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Articles 31 - 45 of 45
Full-Text Articles in Dynamic Systems
Β Cell Network Dysfunction In Pancreatic Islets By Silencing Hub Cells, Janita Patwardhan, Bradford E. Peercy
Β Cell Network Dysfunction In Pancreatic Islets By Silencing Hub Cells, Janita Patwardhan, Bradford E. Peercy
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Quadratic Networks, Simone Evans
Dynamics Of Quadratic Networks, Simone Evans
Biology and Medicine Through Mathematics Conference
No abstract provided.
Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, Laura Storch, Sarah Day
Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, Laura Storch, Sarah Day
Biology and Medicine Through Mathematics Conference
No abstract provided.
Axonal Transport With Attachment And Detachment To Parallel Microtubule Network, Abhishek Choudhary Mr.
Axonal Transport With Attachment And Detachment To Parallel Microtubule Network, Abhishek Choudhary Mr.
Biology and Medicine Through Mathematics Conference
No abstract provided.
Delay Differential Equations And Their Application To Micro Electro Mechanical Systems, Asset Ospanov
Delay Differential Equations And Their Application To Micro Electro Mechanical Systems, Asset Ospanov
Theses and Dissertations
Delay differential equations have a wide range of applications in engineering. This work is devoted to the analysis of delay Duffing equation, which plays a crucial role in modeling performance on demand Micro Electro Mechanical Systems (MEMS). We start with the stability analysis of a linear delay model. We also show that in certain cases the delay model can be efficiently approximated with a much simpler model without delay. We proceed with the analysis of a non-linear Duffing equation. This model is a significantly more complex mathematical model. For instance, the existence of a periodic solution for this equation is …
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Biology and Medicine Through Mathematics Conference
No abstract provided.
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 …
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.
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.
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.
Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter
Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter
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
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.
Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., Flavio H. Fenton, Yanyan Ji, Ilija Uzelac, Niels Otani, Elizabeth M. Cherry
Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., Flavio H. Fenton, Yanyan Ji, Ilija Uzelac, Niels Otani, Elizabeth M. Cherry
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Study Of The Effect Of Harvesting On A Discrete System With Two Competing Species, Rebecca G. Clark
A Study Of The Effect Of Harvesting On A Discrete System With Two Competing Species, Rebecca G. Clark
Theses and Dissertations
This is a study of the effect of harvesting on a system with two competing species. The system is a Ricker-type model that extends the work done by Luis, Elaydi, and Oliveira to include the effect of harvesting on the system. We look at the uniform bound of the system as well as the isoclines and perform a stability analysis of the equilibrium points. We also look at the effects of harvesting on the stability of the system by looking at the bifurcation of the system with respect to harvesting.
Applications Of Stability Analysis To Nonlinear Discrete Dynamical Systems Modeling Interactions, Jonathan L. Hughes
Applications Of Stability Analysis To Nonlinear Discrete Dynamical Systems Modeling Interactions, Jonathan L. Hughes
Theses and Dissertations
Many of the phenomena studied in the natural and social sciences are governed by processes which are discrete and nonlinear in nature, while the most highly developed and commonly used mathematical models are linear and continuous. There are significant differences between the discrete and the continuous, the nonlinear and the linear cases, and the development of mathematical models which exhibit the discrete, nonlinear properties occurring in nature and society is critical to future scientific progress. This thesis presents the basic theory of discrete dynamical systems and stability analysis and explores several applications of this theory to nonlinear systems which model …