Oscillation In Mathematical Epidemiology, 2019 Bates College

#### Oscillation In Mathematical Epidemiology, Meredith Greer

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, 2019 George Mason University

#### Multidisciplinary Education And Research In Biomathematics For Solving Global Challenges, Padmanabhan Seshaiyer

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Runge–Kutta–Gegenbauer Explicit Methods For Advection-Diffusion Problems, 2019 Technological University Dublin

#### Runge–Kutta–Gegenbauer Explicit Methods For Advection-Diffusion Problems, Stephen O'Sullivan

*Articles*

In this paper, Runge-Kutta-Gegenbauer (RKG) stability polynomials of arbitrarily high order of accuracy are introduced in closed form. The stability domain of RKG polynomials extends in the the real direction with the square of polynomial degree, and in the imaginary direction as an increasing function of Gegenbauer parameter. Consequently, the polynomials are naturally suited to the construction of high order stabilized Runge-Kutta (SRK) explicit methods for systems of PDEs of mixed hyperbolic-parabolic type.

We present SRK methods composed of L ordered forward Euler stages, with complex-valued stepsizes derived from the roots of RKG stability polynomials of degree $L$. Internal stability ...

Minimum Rank, Maximum Nullity, And Zero Forcing Number Of Graphs, 2019 University of Regina

#### Minimum Rank, Maximum Nullity, And Zero Forcing Number Of Graphs, Shaun M. Fallat, Leslie Hogben

*Leslie Hogben*

This chapter represents an overview of research related to a notion of the “*rank of a graph*" and the dual concept known as the “*nullity of a graph*," from the point of view of associating a fixed collection of symmetric or Hermitian matrices to a given graph. This topic and related questions have enjoyed a fairly large history within discrete mathematics, and have become very popular among linear algebraists recently, partly based on its connection to certain inverse eigenvalue problems, but also because of the many interesting applications (e.g., to communication complexity in computer science and to control of ...

Quantifying Iron Overload Using Mri, Active Contours, And Convolutional Neural Networks, 2019 Duquesne University

#### Quantifying Iron Overload Using Mri, Active Contours, And Convolutional Neural Networks, Andrea Sajewski, Stacey Levine

*Undergraduate Research and Scholarship Symposium*

Iron overload, a complication of repeated blood transfusions, can cause tissue damage and organ failure. The body has no regulatory mechanism to excrete excess iron, so iron overload must be closely monitored to guide therapy and measure treatment response. The concentration of iron in the liver is a reliable marker for total body iron content and is now measured noninvasively with magnetic resonance imaging (MRI). MRI produces a diagnostic image by measuring the signals emitted from the body in the presence of a constant magnetic field and radiofrequency pulses. At each pixel, the signal decay constant, T2*, can be calculated ...

Forward Selection Via Distance Correlation, 2019 Rose-Hulman Institute of Technology

#### Forward Selection Via Distance Correlation, Ty Adams

*Mathematical Sciences Technical Reports (MSTR)*

No abstract provided.

The Determinant Of A Complex Matrix And Gershgorin Circles, 2019 Hamburg University of Technology

#### The Determinant Of A Complex Matrix And Gershgorin Circles, Florian Bünger, Siegfried M. Rump

*Electronic Journal of Linear Algebra*

Each connected component of the Gershgorin circles of a matrix contains exactly as many eigenvalues as circles are involved. Thus, the Minkowski (set) product of all circles contains the determinant if all circles are disjoint. In [S.M. Rump. Bounds for the determinant by Gershgorin circles. Linear Algebra and its Applications, 563:215--219, 2019.], it was proved that statement to be true for real matrices whose circles need not to be disjoint. Moreover, it was asked whether the statement remains true for complex matrices. This note answers that in the affirmative. As a by-product, a parameterization of the outer loop ...

Pairwise Completely Positive Matrices And Conjugate Local Diagonal Unitary Invariant Quantum States, 2019 Mount Allison University

#### Pairwise Completely Positive Matrices And Conjugate Local Diagonal Unitary Invariant Quantum States, Nathaniel Johnston, Olivia Maclean

*Electronic Journal of Linear Algebra*

A generalization of the set of completely positive matrices called pairwise completely positive (PCP) matrices is introduced. These are pairs of matrices that share a joint decomposition so that one of them is necessarily positive semidefinite while the other one is necessarily entrywise non-negative. Basic properties of these matrix pairs are explored and several testable necessary and sufficient conditions are developed to help determine whether or not a pair is PCP. A connection with quantum entanglement is established by showing that determining whether or not a pair of matrices is pairwise completely positive is equivalent to determining whether or not ...

Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, 2019 Virginia Commonwealth University

#### Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Seasonal Variation Of Nutrient Loading In A Stoichiometric Producer-Consumer System, 2019 Texas Tech University

#### Seasonal Variation Of Nutrient Loading In A Stoichiometric Producer-Consumer System, Lale Asik, Jackson Kulik, Kevin R. Long, Angela Peace

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Effects Of Predator Diversity On Optimal Communities For Prey Suppression, 2019 University of Nebraska - Lincoln

#### Effects Of Predator Diversity On Optimal Communities For Prey Suppression, Amanda N. Laubmeier

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Investigating Drivers Of Dengue Emergence In Cordoba, Argentina, 2019 University of the Sciences of Philadelphia

#### Investigating Drivers Of Dengue Emergence In Cordoba, Argentina, Michael Andrew Robert, Rachel Sippy, Anna M. Stewart-Ibarra, Rebecca C. Christofferson, Helen J. Wearing, Elizabet L. Estallo

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Analyzing The Structural Properties Of Pulmonary Arterial Networks, 2019 North Carolina State University at Raleigh

#### Analyzing The Structural Properties Of Pulmonary Arterial Networks, Megan J. Chambers

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Understanding The Role Of Macrophages In Lung Inflammation Through Mathematical Modeling, 2019 Virginia Commonwealth University

#### Understanding The Role Of Macrophages In Lung Inflammation Through Mathematical Modeling, Sarah B. Minucci

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Parameter Identification For A Stochastic Seirs Epidemic Model: Case Study Influenza, 2019 Marshall University

#### Parameter Identification For A Stochastic Seirs Epidemic Model: Case Study Influenza, Olusegun M. Otunuga, Anna Mummert

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Stochastic Modeling Of Neuronal Transport In Various Cellular Geometries, 2019 Rensselaer Polytechnic Institute

#### Stochastic Modeling Of Neuronal Transport In Various Cellular Geometries, Abhishek Choudhary Mr., Peter Kramer

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Quantifying The Contribution Of Environmental Pathways To The Transmission Of Clostridium Difficile, 2019 University of Tennessee, Knoxville

#### Quantifying The Contribution Of Environmental Pathways To The Transmission Of Clostridium Difficile, Lindsey R. Fox, Cara Sulyok, Judy Day, Cristina Lanzas, Suzanne Lenhart

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Pbpk Model Of Low-Concentration Vitamin D Supplementation In The Absence Of Sunlight, 2019 Southern New Hampshire University

#### A Pbpk Model Of Low-Concentration Vitamin D Supplementation In The Absence Of Sunlight, Megan Sawyer

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, 2019 Iowa State University

#### Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Disease Vectors, 2019 Virginia Commonwealth University

#### Optimal Spraying Strategies For Controlling Re-Infestation By Chagas Disease Vectors, Bismark Oduro, Winfried Just, Mario Grijalva

*Biology and Medicine Through Mathematics Conference*

No abstract provided.