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    Dependency of calcium alternans on Ryanodine Receptor Refractoriness  Open access

     Alvarez Lacalle, Enrique; Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Cinca Cosculluela, Juan; Hove-Madsen, Leif; Echebarria Dominguez, Blas
    PLoS One
    Date of publication: 2013-02-04
    Journal article

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    Background Rapid pacing rates induce alternations in the cytosolic calcium concentration caused by fluctuations in calcium rele However, the relationship between calcium alternans and refractoriness of the SR calcium release channel (RyR2) Methodology/Principal Findings To investigate how ryanodine receptor (RyR2) refractoriness modulates calcium handling on a beat-to-beat basis u used a mathematical rabbit cardiomyocyte model to study the beat-to-beat calcium response as a function of RyR were constructed depicting the beat-to-beat response. When alternans was observed, a novel numerical clamping was caused by oscillations in SR calcium loading or by RyR2 refractoriness. Using this protocol, we identified regio loading or RyR2 refractoriness underlie the induction of calcium alternans, and we found that at the onset of altern inactivation rates of the RyR2, calcium alternans was caused by alternation in SR calcium loading, while at low act level of available RyR2s. Conclusions/Significance We have mapped cardiomyocyte beat-to-beat responses as a function of RyR2 activation and inactivation, identify refractoriness underlie the induction of calcium alternans. A corollary of this work is that RyR2 refractoriness due t of calcium alternans even when alternation in SR calcium load is present.

  • Effect of RyR2 Refractoriness and Hypercalcemia on Calcium Overload, Spontaneous Release, and Calcium Alternans

     Alvarez Lacalle, Enrique; Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Hove-Madsen, Leif; Echebarria Dominguez, Blas
    Computing in Cardiology
    Presentation's date: 2013-09-24
    Presentation of work at congresses

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    In this work we use a computer model of a ventricu- lar rabbit myocyte to study several factors that affect sar- coplasmic reticulum (SR) calcium load, such as hypercal- cemia, SR calcium buffering, or ryanodine receptor (RyR2) dynamics. General conditions for the appearance of cal- cium spontaneous release in situations with calcium over- load are obtained. Furthermore, we study the appearance of alternans under these conditions. The presence of cal- cium alternans may be due to either a steep calcium load release relation, resulting in oscillations in SR Ca content, or to a slow recovery from refractoriness of the RyR2. We find that a change in calsequestrin buffering dynamics or extracellular calcium concentration greatly affects the ap- pearance of the former type of alternans, but not of the latter.

  • Nonlinearities due to Refractoriness in SR Ca Release

     Peñaranda Ayllon, Angelina; Alvarez Lacalle, Enrique; Rodriguez Cantalapiedra, Inmaculada; Echebarria Dominguez, Blas
    Computers in Cardiology
    Date of publication: 2013-01-01
    Journal article

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  • Transient and stochastic dynamics in cellular processes  Open access

     Rue Queralt, Pau
    Defense's date: 2013-07-25
    Department of Applied Physics, Universitat Politècnica de Catalunya
    Theses

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    This Thesis studies different cellular and cell population processes driven by non-linear and stochastic dynamics. The problems addressed here gravitate around the concepts of transient dynamics and relaxation from a perturbed to a steady state. In this regard, in all processes studied, stochastic fluctuations, either intrinsically present in or externally applied to these systems play an important and constructive role, by either driving the systems out of equilibrium, interfering with the underlying deterministic laws, or establishing suitable levels of heterogeneity. The first part of the Thesis is committed the analysis of genetically regulated transient cellular processes. Here, we analyse, from a theoretical standpoint, three genetic circuits with pulsed excitable dynamics. We show that all circuits can work in two different excitable regimes, in contrast to what was previously speculated. We also study how, in the presence of molecular noise, these excitable circuits can generate periodic polymodal pulses due to the combination of two noise induced phenomena: stabilisation of an unstable spiral point and coherence resonance. We also studied an excitable genetic mechanism for the regulation of the transcriptional fluctuations observed in some pluripotency factors in Embryonic Stem cells. In the embryo, pluripotency is a transient cellular state and the exit of cells from it seems to be associated with transcriptional fluctuations. In regard to pluripotency control, we also propose a novel mechanism based on the post-translational regulation of a small set of four pluripotency factors. We have validated the theoretical model, based on the formation of binary complexes among these factors, with quantitative experimental data at the single-cell level. The model suggests that the pluripotency state does not depend on the cellular levels of a single factor, but rather on the equilibrium of correlations between the different proteins. In addition, the model is able to anticipate the phenotype of several mutant cell types and suggests that the regulatory function of the protein interactions is to buffer the transcriptional activity of Oc4, a key pluripotency factor. In the second part of the Thesis we studied the behaviour of a computational cell signalling network of the human fibroblast in the presence of external fluctuations and signals. The results obtained here indicate that the network responds in a nontrivial manner to background chatter, both intrinsically and in the presence of external periodic signals. We show that these responses are consequence of the rerouting of the signal to different network information-transmission paths that emerge as noise is modulated. Finally, we also study the cell population dynamics during the formation of microbial biofilms, wrinkled pellicles of bacteria glued by an extracellular matrix that are one of the simplest cases of self-organised multicellular structures. In this Thesis we develop a spatiotemporal model of cellular growth and death that accounts for the experimentally observed patterns of massive bacterial death that precede wrinkle formation in biofilms. These localised patterns focus mechanical forces during biofilm expansion and trigger the formation of the characteristic ridges. In this sense, the proposed model suggests that the death patterns emerge from the mobility changes in bacteria due to the production of extracellular matrix and the spatially inhomogeneous cellular growth. An important prediction of the model is that matrix productions is crucial for the appearance of the patterns and, therefore for winkle formation. We have also experimentally validated validated this prediction with matrix deficient bacterial strains, which show neither death patterns nor wrinkles.

    En aquesta Tesi s’estudien diferents processos intracel·lulars i de poblacions cel·lulars regits per dinàmica estocàstica i no lineal. El problemes biològics tractats graviten al voltant el concepte de dinàmica transitòria i de relaxació d’un estat dinàmic pertorbat a l’estat estacionari. En aquest sentit, en tots els processos estudiats, les fluctuacions estocàstiques, presents intrínsecament o aplicades de forma externa, hi tenen un paper constructiu, ja sigui empenyent els sistemes fora de l’equilibri, interferint amb les lleis deterministes subjacents, o establint els nivells d’heterogeneïtat necessaris. La primera part de la Tesi es dedica a l’estudi de processos cel·lulars transitoris regulats genèticament. En ella analitzem des d’un punt de vista teòric tres circuits genètics de control de polsos excitables i, contràriament al que s’havia especulat anteriorment, establim que tots ells poden treballar en dos tipus de règim excitable. Analitzem també com, en presència de soroll molecular, aquests circuits excitables poden generar polsos periòdics i multimodals degut a la combinació de dos fenòmens induïts per soroll: l’estabilització estocàstica d’estats inestables i la ressonància de coherència. D’altra banda, estudiem com un mecanisme genètic excitable pot ser el responsable de regular a nivell transcripcional les fluctuacions que s’observen experimentalment en alguns factors de pluripotència en cèl·lules mare embrionàries. En l’embrió, la pluripotència és un estat cel·lular transitori i la sortida de les cèl·lules d’aquest sembla que està associada a fluctuacions transcripcionals. En relació al control de la pluripotència, presentem també un nou mecanisme basat en la regulació post-traduccional d’un petit conjunt de 4 factors de pluripotència. El model teòric proposat, basat en la formació de complexos entre els diferents factors de pluripotència, l’hem validat mitjançant experiments quantitatius en cèl·lules individuals. El model postula que l’estat de pluripotència no depèn dels nivells cel·lulars d’un únic factor, sinó d’un equilibri de correlacions entre diverses proteïnes. A més, prediu el fenotip de cèl·lules mutants i suggereix que la funció reguladora de les interaccions entre les quatre proteïnes és la d’esmorteir l’activitat transcripcional d’Oct4, un dels principals factors de pluripotència. En el segon apartat de la Tesi estudiem el comportament d’una xarxa computacional de senyalització cel·lular de fibroblast humà en presència de senyals externs fluctuants i cíclics. Els resultats obtinguts mostren que la xarxa respon de forma no trivial a les fluctuacions ambientals, fins i tot en presència d’una senyal externa. Diferents nivells de soroll permeten modular la resposta de la xarxa, mitjançant la selecció de rutes alternatives de transmissió de la informació. Finalment, estudiem la dinàmica de poblacions cel·lulars durant la formació de biofilms, pel·lícules arrugades d’aglomerats de bacteris que conformen un dels exemples més simples d’estructures multicel·lulars autoorganitzades. En aquesta Tesi presentem un model espai-temporal de creixement i mort cel·lular motivat per l’evidència experimental sobre l’aparició de patrons de mort massiva de bacteris previs a la formació de les arrugues dels biofilms. Aquests patrons localitzats concentren les forces mecàniques durant l’expansió del biofilm i inicien la formació de les arrugues característiques. En aquest sentit, el model proposat explica com es formen els patrons de mort a partir dels canvis de mobilitat dels bacteris deguts a la producció de matriu extracel·lular combinats amb un creixement espacialment heterogeni. Una important predicció del model és que la producció de matriu és un procés clau per a l’aparició dels patrons i, per tant de les arrugues. En aquest aspecte, els nostres resultats experimentals en bacteris mutants que no produeixen components essencials de la matriu, confirmen les prediccions.

  • Cardiac dynamics: a simplified model for action potential propagation

     Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Bragard, Jean; Echebarria Dominguez, Blas
    Theoretical biology and medical modeling
    Date of publication: 2012-11-29
    Journal article

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    This paper analyzes a new semiphysiological ionic model, used recently to study reexitations and reentry in cardiac tissue [I.R. Cantalapiedra et al, PRE 82 011907 (2010)]. The aim of the model is to reproduce action potencial morphologies and restitution curves obtained, either from experimental data, or from more complex electrophysiological models. The model divides all ion currents into four groups according to their function, thus resulting into fast-slow and inward-outward currents. We show that this simplified model is flexible enough as to accurately capture the electrical properties of cardiac myocytes, having the advantage of being less computational demanding than detailed electrophysiological models. Under some conditions, it has been shown to be amenable to mathematical analysis. The model reproduces the action potential (AP) change with stimulation rate observed both experimentally and in realistic models of healthy human and guinea pig myocytes (TNNP and LRd models, respectively). When simulated in a cable it also gives the right dependence of the conduction velocity (CV) with stimulation rate. Besides reproducing correctly these restitution properties, it also gives a good fit for the morphology of the AP, including the notch typical of phase 1. Finally, we perform simulations in a realistic geometric model of the rabbit¿s ventricles, finding a good qualitative agreement in AP propagation and the ECG. Thus, this simplified model represents an alternative to more complex models when studying instabilities in wave propagation.

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    Nonlinearities due to refractoriness in SR Ca release  Open access

     Peñaranda Ayllon, Angelina; Alvarez Lacalle, Enrique; Rodriguez Cantalapiedra, Inmaculada; Echebarria Dominguez, Blas
    Computers in Cardiology
    Presentation's date: 2012-09-11
    Presentation of work at congresses

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    Calcium alternans is a pro-arrhytmic cardiac dysfunction related to beat-to-beat changes in the amplitude of intracellular calcium transient, that typically occurs at rapid pacing rates. Although oscillations in sarcoplasmic reticulum (SR) content have been related with calcium alternans, the experimental appearance of alternans without these oscillations suggests that another mechanism related with refractoriness of SR calcium release might be key, at least, under certain conditions. We investigate how RyR2 refractoriness modulates calcium handling on a beat-to-beat basis using a numerical rabbit cardiomyocyte model. We find that a slow recovery from inactivation of the RyR2 might be crucial. On one hand, a steep relation between sarcoplasmic reticulum (SR) load and calcium release makes regular calcium cycling unstable at high SR calcium load and/or fast pacing rates, in agreement with previous explanation when RyR2 inactivation is not important. On the other hand, we show that calcium release can also depend strongly on the number of RyR2 ready to open if an important number of RyR2s inactivate after the release. This gives rise to a steep nonlinear relation between the calcium release and the level of recovered RyR2, so that a small change in the later produces big changes in calcium release. A conclusion of this result is that RyR2 refractoriness can be the main nonlinearity behind alternans even when alternation in SR-Ca load is present

  • Effect of Ryanodine Receptor Refractoriness on the Induction of Calcium Alternans

     Alvarez Lacalle, Enrique; Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Hove-Madsen, Leif; Echebarria Dominguez, Blas
    Biophysical journal
    Date of publication: 2012-01-31
    Journal article

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  • Modelización de dinámica cardiaca a distintas escalas

     Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Alvarez Lacalle, Enrique; Echebarria Dominguez, Blas
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  • Calcium alternans produced by increased sarcoplasmic reticulum refractoriness

     Rodriguez Cantalapiedra, Inmaculada; Lugo, Carlos; Peñaranda Ayllon, Angelina; Echebarria Dominguez, Blas
    Computing in Cardiology
    Presentation's date: 2011-09-12
    Presentation of work at congresses

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    Despite the important role of electro-mechanical alternans in cardiac arrhythmogenesis, its molecular origin is not well understood. In this paper we want to study alternans that can be associated with alternations in the cytosolic calcium transient. To this end we study particularly, how a malfunction of Ryanodine Receptor (RyR) recovery time from inactivation may induce beatto- beat alternations in intracellular calcium concentration and how this could affect the stimulus propagation in inhomogeneous tissue, whose cells exhibit different calcium dynamics.

  • Supernormal conduction in cardiac tissue promotes concordant alternans and action potential bunching

     Echebarria Dominguez, Blas; Roeder, Georg; Engel, Harald; Davidsen, Joern; Baer, Markus
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2011-04-04
    Journal article

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  • Slow pulse due to calcium current induces phase-2 reentry in heterogeneous tissue

     Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Echebarria Dominguez, Blas
    Computing in Cardiology
    Presentation's date: 2010-09-28
    Presentation of work at congresses

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    Phase-2 reentry in cardiac tissue: role of the slow calcium pulse  Open access

     Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Echebarria Dominguez, Blas; Bragard, Jean
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2010-07-13
    Journal article

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    Phase-2 re-entry is thought to underlie many causes of idiopathic ventricular arrhythmias as, for instance, those occurring in Brugada syndrome. In this paper, we study under which circumstances a region of depolarized tissue can re-excite adjacent regions that exhibit shorter action potential duration (APD), eventually inducing reentry. For this purpose, we use a simplified ionic model that reproduces well the ventricular action potential. With the help of this model, we analyze the conditions that lead to very short action potentials (APs), as well as possible mechanisms for re-excitation in a cable. We then study the induction of re-entrant waves (spiral waves) in simulations of AP propagation in the heart ventricles. We show that re-excitation takes place via a slow pulse produced by calcium current that propagates into the region of short APs until it encounters excitable tissue. We calculate analytically the speed of the slow pulse, and also give an estimate of the minimal tissue size necessary for allowing reexcitation to take place.

  • Onset of sidebranching in directional solidification

     Echebarria Dominguez, Blas; Karma, Alain; Gurevich, Sebastian
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2010-02-26
    Journal article

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  • Characterization of the nonlinear content of the heart rate dynamics during myocardial ischemia

     Benitez Iglesias, Raul; Alvarez Lacalle, Enrique; Echebarria Dominguez, Blas; Gomis Román, Pedro; Vallverdú Ferrer, Montserrat; Caminal Magrans, Pedro
    Medical engineering and physics
    Date of publication: 2009-07
    Journal article

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  • Growth kinetics of nanometric dendrites in metal-carbon thin films

     Corbella, C; Echebarria Dominguez, Blas; Ramirez de La Piscina Millan, Laureano; Pascual, E; Bertran, Enric; González Andujar, José Luis
    Acta materialia
    Date of publication: 2009-10
    Journal article

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  • MODELOS Y CATACTERIZACIÓN DE DINÁMICA CARDIACA

     Echebarria Dominguez, Blas; Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Alvarez Lacalle, Enrique
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  • REMODELLING OF ADENOSINE RECEPTORS IN HUMAN ATRIAL FIBRILLATION

     Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Alvarez Lacalle, Enrique; Echebarria Dominguez, Blas
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  • Global coupling in excitable media provides a simplified description of mechanoelectrical feedback in cardiac tissue

     Alvarez Lacalle, Enrique; Echebarria Dominguez, Blas
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2009-03
    Journal article

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  • Reexcitation mechanisms in epicardial tissue: role of Ito density heterogeneities and INa inactivation kinetics

     Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Mont Girbau, Lluís; Brugada Terradellas, Josep; Echebarria Dominguez, Blas
    Journal of theoretical biology
    Date of publication: 2009-08-18
    Journal article

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  • Mechanisms for Initiation of Cardiac Discordant Alternans

     Echebarria Dominguez, Blas
    Congreso de Física Estadística
    Presentation's date: 2008-03-27
    Presentation of work at congresses

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  • Properties of Cardiac Discordant Alternans

     Echebarria Dominguez, Blas
    SIAM Conference on Nonlinear Waves and Coherent Structures
    Presentation's date: 2008-07-21
    Presentation of work at congresses

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  • Modelling cardiac dynamics: What can simple models teach us?

     Echebarria Dominguez, Blas
    Second ESF FUNCDYN Conference on Functional Dynamics
    Presentation's date: 2008-09-15
    Presentation of work at congresses

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  • Mecanismos de reexcitación en tejido cardiaco.

     Peñaranda Ayllon, Angelina; Echebarria Dominguez, Blas; Rodriguez Cantalapiedra, Inmaculada
    Congreso de Física Estadística
    Presentation of work at congresses

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  • Mecanismos de reexcitación en tejido cardiaco.

     Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Echebarria Dominguez, Blas
    NoLineal 2008
    Presentation of work at congresses

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  • Modelització matemàtica de la dinàmica cardíaca

     Echebarria Dominguez, Blas
    Omnis cellula
    Date of publication: 2008-10
    Journal article

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  • Oscillatory Regime in Excitatory Media with Global Coupling: Application to Cardiac Dynamics

     Alvarez Lacalle, Enrique; Rodriguez, Jf; Echebarria Dominguez, Blas
    Computers in cardiology
    Date of publication: 2008-12
    Journal article

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  • Cardiac dynamics:Modeling the Brugada syndrome

     Rodriguez Cantalapiedra, Inmaculada; Peñaranda Ayllon, Angelina; Echebarria Dominguez, Blas
    International Conference on Science and Technology
    Presentation of work at congresses

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  • Mechanisms for initiation of cardiac discordant alternans

     Echebarria Dominguez, Blas; Karma, Alain
    European physical journal. Special topics
    Date of publication: 2007-07
    Journal article

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  • Amplitude equation approach to spatiotemporal dynamics of cardiac alternans

     Echebarria Dominguez, Blas; Karma, Alain
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2007-11
    Journal article

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  • Nonequilibrium ribbon model of twisted scroll waves

     Echebarria Dominguez, Blas; Hakim, V; Henry, H
    Physical review letters
    Date of publication: 2006-03
    Journal article

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  • Spontaneous formation of nanometric multilayers of metal-carbon films by up-hill diffusion during growth

     Corbella, C; Echebarria Dominguez, Blas; Ramirez de La Piscina Millan, Laureano; Pascual, E; González Andujar, José Luis; Bertran, Enric
    Applied physics letters
    Date of publication: 2005-11
    Journal article

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  • Grup de Turbulencia, Fluctuacions i Difusió (Ayuda para grupos de investigación consolidados)

     Ramirez de La Piscina Millan, Laureano; Platonov, Alexei; Carrillo Cortes, Jose Alejandro; Sekula, Emil; Peñaranda Ayllon, Angelina; Echebarria Dominguez, Blas; Auguet Sangra, Carlota Eugenia; Meca Alvarez, Esteban; Cami Babra, Enrique; Castilla Lopez, Roberto; Rodriguez Cantalapiedra, Inmaculada; Grau Barcelo, Joan; Lacasta Palacio, Ana Maria; Redondo Apraiz, Jose Manuel; Sanchez Ariz, Miguel A.; Benitez Iglesias, Raul; Gonzalez Cinca, Ricardo
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  • Modelos de dinámica cardiaca.

     Echebarria Dominguez, Blas; Peñaranda Ayllon, Angelina; Rodriguez Cantalapiedra, Inmaculada; Alvarez Lacalle, Enrique
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  • Reduced vs. full dynamics for scroll waves with homogeneous or varying excitability

     Echebarria Dominguez, Blas
    47th British Applied Mathematics Colloquim
    Presentation's date: 2005-04-04
    Presentation of work at congresses

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  • Reduced model for twist induced instabilities of scroll waves

     Echebarria Dominguez, Blas
    SIAM Conference on Applications of Dynamical Systems
    Presentation's date: 2005-05-22
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  • Necessity of investigating microstructure formation during directional solidification of transparent alloys in 3D

     Bergeon, N; Trivedi, R; Billia, B; Echebarria Dominguez, Blas; Karma, A; Liu, S; Weiss, C; Mangelinck, N
    Advances in space research
    Date of publication: 2005-02
    Journal article

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  • Microstructural Scaling Relationships in Cellular Patterns

     Trivedi, R; Liu, S; Echebarria Dominguez, Blas; Karma, A
    Solidification Processes and Microstructures- A Symposium in Honor of Wilfried Kurz
    Presentation of work at congresses

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  • FIS2004-02570 DINAMICA ESPACIO-TEMPORAL Y APLICACIONES BIOLOGICAS DE MEDIOS EXCITABLES

     Echebarria Dominguez, Blas
    Participation in a competitive project

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  • Mechanisms for the initiation of cardiac alternans

     Echebarria Dominguez, Blas
    Nonequilibrium Physics: from complex fluids to Biological Systems
    Presentation's date: 2004-09-11
    Presentation of work at congresses

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  • Quantitative Phase-Field Model of Alloy Solidification

     Echebarria Dominguez, Blas; Roger, Folch; Alain, Karma; Mathis, Plapp
    Physical review E, statistical physics, plasmas, fluids, and related interdisciplinary topics
    Date of publication: 2004-12
    Journal article

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  • Hydrothermal waves and corotating rolls in laterally heated convection in simple liquids

     Perez-Garcia, C; Madruga, S; Echebarria Dominguez, Blas; Lebon, G; Burguete, J
    Journal of non-equilibrium thermdynamics
    Date of publication: 2004-12
    Journal article

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  • Spatiotemporal control of cardiac alternans

     Echebarria Dominguez, Blas; Karma, Alain
    Chaos
    Date of publication: 2002
    Journal article

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    Instability and spatiotemporal dynamics of alternans in paced cardiac tissue  Open access

     Echebarria Dominguez, Blas; Karma, Alain
    Physical review letters
    Date of publication: 2002
    Journal article

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    We derive an equation that governs the spatiotemporal dynamics of small amplitude alternans in paced cardiac tissue. We show that a pattern-forming linear instability leads to the spontaneous formation of stationary or traveling waves whose nodes divide the tissue into regions with opposite phase of oscillation of action potential duration. This instability is important because it creates dynamically a heterogeneous electrical substrate for the formation of conduction blocks and the induction of fibrillation if the tissue size exceeds a fraction of the pattern wavelength. We derive an analytical expression for this wavelength as a function of three basic length scales related to dispersion and intercellular electrical coupling.

  • Sideband instabilities and defects of quasipatterns

     Echebarria Dominguez, Blas; Riecke, Hermann
    Physica. D, Nonlinear phenomena
    Date of publication: 2001
    Journal article

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  • Stability of hexagonal patterns in Bénard-Marangoni convection

     Echebarria Dominguez, Blas; Pérez García, Carlos
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 2001
    Journal article

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  • Stability of oscillating hexagons in rotating convection

     Echebarria Dominguez, Blas; Riecke, Hermann
    Physica. D, Nonlinear phenomena
    Date of publication: 2000
    Journal article

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  • Defect chaos of oscillating hexagons in rotating convection

     Echebarria Dominguez, Blas; Riecke, Hermann
    Physical review letters
    Date of publication: 2000
    Journal article

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  • Instabilities of hexagonal patterns with broken chiral symmetry

     Echebarria Dominguez, Blas; Riecke, Hermann
    Physica. D, Nonlinear phenomena
    Date of publication: 2000
    Journal article

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  • Thermal properties in surface-tension-driven convection

     Pérez García, Carlos; Echebarria Dominguez, Blas; Bestehorn, Michael
    Physical review E: statistical, nonlinear, and soft matter physics
    Date of publication: 1998
    Journal article

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  • Phase instabilities in hexagonal patterns

     Echebarria Dominguez, Blas; Pérez García, Carlos
    Europhysics letters
    Date of publication: 1998
    Journal article

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