© 2004

Quantitative Neuroscience

Models, Algorithms, Diagnostics, and Therapeutic Applications

  • P. M. Pardalos
  • J. C. Sackellares
  • P. R. Carney
  • L. D. Iasemidis

Part of the Biocomputing book series (BCOM, volume 2)

Table of contents

  1. Front Matter
    Pages i-xi
  2. W. Chaovalitwongse, P. M. Pardalos, L. D. Iasemidis, D.-S. Shiau, J. C. Sackellares
    Pages 1-35
  3. P. R. Carney, D.-S. Shiau, P. M. Pardalos, L. D. Iasemidis, W. Chaovalitwongse, J. C. Sackellares
    Pages 37-51
  4. Pando Georgiev, Andrzej Cichocki, Hovagim Bakardjian
    Pages 53-68
  5. Victor Korotkikh, Galina Korotkikh
    Pages 69-89
  6. T. Maiwald, M. Winterhalder, H. U. Voss, R. Aschenbrenner-Scheibe, A. Schulze-Bonhage, J. Timmer
    Pages 91-101
  7. M. Winterhalder, T. Maiwald, H. U. Voss, R. Aschenbrenner-Scheibe, A. Schulze-Bonhage, J. Timmer
    Pages 103-116
  8. John G. Milton, Jennifer Foss, John D. Hunter, Juan Luis Cabrera
    Pages 117-143
  9. G. Ramachandran, J. C. Principe, J. C. Sackellares
    Pages 171-189
  10. Rasa Ruseckaite, Teddy Maddess, Andrew Charles James
    Pages 213-221
  11. J. C. Sackellares, L. D. Iasemidis, D.-S. Shiau, P. M. Pardalos, P. R. Carney
    Pages 223-237
  12. D.-S. Shiau, W. Chaovalitwongse, L. D. Iasemidis, P. M. Pardalos, P. R. Carney, J. C. Sackellares
    Pages 239-249
  13. Mark C. K. Yang, D.-S. Shiau, J. C. Sackellares
    Pages 251-262

About this book


Advances in the field of signal processing, nonlinear dynamics, statistics, and optimization theory, combined with marked improvement in instrumenta­ tion and development of computers systems, have made it possible to apply the power of mathematics to the task of understanding the human brain. This verita­ ble revolution already has resulted in widespread availability of high resolution neuroimaging devices in clinical as well as research settings. Breakthroughs in functional imaging are not far behind. Mathematical tech­ niques developed for the study of complex nonlinear systems and chaos already are being used to explore the complex nonlinear dynamics of human brain phys­ iology. Global optimization is being applied to data mining expeditions in an effort to find knowledge in the vast amount of information being generated by neuroimaging and neurophysiological investigations. These breakthroughs in the ability to obtain, store and analyze large datasets offer, for the first time, exciting opportunities to explore the mechanisms underlying normal brain func­ tion as well as the affects of diseases such as epilepsy, sleep disorders, movement disorders, and cognitive disorders that affect millions of people every year. Ap­ plication of these powerful tools to the study of the human brain requires, by necessity, collaboration among scientists, engineers, neurobiologists and clini­ cians. Each discipline brings to the table unique knowledge, unique approaches to problem solving, and a unique language.


algorithms complex system data mining diagnostics dynamical systems magnetic resonance magnetic resonance imaging (MRI) Mathematica mathematics modeling optimization programming statistics tissue

Editors and affiliations

  • P. M. Pardalos
    • 1
  • J. C. Sackellares
    • 2
  • P. R. Carney
    • 3
  • L. D. Iasemidis
    • 4
  1. 1.Departments of Industrial and Systems Engineering, Biomedical Engineering, and McKnight Brain InstituteUniversity of FloridaUSA
  2. 2.Departments of Neuroscience, Neurology, Pediatrics, and Biomedical EngineeringUniversity of Florida; VA Medical CenterUSA
  3. 3.Departments of Pediatrics, Neurology, and NeuroscienceUniversity of FloridaUSA
  4. 4.Department of Biomedical EngineeringArizona State UniversityUSA

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