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Discussion

Discussion: “Comparison of Statistical Methods for Assessing Spatial Correlations Between Maps of Different Arterial Properties” (Rowland, E. M., Mohamied, Y., Chooi, K. Y., Bailey, E. L., and Weinberg, P. D., 2015, ASME J. Biomech. Eng., 137(10), p. 101003): An Alternative Approach Using Segmentation Based on Local Hemodynamics

[+] Author and Article Information
Heather A. Himburg

Division of Hematology/Oncology,
Department of Medicine,
University of California, Los Angeles,
Los Angeles, CA 90095
e-mail: hhimburg@mednet.ucla.edu

Deborah M. Grzybowski

Department of Chemical and Biomolecular Engineering,
The Ohio State University,
Columbus, OH 43210;
Department of Engineering Education,
The Ohio State University,
Columbus, OH 43210
e-mail: grzybowski.3@osu.edu

Andrew L. Hazel

School of Mathematics,
The University of Manchester,
Manchester M13 9PL, UK
e-mail: Andrew.Hazel@manchester.ac.uk

Jeffrey A. LaMack

Department of Electrical Engineering and
Computer Science,
Milwaukee School of Engineering,
Milwaukee, WI 53202
e-mail: lamack@msoe.edu

Morton H. Friedman

Department of Biomedical Engineering,
The George Washington University,
Washington, DC 20052;
Department of Mechanical and Aerospace Engineering,
The George Washington University,
Washington, DC 20052
e-mail: mhfriedm@gwu.edu

Manuscript received March 24, 2016; final manuscript received July 13, 2016; published online August 3, 2016. Assoc. Editor: Ender A. Finol.

J Biomech Eng 138(9), 095501 (Aug 03, 2016) (2 pages) Paper No: BIO-16-1115; doi: 10.1115/1.4034217 History: Received March 24, 2016; Revised July 13, 2016

The biological response of living arteries to mechanical forces is an important component of the atherosclerotic process and is responsible, at least in part, for the well-recognized spatial variation in atherosusceptibility in man. Experiments to elucidate this response often generate maps of force and response variables over the arterial surface, from which the force–response relationship is sought. Rowland et al. discussed several statistical approaches to the spatial autocorrelation that confounds the analysis of such maps and applied them to maps of hemodynamic stress and vascular response obtained by averaging these variables in multiple animals. Here, we point out an alternative approach, in which discrete surface regions are defined by the hemodynamic stress levels they experience, and the stress and response in each animal are treated separately. This approach, applied properly, is insensitive to autocorrelation and less sensitive to the effect of confounding hemodynamic variables. The analysis suggests an inverse relation between permeability and shear that differs from that in Rowland et al. Possible sources of this difference are suggested.

Copyright © 2016 by ASME
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References

Rowland, E. M. , Mohamied, Y. , Chooi, K. Y. , Bailey, E. L. , and Weinberg, P. D. , 2015, “ Comparison of Statistical Methods for Assessing Spatial Correlations Between Maps of Different Arterial Properties,” ASME J. Biomech. Eng., 137(10), p. 101003. [CrossRef]
DeBakey, M. E. , Lawrie, G. M. , and Glaeser, D. H. , 1985, “ Patterns of Atherosclerosis and Their Surgical Significance,” Ann. Surg., 201(2), pp. 115–131. [CrossRef] [PubMed]
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Himburg, H. A. , Grzybowski, D. M. , Hazel, A. L. , LaMack, J. A. , Li, X.-M. , and Friedman, M. H. , 2004, “ Spatial Comparison Between Wall Shear Stress Measures and Porcine Arterial Endothelial Permeability,” Am. J. Physiol. Heart Circ. Physiol., 286(5), pp. H1916–H1922. [CrossRef] [PubMed]
LaMack, J. A. , Himburg, H. A. , Li, X.-M. , and Friedman, M. H. , 2005, “ Interaction of Wall Shear Stress Magnitude and Gradient in the Prediction of Arterial Macromolecular Permeability,” Ann. Biomed. Eng., 33(4), pp. 457–464. [CrossRef] [PubMed]
Friedman, M. H. , Henderson, J. M. , Aukerman, J. A. , and Clingan, P. A. , 2000, “ Effect of Periodic Alterations in Shear on Vascular Macromolecular Uptake,” Biorheology, 37(4), pp. 265–277. [PubMed]
Friedman, M. H. , Deters, O. J. , Bargeron, C. B. , Hutchins, G. M. , and Mark, F. F. , 1986, “ Shear-Dependent Thickening of the Human Arterial Intima,” Atherosclerosis, 60(2), pp. l6l–l7l. [CrossRef]

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