Dissertation > Excellent graduate degree dissertation topics show

Reconsruction of Hodgkin-huxley Neuronal System from Interspike Intervalts

Author: ZhangJianGuo
Tutor: HuDan; ZhouDongZuo
School: Shanghai Jiaotong University
Course: Mathematics
Keywords: Interspike intervals spike train reconstruction embedding dimension time-delay
CLC: N93
Type: Master's thesis
Year: 2013
Downloads: 16
Quote: 0
Read: Download Dissertation

Abstract


The interspike interval (ISI) data based on the spike train manifeststhe external characteristic of Hodgkin-Huxley neuronal system well. Inrough analogy with Takens’ theorem for attractor reconstruction from timeseries,we carry out reconstruction of Hodgkin-Huxley neuronal systemfrom interspike intervals. With reference to the delay-coordinate method,we adopt interspike interval vectors to reconstruct the space phase.In this process, corresponding theory analysis and numericalsimulation are made which can choose the two key-parameters: embeddingdimension and time-delay. In addition, we apply a simple version of anearest-neighbor prediction algorithm to verify the assumption that thenonlinear deterministic structure of the dynamics is preserved in the ISI’s.On the basis of the theory that interspike intervals can be forecast frompast history, we show that deterministically driven ISI series can bedistinguished from stochastically driven ISI series on the basis ofprediction error.

Related Dissertations

  1. Research on Optical Surface Testing with Interferometers,TG84
  2. Algorithm Research on SINS/GPS Integrated Navigation Syste,V249.328
  3. Robust Model Predictive Control of Networked Systems,TP273
  4. Robust Filter Design Based on Polynomially Parameter-dependent Lyapunov Functions,TP13
  5. Stability Analysis and Robust Controller Design for Stochastic Time-Delay Systems,TP13
  6. Stability Analysis of Systems with Time Delays,TP13
  7. Researches on System Control Theories and Their Applications of AUVs,TP13
  8. The Analysis of Bridge Deformation Prediction Based on Chaotic Time Series,U441
  9. Time Delay Estimation in Distributed Optical Fiber Sensing and Positioning System,TN95
  10. An Explicit Model Predictive Control of Networked Control Systems,TP273
  11. Qualitative Study of Almost Periodic Solutions of Some Competition System,O175
  12. Research on the Relationship of the Listed Company Top Management’ Turnover Mode and Enterprise Performance,F276.6;F224
  13. The Reconstruction of the Archive of S(?)-Mama, the Cattle and Flock Official of the Tribute Animal Center of Ur-Ⅲ Dynasty (AS 6 Ⅰ- AS 8 Ⅳ),K124
  14. Modeling and Control of Networked Control Systems with Packet Dropouts and Packet Disordering,TP273
  15. PID Controller Design of Linear Systems with Time Delay Based on Parametric Space and GUI Simulation,TP273
  16. The Reconstruction of the Archives of Lú-di Ir-ra I, the Wild Animal Official of the Animal Center of Ur-III Dynasty in Puzri-Dagan( 39 Iii, 46’ I’ ( 46 Vi) /23- S 1 V /11),K124
  17. Suzhou’s Economic Recovery and Social Reconstruction During the Military Control Period (1949-1952),K27
  18. The Reconstruction of the Archives of the Su11-ga-li ((?) 37 V-IS 2 Ⅻ/30), the Wild Animal Official and Tahi(?)-atal (AS 4 Ⅱ/13-(?)S 3 Ⅳ/4), the Domestic Animal Official of the Animal Center of Ur-Ⅲ Dynasty in Puzri(?)-Dagan,K124
  19. Controller Design for Robust Fault-Tolerant Control of Linear Systems with Time-Delay,TP13
  20. The Prediction Control Based on the Improved Grey Dynamic Model,N941.5
  21. FIR Model Identification Algorithm with Applications,N945.14

CLC: > SCIENCE AND > Nonlinear Science
© 2012 www.DissertationTopic.Net  Mobile