Compr.Analysis of mechanical waves accompanying nerve impulse
24
ANALYSIS OF MECHANICAL WAVES ACCOMPANYING NERVE IMPULSE Tiziano Modica SUPERVISORS: MASSIMO CUOMO, PROF. ENG. JÜRI ENGELBRECHT, PHD DSC UNIVERSITY OF CATANIA DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURAL Master’s Degree Thesis in Civil Engineering Structural and Geotechnical CENTRE FOR NONLINEAR STUDIES, INSTITUTE OF CYBERNETICS AT TALLINN UNIVERSITY OF TECHNOLOGY, Tallinn - Estonia
Compr.Analysis of mechanical waves accompanying nerve impulse
1. ANALYSIS OF MECHANICAL WAVES ACCOMPANYING NERVE IMPULSE
Tiziano Modica SUPERVISORS: MASSIMO CUOMO, PROF. ENG. JRI
ENGELBRECHT, PHD DSC UNIVERSITY OF CATANIA DEPARTMENT OF CIVIL
ENGINEERING AND ARCHITECTURAL Masters Degree Thesis in Civil
Engineering Structural and Geotechnical CENTRE FOR NONLINEAR
STUDIES, INSTITUTE OF CYBERNETICS AT TALLINN UNIVERSITY OF
TECHNOLOGY, Tallinn - Estonia
2. Waves Monodimensional wave equation Fourier series 2 2 0 2 2
2 = 0 = cos + 0 = cos +
3. Dispersion Non dispersive medium = = Dispersive medium = ()
Anomalous and normal dispersion
14. Mechanical experimental evidences Heat production Swelling
Curtailment
15. Heimburg & Jackson model 2005 1D sound propagation
equation Boussinesq-type equation with solitonic solution Melting
transition
16. Engelbrecht Peets Tamm model 2014 Nerve fibre considered as
a rod Navier-Bernoulli hypothesis Rayleigh-Love correction Bishops
model according to Porubov
17. Engelbrecht Peets Tamm model 2014 Inertial effects
Modelling of anomalous dispersion More consistent model 2 2 = 1 + +
2 2 2 + + 2 2 4 4 + 4 2 2 Nonlinear terms Dispersive / inertial
terms Solitonic initial condition Mixed derivatives
21. Conclusions PSM is accurate and efficient, it can be used
to solve PDEs and neural models Pay attention to Gibbs phenomenon
and aliasing HH model is not complete, it explains only the
electric behaviour of AP propagation
22. Conclusions Heimburg & Jackson model explains the
mechanical changes but it has some problems in terms of cph and cgr
Engelbrecth Peets Tamm model solves Heimburg & Jackson models
problems
23. ConclusionsStill unsolved Mechanical model does not
represent annihilation How to Unificate HH model to EPT model?