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Items: 20

1.

Principles that govern competition or co-existence in Rho-GTPase driven polarization.

Chiou JG, Ramirez SA, Elston TC, Witelski TP, Schaeffer DG, Lew DJ.

PLoS Comput Biol. 2018 Apr 12;14(4):e1006095. doi: 10.1371/journal.pcbi.1006095. eCollection 2018 Apr.

2.

Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology.

Barker T, Schaeffer DG, Shearer M, Gray JMNT.

Proc Math Phys Eng Sci. 2017 May;473(2201):20160846. doi: 10.1098/rspa.2016.0846. Epub 2017 May 3.

3.

Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway.

Gonzales K, Kayıkçı O, Schaeffer DG, Magwene PM.

BMC Syst Biol. 2013 May 17;7:40. doi: 10.1186/1752-0509-7-40.

4.

Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans.

Dai S, Schaeffer DG.

Chaos. 2010 Jun;20(2):023131. doi: 10.1063/1.3456058.

5.

Asymptotic approximation of an ionic model for cardiac restitution.

Schaeffer DG, Ying W, Zhao X.

Nonlinear Dyn. 2008 Jan;51(1-2):189-198.

6.

Shortening of cardiac action potential duration near an insulating boundary.

Cain JW, Schaeffer DG.

Math Med Biol. 2008 Mar;25(1):21-36. doi: 10.1093/imammb/dqn002. Epub 2008 Mar 14.

7.

Two-Term Asymptotic Approximation of a Cardiac Restitution Curve.

Cain JW, Schaeffer DG.

SIAM Rev Soc Ind Appl Math. 2006;48(3):537-546.

8.

Alternate Pacing of Border-Collision Period-Doubling Bifurcations.

Zhao X, Schaeffer DG.

Nonlinear Dyn. 2007 Nov;50(3):733-742.

9.

Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics.

Berger CM, Zhao X, Schaeffer DG, Dobrovolny HM, Krassowska W, Gauthier DJ.

Phys Rev Lett. 2007 Aug 3;99(5):058101. Epub 2007 Jul 30.

10.

Small-Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps.

Zhao X, Schaeffer DG, Berger CM, Gauthier DJ.

Nonlinear Dyn. 2007 Jun;48(4):381-389.

11.

An ionically based mapping model with memory for cardiac restitution.

Schaeffer DG, Cain JW, Gauthier DJ, Kalb SS, Oliver RA, Tolkacheva EG, Ying W, Krassowska W.

Bull Math Biol. 2007 Feb;69(2):459-82. Epub 2007 Jan 20.

12.

Force distributions in a triangular lattice of rigid bars.

Tighe BP, Socolar JE, Schaeffer DG, Mitchener WG, Huber ML.

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 1):031306. Epub 2005 Sep 23.

PMID:
16241425
13.

Restitution in mapping models with an arbitrary amount of memory.

Kalb SS, Tolkacheva EG, Schaeffer DG, Gauthier DJ, Krassowska W.

Chaos. 2005 Jun;15(2):23701.

PMID:
16035891
14.

Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber.

Cain JW, Tolkacheva EG, Schaeffer DG, Gauthier DJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Dec;70(6 Pt 1):061906. Epub 2004 Dec 15.

PMID:
15697401
15.

A two-current model for the dynamics of cardiac membrane.

Mitchell CC, Schaeffer DG.

Bull Math Biol. 2003 Sep;65(5):767-93.

PMID:
12909250
16.

Analysis of the Fenton-Karma model through an approximation by a one-dimensional map.

Tolkacheva EG, Schaeffer DG, Gauthier DJ, Mitchell CC.

Chaos. 2002 Dec;12(4):1034-1042.

PMID:
12779627
17.

Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics.

Tolkacheva EG, Schaeffer DG, Gauthier DJ, Krassowska W.

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Mar;67(3 Pt 1):031904. Epub 2003 Mar 12.

PMID:
12689098
18.

Force distribution in a scalar model for noncohesive granular material.

Sexton MG, Socolar JE, Schaeffer DG.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt B):1999-2008.

PMID:
11969992
19.

Directed force chain networks and stress response in static granular materials.

Socolar JE, Schaeffer DG, Claudin P.

Eur Phys J E Soft Matter. 2002 Apr;7(4):353-70. doi: 10.1140/epje/i2002-10011-7.

PMID:
27638167
20.

Granular friction, Coulomb failure, and the fluid-solid transition for horizontally shaken granular materials.

Metcalfe G, Tennakoon SG, Kondic L, Schaeffer DG, Behringer RP.

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 1):031302. Epub 2002 Feb 11.

PMID:
11909041

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