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Neuronal action potentials:
ion channels vs solitons
F. Areces Nov. 2016
Alberto Ferrús
Cajal Institute. CSIC
..the soliton model does not involve any ions or flow of ions. Andersen et al., 2009
The soliton mode of pulse propagation is fundamentally different from the
action potential picture given by the ionic hypothesis.
Velocity : 0.5 m/s (0.2µm Ø) – 120 m/s (20µm)
Cardiac cells
Human Mouse
The ionic model (Hodgkin-Huxley)
Im = Cm dU/dt + gK(U −EK) + gNa(U −ENa) + gL(U −EL)
IC = d/dt (Cm · U) = Cm dU/dt + U dCm /dt
Tasaki and Iwasa, 1982
Action potentials and mechanical changes of the plasma membrane
Tasaki et al., 1969
Fluorescence changes in the membrane on AP passage
Squid Crab Squid Crab
ANS = 8-anilinonaphtalate-1-sulfonate
FIT = fluorescein isothiocynate
LSD = lysergic acid diethylamide
Heat
dissipation
Reversible phase
transition
Tasaki et al., 1989
The soliton model
Heimburg and Jackson, 2005
Lipids proteins
Soliton: a self-reinforcing solitary wave. French 1971
∆S = ∆H / Tm
Andersen et al., 2009
Membrane potential changes result
from displacement of charged lipids
..it seems plausible that mechanical
solitons can generate voltage changes
comparable to those observed during
action potentials. The exact values
remain to be determined by experiment.
Collision
Lautrup et al., 2011
González-Pérez et al., 2014
Penetrating action potentials
Anesthetics
The Meyer-Overton rule
Kharakoz ,2001Overton, 1991
… but anesthetics do not affect AP velocity !!!
Testable predictions from the soliton model for action potentials
-) Membrane capacitance, Cm, must change transiently in register with AP passage.
-) Since propagation velocity is inversely proportional to Cm, then,
velocity must be determined by the magnitud of Cm change.
-) Since propagation velocities are diverse across neuron types and temperatures,
so should be for soliton’s velocities. The case of membrane inhomogeneities.
-) High frequency firing neurons should have a special lipid composition.
-) Since charged proteins represent up to 50% weight of membrane composition,
experimental loading or depletion of proteins from membranes should lead to
quantitatively predictable changes in AP amplitude and velocity.
Tasks to be solved by the soliton model
-) To explain a triggering mechanism for solitons.
-) To explain directionality of soliton conduction.
-) To explain the transformation of solitons into synaptic release.
-) To explain how to deal with high frequency firing rates.
-) To explain the refractory period of the membrane. (mass conservation?)
-) To clarify the putative friction component in the membrane melting process,
hence, heat generation.
The ultimate test: Genetics

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Alberto Ferrús-Simposio Internacional sobre Solitón

  • 1. Neuronal action potentials: ion channels vs solitons F. Areces Nov. 2016 Alberto Ferrús Cajal Institute. CSIC
  • 2. ..the soliton model does not involve any ions or flow of ions. Andersen et al., 2009 The soliton mode of pulse propagation is fundamentally different from the action potential picture given by the ionic hypothesis.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. Velocity : 0.5 m/s (0.2µm Ø) – 120 m/s (20µm)
  • 8.
  • 9.
  • 11. The ionic model (Hodgkin-Huxley) Im = Cm dU/dt + gK(U −EK) + gNa(U −ENa) + gL(U −EL) IC = d/dt (Cm · U) = Cm dU/dt + U dCm /dt
  • 12. Tasaki and Iwasa, 1982 Action potentials and mechanical changes of the plasma membrane
  • 13. Tasaki et al., 1969 Fluorescence changes in the membrane on AP passage Squid Crab Squid Crab ANS = 8-anilinonaphtalate-1-sulfonate FIT = fluorescein isothiocynate LSD = lysergic acid diethylamide
  • 15. The soliton model Heimburg and Jackson, 2005 Lipids proteins Soliton: a self-reinforcing solitary wave. French 1971 ∆S = ∆H / Tm
  • 16. Andersen et al., 2009 Membrane potential changes result from displacement of charged lipids ..it seems plausible that mechanical solitons can generate voltage changes comparable to those observed during action potentials. The exact values remain to be determined by experiment.
  • 18. González-Pérez et al., 2014 Penetrating action potentials
  • 19. Anesthetics The Meyer-Overton rule Kharakoz ,2001Overton, 1991 … but anesthetics do not affect AP velocity !!!
  • 20. Testable predictions from the soliton model for action potentials -) Membrane capacitance, Cm, must change transiently in register with AP passage. -) Since propagation velocity is inversely proportional to Cm, then, velocity must be determined by the magnitud of Cm change. -) Since propagation velocities are diverse across neuron types and temperatures, so should be for soliton’s velocities. The case of membrane inhomogeneities. -) High frequency firing neurons should have a special lipid composition. -) Since charged proteins represent up to 50% weight of membrane composition, experimental loading or depletion of proteins from membranes should lead to quantitatively predictable changes in AP amplitude and velocity.
  • 21. Tasks to be solved by the soliton model -) To explain a triggering mechanism for solitons. -) To explain directionality of soliton conduction. -) To explain the transformation of solitons into synaptic release. -) To explain how to deal with high frequency firing rates. -) To explain the refractory period of the membrane. (mass conservation?) -) To clarify the putative friction component in the membrane melting process, hence, heat generation.
  • 22. The ultimate test: Genetics