these interventions are typically poor in clinical studies. Proposed interventions include a gradual diet and the addition of resistance training to preserve lean mass and metabolic rate. We see that resistance training, regardless of dietary strategy, achieves these goals. Finally, we observe that the optimal obesity intervention for continued maintenance of a healthy body composition following a diet includes a …