Japan Journal of Industrial and Applied Mathematics

, Volume 27, Issue 3, pp 347–373

Speeds of traveling waves in some integro-differential equations arising from neuronal networks

Original Paper Area 1

DOI: 10.1007/s13160-010-0021-x

Cite this article as:
Yanagida, E. & Zhang, L. Japan J. Indust. Appl. Math. (2010) 27: 347. doi:10.1007/s13160-010-0021-x


We study traveling waves of some integro-differential equations arising from synaptically coupled neuronal networks. We investigate the influence of synaptic couplings and parameter values on the propagation of waves, and derive lower and upper bounds of traveling speeds. We also compare speeds of waves for various types of synaptic couplings.


Integro-differential equationsTraveling wavesSpeed index functionsSynaptic couplings

Mathematics Subject Classification (2000)


Copyright information

© The JJIAM Publishing Committee and Springer 2010

Authors and Affiliations

  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyoJapan
  2. 2.Department of MathematicsLehigh UniversityBethlehemUSA