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pro vyhledávání: '"Schaeffer, David G."'
Autor:
Farjoun, Yossi, Schaeffer, David G.
We study the vibrations of a hanging thin flexible rod, in which the dominant restoring force in most of the domain is tension due to the weight of the rod, while bending elasticity plays a small but non-negligible role. We consider a linearized desc
Externí odkaz:
http://arxiv.org/abs/1008.1912
Akademický článek
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Autor:
Zhao, Xiaopeng, Schaeffer, David G., Berger, Carolyn M., Krassowska, Wanda, Gauthier, Daniel J.
Following an electrical stimulus, the transmembrane voltage of cardiac tissue rises rapidly and remains at a constant value before returning to the resting value, a phenomenon known as an action potential. When the pacing rate of a periodic train of
Externí odkaz:
http://arxiv.org/abs/0712.3336
Various authors have shown that, near the onset of a period-doubling bifurcation, small perturbations in the control parameter may result in much larger disturbances in the response of the dynamical system. Such amplification of small signals can be
Externí odkaz:
http://arxiv.org/abs/nlin/0609009
Autor:
Zhao, Xiaopeng, Schaeffer, David G.
Unlike classical bifurcations, border-collision bifurcations occur when, for example, a fixed point of a continuous, piecewise $\mathcal{C}^{1}$ map crosses a boundary in state space. Although classical bifurcations have been much studied, border-col
Externí odkaz:
http://arxiv.org/abs/math/0609106
Autor:
Berger, Carolyn M., Zhao, Xiaopeng, Schaeffer, David G., Dobrovolny, Hana M., Krassowska, Wanda, Gauthier, Daniel J.
We investigate, both experimentally and theoretically, the bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled either as a smooth or as border-collision period-doubling bifurcation. Using a new experimental techniqu
Externí odkaz:
http://arxiv.org/abs/q-bio/0607019
Autor:
Tighe, Brian P., Socolar, Joshua E. S., Schaeffer, David G., Mitchener, W. Garrett, Huber, Mark L.
We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution
Externí odkaz:
http://arxiv.org/abs/cond-mat/0505003
Action potential duration (APD) restitution, which relates APD to the preceding diastolic interval (DI), is a useful tool for predicting the onset of abnormal cardiac rhythms. However, it is known that different pacing protocols lead to different APD
Externí odkaz:
http://arxiv.org/abs/q-bio/0407038
Autor:
Schaeffer, David G., Cain, John W., Gauthier, Daniel J., Kalb, Soma S., Krassowska, Wanda, Oliver, Robert A., Tolkacheva, Elena G.
Many features of the sequence of action potentials produced by repeated stimulation of a cardiac patch can be modeled by a 1D mapping, but not the full behavior observed in the restitution portrait: in particular, not (i) distinct slopes for dynamic
Externí odkaz:
http://arxiv.org/abs/q-bio/0407016
Publikováno v:
SIAM Journal on Applied Mathematics, 2003 Dec 01. 64(2), 583-600.
Externí odkaz:
https://www.jstor.org/stable/4096001