Ara es mostren els items 5-24 de 27

    • Computation of invariant curves in the analysis of periodically forced neural oscillators 

      Pérez Cervera, Alberto; Huguet Casades, Gemma; Martínez-Seara Alonso, M. Teresa (Springer, 2018)
      Capítol de llibre
      Accés obert
      Background oscillations, reflecting the excitability of neurons, are ubiq- uitous in the brain. Some studies have conjectured that when spikes sent by one population reach the other population in the peaks of excitability, ...
    • Computation of limit cycles and their isochrons: Fast algorithms and their convergence 

      Huguet Casades, Gemma; Llave Canosa, Rafael de la (2013)
      Article
      Accés restringit per política de l'editorial
      We present efficient algorithms to compute limit cycles and their isochrons (i.e., the sets of points with the same asymptotic phase) for planar vector fields. We formulate a functional equation for the parameterization ...
    • Dones i Matemàtiques 

      Gomez, G.; Fernández Méndez, Sonia; Casanellas Rius, Marta; Huguet Casades, Gemma; Garrote López, Marina (2015-03-11)
      Audiovisual
      Accés obert
      L'objectiu d'aquesta taula rodona és abordar la situació de les dones en el camp de les matemàtiques. Tot i que actualment l'activitat matemàtica de les dones és més gran que mai, encara són poques les dones que es dediquen ...
    • Effects of thermoregulation on human sleep patterns: A mathematical model of sleep-wake cycles with REM-NREM subcircuit 

      Bañuelos, Selenne; Best, Janet; Huguet Casades, Gemma; Prieto-Langarica, Alicia; Pyzza, Pamela; Schmidt, Markus; Wilson, Shelby (2015)
      Capítol de llibre
      Accés obert
      In this paper we construct a mathematical model of human sleep/wake regulation with thermoregulation and temperature e ects. Simulations of this model show features previously presented in experimental data such as elongation ...
    • Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems 

      Delshams Valdés, Amadeu; Huguet Casades, Gemma (2008-12-08)
      Article
      Accés obert
      In the present paper we consider the case of a general $\cont{r+2}$ perturbation, for $r$ large enough, of an a priori unstable Hamiltonian system of $2+1/2$ degrees of freedom, and we provide explicit conditions on it, ...
    • Global phase-amplitude description of oscillatory dynamics via the parameterization method 

      Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (Institute of Physics (IOP), 2020-08-01)
      Article
      Accés obert
      In this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction. The parameterization method allows us, via efficient ...
    • Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models 

      Granados Corsellas, Albert; Huguet Casades, Gemma (2019-05-01)
      Article
      Accés obert
      In this work we consider a general class of 2-dimensional hybrid systems. Assuming that the system possesses an attracting equilibrium point, we show that, when periodically driven with a square-wave pulse, the system ...
    • Modeling the long term effects of thermoregulation on human sleep 

      Bañuelos, Selenne; Best, Janet; Huguet Casades, Gemma; Prieto-Langarica, Alicia; Pyzza, Pamela; Wilson, Shelby (2020-05-21)
      Article
      Accés obert
      The connection between human sleep and energy exertion has long been regarded as part of the reasoning for the need to sleep. A recent theory proposes that during REM sleep, energy utilized for thermoregulation is diverted ...
    • MODELS MATEMÀTICS EN BIOLOGIA | FINAL 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Huguet Casades, Gemma; Ponce Álvarez, Adrián Fernando (Universitat Politècnica de Catalunya, 2023-12-19)
      Examen
      Accés restringit a la comunitat UPC
    • Neuroprotective Role of Gap Junctions in a Neuron Astrocyte Network Model 

      Huguet Casades, Gemma; Joglekar, Anoushka; Messi, Leopold Matamba; Buckalew, Richard; Wong, Sarah; Terman, David (2016-07-26)
      Article
      Accés obert
      A detailed biophysical model for a neuron/astrocyte network is developed to explore mechanisms responsible for the initiation and propagation of cortical spreading depolarizations and the role of astrocytes in maintaining ...
    • Noise and adaptation in multistable perception: noise drives when to switch, adaptation determines percept choice. 

      Huguet Casades, Gemma; Rinzel, John; Hupé, Jean-Michel (2014-03-13)
      Article
      Accés obert
      We study the dynamics of perceptual switching in ambiguous visual scenes that admit more than two interpretations/percepts to gain insight into the dynamics of perceptual multistability and its underlying neural mechanisms. ...
    • Phase-amplitude response functions for transient-state stimuli 

      Castejón i Company, Oriol; Guillamon Grabolosa, Antoni; Huguet Casades, Gemma (2013-08)
      Article
      Accés obert
      The phase response curve (PRC) is a powerful tool to study the effect of a perturbation on the phase of an oscillator, assuming that all the dynamics can be explained by the phase variable. However, factors like the rate ...
    • Phase-locked states in oscillating neural networks and their role in neural communication 

      Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (2020-01-01)
      Article
      Accés obert
      The theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication between two oscillating neural populations ...
    • Phase-locking patterns underlying effective communication in exact firing rate models of neural networks 

      Huguet Casades, Gemma; Reyner Parra, David (Public Library of Science (PLOS), 2022-05-18)
      Article
      Accés obert
      Macroscopic oscillations in the brain have been observed to be involved in many cognitive tasks but their role is not completely understood. One of the suggested functions of the oscillations is to dynamically modulate ...
    • Phasic firing and coincidence detection by subthreshold negative feedback: divisive or subtractive or, better, both 

      Huguet Casades, Gemma; Meng, Xiangying; Rinzel, John (2017-02-02)
      Article
      Accés obert
      Phasic neurons typically fire only for a fast-rising input, say at the onset of a step current, but not for steady or slow inputs, a property associated with type III excitability. Phasic neurons can show extraordinary ...
    • Quasiperiodic perturbations of heteroclinic attractor networks 

      Delshams Valdés, Amadeu; Guillamon Grabolosa, Antoni; Huguet Casades, Gemma (Institute of Physics (IOP), 2018-10-01)
      Article
      Accés obert
      We consider heteroclinic attractor networks motivated by models of competition between neural populations during binocular rivalry. We show that gamma distributions of dominance times observed experimentally in binocular ...
    • SISTEMES DINÀMICS 

      Huguet Casades, Gemma; Puig Sadurní, Joaquim (Universitat Politècnica de Catalunya, 2019-01-18)
      Examen
      Accés restringit a la comunitat UPC
    • SISTEMES DINÀMICS | FINAL 

      Huguet Casades, Gemma; Puig Sadurní, Joaquim (Universitat Politècnica de Catalunya, 2022-01-18)
      Examen
      Accés restringit a la comunitat UPC
    • SISTEMES DINÀMICS | FINAL 

      Puig Sadurní, Joaquim; Huguet Casades, Gemma (Universitat Politècnica de Catalunya, 2021-01-18)
      Examen
      Accés restringit a la comunitat UPC
    • The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks 

      Huguet Casades, Gemma (Universitat Politècnica de Catalunya, 2008-10-16)
      Tesi
      Accés obert
      El marc d'aquesta tesi són els objectes invariants hiperbòlics (tors amb bigotis, cicles límit, NHIM,. . .), que constitueixen, per aquesta tesi, els objectes essencials per a l'estudi de diversos problemes des de la difusió ...