Mathematics Faculty Articles



Submissions from 2021

Attraction–repulsion taxis mechanisms in a predator–prey model, Jonathan Bell and Evan Haskell


Beryllium-specific CD4+ T cells induced by chemokine neoantigens perpetuate inflammation, Michael T. Falta, Jeremy C. Crawford, Alex N. Tinega, Laurie G. Landry, Frances Crawford, Douglas G. Mack, Allison K. Martin, Shaikh M. Atif, Li Li, Radleigh Santos, Maki Nakayama, John W. Kappler, Lisa A. Maier, Paul G. Thomas, Clemencia Pinilla, and Andrew Fontenot


Cancellable Elements of the Lattice of Monoid Varieties, Sergey V. Gusev and Edmond W. H. Lee

Join irreducible 2-testable semigroups, Edmond W. H. Lee

Non-Specht variety generated by an involution semigroup of order five, Edmond W. H. Lee

Some matrix inequalities of log-majorization type, Bo-Yan Xi and Fuzhen Zhang

Submissions from 2020


Pattern-Avoiding (0,1)-Matrices, Richard Brualdi and Lei Cao

Symmetric and Hankel-Symmetric Transportation Polytopes, Lei Cao, Zhi Chen, Qiang Li, and Huilan Li


A Short Note on Extreme Points of Certain Polytopes, Lei Cao, Ariana Hall, and Selcuk Koyuncu


Tridiagonal and Pentadiagonal Doubly Stochastic Matrices, Lei Cao, Darian McLaren, and Sarah Plosker


A Classification of Hull Operators in Archimedean Lattice-Ordered Groups With Unit, Ricardo Enrique Carrera and Anthony W. Hager


Phase-Adjusted Estimation of the COVID-19 Outbreak in South Korea Under Multi-Source Data and Adjustment Measures: A Modelling Study, Xiaomei Feng, Jing Chen, Kai Wang, Lei Wang, Fengqin Zhang, Zhen Jin, Lan Zou, and Xia Wang

Varieties of Monoids with Complex Lattices of Subvarieties, Sergey V. Gusev and Edmond W. H. Lee


A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra, Vehbi Emrah Paksoy

Disparities in Adult and Pediatric Trauma Outcomes: a Systematic Review and Meta-Analysis, Carol Sanchez, Saamia Shaikh, Brianna Dowd, Radleigh Santos, Mark McKenney, and Adel Elkbuli

Harnack Type Inequalities for Matrices in Majorization, Chaojun Yang and Fuzhen Zhang

Enumerating Extreme Points of the Polytopes of Stochastic Tensors: An Optimization Approach, Fuzhen Zhang and Xiao-Dong Zhang

Identification of small molecules by screening a mixture-based scaffold compound library for treatment of alpha-1 antitrypsin deficiency, Xiaojuan Zhang, Radleigh Santos, Ginamarie Debevec, Danmeng Li, Ryan Schutte, Kien Pham, Chen Liu, David A. Ostrov, and Marc Giulianotti

Submissions from 2019


On the Linear Independence of Finite Wavelet Systems Generated by Schwartz Functions or Functions with Certain Behavior at Infinity, Abdelkrim Bourouihiya


The Duals of *-Operator Frames for End*A(H), Abdelkrim Bourouihiya, M. Rossafi, H. Labrigui, and A. Touri

A Minimal Completion of (0, 1)-Matrices Without Total Support, Lei Cao

Partitions of the Polytope of Doubly Substochastic Matrices, Lei Cao and Zhi Chen


Diagonal Sums of Doubly Substochastic Matrices, Lei Cao, Zhi Chen, Xuefeng Duan, Selcuk Koyuncu, and Huilan Li


A Note on Multilevel Toeplitz Matrices, Lei Cao and Selcuk Koyuncu


Centrosymmetric Stochastic Matrices, Lei Cao, Darian McLaren, and Sarah Plosker

The Extreme Points of Certain Polytopes of Doubly Substochastic Matrices, Zhi Chen, Lei Cao, and Qing-Wen Wang


Inequalities for Permanents and Permanental Minors of Row Substochastic Matrices, Zhi Chen, Jiawei Li, Lizhen Yang, Zelin Zhu, and Lei Cao

Discovery of Polypharmacological Melanocortin-3 and -4 Receptor Probes and Identification of a 100-Fold Selective nM MC3R Agonist Versus a μM MC4R Partial Agonist, Katlyn A. Fleming, Katie T. Freeman, Mike D. Powers, Radleigh Santos, Ginamarie Debevac, Marc Giulianotti, Richard A. Houghten, Skye R. Doering, Clemencia Pinilla, and Carrie Haskell-Luevano


Neuroevolutional Methods for Decision Support Under Uncertainty, Nina Komleva, Olga Khlopkova, and Matthew He

Locally Finite Monoids in Finitely Based Varieties, Edmond W. H. Lee


Non-finitely based finite involution semigroups with finitely based semigroup reducts, Edmond W. H. Lee

Varieties of Involution Monoids with Extreme Properties, Edmond W. H. Lee

Join irreducible semigroups, Edmond W. H. Lee, John Rhodes, and Benjamin Steinberg


Eigenvalue continuity and Gersgorin's theorem, Chi-Kwong Li and Fuzhen Zhang

The Minimum Completions and Covers of Symmetric, Hankel Symmetric, and Centrosymmetric Doubly Substochastic Matrices, Jinze Song, Huili Liu, Hao Rong, Zhentao Xie, Xu Yan, Huilan Li, Zhi Chen, and Lei Cao

A Randomized Double-Blind Placebo-Controlled Phase II Trial of Dendritic Cell Vaccine ICT-107 in Newly Diagnosed Patients with Glioblastoma, Patrick Y. Wen, David A. Reardon, Terri S. Armstrong, Surasak Phupanich, Robert D. Aiken, Joseph C. Landolfi, William T. Curry, Jay-Jiguang Zhu, Michael Glantz, David M. Peereboom, James M. Markert, Renato LaRocca, Donald M. O'Rourke, Karen Fink, Lyndon Kim, Michael Gruber, Glenn J. Lesser, Edward Pan, Santosh Kesari, Alona Muzikansky, Clemencia Pinilla, Radleigh Santos, and John S. Yu

Inequalities for Selected Eigenvalues of the Product of Matrices, Bo-Yan Xi and Fuzhen Zhang

Submissions from 2018

Scaffold Ranking and Positional Scanning Identify Novel Neurite Outgrowth Promoters with Nanomolar Potency, Hassan Al-Ali, Ginamarie Debevec, Radleigh Santos, Richard A. Houghten, Jennifer C. Davis, Adel Nefzi, Vance P. Lemmon, John L. Bixby, and Marc A. Giulianotti

Permanents of Doubly Substochastic Matrices, Lei Cao, Zhi Chen, Selcuk Koyuncu, and Huilan Li

Real Zero Polynomials and A. Horn's Problem, Lei Cao and Hugo J. Woerdeman

Modeling the Importation and Local Transmission of Vector-Borne Diseases in Florida: The Case of Zika Outbreak in 2016, Jing Chen, John C. Beier, Robert Stephen Cantrell, Chris Cosner, Douglas O. Fuller, Yongtao Guan, Guoyan Zhang, and Shigui Ruan

On the Maximum of the Permanent of (I − A), Zhi Chen and Lei Cao


Rigid Linkages and Partial Zero Forcing, Daniella Ferrero, Mary Flagg, H. Tracy Hall, Leslie Hogben, Jephian C.-H. Lin, Seth A. Meyer, Shahla Nasserasr, and Bryan Shader


Identification of a Novel Polyamine Scaffold With Potent Efflux Pump Inhibition Activity Toward Multi-Drug Resistant Bacterial Pathogens, Renee Fleeman, Ginamarie Debevec, Kirsten Antonen, Jessie L. Adams, Radleigh Santos, Greg Welmaker, Richard A. Houghten, Marc Giulianotti, and Lindsey N. Shaw

Arithmagons and Geometrically Invariant Multiplicative Integer Partitions, J. A. Franco, J. Champion, and J. W. Lyons

Monoid Varieties with Extreme Properties, Marcel Jackson and Edmond W. H. Lee

Memory B Cells Activate Brain-Homing, Autoreactive CD4+ T Cells in Multiple Sclerosis, Ivan Jelcic, Faiez Al Nimer, Jian Wang, Verena Lentsch, Raquel Planas, Ilijas Jelcic, Aleksandar Madjovski, Sabrina Ruhrmann, Wolfgang Faigle, Katrin Frauenknecht, Clemencia Pinilla, Radleigh Santos, Christian Hammer, Yanneth Ortiz, Lennart Opitz, Hans Gronlund, Gerhard Rogler, Onur Boyman, Richard Reynolds, Andreas Lutterotti, Mohsen Khademi, Tomas Olsson, Frederik Piehl, Mireia Sospedra, and Roland Martin

A Sufficient Condition for the Absence of Irredundant Bases, Edmond W. H. Lee

Varieties generated by unstable involution semigroups with continuum many subvarieties, Edmond W. H. Lee

Variety Membership Problem for Two Classes of Non-Finitely Based Semigroups, Edmond W. H. Lee

Modeling and Analysis of a Nonlinear Age-Structured Model for Tumor Cell Populations with Quiescence, Zijian Liu, Jing Chen, Jianhua Pang, Ping Bi, and Shigui Ruan

Local and Global Stabilities of a Viral Dynamics Model with Infection-Age and Immune Response, Jianhua Pang, Jing Chen, Zijian Liu, Ping Bi, and Shigui Ruan

GDP-L-Fucose Synthase is a CD4+ T Cell–Specific Autoantigen in DRB3*02:02 Patients with Multiple Sclerosis, Raquel Planas, Radleigh Santos, Paula Tomas-Ojer, Carolina Cruciani, Andreas Lutterotti, Wolfgang Faigle, Nicole Schaeren-Wiemers, Carmen Espejo, Herena Eixarch, Clemencia Pinilla, Roland Martin, and Mireia Sospedra

Identification of a Small Molecule Inhibitor of the Aminoglycoside 6'- N -acetyltransferase Type Ib [AAC(6')-Ib] Using Mixture-Based Combinatorial Libraries, Tung Tran, Kevin Chiem, Saumya Jani, Brock A. Arivett, David L. Lin, Rupali Lad, Veronica Jimenez, Mary B. Farone, Ginamarie Debevac, Radleigh Santos, Marc Giulianotti, Clemencia Pinilla, and Marcelo E. Tolmasky

The Permanent Functions of Tensors, Qing-Wen Wang and Fuzhen Zhang

Analysis of a Dengue Model with Vertical Transmission and Application to the 2014 Dengue Outbreak in Guangdong Province, China, Lan Zou, Jing Chen, Xiaomei Feng, and Shigui Ruan

Submissions from 2017


Methodological approach to the ex vivo expansion and detection of T. cruzi-specific T cells from chronic Chagas disease patients, Gonzalo R. Acevedo, Silvia A. Longhi, Alcinette Bunying, Nazila Sabri, Augusto Atienza, Maria P. Zago, Radleigh Santos, Valeria A. Judkowski, Clemencia Pinilla, and Karina A. Gomez

The Logistic Growth Model as an Approximating Model for Viral Load Measurements of Influenza A Virus, Abbiana Arenas, Neil B. Thackar, and Evan Haskell

Sub-Defect of Product of Doubly Substochastic Matrices, Lei Cao and Selcuk Koyuncu


Calcium Transient Assays for Compound Screening with Human iPSC-derived Cardiomyocytes: Evaluating New Tools, Neil J. Daily, Radleigh Santos, Joseph Vecchi, Pinar Kemanli, and Tetsuro Wakatsuki

Discovery of Mixed Pharmacology Melanocortin-3 Agonists and Melanocortin-4 Receptor Tetrapeptide Antagonist Compounds (TACOs) Based on the Sequence Ac-Xaa1-Arg-(pI)DPhe-Xaa4-NH2, Skye R. Doering, Katie T. Freeman, Sathya M. Schnell, Erica M. Haslach, Marvin Dirain, Ginamarie Debevec, Phaedra Geer, Radleigh Santos, Marc A. Giulianotti, Clemencia Pinilla, Jon R. Appel, Robert Charles Speth, Richard A. Houghten, and Carrie Haskell-Luevano


Spectral Properties of a Sequence of Matrices Connected to Each Other via Schur Complement and Arising in a Compartmental Model, Evan Haskell and Vehbi Emrah Paksoy

Equational Theories of Unstable Involution Semigroups, Edmond W. H. Lee

On a Class of Completely Join Prime J-Trivial Semigroups with Unique Involution, Edmond W. H. Lee

An Extension of Harnack Type Determinantal Inequality, Minghua Lin and Fuzhen Zhang

On the Number of Vertices of the Stochastic Tensor Polytope, Zhongshan Li, Fuzhen Zhang, and Xiao-Dong Zhang

Partitions of Equiangular Tight Frames, James Rosado, Hieu D. Nguyen, and Lei Cao

Avian Influenza A H7N9 Has Been Established in China, Xinan Zhang, Lan Zou, Jing Chen, Yile Fang, Jicai Huang, Jinhui Zhang, Sanhong Liu, Guangting Feng, Cuihong Yang, and Shigui Ruan

Modeling and Analyzing the Transmission Dynamics of Visceral Leishmaniasis, Lan Zou, Jing Chen, and Shigui Ruan

Submissions from 2016


Decomposition of Finite Schmidt Rank Bounded Operators on the Tensor Product of Separable Hilbert Spaces, Abdelkrim Bourouihiya


Symmetric Integer Matrices Having Integer Eigenvalues, Lei Cao and Selcuk Koyuncu

A Minimal Completion of Doubly Substochastic Matrix, Lei Cao, Selcuk Koyuncu, and Timmothy Parmer


Pointfree Functorial Polar Functions, Ricardo Enrique Carrera


Bounded Equivalence of Hull Classes in Archimedean Lattice-Ordered Groups with Unit, Ricardo Enrique Carrera and Anthony W. Hager

An Inequality for Tensor Product of Positive Operators and Its Applications, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang

Polytopes of Stochastic Tensors, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang

Modeling and control of local outbreaks of West Nile virus in the United States, Jing Chen, Jicai Huang, John C. Beier, Robert Stephen Cantrell, Chris Cosner, Douglas O. Fuller, Guoyan Zhang, and Shigui Ruan


Identification of Protein Palmitoylation Inhibitors from a Scaffold Ranking Library, Laura D. Hamel, Brian J. Lenhart, David A. Mitchell, Radleigh Santos, Marc A. Giulianotti, and Robert J. Deschenes


Finite Involution Semigroups with Infinite Irredundant Bases of Identities, Edmond W. H. Lee

Finitely Based Finite Involution Semigroups with Non-finitely Based Reducts, Edmond W. H. Lee


Discovery of an enzyme and substrate selective inhibitor of ADAM10 using an exosite-binding glycosylated substrate, Franck Madoux, Daniela Dreymuller, Jean-Phillipe Pettiloud, Radleigh Santos, Christoph Becker-Pauly, Andreas Ludwig, Gregg B. Fields, Thomas Bannister, Timothy P. Spicer, Mare Cudic, Louis D. Scampavia, and Dmitriy Minond


An Update on a Few Permanent Conjectures, Fuzhen Zhang

Submissions from 2015

Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity, Johnny J. Benedetto and Abdelkrim Bourouihiya


Circumvention of Learning Increases Intoxication Efficacy of Nematicidal Engineered Bacteria, Olena R. Bracho, Cyril Mancherry, Evan Haskell, Christopher Blanar, and Robert P. Smith

On the Construction of Jacobi Matrices from Mixed data, Lei Cao and Yilin Yang


B-saturated hull classes in l-groups and covering classes of spaces, Ricardo Enrique Carrera and Anthony W. Hager

αcc-Baer Rings, Ricardo Enrique Carrera, Wolf Iberkleid, Ramiro Lafuente-Rodriguez, and Warren William McGovern

Interpretation of Generalized Matrix Functions via Geometric Measure of Quantum Entanglement, Haixia Chang, Vehbi Emrah Paksoy, and Fuzhen Zhang


Modeling the Geographic Spread of Rabies in China, Jing Chen, Lan Zou, and Shigui Ruan

Combinatorial Libraries As a Tool for the Discovery of Novel, Broad-Spectrum Antibacterial Agents Targeting the ESKAPE Pathogens, Renee Fleeman, Travis LaVoi, Radleigh Santos, Angela Morales, Adel Nefzi, Greg Welmaker, Jose L. Medina-Franco, Marc Giulianotti, Richard A. Houghten, and Lindsey N. Shaw


Direct Phenotypic Screening in Mice: Identification of Individual, Novel Antinociceptive Compounds from a Library of 734 821 Pyrrolidine Bis-piperazines, Richard A. Houghten, Michelle L. Ganno, Jay P. McLaughlin, Colette T. Dooley, Shainnel O. Eans Torrey Pines Institute for Molecular Studies, Radleigh Santos, Travis LaVoi, Adel Nefzi, Greg Welmaker, Marc A. Giulianotti, and Lawrence Toll

Synthesis and biological evaluations of novel endomorphin analogues containing α-hydroxy-β-phenylalanine (AHPBA) displaying mixed μ/δ opioid receptor agonist and δ opioid receptor antagonist activities, Miao Hu, Marc Giulianotti, Jay P. McLaughlin, Jiaan Shao, Ginamarie Debevec, Laura E. Maida, Phaedra Geer, Margaret Cazares, Jaime Misler, Ling Li, Colette T. Dooley, Michelle L. Ganno, Shainnel O. Eans Torrey Pines Institute for Molecular Studies, Elisa Mizrachi, Radleigh Santos, Austin B. Yongye, Richard A. Houghten, and Yongping Yu


Antigen Discovery for the Identification of Vaccine Candidates and Biomarkers Using a T Cell Driven Approach in Combination with Positional Scanning Peptide Libraries, Valeria A. Judkowski, Radleigh Santos, Gonzalo R. Acevedo, Marc Giulianotti, Jon R. Appel, Silvia A. Longhi, Karina A. Gomez, and Clemencia Pinilla


A Class of Finite Semigroups Without Irredundant Bases of Identities, Edmond W. H. Lee

Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee


The Variety Generated by All Monoids of Order Four Is Finitely Based, Edmond W. H. Lee and Jian Rong Li

Finite Basis Problem for Semigroups of Order Six, Edmond W. H. Lee and Wen Ting Zhang


The Derivative of a Solution to a Second Order Parameter Dependent Boundary Value Problem with a Nonlocal Integral Boundary Condition, Jeffrey W. Lyons and Joseph K. Miller

A Difference Equation with Anti-Periodic Boundary Conditions, Jeffrey W. Lyons and Jeffrey T. Neugebauer


Existence of an Antisymmetric Solution of a Boundary Value Problem with Antiperiodic Boundary Conditions, Jeffrey W. Lyons and Jeffrey T. Neugebauer