Publications
Blas Echebarria
Preprints
Cardiac Dynamics: A Simplified Model for Action Potential Propagation
A. Peñaranda, I.R. Cantalapiedra, J. Bragard, and B. Echebarria, submitted to Journal of Theoretical Biology
Papers in refereed
journals
Supernormal conduction in cardiac tissue promotes concordant alternans and action potential bunching
B. Echebarria, G. Röder, H. Engel, J. Davidsen, and M. Bär
Physical Review E 83, R040902 (2011).
Phase-2 reentry in cardiac tissue: Role of the slow calcium pulse
I.R. Cantalapiedra, A. Peñaranda, B. Echebarria, and J. Bragard
Physical Review E 82, 011907 (2010).
Onset of sidebranching
in directional solidification
B. Echebarria,
A. Karma, and S. Gurevich
Physical Review E 81, 021608 (2010).
Growth kinetics of nanometric dendrites in metal-carbon thin films
C. Corbella, B. Echebarria, L. Ramírez-Piscina, E. Pascual,
J-L. Andújar, and E. Bertran
Acta Materialia 57, 4948-4956 (2009).
Reexcitation mechanisms in epicardial tissue: Role of Ito density heterogeneities and
INa inactivation kinetics
I.R. Cantalapiedra, A. Peñaranda, L. Mont, J. Brugada, and B. Echebarria
Journal of Theoretical Biology 259, 850-859 (2009).
Characterization of the nonlinear content of the heart rate
dynamics during myocardial ischemia
R. Benitez, E. Alvarez-Lacalle, B. Echebarria, P. Gomis, M. Vallverdu, and P. Caminal
Medical Engineering & Physics 31, 660-667 (2009).
Global coupling in excitable media provides a simplified description of mechano-electrical feedback in cardiac tissue
E. Alvarez-Lacalle and B. Echebarria
Physical Review E 79, 031921 (2009).
Amplitude equation approach to spatiotemporal dynamics of cardiac alternans
B. Echebarria , A. Karma
Physical Review E 76, 051911 (2007).
Mechanisms for initiation of cardiac discordant alternans
B. Echebarria , A. Karma
European Physical Journal Special Topics 146, 217-231 (2007).
Nonequilibrium Ribbon Model of Twisted Scroll Waves
B. Echebarria, V. Hakim, and H. Henry
Physical Review Letters 96, 098301 (2006).
Spontaneous formation of nanometric multilayers of metal-carbon films by
up-hill diffusion during growth
C. Corbella, B. Echebarria,
L. Ramírez-Piscina, E. Pascual, J-L.
Andújar, and E. Bertran
Applied Physics Letters 87, 213117 (2005).
Necessity of investigating microstructure formation during directional solidification
of transparent alloys in 3D
N. Bergeon, R. Trivedi, B. Billia, B. Echebarria, A. Karma, S. Liu, C. Weiss, and
N. Mangelinck
Advances in Space Research 36, 80-85 (2005).
In Situ Characterization of Interface-Microstructure Dynamics in
3D-Directional Solidification of Model Transparent Alloys
R. Trivedi, N. Bergeon, B. Billia, B. Echebarria, A Karma, S. Liu,
N. Mangelinck and C. Weiss
Microgravity Science and Technology 16, 133-137 (2005).
Quantitative phase-field
model of alloy solidification
B. Echebarria, R.
Folch, A. Karma, and M. Plapp,
Physical Review E
70, 061604 (2004).
Hydrothermal waves
and corotating rolls in laterally heated
convection in simple liquids
C. Pérez-García,
S. Madruga, B. Echebarria, G. Lebon, and
J. Burguete,
J. of Non-equilibrium
Thermodynamics 29, 377-388 (2004).
Spatiotemporal Control
of Cardiac Alternans
B. Echebarria and
A. Karma,
Chaos 12, 923-930
(2002).
Instability and
Spatiotemporal Dynamics of Alternans in
Paced Cardiac Tissue
B. Echebarria and
A. Karma,
Physical Review Letters
88 208101, 2002.
Sideband Instabilities
and Defects of Quasipatterns
B. Echebarria and
H. Riecke.
Physica D 158, 45-68,
2001.
Stability of Hexagonal
Patterns in Bénard-Marangoni convection
B. Echebarria and
C. Pérez-García.
Physical Review E
63, 066307, 2001.
Stability of Oscillating
Hexagons in Rotating Convection
B. Echebarria and
H. Riecke.
Physica D 143, 187-204,
2000.
Defect Chaos of
Oscillating Hexagons in Rotating Convection
B. Echebarria and
H. Riecke.
Physical Review Letters 84, 4838-4841, 2000.
Instabilities of
hexagonal patterns with broken chiral symmetry
B. Echebarria and
H. Riecke.
Physica D 139, 97-108,
2000.
Phase instabilities
in hexagonal patterns
B. Echebarria and
C. Pérez-García.
Europhysics Letters
43, 35-40, 1998.
Thermal properties
in surface-tension-driven convection
C. Pérez-García,
B. Echebarria and M. Bestehorn
Physical Review E
57, 475-481, 1998.
Resonant interactions
in Bénard-Marangoni convection in
cylindrical containers
B. Echebarria, D. Krmpotic and C. Pérez-García
Physica D 99, 487-502, 1997.
Bénard-Marangoni
convection in small aspect ratio containers
D. Maza, B. Echebarria,
C. Pérez-García and H. Mancini.
Physica Scripta 67,
82-85, 1996.
Articles in proceedings
Slow Pulse due to Calcium Current induces Phase-2 Reentry in Heterogeneous Tissue
A. Peñaranda, I.R. Cantalapiedra, B. Echebarria
Computing in Cardiology 2010, 661 (2010).
Oscillatory Regime in Excitatory Media with Global Coupling: Application to Cardiac Dynamics
E. Alvarez-Lacalle, J.F. Rodriguez,B. Echebarria
Computers in Cardiology 2008, 189-192 (2008).
Microstructural
Scaling Relationships in Cellular Patterns
R. Trivedi, S. Liu,
B. Echebarria, and A. Karma.
"Solidication processes and microstructures:
A Symposium in Honor of Prof. W. Kurz'',
M. Rappaz, C. Beckermann, and R. Trivedi,
editors (TMS press), 2004.
Stability of hexagonal
patterns in a generalized Swift-Hohenberg
equation
C. Pérez-García,
B. Peña and B. Echebarria.
"Space-Time Chaos:
Characterization, Control and Synchronization''
World Scientific, Singapur, 123-135, 2001.
Instabilities and
Defect Chaos in Models for Rotating Non-Boussinesq
Convection
H. Riecke, B. Echebarria, V. Moroz and F.
Sain.
Proceedings of the 18th Symposium on Energy
Engineering Sciences, Argonne National Lab.,
May 2000.
Bénard Cells: A Centennial
Puzzle
C. Pérez-García and B. Echebarria.
"Instabilities and Nonequilibrium Structures
VI" (Valparaíso, 1995), 165-176,
E. Tirapegui and W. Zeller, eds. (Kluwer,
Dordrecht, 2000).
Bénard
instability: A century later
C. Pérez-García
and B. Echebarria.
"Des Phénomènes
Critiques au Chaos" (Colloque scientifique
à la mèmoire de Pierre Bergé).
P. Manneville editor, CEA, Saclay, 113-122,
1998.
Popular Science Articles
Modelització matemàtica de la dinàmica cardíaca
B. Echebarria
Omnis Cellula 18, 16-21 (2008).
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