#### Submissions from 2021

A Continuous-Time Mathematical Model and Discrete Approximations for the Aggregation of *β*-Amyloid, A. S. Ackleh, Saber Elaydi, G. Livadiotis, and A. Veprauskas

Geometry and Global Stability of 2D Periodic Monotone Maps, Eduardo C. Balreira and Rafael Luís

Regularity and Monotonicity for Solutions to a Continuum Model of Epitaxial Growth with Nonlocal Elastic Effects, Yuan Gao, Xin Yang Lu, and Chong Wang

Solutions of the Variational Equation for an *n*-th Order Boundary Value Problem with an Integral Boundary Condition, Benjamin L. Jeffers and Jeffrey W. Lyons

A Consistent Estimator of Nontrivial Stationary Solutions of Dynamic Neural Fields, Eddy Kwessi

Discrete Dynamics of Dynamic Neural Fields, Eddy Kwessi

Double Penalized Semi-Parametric Signed-Rank Regression with Adaptive LASSO, Eddy Kwessi

On the Equivalence Between Weak BMO and the Space of Derivatives of the Zygmund Class, Eddy Kwessi

Analysis of EEG Data Using Complex Geometric Structurization, Eddy A. Kwessi and L. J. Edwards

A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model, Eddy Kwessi and L. J. Edwards

Artificial Neural Networks with a Signed-Rank Objective Function and Applications, Eddy Kwessi and L. J. Edwards

Biofilm Viscoelasticity and Nutrient Source Location Control Biofilm Growth Rate, Migration Rate, and Morphology in Shear Flow, Hoa Nguyen, Abraham Ybarra, H. Başağaoğlu, and Orrin Shindell

#### Submissions from 2020

The Structure of ω-Limit Sets of Asymptotically Non-Autonomous Discrete Dynamical Systems, E. D'Aniello and Saber Elaydi

The Special Atom Space and Haar Wavelets in Higher Dimensions, Eddy Kwessi, G. de Souza, N. Djitte, and M. Ndiaye

Discrete Evolutionary Population Models: A New Approach, K. Mokni, Saber Elaydi, M. CH-Chaoui, and A. Eladdadi

#### Submissions from 2019

Improving Foresight Predictions in the 2002-2018 NFL Regular-Seasons: A Classic Tale of Quantity vs. Quality, Eduardo C. Balreira and Brian K. Miceli

Effects of Advective-Diffusive Transport of Multiple Chemoattractants on Motility of Engineered Chemosensory Particles in Fluidic Environments, D. King, H. Başağaoğlu, Hoa Nguyen, Frank G. Healy, Melissa Whitman, and Sauro Succi

Effects of Cell Morphology and Attachment to a Surface on the Hydrodynamic Performance of Unicellular Choanoflagellates, Hoa Nguyen, M. A. R. Koehl, Christian Oakes, G. Bustamente, and L. Fauci

#### Submissions from 2018

A Geometric Generalizaion of the Planar Gale-Nikaidô Theorem, Eduardo C. Balreira

A Discrete Mathematical Model for the Aggregation of *β-Amyloid*, Maher A. Dayeh, George Livadiotis, and Saber Elaydi

#### Submissions from 2017

Global Stability of Higher Dimensional Monotone Maps, Eduardo C. Balreira, Saber Elaydi, and Rafael Luís

Model Averaging Based on Rank, Jiang Du, Xiuping Chen, Eddy Kwessi, and Zhimeng Sun

#### Submissions from 2016

Generating Functions and Wilf Equivalence for Generalized Interval Embeddings, Russell Chamberlain, Garner Cochran, Sam Ginsburg, Brian K. Miceli, Manda Riehl, and Chi Zhang

#### Submissions from 2015

A Stochastic Modified Beverton-Holt Model with the Allee Effect, Laila Assas, Brian Dennis, Saber Elaydi, Eddy Kwessi, and George Livadiotis

Connection Coefficients Between Generalized Rising and Falling Factorial Bases, Jeffrey Liese, Brian K. Miceli, and Jeffrey Remmel

#### Submissions from 2014

Global Dynamics of Triangular Maps, Eduardo C. Balreira, Saber Elaydi, and Rafael Luís

Local Stability Implies Global Stability for the Planar Ricker Competition Model, Eduardo C. Balreira, Saber Elaydi, and Rafael Luís

An Oracle Method to Predict NFL Games, Eduardo C. Balreira, Brian K. Miceli, and Thomas Tegtmeyer

A Combinatorial Proof of a Theorem of Katsuura, Brian K. Miceli

Hydrodynamics of Diatom Chains and Semiflexible Fibres, Hoa Nguyen and L. Fauci

#### Submissions from 2013

Mathematical Classification of Tight Junction Protein Images, Katherine H. Ogawa, Caitlin M. Troyer, Robert G. Doss, Farzan Aminian, Eduardo C. Balreira, and Jonathan M. King

Functions Defined by Improper Integrals, William Trench

The Method of Lagrange Multipliers, William Trench

#### Submissions from 2012

General Allee Effect in Two-Species Population Biology, G Livadiotis and Saber Elaydi

#### Submissions from 2011

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics, Saber Elaydi, Rafael Luís, and Henrique Oliveira

Bifurcation and Invariant Manifolds of the Logistic Competition Model, M. Guzowska, Rafael Luís, and Saber Elaydi

Budding Yeast, Branching Processes, and Generalized Fibonacci Numbers, Peter Olofsson and Ryan C. Daileda

A Generalization of the Fujisawa–Kuh Global Inversion Theorem, M. Radulescu, S. Radulescu, and Eduardo C. Balreira

#### Submissions from 2010

Foliations and Global Inversion, Eduardo C. Balreira

Incompressibility and Global Inversion, Eduardo C. Balreira

Maximal Class Numbers of CM Number Fields, Ryan C. Daileda, Raju Krishnamoorthy, and Anton Malyshev

Population Models with Allee Effect: A New Model, Saber Elaydi and Robert J. Sacker

Non-Autonomous Periodic Systems with Allee Effects, Rafael Luís, Saber Elaydi, and Henrique Oliveira

Can Telomere Shortening Explain Sigmoidal Growth Curves?, Peter Olofsson

Modeling Growth and Telomere Dynamics in Saccharomyces Cerevisiae, Peter Olofsson and Alison A. Bertuch

A Stochastic Model of Cell Cycle Desynchronization, Peter Olofsson and Thomas O. McDonald

#### Submissions from 2009

Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System, Ryan Acosta, William Brick, A Hanna, Allen G. Holder, D Lara, G McQuilen, D Nevin, P Uhlig, and B Salter

Diversity Graphs, P Blain, C Davis, Allen G. Holder, J Silva, and C Vinzant

Stability and Asymptoticity of Volterra Difference Equations: A Progress Report, Saber Elaydi

Fast and Robust Techniques for the Euclidean p-Median Problem with Uniform Weights, G J. Lim, J Reese, and Allen G. Holder

An Economical Model with Allee Effect, Rafael Luís, Saber Elaydi, and Henrique Oliveira

Size-Biased Branching Population Measures and the Multi-Type *x* Log *x* Condition, Peter Olofsson

#### Submissions from 2008

The Influence of Dose Grid Resolution on Beam Selection Strategies in Radiotherapy Treatment Design, Ryan Acosta, Matthias Ehrgott, Allen G. Holder, Daniel Nevin, Josh Reese, and Bill Salter

An Introduction to Systems Biology for Mathematical Programmers, Evind Almaas, Allen G. Holder, and Kevin D. Livingstone

Existence and Stability of Periodic Orbits of Periodic Difference Equations with Delays, Ziyad AlSharawi, James Angelos, and Saber Elaydi

On the Stochastic Beverton-Holt Equation with Survival Rates, Paul H. Bezandry, Toka Diagana, and Saber Elaydi

Beam Selection in Radiotherapy Design, M Ehrgott, Allen G. Holder, and Josh Reese

Optimal Treatments for Photodynamic Therapy, Allen G. Holder and D LLagostera

#### Submissions from 2007

Population Models in Almost Periodic Environments, Toka Diagana, Saber Elaydi, and Abdul-Aziz Yakubu

On the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type, Saber Elaydi, E Messina, and A Vecchio

The Relationship Between Discrete Vector Quantization and the P-Median Problem, Allen G. Holder, G Lim, and J Reese

#### Submissions from 2006

An Extension of Sharkovsky’s Theorem to Periodic Difference Equations, Ziyad AlSharawi, James Angelos, Saber Elaydi, and Leela Rakesh

Presentations of Finitely Generated Cancellative Commutative Monoids and Nonnegative Solutions of Systems of Linear Equations, Scott T. Chapman, Pedro A. García Sánchez, David Llena, and José Carlos Rosales

Asymptotic Sign-Solvability, Multiple Objective Linear Programming, and The Nonsubstitution Theorem, L Clayton, R Herring, Allen G. Holder, J Holzer, C Nightingale, and T Stohs

Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures, Saber Elaydi and Robert J. Sacker

Partitioning Multiple Objective Optimal Solutions with Applications in Radiotherapy Design, Allen G. Holder

Solution Methods for the *p*-Median Problem: An Annotated Bibliography, Josh Reese

#### Submissions from 2005

The Convergence of Difference Boxes, Antonio Behn, Christopher Kribs-Zaleta, and Vadim Ponomarenko

The Relationship Between the Number of Shots and the Quality of Gamma Knife Radiosurgeries, D Cheek, Allen G. Holder, M Fuss, and B Salter

Jump Systems and Laminated Manhattan Sets, Jessica Cuomo, Nkiruka Nwasokwa, and Vadim Ponomarenko

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi and Robert J. Sacker

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and Population Biology, Saber Elaydi and Robert J. Sacker

Nonautonomous Beverton-Holt Equations and the Cushing-Henson Conjectures, Saber Elaydi and Robert J. Sacker

The Rényi-Ulam Pathological Liar Game with a Fixed Number of Lies, Robert B. Ellis, Vadim Ponomarenko, and Catherine H. Yan

The Asymptotic Optimal Partition and Extensions of the Nonsubstitution Theorem, Julio R. Hasfura-Buenaga, Allen G. Holder, and Jeffrey Stuart

Relative Equilibria for the Generalized Rigid Body, Antonio Hernandez-Garduno, Jeffrey K. Lawson, and Jerrold E. Marsden

Navy Personnel Planning and the Optimal Partition, Allen G. Holder

A Tutorial on Radiation Oncology and Optimization, Allen G. Holder and Bill Salter

Geometry of Jump Systems, Vadim Lyubashevsky, Chad Newell, and Vadim Ponomarenko

#### Submissions from 2004

Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass, Bernd Aulbach, Saber Elaydi, and Klaus Ziegler

Asymptotic Stability of Linear Difference Equations of Advanced Type, Fozi M. Dannan and Saber Elaydi

Basin of Attraction of Periodic Orbits of Maps on the Real Line, Saber Elaydi and Robert J. Sacker

Skew-Product Dynamical Systems: Applications to Difference Equations, Saber Elaydi and Robert J. Sacker

Radiotherapy Treatment Design and Linear Programming, Allen G. Holder

Simultaneous Data Perturbations and Analytic Center Convergence, Allen G. Holder

Conic Blocking Sets in Desarguesian Projective Planes, Leanne D. Holder

A Frame Bundle Generalization of Multisymplectic Momentum Mappings, J Lawson

Difference Equations Versus Differential Equations, a Possible Equivalence for the Rössler system?, Christophe Letellier, Saber Elaydi, Luis A. Aguirre, and Aziz Alaoui

Faà di Bruno’s Formula and Nonhyperbolic Fixed Points of One-Dimensional Maps, Vadim Ponomarenko

Reduction of Jump Systems, Vadim Ponomarenko

#### Submissions from 2003

Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-Dimensional Maps, Fozi M. Dannan, Saber Elaydi, and Vadim Ponomarenko

Haplotyping and Minimum Diversity Graphs, C Davis and Allen G. Holder

Is the World Evolving Discretely?, Saber Elaydi

Nonautonomous Difference Equations: Open Problems and Conjectures, Saber Elaydi

Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods, Allen G. Holder

Difference Equations from Discretization of a Continuous Epidemic Model with Immigration of Infectives, Sophia Jang and Saber Elaydi

DRILL 3.1, Vadim Ponomarenko

Mimeomatroids, Vadim Ponomarenko

#### Submissions from 2002

Poincaré Types Solutions of Systems of Difference Equations, Raghib Abu-Saris, Saber Elaydi, and Sophia Jang

An Extension of the Fundamental Theorem of Linear Programming, A Brown, A Gedlaman, Allen G. Holder, and S Martinez