Publications and creative works by faculty in the Department of Mathematics, College of Science and Mathematics, are collected here.

Follow


Submissions from 2010

The Fluid Mechanics of the Eye and the Role of the Mucus Layer, Douglas Platt and Ashuwin Vaidya (2010)

New Fat Free Mass - Fat Mass Model for Use in Physiological Energy Balance Equations, Diana Thomas, Sai Das, James A. Levine, Corby K. Martin, Laurel Mayer, Andrew McDougall, Boyd J. Strauss, and Steven B. Heymsfield (2010)

Construction of a New Fractional Chaotic System and Generalized Synchronization, Xiao Dan Zhang, Pin Dong Zhao, and Aihua Li (2010)

Submissions from 2009

Advancing Lattice Path Models for Nanoparticle Percolation of Conductivity in a Non-Conductive Matrix, Joseph P. Brennan, Aihua Li, and Qun Huo (2009)

Trees Through Specified Vertices, Jonathan Cutler (2009)

The Antiviral Action of Common Household Disinfectants and Antiseptics Against Murine Hepatitis Virus, a Potential Surrogate for SARS Coronavirus, Christine Dellanno, Quinn Vega, and Diane Boesenberg (2009)

Freedericksz Transition in Nematics: Effects of Non-Linear Shear Profile and Elastic Anisotropy, Bagisa Mukherjee and Arup Mukherjee (2009)

An Algorithm for Seismic Imaging and Amplitude Correction Derived from Scattering Theory, Bogdan Nita (2009)

Pseudo-Depth/Intercept-Time Monotonicity Requirements in the Inverse Scattering Algorithm for Predicting Internal Multiple Reflections, Bogdan Nita and Arthur B. Weglein (2009)

PDF

When to Spray: a Time-Scale Calculus Approach to Controlling the Impact of West Nile Virus, Diana Thomas, Marion Weedermann, Lora Billings, Joan Hoffacker, and Robert Washington-Allen (2009)

Submissions from 2008

PDF

Thermally activated switching in the presence of non-Gaussian noise, Lora Billings, Mark Dykman, and Ira Schwartz (2008)

PDF

Identifying almost invariant sets in stochastic dynamical systems, Lora Billings and Ira Schwartz (2008)

Graph Connectivity, Partial Words, and a Theorem of Fine and Wilf, F. Blanchet-Sadri, Deepak Bal, and Gautam Sisodia (2008)

Brachistochrones in Potential Flow and the Connection to Darwin's Theorem, Roberto Camassa, Richard M. McLaughlin, Matthew N.J. Moore, and Ashuwin Vaidya (2008)

An Optimal Principle in Fluid-Structure Interaction, Bong Jae Chung and Ashuwin Vaidya (2008)

Unavoidable Subgraphs of Colored Graphs, Jonathan Cutler and Balázs Montágh (2008)

Modeling Bubbles and Droplets in Magnetic Fluids, Mark Korlie, Arup Mukherjee, Bogdan Nita, John G. Stevens, A. David Trubatch, and Philip Yecko (2008)

Analysis of Flows of Ferrofluids Under Simple Shear, Mark Korlie, Arup Mukherjee, Bogdan Nita, John G. Stevens, A. D. Trubatch, and P. Yecko (2008)

On Some Generalizations of the Second Grade Fluid Model, Mehrdad Massoudi and Ashuwin Vaidya (2008)

Natural Convection Flow of a Generalized Second Grade Fluid Between Two Vertical Walls, Mehrdad Massoudi, Ashuwin Vaidya, and Rachmadian Wulandana (2008)

Forward Scattering Series and Padé Approximants for Acoustic Wavefield Propagation in a Vertically Varying Medium, Bogdan Nita (2008)

Bilingual Content-Based Teaching - an Important Component for Education Globalization, Xiaoying Teng and Aihua Li (2008)

Submissions from 2007

Discrete Sturm-Liouville Problems with Nonlinear Parameter in the Boundary Conditions, Betty Jean Harmsen and Aihua Li (2007)

3D Simulation of Cracks and Fractures in a Molecular Solid Under Stress and Compression, Mark Korlie (2007)

A Comprehensive Strategy for Removing Multiples and Depth Imaging Primaries without Subsurface Information: Direct Horizontal Common Image Gathers without the Velocity or "Ironing", Fang Liu, Arthur B. Weglein, Kristopher A. Innanen, Bogdan Nita, and Jingfeng Zhang (2007)

Analytic Continuation of Perturbative Solutions of Acoustic 1D Wave Equation By Means of Padé Approximants, Bogdan Nita (2007)

Inverse Scattering Internal Multiple Attenuation Algorithm and Analysis of the Pseudo-Depth and Time Monotonicity Requirements, Bogdan Nita and Arthur B. Weglein (2007)

Inverse Scattering Sub-Series Direct Removal of Multiples and Depth Imaging and Inversion of Primaries without Subsurface Informationstrategy and Recent Advances, A. B. Weglein, L. Amundsen, F. Liu, K. Innanen, Bogdan Nita, J. Zhang, A. Ramirez, and E. Otnes (2007)

Submissions from 2006

Latin Squares with Forbidden Entries, Jonathan Cutler and Lars Daniel Öhinan (2006)

Removing Free-Surface Multiples from Teleseismic Transmission and Constructed Reflection Responses Using Reciprocity and the Inverse Scattering Series, Chengliang Fan, Gary L. Pavlis, Arthur B. Weglein, and Bogdan Nita (2006)

Genetic Operators Design Using Division Algorithm in the Integer Solution Space, Li Guiting, Wang Bingtuan, and Aihua Li (2006)

Symbolic Powers of Radical Ideals, Aihua Li and Irena Swanson (2006)

Multi-Dimensional Seismic Imaging Using the Inverse Scattering Series, Fang Liu, Arthur B. Weglein, Kristopher A. Innanen, and Bogdan Nita (2006)

Existence of Steady Freefall of Rigid Bodies in a Second Order Fluid with Applications to Particle Sedimentation, Ashuwin Vaidya (2006)

Observations on the Transient Nature of Shape-Tilting Bodies Sedimenting in Polymeric Liquids, Ashuwin Vaidya (2006)

Non-Linear Stability for Convection with Quadratic Temperature Dependent Viscosity, Ashuwin Vaidya and Rachmadian Wulandana (2006)

Using the Inverse Scattering Series to Predict the Wavefield At Depth and the Transmitted Wavefield without an Assumption About the Phase of the Measured Reflection Data Or Back Propagation in the Overburden, A. B. Weglein, Bogdan Nita, K. A. Innanen, E. Otnes, S. A. Shaw, F. Liu, H. Zhang, A. C. Ramírez, J. Zhang, G. L. Pavlis, and C. Fan (2006)

Submissions from 2005

PDF

Dynamic effects of antibody-dependent enhancement on the fitness of viruses, Derek Cummings, Ira Schwartz, Lora Billings, Leah Shaw, and Donald Burke (2005)

Linearality of Polynomial Models of Discrete Time Series, Aihua Li and Serpil Saydam (2005)

Shear Flow in Nematic Liquid Crystals: Fréedericksz Transition as a Bifurcation, Arup Mukherjee and Bagisa Mukherjee (2005)

Boundary Effects in Stokes' Problem with Melting, Arup Mukherjee and John G. Stevens (2005)

Heat Transport in Stokes' Problem with Melting: A Two-Layer Approach, Arup Mukherjee and John G. Stevens (2005)

Exploring Mathematics Outside the Classroom Through the Field Trip Assignment, Mika Munakata (2005)

Welcome to the Math Book Club: A New Approach to Integrating Mathematics, Reading, and Writing, Mika Munakata (2005)

Pure Gravitational Radiation with Twisting Rays in the Linear Approximation, Bogdan Nita, Paul MacAlevey, and Phillip T. Downes (2005)

Link

Chaotic desynchronization of multistrain diseases, Ira Schwartz, Leah Shaw, Derek Cummings, Lora Billings, Marie McCrary, and Donald Burke (2005)

A Note on the Orientation of Symmetric Rigid Bodies Sedimenting in a Power-Law Fluid, Ashuwin Vaidya (2005)

Incorporating Course Content While Fostering a More Learner-Centered Environment, Quinn Vega and Marilyn R. Tayler (2005)

Submissions from 2004

PDF

Stochastic bifurcation in a driven laser system: Experiment and theory, Lora Billings, Ira Schwartz, David Morgan, Erik Bollt, Riccardo Meucci, and Enrico Allaria (2004)

The Students' Take on the Epsilon-Delta Definition of a Limit, Eileen Fernandez (2004)

Forward Scattering Series and Seismic Events: Far Field Approximations, Critical and Postcritical Events, Bogdan Nita, Kenneth H. Matson, and Arthur B. Weglein (2004)

Imaging with Τ = 0 Versus T = 0Implications for the Inverse Scattering Internal Multiple Attenuation Algorithm, Bogdan Nita and Arthur B. Weglein (2004)

PDF

Dynamical epidemic suppression using stochastic prediction and control, Ira Schwartz, Lora Billings, and Erik Bollt (2004)

PDF

Multi-scale continuum mechanics: from global bifurcations to noise induced high-dimensional chaos, Ira B. Schwartz, David S. Morgan, Lora Billings, and Ying-Cheng Lai (2004)

Steady Fall of Bodies of Arbitrary Shape in a Second-Order Fluid At Zero Reynolds Number, Ashuwin Vaidya (2004)

Submissions from 2003

PDF

Noise-induced unstable dimension variability and transition to chaos in random dynamical systems, Ying-Cheng Lai, Zonghua Liu, Lora Billings, and Ira B. Schwartz (2003)

Polynomial Models of Discrete Time Series over Finite Fields, Aihua Li (2003)

Note on Invariants of the Weyl Tensor, Bogdan Nita (2003)

Classical Solutions of the Perturbed Wave Equation with Singular Potential, Ashuwin Vaidya and G. A J Sparling (2003)

Submissions from 2002

The Interlace Polynomial of Graphs At -1, P. N. Balister, B. Bollobás, Jonathan Cutler, and Luke Pebody (2002)

PDF

Phase-space transport of stochastic chaos in population dynamics of virus spread, Lora Billings, Erik M. Bollt, and Ira B. Schwartz (2002)

Experimenting with Classroom Formats to Encourage Problem Solving, Eileen Fernandez, Jessica Kazimir, Lynn Vandemeulebroeke, and Carlos Burgos (2002)

Link

Orientation of Symmetric Bodies Falling in a Second-Order Liquid At Nonzero Reynolds Number, Giovanni P. Galdi, Ashuwin Vaidya, Milan Pokorný, Daniel D. Joseph, and Jimmy Feng (2002)

Discrete Sturm-Liouville Problems with Parameter in the Boundary Conditions, B. J. Harmsen and Aihua Li (2002)

Monoidal Extensions of a Cohen-Macaulay Unique Factorization Domain, William J. Heinzer, Aihua Li, Louis J. Ratliff, and David E. Rush (2002)

Non-Trivial Solutions to Certain Matrix Equations, Aihua Li and Duane Randall (2002)

PDF

Transition to Chaos in Continuous-Time Random Dynamical Systems, Zonghua Liu, Ying-Cheng Lai, Lora Billings, and Ira B. Schwartz (2002)

Approximate Solutions of Types (3, 1) and (4), Ivor Robinson, Philip Downes, Paul Macalevey, and Bogdan Nita (2002)

Submissions from 2001

Analysis of Phospholipase C-Γ Activation by a Truncated Receptor Tyrosine Kinase in Vitro, Quinn Vega (2001)

Translocation of PLC-Γ to the Plasma Membrane Caused By Truncated Tyrosine Kinases, Quinn Vega (2001)

Submissions from 2000

3-D Particle Modeling of Gas Bubbles in a Liquid, Mark Korlie (2000)

PDF

Three-Dimensional Computer Simulation of Liquid Drop Evaporation, Mark Korlie (2000)

Birational Extensions of a Noetherian UFD, Aihua Li (2000)

An Invariant of Null Spinor Fields, Bogdan Nita and Ivor Robinson (2000)

Undergraduate Research in a Biotechnology Teaching Laboratory: Expression and Purification of a Tyrosine Kinase, Quinn Vega (2000)

Submissions from 1999

Regression for Overdetermined Systems: A Fisheries Example, L. Manchester, C. A. Field, and Andrew McDougall (1999)

Submissions from 1998

Prime Ideals in Two-Dimensional Domains over the Integers, Aihua Li and Sylvia Wiegand (1998)

Identification and Characterization of Gfrα-3, a Novel Co-Receptor Belonging to the Glial Cell Line-Derived Neurotrophic Receptor Family, Carolyn A. Worby, Quinn Vega, Hanna H.J. Chao, Audrey F. Seasholtz, Robert C. Thompson, and Jack E. Dixon (1998)

Submissions from 1997

PDF

Lyapunov exponents, singularities, and a riddling bifurcation, Lora Billings, James H. Curry, and Eric Phipps (1997)

Particle Modeling of Liquid Drop Formation on a Solid Surface in 3-D, Mark Korlie (1997)

Particle Simulation of Carbon Dioxide Bubbles in Water, Mark Korlie and D. Greenspan (1997)

Optimal Transformations and the Spectral Envelope for Real-Valued Time Series, Andrew McDougall, D. S. Stoffer, and D. E. Tyler (1997)

Submissions from 1996

PDF

On noninvertible mappings of the plane: Eruptions, Lora Billings and James H. Curry (1996)

Oncogenic RET Receptors Display Different Autophosphorylation Sites and Substrate Binding Specificities, Xin Liu, Quinn Vega, Ruth A. Decker, Akhilesh Pandey, Carolyn A. Worby, and Jack E. Dixon (1996)

A Novel Cytoplasmic Dual Specificity Protein Tyrosine Phosphatase Implicated in Muscle and Neuronal Differentiation, Robert J. Mourey, Quinn Vega, Jean S. Campbell, Mary Pat Wenderoth, Stephen D. Hauschka, Edwin G. Krebs, and Jack E. Dixon (1996)

Glial Cell Line-Derived Neurotrophic Factor Activates the Receptor Tyrosine Kinase RET and Promotes Kidney Morphogenesis, Quinn Vega, Carolyn A. Worby, Mark S. Lechner, Jack E. Dixon, and Gregory R. Dressler (1996)

Submissions from 1995

Associated Prime Filtrations of Finitely Generated Modules over Noetherian Rings, Aihua Li (1995)

Submissions from 1993

Spectral Analysis for Categorical Time Series: Scaling and the Spectral Envelope, David S. Stoffer, David E. Tyler, and Andrew McDougall (1993)

Submissions from 1992

A Site of Tyrosine Phosphorylation in the C Terminus of the Epidermal Growth Factor Receptor Is Required to Activate Phospholipase C, Quinn Vega, C. Cochet, O. Filhol, C. P. Chang, Goo Rhee Sue Goo Rhee, and G. N. Gill (1992)

Submissions from 1988

Regression Procedures for ARMA Estimation, E. J. Hannan and Andrew McDougall (1988)