Alfonso Bueno Orovio Home Page
 
Research interests
  • Cardiac computational electrophysiology:
    • Reduced models in cardiac electrophysiology
    • Computer modeling of cardiac arrhythmias
    • Non-linear dynamics of spiral waves in reaction-diffusion equations
  • Numerical methods for partial differential equations:
    • Spectral embedded methods for partial differential equations in irregular regions
    • Spectral methods for nonlinear wave equations
    • Wavelets collocation methods for reaction-diffusion equations

 

Ph.D. Dissertation
  1. "Mathematical modeling and spectral simulation of genetic diseases in the human heart". Defended May 21, 2007. Download (8.3 MB).

 

Research papers
  1. "Mapped Chebyshev pseudospectral method to study multiple scale phenomena". A. Alexandrescu, A. Bueno Orovio, J. R. Salgueiro and V. M. Pérez García. SIAM J. Sci. Comput. (submitted). Preprint.
  2. "Fourier embedded domain methods: periodic and $C^\infty$ extension of a function defined on an irregular region to a rectangle via convolution with Gaussian kernels". A. Bueno Orovio. App. Math. Comp., 183 (2006), 813-818. Preprint / Paper.
  3. "Enhanced box and prism assisted algorithms for computing the correlation dimension". A. Bueno Orovio and V. M. Pérez García. Chaos, Solitons & Fractals, 34 (2007), 509-518. Preprint / Paper.
  4. "Spectral Smoothed Boundary Methods: The role of external boundary conditions". A. Bueno Orovio and V. M. Pérez García. Numer. Meth. Part. D. E., 22 (2006), 435-448. Preprint / Paper.
  5. "Spectral methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. SIAM J. Sci. Comput., 28 (2006), 886-900. Preprint / Paper.

 

Conference presentations
  1. "Modelado matemático de cardiopatías de origen genético". A. Bueno Orovio. Instituto de Matemática Aplicada a la Ciencia e Ingeniería, Ciudad Real, Spain (March 2007). Slides.
  2. "Extension of spectral methods to irregular geometries via a fictitious domain approach". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. 2007 SIAM Conference on Computational Science and Engineering, Costa Mesa (California), U.S.A. (February 2007). Slides.
  3. "Mathematical modeling and pseudospectral simulation of genetic diseases in the human heart". A. Bueno Orovio, V. M. Pérez García, F. H. Fenton and E. M. Cherry. International Conference of Mathematicians, Madrid, Spain (August 2006). Slides.
  4. "Reentrant arrhythmias in human ventricular models". F. H. Fenton, A. Bueno Orovio, H. M. Hastings, S. J. Evans and E. M. Cherry. Heart Rhythm Society Scientific Sessions, Boston, U.S.A. (May 2006). Poster.
  5. "Minimal model for human ventricular action potentials in tissue". A. Bueno Orovio, F. H. Fenton and E. M. Cherry. Upstate New York Cardiac Electrophysiology Society 2005, Siracuse (New York), U.S.A. (October 2005). Slides.
  6. "A Fourier domain embedding method for the solution of PDEs: the Smoothed Boundary Method". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. ENUMATH 2005, Santiago de Compostela, Spain (July 2005).
  7. "Modelado matemático y simulación numérica de la dinámica eléctrica de los ventrículos humanos". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. II Jornadas sobre Investigación y Docencia del Departamento de Matemáticas U.C.L.M., Almadén (Ciudad Real), Spain (June 2005). Slides.
  8. "A model for human ventricular action potentials: Insights into Brugada Syndrome mechanisms". A. Bueno Orovio, F. H. Fenton, E. M. Cherry and S. J. Evans. SIAM Conference on Applications of Dynamical Systems, Snowbird (Utah), U.S.A. (May 2005).
  9. "A smoothed boundary fictitious domain method for nonlinear parabolic PDEs". A. Bueno Orovio. Istituto di Matematica Applicata e Tecnologie Informatiche del C.N.R., Pavia, Italy (February 2005). Slides.
  10. "Spectral methods for partial differential equations in irregular domains". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. Student Prize Session at the 2004 SIAM Annual Meeting, Portland (Oregon), U.S.A. (July 2004). Slides.
  11. "Fitting techniques for simplified ionic models of electrical activity of the heart". A. Bueno Orovio, E. M. Cherry and F. H. Fenton. SIAM Conference on the Life Sciences, Portland (Oregon), U.S.A. (July 2004). Slides.
  12. "Métodos espectrales y sus aplicaciones a problemas cardiológicos". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. NoLineal 2004, Toledo, Spain (July 2004).
  13. "Spectral methods for partial differential equations in irregular domains". A. Bueno Orovio, V. M. Pérez García and F. H. Fenton. ICOSAHOM 2004, Providence (Rhode Island), U.S.A. (June 2004). Slides.
  14. "Basis for the induction of phase two reentry in the Brugada Syndrome: Insights from computer simulations". F. H. Fenton, A. Bueno Orovio, E. M. Cherry and S. J. Evans. Heart Rhythm Society Scientific Sessions, San Francisco, U.S.A. (May 2004). Poster.
  15. "Efficient Integration Algorithms for Cardiac Tissue Simulations: Comparison of Pseudospectral, Spectral, Adaptive Mesh and ADI methods". A. Bueno Orovio, E. M. Cherry, V. M. Pérez García and F. H. Fenton. Gordon Conference on Cardiac Arrhythmia Mechanisms, New London (New Hampshire), U.S.A. (August 2003). Poster.
  16. "Spiral waves in cardiac tissue". A. Bueno Orovio. Workshop on Nonlinear Waves, Ciudad Real, Spain (December 2002).