Mathematics Faculty Articles

 

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Submissions from 2018

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

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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

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

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

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

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

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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

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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

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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

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

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

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Pointfree Functorial Polar Functions, Ricardo Enrique Carrera

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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

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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

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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

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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

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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

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

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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

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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

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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

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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

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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

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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

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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

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

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Investigating the Role of the Host Multidrug Resistance Associated Protein Transporter Family in Burkholderia cepacia Complex Pathogenicity Using a Caenorhabditis elegans Infection Model, Pietro Tedesco, Marco Visone, Ermenegilda Parrilli, Maria Luisa Tutino, Elena Perrin, Isabel Maida, Renato Fani, Francesco Ballestriero, Radleigh Santos, Clemencia Pinilla, Elia Di Schiavi, George Tegos, and Donatella de Pascale

Submissions from 2014

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TP_k Completion of Patterns with One Unspecified Entry, V. Akin, C. R. Johnson, and Shahla Nasserasr

Evaluation of Florida Physicians’ Knowledge and Attitudes Toward Accessing the State Prescription Drug Monitoring Program as a Prescribing Tool, Jennifer A. Gershman, Jason Gershman, Andrea D. Fass, and Ioana Popovici

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Identification of Tetrapeptides from a Mixture Based Positional Scanning Library That Can Restore nM Full Agonist Function of the L106P, I69T, I102S, A219V, C271Y, and C271R Human Melanocortin-4 Polymorphic Receptors (hMC4Rs), Erica M. Haslach, Huisuo Huang, Marvin Dirain, Ginamarie Debevec, Phaedra Geer, Radleigh Santos, Marc Giulianotti, Clemencia Pinilla, Jon R. Appel, Skye R. Doering, Michael A. Walters, Richard A. Houghten, and Carrie Haskell-Luevano

The Connection between Variational Equations and Solutions of Second Order Nonlocal Integral Boundary Value Problems, Alfredo F. Janson, Bibi T. Juman, and Jeffrey W. Lyons

On a Question of Pollák and Volkov Regarding Hereditarily Finitely Based Identities, Edmond W. H. Lee

On Certain Cross Varieties of Aperiodic Monoids with Commuting Idempotents, Edmond W. H. Lee

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The Smallest Monoid that Generates a Non-Cross Variety, Edmond W. H. Lee and Wen Ting Zhang

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Cytokine Production but Lack of Proliferation in Peripheral Blood Mononuclear Cells from Chronic Chagas' Disease Cardiomyopathy Patients in Response to T. cruzi Ribosomal P Proteins, Silvia A. Longhi, Augusto Atienza, Graciela Perez Prados, Alcinette Buying, Virginia Balouz, Carlos A. Buscaglia, Radleigh Santos, Laura M. Tasso, Ricardo Bonato, Pablo Chiale, Clemencia Pinilla, Valeria A. Judkowski, and Karina A. Gomez

Disconjugacy, Differences, and Differentiation for Solutions of Nonlocal Boundary Value Problems for nth Order Difference Equations, Jeffrey W. Lyons

On Differentiation of Solutions of Boundary Value Problems for Second Order Dynamic Equations on a Time Scale, Jeffrey W. Lyons

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Existence of a Positive Solution for a Right Focal Dynamic Boundary Value Problem, Jeffrey W. Lyons and Jeffrey T. Neugebauer

Complete Solution to the TP2 Completion Problem, Shahla Nasserasr and Charles R. Johnson

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Inequalities of Generalized Matrix Functions via Tensor Products, Vehbi Emrah Paksoy, Ramazan Turkmen, and Fuzhen Zhang

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Improvement of IFNg ELISPOT Performance Following Overnight Resting of Frozen PBMC Samples Confirmed Through Rigorous Statistical Analysis, Radleigh Santos, Alcinette Bunying, Nazila Sabri, John Yu, Anthony Gringeri, James Bender, Sylvia Janetzki, Clemencia Pinilla, and Valeria A. Judkowski

Submissions from 2013

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Minimum Number of Distinct Eigenvalues of Graphs, Bahman Ahmadi, Fatehmeh Alinaghipour, Michael S. Cavers, Shaun Fallat, Karen Meagher, and Shahla Nasserasr

Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting Read More: https://epubs-siam-org.ezproxylocal.library.nova.edu/doi/abs/10.1137/120895858, Jing Chen, Jicai Huang, Shigui Ruan, and Jihua Wang

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On the Null Space Structure Associated with Trees and Cycles, Shaun M. Fallat and Shahla Nasserasr

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Identification of beryllium-dependent peptides recognized by CD4+ T cells in chronic beryllium disease, Michael T. Falta, Clemencia Pinilla, Douglas G. Mack, Alex N. Tinega, Francis Crawford, Marc Giulianotti, Radleigh Santos, Gina M. Clayton, Yuxiao Wang, Xuewu Zhang, Lisa A. Maier, Philippa Marrack, John W. Kappler, and Andrew P. Fontenot

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Complex Dynamics in Predator-prey Models with Nonmonotonic Functional Response and Seasonal Harvesting, Jicai Huang, Jing Chen, Yijun Gong, and Weipeng Zhang

Multiple Bifurcations in a Predator-Prey System of Holling and Lesile Type with Constant-Yield Prey Harvesting, Jicai Huang, Yijun Gong, and Jing Chen

Almost Cross Varieties of Aperiodic Monoids with Central Idempotents, Edmond W. H. Lee

Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation, Edmond W. H. Lee

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Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent, Edmond W. H. Lee

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Finitely Based Monoids Obtained From Non-Finitely Based Semigroups, Edmond W. H. Lee

Rapid Scanning Structure–Activity Relationships in Combinatorial Data Sets: Identification of Activity Switches, Jose L. Medina-Franco, Bruce S. Edwards, Clemencia Pinilla, Jon R. Appel, Marc Giulianotti, Radleigh Santos, Austin B. Yongye, Larry A. Sklar, and Richard A. Houghten

Selective Agonists and Antagonists of Formylpeptide Receptors: Duplex Flow Cytometry and Mixture-based Positional Scanning Libraries, Clemencia Pinilla, Bruce S. Edwards, Jon R. Appel, Tina Yates-Gibbins, Marc Giulianotti, Jose L. Medina-Franco, Susan M. Young, Radleigh Santos, Larry A. Sklar, and Richard A. Houghten

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The Mathematics of a Successful Deconvolution: A Quantitative Assessment of Mixture-Based Combinatorial Libraries Screened Against Two Formylpeptide Receptors, Radleigh Santos, Jon R. Appel, Marc Giulianotti, Bruce S. Edwards, Larry A. Sklar, Richard A. Houghten, and Clemencia Pinilla

Conditional Probabilistic Analysis for Prediction of the Activity Landscape and Relative Compound Activities, Radleigh Santos, Marc Giulianotti, Richard A. Houghten, and Jose L. Medina-Franco

Scaffold Ranking and Positional Scanning Utilized in the Discovery of nAChR-Selective Compounds Suitable for Optimization Studies, Jinhua Wu, Yaohong Zhang, Laura E. Maida, Radleigh Santos, Greg Welmaker, Travis LaVoi, Adel Nefzi, Yongping Yu, Richard A. Houghten, Lawrence Toll, and Marc Giulianotti

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An Analytic Approach To a Permanent Conjecture, Fuzhen Zhang

Integral Majorization Polytopes, Fuzhen Zhang and Geir Dahl

Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation, Yi Zhang, Qingling L. Zhang, Fuzhen Zhang, and Fenglan Bai

Submissions from 2012

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The Minimum Rank of Universal Adjacency Matrices, B. Ahmadi, F. Alinaghipour, Shaun M. Fallat, Yi-Zheng Fan, K. Meagher, and Shahla Nasserasr

Various Disconnectivities of Spaces and Projectabilities of L-Groups, Ricardo Enrique Carrera

A Novel Method for the Determination of Isokinetic Ratios and Its Application in the Synthesis of Two New Positional Scanning Libraries, Marc Giulianotti, Ginamarie Debevac, Radleigh Santos, Laura E. Maida, Wenteng Chen, Lili Ou, Yongping Yu, Colette T. Dooley, and Richard A. Houghten

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Totally Positive Shapes and TPk-completable Patterns, D. Hoff, C. R. Johnson, and Shahla Nasserasr

A Generalization of the Complex Autonne-Takagi Factorization To Quaternion Matrices, Roger A. Horn and Fuzhen Zhang

A Sufficient Condition for the Non-Finite Basis Property of Semigroups, Edmond W. H. Lee

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Maximal Specht Varieties of Monoids, Edmond W. H. Lee

Varieties Generated by 2-testable Monoids, Edmond W. H. Lee

Minimal Non-finitely Based Semigroups, Edmond W. H. Lee, Jian Rong Li, and Wen Ting Zhang

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Co-Adventurers in Discovery: Collaborative Research Between Undergraduate Students and Faculty, Rajeswari Murugan and Evan Haskell

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Convergence Analysis of a Fully Discrete Family of Iterated Deconvolution Methods for Turbulence Modeling with Time Relaxation, Iuliana Stanculescu, R. Ingram, N Mays, and C. C. Manica

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Some Inequalities of Majorization Type, Ramazan Turkman, Vehbi Emrah Paksoy, and Fuzhen Zhang

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Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics) by Albert W. Marshall, Ingram Olkin and Barry C. Arnold, 2nd edition, Springer (2011) xxvii+909 pp, Hardback, ISBN 978-0-387-40087-7; e-ISBN 978-0-387-68276-1, Fuzhen Zhang

Positivity of Matrices with Generalized Matrix Functions, Fuzhen Zhang

Submissions from 2011

Existence of a Positive Solution for a Right Focal Discrete Boundary Value Problem, D. R. Anderson, R. I. Avery, J. Henderson, X. Liu, and Jeffrey W. Lyons

Functorial Polar Functions, Ricardo Enrique Carrera

On Hull Classes of l-groups and Covering Classes of Spaces, Ricardo Enrique Carrera and Anthony W. Hager