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Submissions from 2019

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Cell Velocity is Asymptotically Independent of Force: A Differential Equation Model with Random Switching., J. C. Dallon, Emily J. Evans, Christopher P. Grant, and William V. Smith

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Stochastic modeling reveals how motor protein and filament properties affect intermediate filament transport, J. C. Dallon, Cecil Leduc, Sandrine Etienne-Manneville, and Stephanie Portet

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Deciphering the transport of elastic filaments by antagonistic motor proteins, Stephanie Portet, Cecil Leduc, Sandrine Etienne-Manneville, and J. C. Dallon

Submissions from 2017

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A continuous time model of centrally controlled motion with random switching terms, J. C. Dallon, L C. Despain, E J. Evans, C P. Grant, and Willaim V. Smith

Submissions from 2014

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A Mathematical Model of Collagen Lattice Contraction, J. C. Dallon, Emily J. Evans, and H Paul Erhlich

Submissions from 2013

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Cell Speed is Independent of Force in a Mathematical Model of Amoeboidal Cell Motion with Random Switching Terms., J. C. Dallon, Emily J. Evans, Christopher Grant, and William V. Smith

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A Force Based Model of Individual Cell Migration with Discrete Attachment Sites and Random Switching Terms, J. C. Dallon, Matthew Scott, and William V. Smith

Submissions from 2011

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Understanding Streaming in Dictyostelium discoideum: Theory versus Experiments, J. C. Dallon, Brittany Dalton, and Chelsea Malani

Submissions from 2010

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Multiscale Modeling of Cellular Systems in Biology, J. C. Dallon

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Differences in the Mechanism of Collagen Lattice Contraction by Myofibroblasts and Smooth Muscle Cells, J. C. Dallon and H P. Ehrlich

Submissions from 2009

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Using a mathematical model of cadherin-based adhesion to understand the function of the actin cytoskeleton, J. C. Dallon, Elijah Newren, and Marc Hansen

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Quasi-Anosov diffeomorphisms of 3-manifolds, Todd L. Fisher and Hertz M. Rodriguez

Submissions from 2008

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A Review of Fibroblast Populated Collagen Lattices, J. C. Dallon and Paul H. Ehrlich

Submissions from 2007

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Constructing subdivision rules from rational maps, J. W. Cannon, W. J. Floyd, and W. R. Parry

Submissions from 2006

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Mathematically modeling the effects of counting factor (CF) in Dictyostelium discoideum, J. C. Dallon, W. Jang, and R. H. Gomer

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Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications, S. McDougall, J. A. Sherratt, P. K. Maini, and J. C. Dallon

Submissions from 2005

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Graphs Whose Minimal Rank is Two: The Finite Fields Case, Wayne Barrett, Hein Van Der Holst, and Raphael Loewy

Submissions from 2004

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How Cellular movement determines the collective force generated by the Dictyostelium discoideum slug, J. C. Dallon and H. G. Othmer

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Hyperbolic Sets That are Not Locally Maximal, Todd L. Fisher

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A thermoviscoelastic beam model for brakes, Kenneth Kuttler, J. Bajkowski, J. R. Fernandez, and M. Shillor

Submissions from 2003

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Minimal graphs in R3 over convex domains, Michael Dorff

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Every three-point set is zero dimensional, David L. Fearnley, J. W. Lamoreaux, and David L. Fearnley

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The Topology of Hyperbolic Attractors on Compact Surfaces, Todd L. Fisher

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Odd perfect numbers have a prime factor exceeding 10^7, Paul M. Jenkins

Submissions from 2001

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Modeling the Effects of Transforming Growth Factor-beta on Extracellular Matrix Alignment in Dermal Wound Repair, J. C. Dallon, J. A. Sherratt, and P. K. Maini

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Blowup in a Mass-Conserving Convection-Diffusion Equation with Superquadratic Nonlinearity, Todd L. Fisher and Christopher P. Grant

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Gravitational Descendants and the Moduli Space of Higher Spin Curves, Tyler J. Jarvis, Takashi Kimura, and Arkady Vaintrob

Submissions from 2000

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Numerical Aspects of Discrete and Continuum Hybrid Models in Cell Biology, J. C. Dallon

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A Mathematical Model for Spatially Varying Extracellular Matrix, J. C. Dallon and J. A. Sherratt

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Biological Implications of a Discrete Mathematical Model for Collagen Deposition and Alignment in Dermal Wound Repair, J. C. Dallon, J. A. Sherratt, P. K. Maini, and M. W. Ferguson

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An Extension of Zermelo's Model for Ranking by Paired Comparisons, Christopher P. Grant and Gregory R. Conner

Submissions from 1999

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Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue Regeneration, J. C. Dallon, J. A. Sherratt, and P. K. Maini

Submissions from 1998

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Recognizing constant curvature discrete groups in dimension 3, J. W. Cannon and E. L. Swenson

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A Continuum Analysis of the Chemotactic Signal Seen by Dictyostelium discoideum, J. C. Dallon and H. G. Othmer

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A Mathematical Model for Fibroblast and Collagen Orientation, J. C. Dallon and J. A. Sherratt

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Some harmonic n-slit mappings, Michael Dorff

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Interior Blowup in a Convection-Diffusion Equation, Christopher P. Grant

Submissions from 1997

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On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle, Kenneth Kuttler, K. T. Andrews, and M. Shillor

Submissions from 1995

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Slow Motion in One-Dimensional Cahn-Morral Systems, Christopher P. Grant

Submissions from 1993

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Precision spectroscopy using the Lamb dip in a pure ion plasma, P. N. Barnes and Grant W. Hart

Submissions from 1991

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The analysis of a model for wave motion in a liquid semiconductor: Boundary interaction and variable conductivity, William V. Smith

Submissions from 1990

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Eigenvalue problems of Ginzburg–Landau operator in bounded domains, Kening Lu and Xing-Bin Pan

Submissions from 1988

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Quasilinear evolution equations in nonclassical diffusion, Kenneth Kuttler and Elias Aifantis