Literature DB >> 20871797

Physiological Heterogeneity: Fractals Link Determinism and Randomness in Structures and Functions.

James B Bassingthwaighte1.   

Abstract

Spatial variation in concentrations or flows within an organ and temporal variation in reaction rates or flows appear to broaden as one refines the scale of observation. How can we characterize heterogeneity independently of scale? Fractals come to our rescue! A system is fractal if its features adhere to the same rules through a succession of different scales. Fractals efficiently describe many types of observations, geometric and kinetic, and help to integrate physiological knowledge.

Entities:  

Year:  1988        PMID: 20871797      PMCID: PMC2943647          DOI: 10.1152/physiologyonline.1988.3.1.5

Source DB:  PubMed          Journal:  News Physiol Sci        ISSN: 0886-1714


  8 in total

1.  Dynamics of fractal networks.

Authors:  R Orbach
Journal:  Science       Date:  1986-02-21       Impact factor: 47.728

2.  Fractal model of ion-channel kinetics.

Authors:  L S Liebovitch; J Fischbarg; J P Koniarek; I Todorova; M Wang
Journal:  Biochim Biophys Acta       Date:  1987-01-26

3.  Fractal modeling of biological structures.

Authors:  M F Barnsley; P Massopust; H Strickland; A D Sloan
Journal:  Ann N Y Acad Sci       Date:  1987       Impact factor: 5.691

4.  Stability of heterogeneity of myocardial blood flow in normal awake baboons.

Authors:  R B King; J B Bassingthwaighte; J R Hales; L B Rowell
Journal:  Circ Res       Date:  1985-08       Impact factor: 17.367

5.  Teleonomical optimization of a fractal model of the pulmonary arterial bed.

Authors:  J Lefèvre
Journal:  J Theor Biol       Date:  1983-05-21       Impact factor: 2.691

6.  Design of the bronchial tree.

Authors:  T A Wilson
Journal:  Nature       Date:  1967-02-18       Impact factor: 49.962

7.  Potassium ion current in the squid giant axon: dynamic characteristic.

Authors:  K S COLE; J W MOORE
Journal:  Biophys J       Date:  1960-09       Impact factor: 4.033

8.  Validity of microsphere depositions for regional myocardial flows.

Authors:  J B Bassingthwaighte; M A Malone; T C Moffett; R B King; S E Little; J M Link; K A Krohn
Journal:  Am J Physiol       Date:  1987-07
  8 in total
  25 in total

1.  Analyzing exact fractal time series: evaluating dispersional analysis and rescaled range methods.

Authors:  David C Caccia; Donald Percival; Michael J Cannon; Gary Raymond; James B Bassingthwaighte
Journal:  Physica A       Date:  1997-12-01       Impact factor: 3.263

2.  Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series.

Authors:  Michael J Cannon; Donald B Percival; David C Caccia; Gary M Raymond; James B Bassingthwaighte
Journal:  Physica A       Date:  1997-07-15       Impact factor: 3.263

Review 3.  Applications of fractal analysis to physiology.

Authors:  R W Glenny; H T Robertson; S Yamashiro; J B Bassingthwaighte
Journal:  J Appl Physiol (1985)       Date:  1991-06

4.  A comparative analysis of spectral exponent estimation techniques for 1/f(β) processes with applications to the analysis of stride interval time series.

Authors:  Alexander Schaefer; Jennifer S Brach; Subashan Perera; Ervin Sejdić
Journal:  J Neurosci Methods       Date:  2013-11-04       Impact factor: 2.390

5.  The interdependent contributions of gravitational and structural features to perfusion distribution in a multiscale model of the pulmonary circulation.

Authors:  A R Clark; M H Tawhai; E A Hoffman; K S Burrowes
Journal:  J Appl Physiol (1985)       Date:  2011-02-03

6.  Temporal fluctuations in regional red blood cell flux in the rat brain cortex is a fractal process.

Authors:  A Eke; P Hermán; J B Bassingthwaighte; G M Raymond; I Balla; C Ikrényi
Journal:  Adv Exp Med Biol       Date:  1997       Impact factor: 2.622

7.  Regional myocardial flow heterogeneity explained with fractal networks.

Authors:  J H Van Beek; S A Roger; J B Bassingthwaighte
Journal:  Am J Physiol       Date:  1989-11

Review 8.  Heterogeneity of myocardial blood flow.

Authors:  J I Hoffman
Journal:  Basic Res Cardiol       Date:  1995 Mar-Apr       Impact factor: 17.165

9.  Most suitable mother wavelet for the analysis of fractal properties of stride interval time series via the average wavelet coefficient method.

Authors:  Zhenwei Zhang; Jessie VanSwearingen; Jennifer S Brach; Subashan Perera; Ervin Sejdić
Journal:  Comput Biol Med       Date:  2016-11-26       Impact factor: 4.589

10.  Using 1/f noise to examine planning and control in a discrete aiming task.

Authors:  André B Valdez; Eric L Amazeen
Journal:  Exp Brain Res       Date:  2008-02-19       Impact factor: 1.972

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