References of "Sacré, Pierre"
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See detailSensitivity analysis of circadian entrainment in the space of phase response curves
Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

in Kulkarni, Vishwesh V.; Stan, Guy-Bart; Raman, Karthik (Eds.) A Systems Theoretic Approach to Systems and Synthetic Biology II: Analysis and Design of Cellular Systems (2014)

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input–output ... [more ▼]

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input–output characteristic of oscillators, we developed a sensitivity analysis for oscillator models in the space of phase response curves. The proposed tool can be applied to high-dimensional oscillator models without facing the curse of dimensionality obstacle associated with numerical exploration of the parameter space. Application of this tool to a state-of-the-art model of circadian rhythms suggests that it can be useful and instrumental to biological investigations. [less ▲]

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See detailSystems analysis of oscillator models in the space of phase response curves
Sacré, Pierre ULg

Doctoral thesis (2013)

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See detailSingularly perturbed phase response curves
Sacré, Pierre ULg; Franci, Alessio ULg; Sepulchre, Rodolphe ULg

Conference (2013, March 26)

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See detailKick synchronization versus diffusive synchronization
Mauroy, Alexandre ULg; Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

in Proceedings of the 51st IEEE Conference on Decision and Control (2012, December)

The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical literature on ... [more ▼]

The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical literature on synchronization, and the (hybrid) kick model, that accounts for most popular examples of synchronization, but for which only few theoretical results exist. The paper stresses fundamental differences between the two models, such as the different contraction measures underlying the analysis, as well as important analogies that can be drawn in the limit of weak coupling. [less ▲]

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See detailMetrics for oscillator models: an input-to-phase approach
Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

Conference (2012, March)

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See detailMatching an oscillator model to a phase response curve
Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

in Proceedings of the Joint 50th IEEE Conference on Decision and Control and European Control Conference (2011, December)

The Phase Response Curve (PRC) has proven a useful tool for the reduction of complex oscillator models. It is also an information often experimentally available to the biologist. This paper introduces a ... [more ▼]

The Phase Response Curve (PRC) has proven a useful tool for the reduction of complex oscillator models. It is also an information often experimentally available to the biologist. This paper introduces a numerical tool based on the sensitivity analysis of the PRC to adapt initial model parameters in order to match a particular PRC shape. We illustrate the approach on a simple biochemical model of circadian oscillator. [less ▲]

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See detailSensitivity analysis of phase response curves
Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

Conference (2011, May 23)

The Phase Response Curve (PRC) has proven a useful tool for the reduction of complex oscillator models to one-dimensional phase models. We introduce the sensitivity analysis of this important mathematical ... [more ▼]

The Phase Response Curve (PRC) has proven a useful tool for the reduction of complex oscillator models to one-dimensional phase models. We introduce the sensitivity analysis of this important mathematical object and its numerical implementation. As an application, we study simple biochemical models of circadian oscillators and discuss how sensitivity analysis helps drawing connections between the state-space model of the oscillator and its phase response curve. [less ▲]

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See detailSensitivity analysis of phase response curves
Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

Conference (2011, March 16)

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See detailMultiple feedback loops in circadian cycles: robustness and entrainment as selection criteria
Hafner, Marc; Sacré, Pierre ULg; Symul, Laura et al

in Proceedings of the Seventh International Workshop on Computational Systems Biology, WCSB 2010 (2010, June)

This paper discusses the contribution of an additional feedback loop to the entrainment and the robustness of a circadian system. To quantify robustness, we perform a global analysis of the system's ... [more ▼]

This paper discusses the contribution of an additional feedback loop to the entrainment and the robustness of a circadian system. To quantify robustness, we perform a global analysis of the system's parameter space. We quantify the parameter region where the circuit displays an experimentally observed behavior, under entrainment. This global measure is comleted with a classification based on the phase response curve (PRC). For two models of circadian rhythms, we found that the one with two loops is more robust than the one with a single loop: the two-loop model shows better resilience to parameter perturbations and it has also a larger region where the PRC matches experimental PRCs of circadian oscillators. [less ▲]

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See detailSelection of circadian clock models for robust entrainment: an analysis based on the phase response curve
Sacré, Pierre ULg; Hafner, Marc; Heinz, Koeppl et al

Conference (2010, March 30)

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See detailControlling the phase of an oscillator: a phase response curve approach
Efimov, Denis; Sacré, Pierre ULg; Sepulchre, Rodolphe ULg

in Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference (2009, December)

The paper discusses elementary control strategies to control the phase of an oscillator. Both feedforward and feedback (P and PI) control laws are designed based on the phase response curve (PRC ... [more ▼]

The paper discusses elementary control strategies to control the phase of an oscillator. Both feedforward and feedback (P and PI) control laws are designed based on the phase response curve (PRC) calculated from the linearized model. The performance is evaluated on a popular model of circadian oscillations. [less ▲]

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See detailDynamique non-linéaire de la molécule d’ADN : modélisation de sa dénaturation
Sacré, Pierre ULg

Master's dissertation (2008)

L’ADN est une molécule fabuleuse et essentielle dont la structure et la fonction sont en étroite relation. Elle est un centre d’intérêt important à la fois pour les biologistes, les chimistes et les ... [more ▼]

L’ADN est une molécule fabuleuse et essentielle dont la structure et la fonction sont en étroite relation. Elle est un centre d’intérêt important à la fois pour les biologistes, les chimistes et les physiciens. Ce travail s’intéresse à la dynamique non-linéaire de la molécule d’ADN et en particulier à l’étude de sa dénaturation. La modélisation a pour but de compléter les résultats expérimentaux pour mieux comprendre les mécanismes sous-jacents. Après une revue des propriétés biologiques de la molécule et des différents modèles proposés dans la littérature scientifiques, nous présentons le modèle de Peyrard-Bishop-Dauxois qui s’intéresse à la dynamique d’étirement transversal des paires de bases. Ce modèle donne comme solutions des excita- tions non-linéaires localisées, breathers, qui décrivent les ouvertures fluctuantes observées pendant le processus de transcription mais aussi dans l’ADN au repos. Nous nous intéressons à leur propagation et aux mécanismes d’interactions avec des inhomogénéités dans la chaîne à la base de leur croissance. Nous analysons la dénaturation thermique en utilisant des outils de physique statistique standard et des simulations numériques de dynamique moléculaire. Le modèle simple est cependant extrêmement riche du point de vue physique car il exhibe un comportement non-linéaire complexe. Il est également très pertinent pour décrire les mouvements de respiration interne de l’ADN et les mécanismes de leur formation et de leur croissance. L’importance de l’ADN et de ses fonctions demande encore de nombreuses investigations. Les directions les plus prometteuses sont l’étude de modèles non-linéaires inhomogènes et des interactions entre l’ADN et son environnement dans le but de faire un pont entre la physique non-linéaire de l’ADN et la médecine. [less ▲]

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