Academic Curriculum Publications Teaching

Gemma Huguet

Gemma Huguet PhD

Investigadora Ramon y Cajal

Contact information

Departament de Matemàtiques
ETSEIB-UPC
Avda. Diagonal 647
08028 Barcelona
Office: H-6.40
Phone: +34-93 401 09 40
Fax: +34-93 401 17 13
E-mail: gemma (dot) huguet (at) upc (dot) edu

Academic Curriculum

My area of reasearch is Dynamical systems and Computational Neuroscience. I obtained my PhD in Applied Mathematics from Universitat Politècnica de Catalunya (Barcelona) in October 2008 with the thesis The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks under the supervision of Prof. Amadeu Delshams and Prof. Antoni Guillamon.

During my PhD. studies I visited the Mathematical Bioscience Institute at Ohio State University under the supervision of Prof. David Terman (Fall 2005) and the Department of Mathematics at University of Texas at Austin under the supervision of Prof. Rafael de la Llave (Fall 2006 and Fall 2007).

During Spring 2008 I was at the Department of Mathematics at University of Texas at Austin as a RESA (Research Engineering Student Assistant) sponsored by NSF Fellowship under the supervision of Prof. Rafael de la Llave

After my PhD I was a postdoctoral fellow at CRM invited by the Research Programmes: "Stability and Instability in Mechanical Systems (SIMS08)" (September to December 2008) and "Mathematical Biology: Modelling and Differential Equations" ( January to June 2009).

In September 2009 I joined John Rinzel's lab at the Center for Neural Science with a scholarship from the i-math project. From September 2011 until December 2012 I was a Courant Instructor partially funded by the Swartz Foundation .

From December 2012 until December 2015 I was a Juan de la Cierva fellow at Departament de Matemàtica Aplicada I at Universitat Politècnica de Catalunya.

Publications

  1. Global phase-amplitude description of oscillatory dynamics via the parameterization method. Chaos 30, 083117, 2020. pdf article arxiv
    Alberto Perez-Cervera, Tere M-Seara and Gemma Huguet.
  2. Modeling the long term effects of thermoregulation on human sleep. Journal of Theoretical Biology 493, 110208, 2020. pdf article
    Selenne Banuelos, Janet Best, Gemma Huguet , Alicia Prieto-Langarica, Pamela B Pyzza, Shelby Wilson.
  3. Phase-locked states in oscillating neural networks and their role in neural communication. Communications in Nonlinear Science and Numerical Simulation 80, 104992, 2020. pdf article arxiv
    Alberto Perez-Cervera, Tere M-Seara and Gemma Huguet.
  4. A geometric approach to Phase Response Curves and its numerical computation through the parameterization method. Journal of Nonlinear Science 29 (6), 2877-2910, 2019. pdf article arxiv
    Alberto Perez-Cervera, Tere M-Seara and Gemma Huguet.
  5. The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. The Journal of Mathematical Neuroscience 9 (1), 7, 2019. article arxiv
    Alberto Perez-Cervera, Peter Ashwin, Gemma Huguet, Tere M-Seara and James Rankin.
  6. Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models. Communications in Nonlinear Science and Numerical Simulation, 70, 48-73, 2019. pdf article arxiv
    Albert Granados and Gemma Huguet.
  7. Quasi-periodic perturbations of heteroclinic attractor networks. Chaos 28(10):103111, 19pp, 2018 (Featured article). article [pdf]
    Amadeu Delshams, Antoni Guillamon and Gemma Huguet .
  8. Computation of invariant curves in the analysis of periodically forced neural oscillators. Nonlinear Systems, Vol. 2: Nonlinear Phenomena in Biology, Optics and Condensed Matter. Archilla, J.F.R. (et al.) (Eds.), Springer, pp 63-81, 2018. book chapter [pdf]
    Alberto Perez-Cervera, Gemma Huguet and Tere M-Seara.
  9. Phasic Firing and Coincidence Detection by Subthreshold Negative Feedback: Divisive or Subtractive or, Better, Both. Frontiers in Computational Neuroscience, 11, 3, 2017. article
    Gemma Huguet , Xiangying Meng, and John Rinzel.
  10. Neuroprotective role of gap junctions in a neuron-astrocyte network model. Biophysical journal 111 (2), 452-462, 2016. article
    Gemma Huguet , Anoushka Joglekar, Leopold Matamba Messi, Richard Buckalew, Sarah Wong, and David Terman.
  11. Effects of Thermoregulation on Human Sleep Patterns: A Mathematical Model of Sleep-Wake Cycles with REM-NREM Subcircuit. Applications of Dynamical Systems in Biology and Medicine , The IMA Volumes in Mathematics and its Applications, Springer-Verlag, 2015. [pdf]
    S. Bañuelos, J. Best, G. Huguet, A. Prieto-Langarica, P. B. Pyzza, M. H. Schmidt, S. Wilson.
  12. Multistability in Perception dynamics. In Encyclopedia of Computational Neuroscience, vol II, Eds Dieter Jaeger, Ranu Jung, Springer, 2014. article
    Gemma Huguet and John Rinzel.
  13. Noise and adaptation in multistable perception: noise drives when to switch, adaptation determines percept choice. Journal of Vision, 14 (3), 2014. article
    Gemma Huguet , John Rinzel and Jean Michel Hupe.
  14. Computation of limit cycles and their isochrons: Fast algorithms and their convergence. SIAM J. Appl. Dyn. Syst., 12(4): 1763-1802, 2013. [article]
    Gemma Huguet and Rafael de la Llave.
  15. Phase-amplitude response functions for transient-state stimuli. The Journal of Mathematical Neuroscience, 3(1), 1-26, 2013. article
    Oriol Castejon, Antoni Guillamon and Gemma Huguet .
  16. Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Proc. of the 9th AIMS conference, Discrete and Continuous Dynamical Systems, Vol 2, 323-333, 2013. [article]
    Gemma Huguet , Rafael de la Llave and Yannick Sire.
  17. Nonlinear Dynamics of Neuronal Excitability, Oscillations, and Coincidence Detection. Communications on Pure and Applied Mathematics, 66(9):1464-1494, 2013. [article]
    John Rinzel and Gemma Huguet .
  18. Type III excitability, slope sensitivity and coincidence dectection. Discrete Contin. Dyn. Syst. - Ser. A, 32: 2729-2757, 2012. [article]
    Xiangying Meng, Gemma Huguet and John Rinzel.
  19. Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Discrete and Continous Dynamical Systems - Series A. Discrete Contin. Dyn. Syst. - Ser. A, 32(4): 1309 - 1353, 2012. [article]
    Gemma Huguet , Rafael de la Llave and Yannick Sire.
  20. The geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems. Journal of differential equations, 250(5): 2601-2623, 2011. [article]
    Amadeu Delshams and Gemma Huguet.
  21. A Computational and Geometric Approach to Phase Resetting Curves and Surfaces. SIAM J. Appl. Dyn. Syst., 8(3): 1005-1042, 2009 [article]
    Antoni Guillamon and Gemma Huguet.
  22. Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems. Nonlinearity, 22(8): 1997-2077, 2009. [article]
    Amadeu Delshams and Gemma Huguet.
  23. PhD Dissertation: The role of hyperbolic invariant objects: From Arnold diffusion to biological clocks (.pdf) Universitat Politecnica de Catalunya, October, 2008
    Advisors: Amadeu Delshams and Antoni Guillamon.

Pre-prints

Teaching

Past semesters

Links

Math and Media