The role of theoretical modeling in microcirculation research

Microcirculation

Volumn 15, Issue 8, 2008, Pages 693-698

  Secomb, Timothy W ^a   Beard, Daniel A ^b   Frisbee, Jefferson C ^c   Smith, Nicolas P ^d   Pries, Axel R ^e  

^a UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

^b MEDICAL COLLEGE OF WISCONSIN   (United States)

^c WEST VIRGINIA UNIVERSITY SCHOOL OF MEDICINE   (United States)

^d UNIVERSITY OF OXFORD   (United Kingdom)

^e CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

Author keywords

Review; Simulation; Theoretical model

Indexed keywords

ARTICLE; CONCEPTUAL FRAMEWORK; MICROCIRCULATION; PRIORITY JOURNAL; PUBLICATION; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; REPRODUCIBILITY; SYSTEM ANALYSIS; THEORETICAL MODEL;

ANIMALS; BIOLOGICAL TRANSPORT; CLASSIFICATION; COMPUTATIONAL BIOLOGY; HUMANS; INTERDISCIPLINARY COMMUNICATION; MICROCIRCULATION; MODELS, CARDIOVASCULAR; RESEARCH; RHEOLOGY;

EID: 57149092616     PISSN: 10739688     EISSN: 15498719     Source Type: Journal    
DOI: 10.1080/10739680802349734     Document Type: Article

References (24)

1. Barnard, ACL, Lopez, L. and Hellums, JD. (1968) Basic theory of blood flow in capillaries. Microvasc Res, 1, pp. 23-34.
2. Bassingthwaighte, JB. (2008) Microcirculation and the physiome projects. Microcirculation, 15, pp. 817-821.
3. Beard, DA. (2008) Cellular metabolism and microcirculatory transport. Microcirculation, 15, pp. 759-775.
4. Beard, DA and Bassingthwaighte, JB. (2001) Modeling advection and diffusion of oxygen in complex vascular networks. Ann Biomed Eng, 29, pp. 298-310.
5. Beard, DA, Bassingthwaighte, JB and Greene, AS. (2005) Computational modeling of physiological systems. Physiol Genom, 23, pp. 1-3.
6. Goldman, D. (2008) Theoretical models of microvascular oxygen transport to tissue. Microcirculation, 15, pp. 777-794.
7. Gross, JF and Popel, AS. (1980) Mathematics of Microcirculation Phenomena, Raven Press, New York
8. Hodgkin, AL and Huxley, AF. (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol, 117, pp. 500-544.
9. Hunter, P. and Nielsen, P. (2005) A strategy for integrative computational physiology. Physiology (Bethesda), 20, pp. 316-325.
10. Krogh, A. (1919) The number and the distribution of capillaries in muscle with the calculation of the oxygen pressure necessary for supplying the tissue. J Physiol (Lond), 52, pp. 409-515.
11. Lee, J. and Smith, NP. (2008) Theoretical modeling in hemodynamics of microcirculation. Microcirculation, 15, pp. 681-695.
12. MacGabhann, F. (2008) Systems biology of vascular endothelial growth factors. Microcirculation, 15, pp. 697-720.
13. Nickerson, D., Stevens, C., Halstead, M., Hunter, P. and Nielsen, P. (2006) Toward a curated CellML model repository. Conf Proc IEEE Eng Med Biol Soc, 1, pp. 4237-4240.
14. Noble, D. (2006) The Music of Life, Oxford University Press
15. Peirce, SM. (2008) Computational and mathematical modeling of angiogenesis. Microcirculation, 15, pp. 721-733.
16. Popel, AS. (1989) Theory of oxygen transport to tissue. Crit Rev Biomed Eng, 17, pp. 257-321.
17. Pries, AR, Neuhaus, D. and Gaehtgens, P. (1992) Blood viscosity in tube flow: Dependence on diameter and hematocrit. Am J Physiol, 263, pp. H1770-H1778.
18. Pries, AR and Secomb, TW. (2008) Modeling structural adaptation of microcirculation. Microcirculation, 15, pp. 735-745.
19. Pries, AR, Secomb, TW and Gaehtgens, P. (1998) Structural adaptation and stability of microvascular networks: Theory and simulations. Am J Physiol, 275, pp. H349-H360.
20. Rodbard, S. (1975) Vascular caliber. Cardiology, 60, pp. 4-49.
21. Secomb, TW. (2008) Theoretical models for regulation of blood flow. Microcirculation, 15, pp. 747-757.
22. Secomb, TW, Hsu, R., Park, EY and Dewhirst, MW. (2004) Green's function methods for analysis of oxygen delivery to tissue by microvascular networks. Ann Biomed Eng, 32, pp. 1519-1529.
23. Smith, NP, Crampin, EJ, Niederer, SA, Bassingthwaighte, JB and Beard, DA. (2007) Computational biology of cardiac myocytes: Proposed standards for the physiome. J Exp Biol, 210, pp. 1576-1583.
24. Tsoukias, NM. (2008) Nitric oxide transport in the microcirculation: insights from mathematical models. Microcirculation, 15, pp. 795-815.