Biological transport processes and space dimension

W. Nadler; D. L. Stein

doi:10.1073/pnas.88.15.6750

Biological transport processes and space dimension

W. Nadler, D. L. Stein

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

Abstract

We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t^-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.

Original language	English (US)
Pages (from-to)	6750-6754
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	88
Issue number	15
DOIs	https://doi.org/10.1073/pnas.88.15.6750
State	Published - Aug 1 1991

Keywords

Conformational fluctuations
Ion channel fluctuations
Ligand migration
Protein internal motions
Reaction-diffusion processes

ASJC Scopus subject areas

General

Access to Document

10.1073/pnas.88.15.6750

Cite this

@article{5ab220944eba4fef883cf4b605e13001,

title = "Biological transport processes and space dimension",

abstract = "We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.",

keywords = "Conformational fluctuations, Ion channel fluctuations, Ligand migration, Protein internal motions, Reaction-diffusion processes",

author = "W. Nadler and Stein, {D. L.}",

year = "1991",

month = aug,

day = "1",

doi = "10.1073/pnas.88.15.6750",

language = "English (US)",

volume = "88",

pages = "6750--6754",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

issn = "0027-8424",

publisher = "National Academy of Sciences",

number = "15",

}

TY - JOUR

T1 - Biological transport processes and space dimension

AU - Nadler, W.

AU - Stein, D. L.

PY - 1991/8/1

Y1 - 1991/8/1

N2 - We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.

AB - We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.

KW - Conformational fluctuations

KW - Ion channel fluctuations

KW - Ligand migration

KW - Protein internal motions

KW - Reaction-diffusion processes

UR - http://www.scopus.com/inward/record.url?scp=0026075626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026075626&partnerID=8YFLogxK

U2 - 10.1073/pnas.88.15.6750

DO - 10.1073/pnas.88.15.6750

M3 - Article

C2 - 1713690

AN - SCOPUS:0026075626

SN - 0027-8424

VL - 88

SP - 6750

EP - 6754

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 15

ER -

Biological transport processes and space dimension

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this