(Q41953849)

14 October 2017

Fractal properties of perfusion heterogeneity in optimized arterial trees: a model study (English)

1 reference

14 October 2017

Rudolf Karch

1

1 reference

14 October 2017

Friederike Neumann

2

1 reference

14 October 2017

Bruno K Podesser

3

1 reference

14 October 2017

Martin Neumann

4

1 reference

14 October 2017

Paul Szawlowski

5

1 reference

14 October 2017

Wolfgang Schreiner

6

1 reference

14 October 2017

11 August 2003

1 reference

The Journal of General Physiology

14 October 2017

1 reference

14 October 2017

122

1 reference

14 October 2017

3

1 reference

14 October 2017

307-321

1 reference

THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK APPLIED TO THE ANGLE OF BRANCHING OF ARTERIES.

14 October 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Spatial heterogeneity in the heart: recent insights and open questions

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The mechanical and metabolic basis of myocardial blood flow heterogeneity

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

5 June 2018

Capillary supply regions

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Arterial branching within the confines of fractal L-system formalism

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Perfusion heterogeneity in human skeletal muscle: fractal analysis of PET data

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

A stochastic model for the self-similar heterogeneity of regional organ blood flow

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Staged growth of optimized arterial model trees.

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Heterogeneities in myocardial flow and metabolism: exacerbation with abnormal excitation

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Is local metabolism the basis of the fractal vascular structure in the heart?

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Analysis of pig's coronary arterial blood flow with detailed anatomical data

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

A general model for the origin of allometric scaling laws in biology

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Microheterogeneity of myocardial blood flow in rabbit hearts during normoxic and hypoxic states

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The influence of optimization target selection on the structure of arterial tree models generated by constrained constructive optimization

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Computer generation of complex arterial tree models

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The branching angles in computer-generated optimized models of arterial trees

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Design principles of vascular beds

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

On connecting large vessels to small. The meaning of Murray's law

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Arterial bifurcations in the cardiovascular system of a rat.

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Regional Distribution of Diffusible Tracers and Carbonized Microspheres in the Left Ventricle of Isolated Dog Hearts

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Temporal fluctuations in regional myocardial flows

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Fractal nature of regional myocardial blood flow heterogeneity

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Regional myocardial flow heterogeneity explained with fractal networks

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Redistribution of coronary microvascular resistance produced by dipyridamole

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Angiogenesis in the heart and skeletal muscle

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Fractal descriptions for spatial statistics

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Fractal branchings: the basis of myocardial flow heterogeneities?

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Applications of fractal analysis to physiology

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Microvascular pressures and resistances in the left ventricular subepicardium and subendocardium

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Spatial correlation of regional pulmonary perfusion

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Branching patterns in the porcine coronary arterial tree. Estimation of flow heterogeneity.

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The role of shear forces in arterial branching

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Optimality principles in arterial branching

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Shear forces and blood vessel radii in the cardiovascular system

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Description of cellular patterns by Dirichlet domains: the two-dimensional case

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Methods for the simultaneous measurement of pressure differentials and flow in single unbranched vessels of the microcirculation for rheological studies

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Propagation velocity and reflection of pressure waves in the canine coronary artery

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Conditions for vasodilator-induced coronary steal in experimental myocardial ischemia

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Role of Microvessels in Oxygen Supply to Tissue.

5 June 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Voronoi polyhedra analysis of optimized arterial tree models

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The fractal nature of myocardial blood flow emerges from a whole-organ model of arterial network.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Pulmonary blood flow remains fractal down to the level of gas exchange.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

A class of flow bifurcation models with lognormal distribution and fractal dispersion.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

A three-dimensional model for arterial tree representation, generated by constrained constructive optimization.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Vascular tree structure affects lung blood flow heterogeneity simulated in three dimensions

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

Morphometry of pig coronary arterial trees.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

The pattern of coronary arteriolar bifurcations and the uniform shear hypothesis

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

A computer simulation of pulmonary perfusion in three dimensions.

18 August 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=2234485

18 August 2018

Computational Geometry

1 reference

Crossref

https://api.crossref.org/works/10.1085%2FJGP.200208747

Branching tree model with fractal vascular resistance explains fractal perfusion heterogeneity

21 January 2018

1 reference

Crossref

https://api.crossref.org/works/10.1085%2FJGP.200208747

Functional characteristics of optimized arterial tree models perfusing volumes of different thickness and shape

21 January 2018

1 reference

12 December 2020

Blood flow heterogeneity in the heart

1 reference

12 December 2020

Optimal branching structure of the vascular tree

1 reference

12 December 2020

Spatial heterogeneity of blood flow in the dog heart. II. Temporal stability in response to adrenergic stimulation

1 reference

12 December 2020

Function, metabolic, and flow heterogeneity of the heart: the view is getting better

1 reference

12 December 2020

Fractal modeling of pulmonary blood flow heterogeneity

1 reference

12 December 2020

Myocardial blood flow heterogeneity in shock and small-volume resuscitation in pigs with coronary stenosis

1 reference

12 December 2020

Basic structure-function relations of the epicardial coronary vascular tree. Basis of quantitative coronary arteriography for diffuse coronary artery disease

1 reference

12 December 2020

Local continuity of myocardial blood flow studied by monochromatic synchrotron radiation-excited x-ray fluorescence spectrometry

1 reference

12 December 2020

Spatial heterogeneity of blood flow in the dog heart. I. Glucose uptake, free adenosine and oxidative/glycolytic enzyme activity

1 reference

12 December 2020

Fast high-resolution magnetic resonance imaging demonstrates fractality of myocardial perfusion in microscopic dimensions

1 reference

12 December 2020

Fractal properties of pulmonary blood flow: characterization of spatial heterogeneity

1 reference

12 December 2020

Variability of intercapillary distance estimated on histological sections of rat heart

1 reference

12 December 2020

Fractals describe blood flow heterogeneity within skeletal muscle and within myocardium

1 reference

12 December 2020

Identifiers

DOI

10.1085/JGP.200208747

1 reference

14 October 2017

1 reference

14 October 2017

1 reference