### Get the *Mathematics and Statistics Faculty Publications* RSS feed

To enable the *Mathematics and Statistics Faculty Publications* RSS feed, simply drag this link into your RSS reader.

#### 2016

How the Magnitude of Prey Genetic Variation Alters Predator-Prey Eco-Evolutionary Dynamics, Michael H. Cortez; *American Naturalist*

A Proof of Concept Study of Function-based Statistical Analysis of fNIRS Data: Syntax Comprehension in Children with Specific Language Impairment Compared To Typically-Developing Controls, Guifang Fu, Nicholas J. Wan, Joseph M. Baker, James Montgomery, Julia L. Evans, and Ronald Gillam; *Frontiers in Behavioral Neuroscience*

Modeling Zombie Outbreaks: A Problem-Based Approach to Improving Mathematics One Brain at a Time, Matthew Lewis and James A. Powell; *PRIMUS*

Yeast for Mathematicians - A Ferment of Discovery, Matthew Lewis and James A. Powell

Expression Profiles of miRNA Subsets Distinguish Human Colorectal Carcinoma and Normal Colonic Mucosa, Daniel F. Pellatt, John R. Stevens, Roger K. Wolff, Lila E. Mullany, Jennifer S. Herrick, Wade Samowitz, and Martha L. Slattery; *Clinical and Translational Gastroenterology*

#### 2015

Individual-Based Modeling: Mountain Pine Beetle Seasonal Biology in Response to Climate, Jacques Regniere, Barbara J. Bentz, Jim A. Powell, and Remi St-Amant; *Simulation Modeling of Forest Landscape Disturbances*

#### 2014

Linear Operators That Preserve Graphical Properties of Matrices: Isolation Numbers, LeRoy B. Beasley, Seok-Zun Song, and Young Bae Jun; *Czechoslovak Mathematical Journal*

Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities, Nghiem Nguyen, R. Tian, and Z. -Q. Wang; *Electronic Journal of Differential Equations*

A Shortcut for Multiple Testing on the Directed Acyclic Graph of Gene Ontology, Garrett Saunders, John R. Stevens, and S. Clay Isom; *BMC Bioinformatics*

#### 2012

New symbolic tools for differential geometry, gravitation, and field theory, Ian M. Anderson and Charles G. Torre; *Journal of Mathematical Physics*

Forbidden Subgraph Characterization of Bipartite Unit Probe Interval Graphs, David E. Brown and L. J. Langley; *The Australasian Journal of Combinatorics*

Processes and Pathways: How Do Mathematics and Science Partnerships Measure and Promote Growth in Teacher Content Knowledge?, Patricia S. Moyer-Packenham and A. Westenskow; *School Science and Mathematics*

Carrying BioMath Education in a Leaky Bucket, James A. Powell, Brynja R. Kohler, James W. Haefner, and Janice Bodily; *Bulletin of Mathematical Biology*

Animal life cycle models, J. Reniere and James A. Powell; *Phenology: An Integrative Environmental Science*

#### 2011

Rank 2 distributions of Monge equations: Symmetries, equivalences, ex-tensions, Ian M. Anderson and B. Kruglikov; *Advances in Mathematics*

Cycle Extendability in Graphs and Digraphs, LeRoy B. Beasley and David E. Brown; *Linear Algebra and its Applications*

Boolean Rank of Upset Tournament Matrices, David E. Brown, Scott Roy, J. Richard Lundgren, and Daluss J. Siewert; *Linear Algebra and its Applications*

Daphnia Impact on Logan Wastewater
Lagoons, D. Chea, K. McCullogh, James A. Powell, and R. C. Sims; *Daphnia Impact on Logan Wastewater
Lagoons*

A Quantitative Genetics Approach to Model the Evolution
of Insect Development, C. A. Cobbold and James A. Powell; *Bulletin of Mathematical Biology*

Development of high-resolution pine density maps for
landscape-level modeling of mountain pine beetle, B. Crabb, James A. Powell, and B. Bentz; *North American Forest Insect Work Conference*

Homogenization of large scale
movement models in ecology, M. J. Garlick, James A. Powell, M. B. Hooten, and L. Macfarlane; *Bulletin of Mathematical Biology*

Prepupal diapause and instar
IV developmental rates of the spruce beetle, Dendroctonus rufipennis (Coleoptera: Curculionidae,
Scolytinae), E. M. Hansen, B. J. Bentz, James A. Powell, D. R. Gray, and J. C. Vandygriff; *Journal of Insect Physiology*

#### 2010

Assessing Proofs with Rubrics: The RVF Method, David E. Brown; *Proceedings of the 13th Conference of the Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education*

Linear Time Recognition Algorithms and Structure Theorems for Bipartite Tolerance and Bipartite Probe Interval Graphs, David E. Brown, A. H. Busch, and G. Isaak; *Discrete Mathematics and Theoretical Computer Science*

Daphnia-Algae Modeling of the Logan
Wastewater Lagoons, D. Chea, K. McCullogh, James A. Powell, and R. C. Sims; *Daphnia-Algae Modeling of the Logan
Wastewater Lagoons*

Mathematically Modelling Polymerase Chain Reaction: An
Asymptotic Approximation with Potential for Optimization, M. J. Garlick and James A. Powell; *Mathematical Biosciences and Engineering*

Leading Students to Investigate
Diffusion as a Model of Brine Shrimp Movement, B. R. Kohler, R. Swank, J. W. Haefner, and James A. Powell; *Bulletin of Mathematical Biology*

Modeling the Effects of Developmental Variation on Insect
Phenology, B. P. Yurk and James A. Powell; *Bulletin of Mathematical Biology*

#### 2009

Transformations of Darboux Integrable Systems, Ian M. Anderson and Mark E. Fels; *Differential equations : geometry, symmetries and integrability : the Abel Symposium 2008, proceedings of the Fifth Abel Symposium, Tromsø, Norway, June 17-22, 2008 Abel Symposia, 2009*

Superposition Formulas for Darboux Integrable Exterior Differential Sys-tems, Ian M. Anderson, Mark E. Fels, and Peter J. Vassiliou; *Advances in Mathematics*

Superposition Formulas for Exterior Differential Systems, I. M. Anderson, Mark E. Fels, and P. J. Vassiliou; *Advances in Mathematics*

Embedding Tournaments, LeRoy B. Beasley and David E. Brown; *Congressus Numerantium*

Preserving Regular Tournaments and Term Rank-1, LeRoy B. Beasley, David E. Brown, and Alexander E. Guterman; *Linear Algebra and its Applications*

Extending Partial Tournanents, LeRoy B. Beasley, David E. Brown, and K. Brooks Reid; *Mathematical and Computer Modelling*

Self-Assessment: Aiding Awareness of Achievement, David E. Brown; *Proceedings of the 12th Conference of the Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education*

Probe Interval Orders, David E. Brown and L. J. Langley; *The Mathematics of Preference,
Choice and Order: Essays in Honor of Peter C. Fishburn*

A Characterization of Cycle-free Unit Probe Interval Graphs, David E. Brown, J. Richard Lundgren, and Li Sheng; *Discrete Applied Mathematics*

Superposition Formulas For Exterior Differential Systems, Mark E. Fels; *Superposition Formulas For Exterior Differential Systems*

Homogenization of Large Scale Movement
Models with Application to Spread of Wasting Disease in Ungulate Populations, M. J. Garlick, James A. Powell, and M. Hooten; *Homogenization of Large Scale Movement
Models with Application to Spread of Wasting Disease in Ungulate Populations*

Change of support in inverse implementations
of statistical differential equation models, M. B. Hooten, M. J. Garlick, and James A. Powell; *Proceedings of the American Statistical Association*

Leading Students to Investigate Diffusion as a Model of Brine Shrimp Movement, Brynja R. Kohler, Rebecca J. Swank, James W. Haefner, and James A. Powell; *Bulletin of Mathematical Biology*

Ecological consequences of climate change altered forest insect
disturbance regimes, J. A. Logan and James A. Powell; *Climate change in western North America : Evidence and
environmental effects*

Connecting Phenological Predictions with Population Growth
Rates for an Outbreak Insect, James A. Powell and B. J. Bentz; *Landscape Ecology*

Modeling the Evolution of Insect Phenology, B. P. Yurk and James A. Powell; *Bulletin of Mathematical Biology*

#### 2008

The Development and Evaluation of a Program for Improving and
Assessing the Teaching of Mathematics and Statistics, David E. Brown, Brynja R. Kohler, and Jim Cangelosi; *Proceedings of the 11th Conference of the Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education*

The effect of chemical information
on the spatial distribution of fruit flies I: Model results, M. R. Etienne, James A. Powell, M. DeGee, and L. Hemerik; *Bulletin of Mathematical Biology*

A novel method for fitting spatio-temporal models to data, with
applications to the dynamics of Mountain Pine Beetle, J. Heavilin and James A. Powell; *Natural Resource Modelling*

#### 2007

On Darboux Integrability, Ian M. Anderson, M. Fels, and P. J. Vassiliou; *Symmetry and Perturbation Theory*

Interval Tournaments, David E. Brown, Arthur H. Busch, and J. Richard Lundgren; *Journal of Graph Theory*

Integrating Ordinary Differential Equations with Symmetry Revisited, Mark E. Fels; *Foundations of Computational Math*

On Darboux Integrability, Mark E. Fels; *On Darboux Integrability*

Synchrony’s double edge: Transient dynamics
and the Allee effect in stage structured populations, N. A. Friedenberg, James A. Powell, and M. P. Ayres; *Ecology Letters*

Modelling Polymerase Chain Reaction and Implications for
Optimization, M. J. Garlick and James A. Powell; *Modelling Polymerase Chain Reaction and Implications for
Optimization*

Development and parametrization of a model for
bark beetle disturbance in lodgepole forest, J. Heavilin, James A. Powell, and J. A. Logan; *Plant Disturbance Ecology*

On the
use of the Advanced Very High Resolution Radiometer for development of prognostic land surface
phenology models, N. Kathuroju, M. A. White, J. Symanzik, M. D. Schwartz, James A. Powell, and R. R. Nemani; *Ecological Modelling*

#### 2006

Bipartite Probe Interval Graphs, Interval Point Bigraphs, and Circular ArcGraphs, David E. Brown and J. R. Lundgren; *The Australasian Journal of Combinatorics*

Characterizing Output of PCR, B. Bush, A. Criddle, and K. Huang; *Characterizing Output of PCR*

Impacts of
Climate Change on Range Expansion by the Mountain Pine Beetle, A. L. Carroll, J. Regniere, J. A. Logan, S. W. Taylor, B. J. Bentz, and James A. Powell; *Impacts of
Climate Change on Range Expansion by the Mountain Pine Beetle*

Darboux Integrability, Mark E. Fels; *Darboux Integrability*

Differential Geometry wiht Maple, Mark E. Fels; *Differential Geometry wiht Maple*

Differential Geometry with Maple, Mark E. Fels; *Differential Geometry wiht Maple*

Exterior Differential Systems with Symmetry, Mark E. Fels; *Exterior Differential Systems with Symmetry*

Exterior Differential Systems with Symmetry I and II, Mark E. Fels; *Exterior Differential Systems with Symmetry I and II*

Symmetry Reduction of Exterior Differential Systems, Mark E. Fels; *Symmetry Reduction of Exterior Differential Systems*

Non-Reductive Four Dimensional Homogeneous Pseudo-Riomannian Mani-Folds, Mark E. Fels and A. G. Renner; *Canadian Journal of Math*

Changing temperatures influence suitability
for mountain pine beetle outbreaks in the western US, J. A. Hicke, J. A. Logan, James A. Powell, and D. S. Ojima; *Journal of Geophysical Research- Biogeosciences*

#### 2005

Exterior Differential Systems with Symmetry, Ian M. Anderson and Mark E. Fels; *Acta Applicandae Mathematicae*

Exterior Differential Systems with Symmetry, I. M. Anderson and Mark E. Fels; *Acta. Appl. Math*

On Cycle and Bi-cycle Extendability in Chordal and Chordal Bipartite Graphs, LeRoy B. Beasley and David E. Brown; *Congressus Numerantium*

Coffee to Go! Modeling Thermoclines in Multivariable Calculus, Andrea Bruder and Brynja R. Kohler

Modelling Mountain Pine Beetle Outbreaks at Landscape Scales, J. Heavilin and James A. Powell; *Modelling Mountain Pine Beetle Outbreaks at Landscape Scales*

Insect Seasonality – Circle Map Analysis of Temperature-Driven
Life Cycles, James A. Powell and J. A. Logan; *Theoretical Population Biology*

Epidemic Spread of a Lesion-Forming Plant
Pathogen – Analysis of a Mechanistic Model with Infinite Age Structure, James A. Powell, I. Slapnicar, and W. Van der Werf; *Journal of Linear Algebra and Applications*

Influence
of Host Diversity on Development of Epidemics: An Evaluation and Elaboration of Mixture Theory, P. Skelsey, W. A. H. Rossing, G. J. T. Kessel, James A. Powell, and W. Van der Werf; *Phytopathology*

Partial differential equations and phenology modelling, B. P. Yurk and James A. Powell; *Partial differential equations and phenology modelling*

#### 2004

Low Dimensional Lie Algebras with Maple and Applications to Differential
Geometry and Differential Equations, Ian M. Anderson; *Low Dimensional Lie Algebras with Maple and Applications to Differential
Geometry and Differential Equations*

A Co-Chain Map on the G-invariant de Rham Complex, Ian M. Anderson and M. Fels; *Symmetry and Perturbation Theory*

Relationships Among Classes of Interval Bigraphs, (0,1)-matrices, and
Circular Arc Graphs, David E. Brown and J. R. Lundgren; *Congressus Numerantium*

A Cochain Map on the G Invariant de Rham Complex, Mark E. Fels; *A Cochain Map on the G Invariant de Rham Complex*

Exterior Differential Systems with Symmetry, Mark E. Fels; *Exterior Differential Systems with Symmetry*

Non-Reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension 4, Mark E. Fels; *Non-Reductivw Homogeneous Pseudo-Riemannian Manifolds of Dimension 4*

Comparison of three models predicting developmental
milestones given environmental and individual variation, E. Gilbert, James A. Powell, and J. A. Logan; *Bulletin of Mathematical Biology*

Modelling
spatial characteristics in the biocontrol of fungi at the leaf scale: Competitive substrate colonization
by Botrytis cinerea and the saprophytic antagonist Ulocladium atrum, G. J. T. Kessel, J. Kohl, James A. Powell, R. Rabbinge, and W. Van der Werf; *Phytopathology*

Ecological consequences of climate change altered forest insect disturbance
regimes, J. A. Logan and James A. Powell; *Proceedings of the Pacific AAAS meeting*

Multi-Scale Analysis of Seed Dispersal Contributes to
the Resolution of Reid’s Paradox, James A. Powell and N. E. Zimmermann; *Ecology*

#### 2003

Nonlinear Superposition Principles for Exterior Differential Systems, Ian M. Anderson; *Nonlinear Superposition Principles for Exterior Differential Systems*

Identifying ’Redtops’: Classification of
Satellite Imagery for Tracking Mountain Pine Beetle Progression through a Pine Forest, R. Cutler, L. Brown, James A. Powell, B. Bentz, and A. Cutler; *Proceedings
of the 35th Symposium on the Interface*

Mathematical and Computational Methodology for Predicting the Emergence
of Insect Pests, J. T. Leek and James A. Powell; *Mathematical and Computational Methodology for Predicting the Emergence
of Insect Pests*

Mathematical and Computational Methodology for Predicting the
Emergence of Insect Pests, J. T. Leek and James A. Powell; *Mathematical and Computational Methodology for Predicting the
Emergence of Insect Pests*

Modeling mountain pine beetle phenological response to temperature, J. A. Logan and James A. Powell; *Proc. of a Mountain Pine Beetle Symposium: Challenges and Solutions*

Assessing the Impacts of Global Climate Change
on Forest Pests, J. A. Logan, J. Reniere, and James A. Powell; *Frontiers in Ecology*

#### 2002

A Survey of Classical Integration Methods for Partial Differential Equations, Ian M. Anderson; *A Survey of Classical Integration Methods for Partial Differential Equations*

Classification Problems in Geometry and Algebra, Ian M. Anderson; *Classification Problems in Geometry and Algebra*

Maple Packages and Java Applets in Foundations of Computational Math-
ematics, Minneapolis 2002, Ian M. Anderson; *LondonMathematical Society Lecture Notes Series*

Transverse Group Actions on Bundles, Ian M. Anderson and Mark E. Fels; *Topology and its Applications*

Transverse Group Action on Bundles, I. M. Anderson and Mark E. Fels; *Topology and Its Applications*

Field Validation of Mountain Pine Beetle Phenology
Models, B. J. Bentz, James A. Powell, J. A. Logan, and E. Gilbert; *Field Validation of Mountain Pine Beetle Phenology
Models*

Characterizations of Interval Bigraphs and Unit Interval
Bigraphs, David E. Brown, S. C. Flink, and J. R. Lundgren; *Congressus Numerantium*

Interval k-graphs, David E. Brown, S. C. Flink, and J. R. Lundgren; *Congressus Numerantium*

The interaction between dispersal,
the Allee effect and scramble competition affects population dynamics, R. Etienne, B. Wertheim, L. Hemerik, P. Schneider, and James A. Powell; *Ecological Modelling*