Submissions from 2009
Mathematical Model Creation for Cancer Chemo-Immunotherapy, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, and Benjamin Preskill '09
Consistent Derivations of Spring Rates for Helical Springs, Clive L. Dym
D3 Branes in a Melvin Universe: A new realm for gravitational holography, Julian E. Freed-Brown '10, Vedika Khemani '10, and Vatche Sahakian
Generation of Mie Size Microdroplet Aerosols with Applications in Laser-Driven Fusion Experiments, Andrew P. Higginbotham '09, O. Semonin '06, S. Bruce '08, C. Chan '08, M. Maindi '07, Thomas D. Donnelly, M. Maurer, W. Bang, I. Churina, J. Osterholz, I. Kim, A. C. Bernstein, and T. Ditmire
Asymptotic Dynamics of Attractive-Repulsive Swarms, Andrew J. Leverentz '08, Chad M. Topaz, and Andrew J. Bernoff
On the Computational Complexity of the Reticulate Cophylogeny Reconstruction Problem, Ran Libeskind-Hadas and Michael A. Charleston
A preliminary mathematical model of skin dendritic cell trafficking and induction of T cell immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, and Lisette G. de Pillis
Molecular Systematics of the Speciose Indo-Pacific Soft Coral Genus, Sinularia (Anthozoa: Octocorallia)., Catherine S. McFadden, Leen P. van Ofwegen, Yehuda Benayahu, Phil Alderslade, and Elizabeth J. Beckman
A Concise, Biomimetic Total Synthesis of (+)-Davanone, Karen C. Morrison '08, Jonathan P. Litz '09, Kathryn P. Scherpelz '07, Paul D. Dossa '06, and David A. Vosburg
Thermal Links for the Implementation of an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Michael K. Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
Stability of Traveling Waves in Thin Liquid Films Driven by Gravity and Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, and Rachel Levy
Attribute estimation and testing quasi-symmetry, Nicholas Pippenger and Krzysztof Majewski
Project and Engineering Management Certification, Donald S. Remer and Michael A. Martin '09
How Much can Guided Modes Enhance Absorption in Thin Solar Cells?, Peter N. Saeta, Vivian E. Ferry, Domenico Pacifici, Jeremy N. Munday, and Harry A. Atwater
Institutional Resilience Amid Political Change: The Case of Biodiversity Conservation, Paul F. Steinberg
Compensatory Evolution of Gene Regulation in Response to Stress by Escherichia coli Lacking RpoS, Daniel M. Stoebel, Karsten Hokamp, Michael S. Last, and Charles J. Dorman
The Initial and Final States of Electron and Energy Transfer Processes: Diabatization as Motivated by System-Solvent Interactions, Joseph E. Subotnik, Robert J. Cave, Ryan P. Steele, and Neil Shenvi
Sum Rules and Universality in Electron-modulated Acoustic Phonon Interaction in a Free-standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, and Nobuya Mori
Gaseous Hole Closing in a Polymer Langmuir Monolayer, Lu Zou, Andrew J. Bernoff, J. Adin Mann Jr., James C. Alexander, and Elizabeth K. Mann
Submissions from 2008
Estimating Maximum Performance: Effects of Intraindividual Variation, Stephen C. Adolph and Trevor Pickering '05
Uniqueness of Large Radial Solutions and Existence of Nonradial Solutions for a Superlinear Dirichlet Problem in Annulii, Hugo Aduén, Alfonso Castro, and Jorge Cossio
The Tuning of Lou Harrison - Por Gitaro: Suites for Tuned Guitars, performed by John Schneider, Bill Alves
The 99th Fibonacci Identity, Arthur T. Benjamin, Alex K. Eustis '06, and Sean S. Plott '08
A Combinatorial Approach to Fibonomial Coefficients, Arthur T. Benjamin and Sean S. Plott '08
Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott, and James A. Sellers
Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott '08, and James A. Sellers
An Alternate Approach to Alternating Sums: A Method to DIE for, Arthur T. Benjamin and Jennifer J. Quinn
Paint it Black -- A Combinatorial Yawp, Arthur T. Benjamin, Jennifer J. Quinn, James A. Sellers, and Mark A. Shattuck
Competitive Analysis of Online Traffic Grooming in WDM Rings, Karyn Benson, Benjamin Birnbaum, Esteban Molina-Estolano '06, and Ran Libeskind-Hadas
Mathematics in the Mountains: The Park City Mathematics Institute, Andrew J. Bernoff
Computer Modeling and Analysis of Thermal Link Performance for an Optical Refrigerator, Kevin Byram, David Mar, John Parker, Steven Von der Porten, John Hankinson, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers' Equation, Victor Camacho '07, Robert D. Guy, and Jon T. Jacobsen
The Art of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, and Michael E. Orrison Jr.
Are Engineering Schools Masculine and Authoriarian? The Mission Statements Say Yes, Emmeline G. de Pillis and Lisette G. de Pillis
Optimal Control of Mixed Immunotherapy and Chemotherapy of Tumors, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Tiffany Head '06, Kenny Maples '06, Todd Neal, Anand Murugan, and Kenji Kozai '08
Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers, Christopher Eagle, Zhicheng Gao, Mohamed Omar, Daniel Panario, and Bruce Richmond
Dynamic Thiolation–thioesterase Structure of a Non-ribosomal Peptide Synthetase, Dominique P. Frueh, Haribabu Arthanari, Alexander Koglin, David A. Vosburg, Andrew E. Bennett, Christopher T. Walsh, and Gerhard Wagner
Restricted Dislocation Motion in Crystals of Colloidal Dimer Particles, Sharon J. Gerbode, Stephanie H. Lee, Chekesha M. Liddell, and Itai Cohen
The Shapley Value of Phylogenetic Trees, Claus-Jochen Haake, Akemi Kashiwada '05, and Francis E. Su
Borda Meets Pascal, Marie K. Jameson, Gregory Minton '08, and Michael E. Orrison
K-shell Spectroscopy of Plasmas Created by Intense Laser Irradiation of Micron-scale Pyramid and Sphere Targets, S. Kneip, B. I. Cho, D. R. Symes, H. A. Sumeruk, G. Dyer, I. V. Churina, A. V. Belolipetski, A. Henig, O. Wehrhan, E Förster, Thomas D. Donnelly, and T. Ditmire
Synthesis and Assembly of Nonspherical Hollow Silica Colloids Under Confinement, Stephanie H. Lee, Sharon J. Gerbode, Bettina S. John, Angie K. Wolfgang, Fernando A. Escobedo, Itai Cohen, and Chekesha M. Liddell
The Cooperating and Competitive Strategy Research of Tianjin Port, Tianxia Li and Weiqing Gu
New Mechanism for Nonlocality from String Theory: UV-IR Quantum entanglement and its imprints on the CMB, Gregory Minton '08 and Vatche Sahakian
Designs and Optical Tests of Thermal Links for an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
Systematic mistakes are likely in bounded optimal decision-making systems, Nicholas Pippenger and Adi Livnat
Fault Tolerance in Cellular Automata at High Fault Rates, Nicholas Pippenger and Mark McCann
An Update on Cost and Scale-Up Factors, International Inflation and Location Factors, Donald S. Remer, Steve Lin '06, Nancy Yu '07, and Karen Hsin '06
The Cost of Expression of Escherichia coli lac Operon Proteins Is in the Process, Not in the Products, Daniel M. Stoebel, Antony M. Dean, and Daniel E. Dykhuizen
Anti-silencing: Overcoming H-NS-mediated Repression of Transcription in Gram-negative Enteric Bacteria, Daniel M. Stoebel, Andrew Free, and Charles J. Dorman
Constructing Diabatic States from Adiabatic States: Extending Generalized Mulliken–Hush to Multiple Charge Centers with Boys Localization, Joseph E. Subotnik, Robert J. Cave, Sina Yeganeh, and Mark A. Ratner
A Model for Rolling Swarms of Locusts, Chad M. Topaz, Andrew J. Bernoff, Sheldon Logan '06, and Wyatt Toolson '07
Teaching Organic Synthesis: A Comparative Case Study Approach, David A. Vosburg
Mathematics of Voting, Darryl H. Yong
Imagine Math Day: Encouraging Secondary School Students and Teachers to Engage in Authentic Mathematical Discovery, Darryl H. Yong and Michael E. Orrison Jr.
Evolutionarily conserved thermal biology across continents: The North American lizard Plestiodon gilberti (Scincidae) compared to Asian Plestiodon, Mina K. Youssef, Stephen C. Adolph, and Jonathan Q. Richmond
Submissions from 2007
Is a Basketball Free-throw Sequence Nonrandom? A Group Exercise for Undergraduate Statistics Students, Stephen C. Adolph
Domain Relaxation in Langmuir Films, James C. Alexander, Andrew J. Bernoff, Elizabeth K. Mann, J. Adin Mann Jr., Jacob R. Wintersmith '06, and Lu Zou
Behavioural Plasticity in an Ecological Generalist: Microhabitat Use by Western Fence Lizards, Dee A. Asbury and Stephen C. Adolph
Ways in which C(X) mod a Prime Ideal Can be a Valuation Domain; Something Old and Something New, Bikram Banerjee and Melvin Henriksen
The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennet
The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennett
Fibonacci Deteminants - A Combinatorial Approach, Arthur T. Benjamin, Naiomi T. Cameron, and Jennifer J. Quinn
Solution to Problem 1751, A Combinatorial Identity, Arthur T. Benjamin and Andrew Carman '09
A Combinatorial Proof of Vandermonde's Determinant, Arthur T. Benjamin and Gregory P. Dresden
A Combinatorial Solution to Intertwined Recurrences, Arthur T. Benjamin and Michael D. Hirschhorn
Recounting Determinants for a Class of Hessenberg Matrices, Arthur T. Benjamin and Mark A. Shattuck
Testing the Persistence of Phenotypic Plasticity After Incubation in the Western Fence Lizard, Sceloporus Occidentalis, Christine R. Buckley, Maddalena Jackson, Mina Youssef, Duncan J. Irschick, and Stephen C. Adolph
Positive Solutions for Classes of Multiparameter Elliptic Semipositone Problems, Scott Caldwell, Alfonso Castro, Ratnasingham Shivaji, and Sumalee Unsurangsie
Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball, Alfonso Castro, John Kwon, and Chee Meng Tan '07
Seeking Bang-Bang Solutions of Mixed Immuno-Chemotherapy of Tumors, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, and Benjamin Preskill '09
Chemotherapy for Tumors: An Analysis of the Dynamics and a Study of Quadratic and Linear Optimal Controls, Lisette G. de Pillis, Weiqing Gu, K Renee Fister, Tiffany Head '06, Kenny Maples '06, Anand Murugan, Todd Neal, and Kenji Yoshida '08
Teaching Time Savers: Is Homework Grading on Your Nerves?, Lisette G. de Pillis and Michael E. Orrison Jr.
Comment on: A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth, Lisette G. de Pillis, Ami E. Radunskaya, and Charles L. Wiseman
Estimating Fundamental Frequencies of Tall Buildings, Clive L. Dym and Harry E. Williams
Exploring Physical Intuition in Elementary Pressure Vessels, Clive L. Dym and Harry E. Williams
Turing Patterns on Growing Spheres: The Exponential Case, Julijana Gjorgjieva and Jon T. Jacobsen
Removing Sets from Connected Spaces While Preserving Connectedness, Melvin Henriksen and Amir Nikou
SP-Scattered Spaces: A New Generalization of Scattered Spaces, Melvin Henriksen, Robert M. Raphael, and R. G. Woods
Motion-Sensitive 3-D Optical Coherence Microscope Operating at 1300 nm for the Visualization of Early Frog Development, Barbara M. Hoeling, Stephanie S. Feldman, Daniel T. Strenge, Aaron Bernard, Emily R. Hogan, Daniel C. Petersen, Scott E. Fraser, Yun Kee, J. Michael Tyszka, and Richard C. Haskell
As Flat As Possible, Jon T. Jacobsen
Approximations of Continuous Newton's Method: An Extension of Cayley's Problem, Jon T. Jacobsen, Owen Lewis '05, and Bradley Tennis '06
Blues for Gary: Design Abstractions for a Jazz Improvisation Assistant, Robert M. Keller, Martin Hunt '08, Stephen Jones '07, David Morrison '08, and Aaron Wolin '07
Characterization of the Aminocarboxycyclopropane-Forming Enzyme CmaC, Wendy L. Kelly, Michael T. Boyne II, Ellen Yeh, David A. Vosburg, Danica P. Galonić, Neil L. Kelleher, and Christopher T. Walsh
Automated Review of Prerequisite Material for Intermediate-Level Undergraduate Mathematics, Rachel Levy, Michael Shearer, and Padraic Taylor
Gravity-driven Thin Liquid Films with Insoluble Surfactant: Smooth Traveling Waves, Rachel Levy, Michael Shearer, and Thomas P. Witelski
The Phylum Cnidaria: A Review of Phylogenetic Patterns and Diversity 300 Years After Linnaeus, Catherine S. McFadden, Marymegan Daly, Mercer R. Brugler, Paulyn Cartwright, Allen G. Collins, Michael N. Dawson, Daphne G. Fautin, Scott C. France, Dennis M. Opresko, Estefania Rodriguez, Sandra L. Romano, and Joel L. Stake
Neuromechanics: An Integrative Approach for Understanding Motor Control, Kiisa Nishikawa, Andrew A. Biewener, Peter Aerts, Anna N. Ahn, Hillel J. Chiel, Monica A. Daley, Thomas L. Daniel, Robert J. Full, Melina E. Hale, Tyson L. Hedrick, A Kristopher Lappin, T Richard Nichols, Roger D. Quinn, Richard A. Satterlie, and Brett Szymik
Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.
Cost Estimating Certifications Offered by Professional Societies in the United States and Abroad, Donald S. Remer, Karen Ahle, Kevin Alley, John Silny, Karen Hsin, Elijah Kwitman, and Allison Hutchings
Project and Engineering Management Certificates Offered by Professional Organizations, Donald S. Remer, Karen M. Ahle, Kevin J. Alley, John F. Silny, and Karen Hsin
A Fixed Point Theorem for the Infinite-Dimensional Simplex, Douglas Rizzolo '08 and Francis E. Su
Estimating Winning Probabilities in Backgammon Races, Andrew M. Ross, Arthur T. Benjamin, and Michael Munson '94
The LSB Theorem Implies the KKM Lemma, Gwen Spencer '05 and Francis E. Su
Causal Assessment in Small-N Policy Studies, Paul F. Steinberg
Review of Analysis of Phylogenetics and Evolution with R by Emmanuel Paradis, Daniel M. Stoebel
Review of Jewish Tradition and the Challenge of Darwinism, Geoffery Cantor and Marc Swetlitz, eds., Daniel M. Stoebel
Control of Strong-Laser-Field Coupling to Electrons in Solid Targets with Wavelength-Scale Spheres, H. A. Sumeruk, S. Kneip, D. R. Symes, I. V. Churina, A. V. Belolipetski, Thomas D. Donnelly, and T. Ditmire
Hot Electron and X-ray Production from Intense Laser Irradiation of Wavelength-Scale Polystyrene Spheres, H. A. Sumeruk, S. Kneip, D. R. Symes, I. V. Churina, A. V. Belolipetski, G. Dyer, J. Landry, G. Bansal, A. C. Bernstein, Thomas D. Donnelly, A. Karmakar, A. Pukhov, and T. Ditmire
Applying Risk Assessment to Secure the Containerized Supply Chain, Maarten van de Voort, Henry H. Willis, David S. Ortiz, and Susan E. Martonosi