Literature DB >> 1255127

The role of shear forces in arterial branching.

M Zamir.   

Abstract

A new optimality principle for the branching angles of blood vessels in the cardiovascular system is proposed: the principle of minimum drag. The results are examined in the light of general observations and compared with those obtained from the principles of minimum work and minimum volume. It is shown that in some aspects the new principle is equally consistent with observations, and, in other aspects, it is perhaps more plausible than the other two principles.

Mesh:

Year:  1976        PMID: 1255127      PMCID: PMC2214959          DOI: 10.1085/jgp.67.2.213

Source DB:  PubMed          Journal:  J Gen Physiol        ISSN: 0022-1295            Impact factor:   4.086


  11 in total

1.  Atheroma and arterial wall shear. Observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis.

Authors:  C G Caro; J M Fitz-Gerald; R C Schroter
Journal:  Proc R Soc Lond B Biol Sci       Date:  1971-02-16

2.  Blood flow downstream of a two-dimensional bifurcation.

Authors:  M Zamir; M R Roach
Journal:  J Theor Biol       Date:  1973-11-05       Impact factor: 2.691

3.  Optimal branching structure of the vascular tree.

Authors:  A Kamiya; T Togawa
Journal:  Bull Math Biophys       Date:  1972-12

4.  The hemodynamic importance of the geometry of bifurcations in the circle of Willis (glass model studies).

Authors:  M R Roach; S Scott; G G Ferguson
Journal:  Stroke       Date:  1972 May-Jun       Impact factor: 7.914

5.  Blood flow, slip, and viscometry.

Authors:  M Zamir; M R Roach
Journal:  Biophys J       Date:  1972-06       Impact factor: 4.033

6.  Acute vascular endothelial changes associated with increased blood velocity gradients.

Authors:  D L Fry
Journal:  Circ Res       Date:  1968-02       Impact factor: 17.367

7.  The geometry of the human cerebellar vermis.

Authors:  R S Turner
Journal:  Anat Rec       Date:  1968-04

8.  Trees and streams: the efficiency of branching patterns.

Authors:  L B Leopold
Journal:  J Theor Biol       Date:  1971-05       Impact factor: 2.691

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

Authors:  C D Murray
Journal:  J Gen Physiol       Date:  1926-07-20       Impact factor: 4.086

10.  A RELATIONSHIP BETWEEN CIRCUMFERENCE AND WEIGHT IN TREES AND ITS BEARING ON BRANCHING ANGLES.

Authors:  C D Murray
Journal:  J Gen Physiol       Date:  1927-05-20       Impact factor: 4.086

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  23 in total

1.  Anthropometry of fetal vasculature in the chorionic plate.

Authors:  Z Gordon; D Elad; R Almog; Y Hazan; A J Jaffa; O Eytan
Journal:  J Anat       Date:  2007-10-30       Impact factor: 2.610

2.  Optimization of diameters and bifurcation angles in lung and vascular tree structures.

Authors:  H B Uylings
Journal:  Bull Math Biol       Date:  1977       Impact factor: 1.758

3.  Adaptive regulation of wall shear stress optimizing vascular tree function.

Authors:  A Kamiya; R Bukhari; T Togawa
Journal:  Bull Math Biol       Date:  1984       Impact factor: 1.758

4.  A generalization of the optimal models of arterial branching.

Authors:  A G Roy; M J Woldenberg
Journal:  Bull Math Biol       Date:  1982       Impact factor: 1.758

5.  A mathematical model of the functional state of the oxygen transport system.

Authors:  M A Khanin; I B Bukharov
Journal:  Bull Math Biol       Date:  1980       Impact factor: 1.758

6.  Local geometry of arterial branching.

Authors:  M Zamir
Journal:  Bull Math Biol       Date:  1982       Impact factor: 1.758

7.  Estimation of coronary artery hyperemic blood flow based on arterial lumen volume using angiographic images.

Authors:  Sabee Molloi; David Chalyan; Huy Le; Jerry T Wong
Journal:  Int J Cardiovasc Imaging       Date:  2011-01-07       Impact factor: 2.357

8.  Fractal properties of perfusion heterogeneity in optimized arterial trees: a model study.

Authors:  Rudolf Karch; Friederike Neumann; Bruno K Podesser; Martin Neumann; Paul Szawlowski; Wolfgang Schreiner
Journal:  J Gen Physiol       Date:  2003-08-11       Impact factor: 4.086

9.  The pattern of coronary arteriolar bifurcations and the uniform shear hypothesis.

Authors:  G S Kassab; Y C Fung
Journal:  Ann Biomed Eng       Date:  1995 Jan-Feb       Impact factor: 3.934

Review 10.  Computational models of airway branching morphogenesis.

Authors:  Victor D Varner; Celeste M Nelson
Journal:  Semin Cell Dev Biol       Date:  2016-06-03       Impact factor: 7.727

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