Band-Type Dissipative Structure in Ion Transport Systems with Cylindrical Shape

Kiyoshi Toko, Kaoru Yamafuji

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A theory is presented for an appearance of band-type pattern of electric potential accompanied with electric current surrounding a unit or many-cell system of a cylindrical shape. A flux continuity at the membrane is reduced to a nonlinear equation composed of passive and active fluxes through a diffusion equation for protons. Another equation concerns the concentration of a diffusive substance weakening the pump activity. It is shown that, when an external parameter is varied from the homogeneous state, a symmetry breaking along a longitudinal axis usually appears before the one along a circumferential direction. A TDGL equation for spatial modes, which can describe both normally and invertedly bifurcating cases, is derived. An observation of hysteretic bands of chloroplasts in the green alga Acetabularia is discussed within the present theoretical scheme.

Original languageEnglish
Pages (from-to)4070-4082
Number of pages13
Journaljournal of the physical society of japan
Volume53
Issue number11
DOIs
Publication statusPublished - Jan 1 1984

Fingerprint

chloroplasts
ions
algae
electric current
continuity
nonlinear equations
broken symmetry
pumps
membranes
protons
electric potential
cells

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Band-Type Dissipative Structure in Ion Transport Systems with Cylindrical Shape. / Toko, Kiyoshi; Yamafuji, Kaoru.

In: journal of the physical society of japan, Vol. 53, No. 11, 01.01.1984, p. 4070-4082.

Research output: Contribution to journalArticle

Toko, Kiyoshi ; Yamafuji, Kaoru. / Band-Type Dissipative Structure in Ion Transport Systems with Cylindrical Shape. In: journal of the physical society of japan. 1984 ; Vol. 53, No. 11. pp. 4070-4082.
@article{34a4acf579d547c69ee711aedd9cfe06,
title = "Band-Type Dissipative Structure in Ion Transport Systems with Cylindrical Shape",
abstract = "A theory is presented for an appearance of band-type pattern of electric potential accompanied with electric current surrounding a unit or many-cell system of a cylindrical shape. A flux continuity at the membrane is reduced to a nonlinear equation composed of passive and active fluxes through a diffusion equation for protons. Another equation concerns the concentration of a diffusive substance weakening the pump activity. It is shown that, when an external parameter is varied from the homogeneous state, a symmetry breaking along a longitudinal axis usually appears before the one along a circumferential direction. A TDGL equation for spatial modes, which can describe both normally and invertedly bifurcating cases, is derived. An observation of hysteretic bands of chloroplasts in the green alga Acetabularia is discussed within the present theoretical scheme.",
author = "Kiyoshi Toko and Kaoru Yamafuji",
year = "1984",
month = "1",
day = "1",
doi = "10.1143/JPSJ.53.4070",
language = "English",
volume = "53",
pages = "4070--4082",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "11",

}

TY - JOUR

T1 - Band-Type Dissipative Structure in Ion Transport Systems with Cylindrical Shape

AU - Toko, Kiyoshi

AU - Yamafuji, Kaoru

PY - 1984/1/1

Y1 - 1984/1/1

N2 - A theory is presented for an appearance of band-type pattern of electric potential accompanied with electric current surrounding a unit or many-cell system of a cylindrical shape. A flux continuity at the membrane is reduced to a nonlinear equation composed of passive and active fluxes through a diffusion equation for protons. Another equation concerns the concentration of a diffusive substance weakening the pump activity. It is shown that, when an external parameter is varied from the homogeneous state, a symmetry breaking along a longitudinal axis usually appears before the one along a circumferential direction. A TDGL equation for spatial modes, which can describe both normally and invertedly bifurcating cases, is derived. An observation of hysteretic bands of chloroplasts in the green alga Acetabularia is discussed within the present theoretical scheme.

AB - A theory is presented for an appearance of band-type pattern of electric potential accompanied with electric current surrounding a unit or many-cell system of a cylindrical shape. A flux continuity at the membrane is reduced to a nonlinear equation composed of passive and active fluxes through a diffusion equation for protons. Another equation concerns the concentration of a diffusive substance weakening the pump activity. It is shown that, when an external parameter is varied from the homogeneous state, a symmetry breaking along a longitudinal axis usually appears before the one along a circumferential direction. A TDGL equation for spatial modes, which can describe both normally and invertedly bifurcating cases, is derived. An observation of hysteretic bands of chloroplasts in the green alga Acetabularia is discussed within the present theoretical scheme.

UR - http://www.scopus.com/inward/record.url?scp=0021518026&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021518026&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.53.4070

DO - 10.1143/JPSJ.53.4070

M3 - Article

AN - SCOPUS:0021518026

VL - 53

SP - 4070

EP - 4082

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -