Neural Systems

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)


Studying the brain has been one of the most active and interesting recent adventures in science. Ingenious experiments and exquisite experimental devices are moving us toward understanding how a brain works. To move beyond knowledge of molecular aspects of the brain, we can use methods such as those developed and used by engineers to study and design large complex systems. Their approaches are based on mathematical models of electronic devices, and in this chapter we explore similar approaches to study brain systems.


Entorhinal Cortex Phase Lock Loop Theta Rhythm Medial Septum Biological Clock 
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Annotated References

  1. Hoppensteadt, F.C.: An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain, 2nd edition. Cambridge Univ. Press, Cambridge, UK, 1997.zbMATHGoogle Scholar
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  3. Winfree, A.T.: The Geometry of Biological Time. Springer-Verlag, New York, 1980. (2nd edition, 2001.)CrossRefzbMATHGoogle Scholar
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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.Center for Systems Science and EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Mathematics Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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