Various oscillatory regimes and bifurcations in a dynamic chemical system at an interface

Oscillation of Membrane Potential in Chemically Modified Poly(α-amino acid) Membranes

“…The oscillation of membrane potential in the excitable artificial membranes reported previously [18][19][20][21][22][23][24][25][26] showed pulsating, rhythmic, and periodic oscillations. The oscillation of membrane potential in the modified PMLG membranes was analyzed using a fast Fourier transport method to investigate whether the oscillation of membrane potential is chaotic or has specific frequencies.…”

“…Most of the artificial membranes [18][19][20][21][22][23] studied are bimolecular lipid or liquid membranes; there are only a few studies dealing with electrical oscillatory phenomena in artificial polymeric membranes. [24][25][26] Shashoua 24 observed spontaneous oscillations in a polyelectrolyte membrane formed by interfacial precipitation of poly(glutamic acid) and polylysine in an electric field.…”

Single-capillary Teorell oscillator—studies with nonelectrolytes

“…According to Yoshikawa et al [15], the complications arise because there are many thousands of pores within the membrane and it is difficult to ensure that the same numbers of pores are filled and to the same extent in two successive runs. This implies that if the membrane is replaced by a single capillary the system should behave better; i.e., it should become an easily reproducible system.…”

“…It has been suspected by Yoshikawa et al [15] that the complications arise because there are many thousands of pores within the membrane of the oscillator and the numbers of pores of the membrane filled in two successive runs may not be the same. Should this diagnosis be correct, replacement of the membrane by a single capillary in the Teorell oscillator should convert it into a well-behaved and easily reproducible system.…”

Noise effect on the dynamics and synchronization of saline oscillator’s model

“…This system has been so far studied in the literature because it provides overview of more complex biological systems and several research works have been devoted to it [49][50][51][52][53][54][55][56][57][58][59][60][61][62] . Very recently, we reported a study in which we modeled the saline oscillator, taking into account the difference between the durations of downward and upward flows, observed ρ si ( i = 1 , 2 , · · ·, N) and the large reservoir contains pure water of density ρw .…”