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Submissions from 2014

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Aftermath: Every Math Major Should Take a Public-Speaking Course, Rachel Levy

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The Scientist–Reporter Collaboration: A Guide to Working with the Press, Rachel Levy, Flora Lichtman, and David L. Hu

Submissions from 2013

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Barred Preferential Arrangements, Connor Thomas Ahlbach '13, Jeremy Usatine '14, and Nicholas Pippenger

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Nonlocal Aggregation Models: A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz

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A Community-Engagement-Based Design Project in Introductory Environmental Engineering, Mary P. Cardenas

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The Decline of the Car Enthusiasts: Implications for Undergraduate Engineering Education, Mary P. Cardenas

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GIS and Introductory Environmental Engineering: A Way to Fold GIS into an Already-Existing Course, Mary P. Cardenas, David Wayne Kelley, and Warren Roberts

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Existence and Qualitative Properties of Solutions for Nonlinear Dirichlet Problems, Alfonso Castro, Jorge Cossio, and Carlos Vélez

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Mathematical Modeling of the Regulatory T Cell E ffects on Renal Cell Carcinoma Treatment, Lisette G. de Pillis, Trevor Caldwell '12, Elizabeth Sarapata '13, and Heather Williams '12

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A Model of Dendritic Cell Therapy for Melanoma, Lisette G. de Pillis, Angela Gallegos, and Ami E. Radunskaya

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Best Practices in Mathematical Modelling, Lisette G. de Pillis and Ami E. Radunskaya

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Approximating Frequencies of Tall Buildings, Clive L. Dym

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Stochastic Service Systems, Random Interval Graphs and Search Algorithms, Patrick Eschenfeldt '12, Ben Gross '13, and Nicholas Pippenger

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Computational Aspects of M.C. Escher’s Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas Pippenger

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Exploring the Baccalaureate Origin of Domestic Ph.D. Students in Computing Fields, Susanne Hambrusch, Ran Libeskind-Hadas, Fen Zhao, David Rabson, Amy Csizmar Dalal, Ed Fox, Charles Isbell, and Valerie Taylor

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On a Family of K3 Surfaces with S₄ Symmetry, Dagan Karp, Jacob Lewis, Daniel J. Moore '11, Dmitri Skjorshammer '11, and Ursula Whitcher

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Chromatic Bounds on Orbital Chromatic Roots, Dae Hyun Kim, Alexander H. Mun, and Mohamed Omar

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Quantitative Approaches to Sustainability Seminars, Rachel Levy

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A First Course in Computing with Applications to Biology, Ran Libeskind-Hadas and Eliot Bush

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Fault Tolerance in Cellular Automata at Low Fault Rates, Mark McCann and Nicholas Pippenger

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B Cell Chronic Lymphocytic Leukemia - A Model with Immune Response, Seema Nanda, Lisette G. de Pillis, and Ami E. Radunskaya

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Social Aggregation in Pea Aphids: Experiment and Random Walk Modeling, Christa Nilsen, John Paige, Olivia Warner, Benjamin Mayhew, Ryan Sutley, Matthew Lam '15, Andrew J. Bernoff, and Chad M. Topaz

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Entropy Driven Crystal Formation on Highly Strained Substrates, John R. Savage, Stefan F. Hopp, Rajesh Ganapathy, Sharon J. Gerbode, Andreas Heuer, and Itai Cohen

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Self-healing Dynamics of Surfactant Coatings on Thin Viscous Films, Stephen L. Strickland, Matthew Hin '13, M. Richard Sayanagi, Cameron Conti, Karen E. Daniels, and Rachel Levy

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Genetic Background Affects Epistatic Interactions Between Two Beneficial Mutations, Yinhua Wang, Carolina Diaz Arenas, Daniel M. Stoebel, and Tim F. Cooper

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Synthesis of cis- and trans-Davanoids: Artemone, Hydroxydavanone, Isodavanone, and Nordavanone, Kanny K. Wan '11, Corwyn D. Evans-Klock '13, Brian C. Fielder '14, and David A. Vosburg

Submissions from 2012

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How Muscles Function - The Work Loop Technique, Anna N. Ahn

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Increasing Women's Participation in Computing at Harvey Mudd College, Christine Alvarado, Zachary Dodds, and Ran Libeskind-Hadas

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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On the Hardness of Counting and Sampling Center Strings, Christina Boucher and Mohamed Omar

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Resonant Solutions and Turning Points in an Elliptic Problem with Oscillatory Boundary Conditions, Alfonso Castro and Rosa Pardo

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Uniqueness of Nonnegative Solutions for Semipositone Problems on Exterior Domains, Alfonso Castro, Lakshmi Sankar, and Ratnasingham Shivaji

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An Extreme Case of Plant-Insect Co-Diversification: Figs and Fig-Pollinating Wasps, Astrid Craud, Nina Ronsted, Bhanumas Chantarasuwan, Lien Siang Chou, Wendy L. Clement, Arnaud Couloux, Benjamin Cousins, Gwenaelle Genson, Rhett D. Harrison, Paul E. Hanson, Martine Hossaert-McKey, Roula Jabbour-Zahab, Emmanuelle Jousselin, Carole Kerdelhue, Finn Kiellberg, Carlos Lopez-Vaamonde, John Lee Thompson Peebles Jr. '13, Yan-Qiong Peng, Rodrigo Augusto Santinelo Pereira, Tselil Schramm '12, Rosichon Ubaidillah, Simon van Noort, George D. Weiblen, Da-Rong Yang, Anak Yodpinyanee '12, Ran Libeskind-Hadas, James M. Cook, Jean-Yves Rasplus, and Vincent Savolainen

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An Incidence Estimation Model for Multi-Stage Diseases with Differential Mortality, Alyssa W. Dray '10 and Talithia Williams

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Engineering Design at Harvey Mudd College: Innovation Institutionalized, Lessons Learned, Clive L. Dym, M. Mack Gilkeson, and J. Richard Phillips

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How the Cucumber Tendril Coils and Overwinds, Sharon J. Gerbode, Joshua R. Puzey, Andrew G. McCormick, and L. Mahadevan

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M.C. Escher Wrap Artist: Aesthetic Coloring of Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas J. Pippenger

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Splitting Fields and Periods of Fibonacci Sequences Modulo Primes, Sanjai Gupta, Parousia Rockstroh '08, and Francis E. Su

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Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed, Matthew J. Keeter '11, Daniel J. Moore '11, Ryan A. Muller '11, Eric A. Nieters '11, Jennifer Flenner, Susan E. Martonosi, Andrea L. Bertozzi, Allon G. Percus, and Rachel Levy

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Formation of Ocean Surface Patterns by Cetacean Fluke Oscillations, Rachel Levy and David Uminsky

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R₀ Analysis of a Spatiotemporal Model for a Stream Population, H. W. Mckenzie, Y. Jin, Jon T. Jacobsen, and M. A. Lewis

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Cost Estimation Certification for Managers and Engineers, Donald S. Remer, Benjamin W. Ryan, and Brandyn Carlson '11

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Black Hole Thermalization, D0 Brane Dynamics, and Emergent Spacetime, Paul L. Riggins '12 and Vatche Sahakian

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3D Imaging and Mechanical Modeling of Helical Buckling in Medicago truncatula Plant Roots, Jesse L. Silverberg, Roslyn D. Noar, Michael S. Packer, Maria J. Harrison, Christopher L. Henley, Itai Cohen, and Sharon J. Gerbode

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Escherichia coli Lacking RpoS Are Rare in Natural Populations of Non-Pathogens, Emily Snyder '11, David M. Gordon, and Daniel M. Stoebel

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Locust Dynamics: Behavioral Phase Change and Swarming, Chad M. Topaz, Maria R. D'Orsogna, Leah Edelstein-Keshet, and Andrew J. Bernoff

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Adventures in Teaching: A Professor Goes to High School to Learn about Teaching Math, Darryl H. Yong

Submissions from 2011

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Variability of Neural Activation During Walking in Humans: Short Heels and Big Calves, Anna N. Ahn, J K. Kang, Marissa A. Quitt, B D. Davidson, and C T. Nguyen

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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Combinatorics of Two-Toned Tilings, Arthur T. Benjamin, Phyllis Chinn, Jacob N. Scott '11, and Greg Simay

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The Combinatorialization of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, and Jennifer J. Quinn

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Third and Fourth Binomial Coefficients, Arthur T. Benjamin and Jacob N. Scott '11

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A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz

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A Space-Filling, Nonregular Tetrahedron, Margaret Cagle, Joyce Frost, Christine Latulippe, and Darryl H. Yong

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Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter, Jose F. Caicedo, Alfonso Castro, and Rodrigo Duque

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DNA Supercoiling is Differentially Regulated by Environmental Factors and FIS in Escherichia coli and Salmonella enterica, Andrew D.S. Cameron, Daniel M. Stoebel, and Charles J. Dorman

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End-Loaded Shallow Curved Beams, Clive L. Dym

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Stress and Displacement Estimates for Arches, Clive L. Dym and Harry E. Williams

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Evidence of the Harmonic Faraday Instability in Ultrasonic Atomization Experiments with a Deep, Inviscid Fluid, Andrew P. Higginbotham '09, Aaron Guillen '11, Nathan C. Jones '10, Thomas D. Donnelly, and Andrew J. Bernoff

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Carry Propagation in Multiplication by Constants, Alexander Izsak and Nicholas Pippenger

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A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park '11, and John Calambokidis

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Dynamic Server Allocation at Parallel Queues, Susan E. Martonosi

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A New Framework for Network Disruption, Susan E. Martonosi, Doug Altner, Michael Ernst, Elizabeth Ferme, Kira Langsjoen, Danika Lindsay, Sean S. Plott '08, and Andrew S. Ronan

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Flight Delays at RegionEx, Susan E. Martonosi and Amr Farahat

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Characteristics of Optimal Solutions to the Sensor Location Problem, David R. Morrison '08 and Susan E. Martonosi

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Strong Nonnegativity and Sums of Squares on Real Varieties, Mohamed Omar and Brian Osserman

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Latitudinal and Climatic Variation in Body Size and Dorsal Scale Counts in Sceloporus Lizards: A Phylogenetic Perspective, Christopher E. Oufiero, Gabriel E.A. Gartner, Stephen C. Adolph, and Theodore Garland Jr.

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The Cophylogeny Reconstruction Problem is NP-Complete, Yaniv J. Ovadia '10, Daniel Fielder '11, Chris Conow, and Ran Libeskind-Hadas

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A Census of Vertices by Generations in Regular Tessellations of the Plane, Alice Paul '12 and Nicholas Pippenger

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Effect of Substrate Composition and Alignment on Corneal Cell Phenotype, Donna Phu '09, Lindsay S. Wray '08, Robert V. Warren '10, Richard C. Haskell, and Elizabeth J. Orwin

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On-the-Fly Algorithms and Sequential Machines, Nicholas Pippenger

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Two Extensions of Results of Archimedes, Nicholas Pippenger

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Evolution of Spur-Length Diversity in Aquilegia Petals is Achieved solely through Cell-Shape Anisotropy, Joshua R. Puzey, Sharon J. Gerbode, Scott A. Hodges, Elena M. Kramer, and L. Mahadevan

Submissions from 2010

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Mathematical Biology at an Undergraduate Liberal Arts College, Stephen C. Adolph and Lisette G. de Pillis

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An Amazing Mathematical Card Trick, Arthur T. Benjamin

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Sums of Evenly Spaced Binomial Coefficients, Arthur T. Benjamin, Bob Chen '10, and Kimberly Kindred

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Combinatorial Trigonometry with Chebyshev Polynomials, Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, and Mark Shattuck

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Combinatorially Composing Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07

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Voting in Agreeable Societies, Deborah E. Berg '06, Serguei Norine, Francis E. Su, Robin Thomas, and Paul Wollan

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Stability and Dynamics of Self-Similarity in Evolution Equations, Andrew J. Bernoff and Thomas P. Witelski

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Learning to Create Jazz Melodies Using Deep Belief Nets, Greg Bickerman '10, Sam Bosley, Peter Swire, and Robert M. Keller

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The Contributions of Evolutionary Divergence and Phenotypic Plasticity to Geographic Variation in the Western Fence Lizard, Sceloporus Occidentalis, Christine R. Buckley, Duncan J. Irschick, and Stephen C. Adolph

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Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro and Benjamin Preskill '09

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Reduced Electronic Spaces for Modeling Donor/Acceptor Interactions, Robert J. Cave; Stephen T. Edwards '06; John A, Kouzelos '07; and Marshall D. Newton

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Two-Player Envy-Free Multi-Cake Division, John Cloutier '03, Kathryn L. Nyman, and Francis E. Su

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Jane: A New Tool for the Cophylogeny Reconstruction Problem, Chris Conow, Daniel Fielder '11, Yaniv J. Ovadia '10, and Ran Libeskind-Hadas

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Chemoselective Reactions of Citral: Green Syntheses of Natural Perfumes for the Undergraduate Organic Laboratory, Anna D. Cunningham '11, Eun Y. Ham '12, and David A. Vosburg

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Recognizing Graph Theoretic Properties with Polynomial Ideals, Jesus A. De Loera, Christopher J. HIllar, Peter N. Malkin, and Mohamed Omar

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Extending Castigliano’s Theorems to Model the Behavior of Coupled Systems, Clive L. Dym

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Design Pedagogy: Representations and Processes, Daniel D. Frey, William Birmingham, and Clive L. Dym

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Direct Measurements of Island Growth and Step-Edge Barriers in Colloidal Epitaxy, Rajesh Ganapathy, Mark R. Buckley, Sharon J. Gerbode, and Itai Cohen

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Glassy Dislocation Dynamics in 2D Colloidal Dimer Crystals, Sharon J. Gerbode, Ugmang Agarwal, Desmond C. Ong, Chekesha M. Liddell, Fernando Escobedo, and Itai Cohen

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Dislocations and Vacancies in Two-Dimensional Mixed Crystals of Spheres and Dimers, Sharon J. Gerbode, Desmond C. Ong, Chekesha M. Liddell, and Itai Cohen

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Self-Similarity in Particle-Laden Flows at Constant Volume, Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi

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Local versus Global Search in Channel Graphs, A.H. Hunter and Nicholas Pippenger

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Engineering Flow States with Localized Forcing in a Thin, Marangoni-Driven Inclined Film, Rachel Levy, Stephen Rosenthal '09, and Jeffrey Wong '11

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Estimating Incidence of Vision-Reducing Cataract in Africa, Susan Lewallen, Talithia Williams, Alyssa W. Dray '10, Brian C. Stock, Wanjiku Mathenge, Joseph Oye, John Nkurikiye, Kahaki Kimani, Andreas Müller, and Paul Courtright

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Figs, Wasps, Gophers, and Lice: A Computational Exploration of Coevolution, Ran Libeskind-Hadas

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Sex, Mixability, and Modularity, Adi Livnat, Christos Papadimitriou, Nicholas Pippenger, and Marcus W. Feldman

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"Toward Integration: From Quantitative Biology to Mathbio-Biomath?", Pat Marsteller, Lisette G. de Pillis, Ann Findley, Karl Joplin, John Pelesko, Karen Nelson, Katerina Thompson, David Usher, and Joseph Watkins