A dual mode mechanism of conductance through fine porous membranes

Zbigniew J. Grzywna; Larry S. Liebovitch; Zuzanna Siwy

doi:10.1016/S0376-7388(98)00080-5

A dual mode mechanism of conductance through fine porous membranes

Zbigniew J. Grzywna
, Larry S. Liebovitch
, Zuzanna Siwy

Department of Physical Chemistry and Technology of Polymers (RCH/RCH4)

Florida Atlantic University
Silesian University of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A reversible, internal adsorption of cations was picked as one of the possible reasons of nonlinear behaviour of ionic transport through single channel in a membrane. The power law scaling in an adsorption term of the overall discrete dynamical equation for current provides an opportunity for implementing the structure-function relationship. The logistic map in the chaotic region was used as a mathematical basis for the description of K⁺ transport through poly(ethylene terephthalate) (PETP) nuclear filters.

Original language	English
Pages (from-to)	253-263
Number of pages	11
Journal	Journal of Membrane Science
Volume	145
Issue number	2
DOIs	https://doi.org/10.1016/S0376-7388(98)00080-5
Publication status	Published - 8 Jul 1998

Keywords

Biological and synthetic membranes
Chaos
Ionic channels
Ionic transport
Logistic maps

ASJC Scopus subject areas

Biochemistry
General Materials Science
Physical and Theoretical Chemistry
Filtration and Separation

Access to Document

10.1016/S0376-7388(98)00080-5

Cite this

@article{d26c1406993e4cb9b474fe717e582f19,

title = "A dual mode mechanism of conductance through fine porous membranes",

abstract = "A reversible, internal adsorption of cations was picked as one of the possible reasons of nonlinear behaviour of ionic transport through single channel in a membrane. The power law scaling in an adsorption term of the overall discrete dynamical equation for current provides an opportunity for implementing the structure-function relationship. The logistic map in the chaotic region was used as a mathematical basis for the description of K+ transport through poly(ethylene terephthalate) (PETP) nuclear filters.",

keywords = "Biological and synthetic membranes, Chaos, Ionic channels, Ionic transport, Logistic maps",

author = "Grzywna, \{Zbigniew J.\} and Liebovitch, \{Larry S.\} and Zuzanna Siwy",

year = "1998",

month = jul,

day = "8",

doi = "10.1016/S0376-7388(98)00080-5",

language = "English",

volume = "145",

pages = "253--263",

journal = "Journal of Membrane Science",

issn = "0376-7388",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - A dual mode mechanism of conductance through fine porous membranes

AU - Grzywna, Zbigniew J.

AU - Liebovitch, Larry S.

AU - Siwy, Zuzanna

PY - 1998/7/8

Y1 - 1998/7/8

N2 - A reversible, internal adsorption of cations was picked as one of the possible reasons of nonlinear behaviour of ionic transport through single channel in a membrane. The power law scaling in an adsorption term of the overall discrete dynamical equation for current provides an opportunity for implementing the structure-function relationship. The logistic map in the chaotic region was used as a mathematical basis for the description of K+ transport through poly(ethylene terephthalate) (PETP) nuclear filters.

AB - A reversible, internal adsorption of cations was picked as one of the possible reasons of nonlinear behaviour of ionic transport through single channel in a membrane. The power law scaling in an adsorption term of the overall discrete dynamical equation for current provides an opportunity for implementing the structure-function relationship. The logistic map in the chaotic region was used as a mathematical basis for the description of K+ transport through poly(ethylene terephthalate) (PETP) nuclear filters.

KW - Biological and synthetic membranes

KW - Chaos

KW - Ionic channels

KW - Ionic transport

KW - Logistic maps

UR - https://www.scopus.com/pages/publications/0032496920

U2 - 10.1016/S0376-7388(98)00080-5

DO - 10.1016/S0376-7388(98)00080-5

M3 - Article

AN - SCOPUS:0032496920

SN - 0376-7388

VL - 145

SP - 253

EP - 263

JO - Journal of Membrane Science

JF - Journal of Membrane Science

IS - 2

ER -

A dual mode mechanism of conductance through fine porous membranes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this