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Articles

Theoretical Models for Regulation of Blood Flow

Pages 765-775 | Received 18 Mar 2008, Published online: 10 Jul 2009

References

  • Arciero JC, Carlson BE, Secomb TW (2008). Theoretical model of metabolic blood flow regulation: roles of ATP release by red blood cells and conducted responses. Am J Physiol Heart Circ Physiol In press.
  • Beach JM, McGahren ED, Duling BR. Capillaries and arterioles are electrically coupled in hamster cheek pouch. Am J Physiol 1998; 275: H1489–H1496
  • Bergfeld GR, Forrester T. Release of ATP from human erythrocytes in response to a brief period of hypoxia and hypercapnia. Cardiovasc Res 1992; 26: 40–47
  • Borgstrom P, Gestrelius S. Integrated myogenic and metabolic control of vascular tone in skeletal muscle during autoregulation of blood flow. Microvasc Res 1987; 33: 353–376
  • Borgstrom P, Grande PO. Myogenic microvascular responses to change of transmural pressure. A mathematical approach. Acta Physiol Scand 1979; 106: 411–423
  • Bund SJ. Spontaneously hypertensive rat resistance artery structure related to myogenic and mechanical properties. Clin Sci (Lond) 2001; 101: 385–393
  • Carlson BE, Arciero JC, Secomb TW (2008). Theoretical model of blood flow autoregulation: roles of myogenic, shear-dependent, and metabolic responses. Am J Physiol Heart Circ Physiol In press.
  • Carlson BE, Secomb TW. A theoretical model for the myogenic response based on the mechanics of vascular smooth muscle. Microcirculation 2005; 12: 327–338
  • Chen K, Popel AS. Theoretical analysis of biochemical pathways of nitric oxide release from vascular endothelial cells. Free Radic Biol Med 2006; 41: 668–680
  • Christ GJ, Spray DC, el Sabban M, Moore LK, Brink PR. Gap junctions in vascular tissues. Evaluating the role of intercellular communication in the modulation of vasomotor tone. Circ Res 1996; 79: 631–646
  • Collins DM, McCullough WT, Ellsworth ML. Conducted vascular responses: communication across the capillary bed. Microvasc Res 1998; 56: 43–53
  • Cornelissen AJ, Dankelman J, VanBavel E, Spaan JA. Balance between myogenic, flow-dependent, and metabolic flow control in coronary arterial tree: a model study. Am J Physiol Heart Circ Physiol 2002; 282: H2224–H2237
  • Dietrich HH. Effect of locally applied epinephrine and norepinephrine on blood flow and diameter in capillaries of rat mesentery. Microvasc Res 1989; 38: 125–135
  • Dietrich HH, Ellsworth ML, Sprague RS, Dacey RG, Jr. Red blood cell regulation of microvascular tone through adenosine triphosphate. Am J Physiol Heart Circ Physiol 2000; 278: H1294–H1298
  • Dietrich HH, Tyml K. Microvascular flow response to localized application of norepinephrine on capillaries in rat and frog skeletal muscle. Microvasc Res 1992; 43: 73–86
  • Duling BR. Microvascular responses to alterations in oxygen tension. Circ Res 1972; 31: 481–489
  • Duling BR, Berne RM. Longitudinal gradients in periarteriolar oxygen tension. A possible mechanism for the participation of oxygen in local regulation of blood flow. Circ Res 1970; 27: 669–678
  • Duling BR, Damon DH. An examination of the measurement of flow heterogeneity in striated muscle. Circ Res 1987; 60: 1–13
  • Duling BR, Hogan RD, Langille BL, Lelkes P, Segal SS, Vatner SF, Weigelt H, Young MA. Vasomotor control: functional hyperemia and beyond. Fed Proc 1987; 46: 251–263
  • Ellsworth ML. The red blood cell as an oxygen sensor: what is the evidence?. Acta Physiol Scand 2000; 168: 551–559
  • Ellsworth ML. Red blood cell-derived ATP as a regulator of skeletal muscle perfusion. Med Sci Sports Exerc 2004; 36: 35–41
  • Feldberg R, Colding-Jorgensen M, Holstein-Rathlou NH. Analysis of interaction between TGF and the myogenic response in renal blood flow autoregulation. Am J Physiol 1995; 269: F581–F593
  • Friebel M, Klotz KF, Ley K, Gaehtgens P, Pries AR. Flow-dependent regulation of arteriolar diameter in rat skeletal muscle in situ: role of endothelium-derived relaxing factor and prostanoids. J Physiol (Lond) 1995; 483(Pt 3)715–726
  • Frisbee JC. Regulation of in situ skeletal muscle arteriolar tone: interactions between two parameters. Microcirculation 2002; 9: 443–462
  • Fung YC. Biomechanics: CirculationSecond edition. Springer-Verlag, New York 1997
  • Gao E, Young WL, Hademenos GJ, Massoud TF, Sciacca RR, Ma Q, Joshi S, Mast H, Mohr JP, Vulliemoz S, Pile-Spellman J. Theoretical modelling of arteriovenous malformation rupture risk: a feasibility and validation study. Med Eng Phys 1998; 20: 489–501
  • Gaskell WH. Further researches on the vasomotor nerves of ordinary muscles. J Physiol 1878; 1: 262–426
  • Gonzalez-Fernandez JM, Ermentrout B. On the origin and dynamics of the vasomotion of small arteries. Math Biosci 1994; 119: 127–167
  • Griffith TM, Edwards DH. EDRF suppresses chaotic pressure oscillations in isolated resistance artery without influencing intrinsic complexity. Am J Physiol 1994; 266: H1786–H1800
  • Groebe K. Precapillary servo control of blood pressure and postcapillary adjustment of flow to tissue metabolic status. A new paradigm for local perfusion regulation. Circulation 1996; 94: 1876–1885
  • Gustafsson F, Holstein-Rathlou N. Conducted vasomotor responses in arterioles: characteristics, mechanisms, and physiological significance. Acta Physiol Scand 1999; 167: 11–21
  • Guyton AC, Langston JB, Navar G. Theory for renal autoregulation by feedback at the juxtaglomerular apparatus. Circ Res 1964; 15(Supplement I)187–196
  • Hester RL. Venular-arteriolar diffusion of adenosine in hamster cremaster microcirculation. Am J Physiol 1990; 258: H1918–H1924
  • Iida N. Physical properties of resistance vessel wall in peripheral blood flow regulation—I. Mathematical model. J Biomech 1989; 22: 109–117
  • Jackson WF. Arteriolar oxygen reactivity: where is the sensor?. Am J Physiol 1987; 253: H1120–H1126
  • Jacobsen JC, Aalkjaer C, Nilsson H, Matchkov VV, Freiberg J, Holstein-Rathlou NH. Activation of a cGMP-sensitive calcium-dependent chloride channel may cause transition from calcium waves to whole cell oscillations in smooth muscle cells. Am J Physiol Heart Circ Physiol 2007; 293: H215–H228
  • Johnson PC (1980). The myogenic response. In: Bohr DF, Somlyo AP, Sparks HV, Jr. Handbook of Physiology, Section 2, The Cardiovascular System, Vol. II: Vascular Smooth Muscle (pp. 409–442). Bethesda, MD: American Physiological Society.
  • Johnson PC, Intaglietta M. Contributions of pressure and flow sensitivity to autoregulation in mesenteric arterioles. Am J Physiol 1976; 231: 1686–1698
  • Kavdia M, Popel AS. Contribution of nNOS- and eNOS-derived NO to microvascular smooth muscle NO exposure. J Appl Physiol 2004; 97: 293–301
  • Koller A, Kaley G. Endothelium regulates skeletal muscle microcirculation by a blood flow velocity sensing mechanism. Am J Physiol 1990; 258: H916–H920
  • Kuo L, Chilian WM, Davis MJ. Coronary arteriolar myogenic response is independent of endothelium. Circ Res 1990; 66: 860–866
  • Kuo L, Chilian WM, Davis MJ. Interaction of pressure- and flow-induced responses in porcine coronary resistance vessels. Am J Physiol 1991; 261: H1706–H1715
  • Kuo L, Davis MJ, Chilian WM. Endothelium-dependent, flow-induced dilation of isolated coronary arterioles. Am J Physiol 1990; 259: H1063–H1070
  • Layton AT, Moore LC, Layton HE. Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats. Am J Physiol Renal Physiol 2006; 291: F79–F97
  • Lee S, Schmid-Schonbein GW. Biomechanical model for the myogenic response in the microcirculation: Part I—formulation and initial testing. J Biomech Eng 1996; 118: 145–151
  • Liao JC, Kuo L. Interaction between adenosine and flow-induced dilation in coronary microvascular network. Am J Physiol 1997; 272: H1571–H1581
  • Lipowsky HH, Zweifach BW. Network analysis of microcirculation of cat mesentery. Microvasc Res 1974; 7: 73–83
  • Lo A, Fuglevand AJ, Secomb TW. Oxygen delivery to skeletal muscle fibers: effects of microvascular unit structure and control mechanisms. Am J Physiol Heart Circ Physiol 2003; 285: H955–H963
  • Loutzenhiser R, Griffin K, Williamson G, Bidani A. Renal autoregulation: new perspectives regarding the protective and regulatory roles of the underlying mechanisms. Am J Physiol Regul Integr Comp Physiol 2006; 290: R1153–R1167
  • Marsh DJ, Sosnovtseva OV, Mosekilde E, Holstein-Rathlou NH. Vascular coupling induces synchronization, quasiperiodicity, and chaos in a nephron tree. Chaos 2007; 17: 015114
  • Meyer JU, Borgstrom P, Lindbom L, Intaglietta M. Vasomotion patterns in skeletal muscle arterioles during changes in arterial pressure. Microvasc Res 1988; 35: 193–203
  • Meyer JU, Lindbom L, Intaglietta M. Coordinated diameter oscillations at arteriolar bifurcations in skeletal muscle. Am J Physiol 1987; 253: H568–H573
  • Nilsson H, Aalkjaer C. Vasomotion: mechanisms and physiological importance. Mol Interv :79–89 2003; 3: 51
  • Parthimos D, Edwards DH, Griffith TM. Minimal model of arterial chaos generated by coupled intracellular and membrane Ca2 +  oscillators. Am J Physiol 1999; 277: H1119–H1144
  • Pohl U, de Wit C, Gloe T. Large arterioles in the control of blood flow: role of endothelium-dependent dilation. Acta Physiol Scand 2000; 168: 505–510
  • Pries AR, Secomb TW, Gaehtgens P. Structure and hemodynamics of microvascular networks: heterogeneity and correlations. Am J Physiol 1995; 269: H1713–H1722
  • Pries AR, Secomb TW, Gaehtgens P. Structural autoregulation of terminal vascular beds: vascular adaptation and development of hypertension. Hypertension 1999; 33: 153–161
  • Pries AR, Secomb TW, Gessner T, Sperandio MB, Gross JF, Gaehtgens P. Resistance to blood flow in microvessels in vivo. Circ Res 1994; 75: 904–915
  • Rodbard S. Vascular caliber. Cardiology 1975; 60: 4–49
  • Saito Y, Eraslan A, Lockard V, Hester RL. Role of venular endothelium in control of arteriolar diameter during functional hyperemia. Am J Physiol 1994; 267: H1227–H1231
  • Schretzenmayr A. On the process of circulatory regulation in the large arteries during muscular work. Pflügers Arch Ges Physiol 1933; 232: 743–748
  • Secomb TW, Hsu R, Pries AR. Effect of the endothelial surface layer on transmission of fluid shear stress to endothelial cells. Biorheology 2001; 38: 143–150
  • Secomb TW, Intaglietta M, Gross JF. Effects of vasomotion on microcirculatory mass transport. Progr Appl Microcirc 1989; 15: 49–61
  • Secomb TW, Pries AR. Information transfer in microvascular networks. Microcirculation 2002; 9: 377–387
  • Segal SS, Jacobs TL. Role for endothelial cell conduction in ascending vasodilatation and exercise hyperaemia in hamster skeletal muscle. J Physiol 2001; 536: 937–946
  • Sun D, Huang A, Koller A, Kaley G. Flow-dependent dilation and myogenic constriction interact to establish the resistance of skeletal muscle arterioles. Microcirculation 1995; 2: 289–295
  • Tigno XT, Ley K, Pries AR, Gaehtgens P. Venulo-arteriolar communication and propagated response: a possible mechanism for local control of blood flow. Pflügers Arch 1989; 414: 450–456
  • Tyml K, Song H, Munoz P, Ouellette Y. Evidence for K+ channels involvement in capillary sensing and for bidirectionality in capillary communication. Microvasc Res 1997; 53: 245–253
  • Ursino M, Cavalcanti S, Bertuglia S, Colantuoni A. Theoretical analysis of complex oscillations in multibranched microvascular networks. Microvasc Res 1996; 51: 229–249
  • Ursino M, Colantuoni A, Bertuglia S. Vasomotion and blood flow regulation in hamster skeletal muscle microcirculation: a theoretical and experimental study. Microvasc Res 1998; 56: 233–252
  • Walley KR. Heterogeneity of oxygen delivery impairs oxygen extraction by peripheral tissues: theory. J Appl Physiol 1996; 81: 885–894
  • Yang J, Clark JW, Jr, Bryan RM, Robertson C. The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell model. Med Eng Phys 2003; 25: 691–709
  • Yang J, Clark JW, Jr., Bryan RM, Robertson CS. The myogenic response in isolated rat cerebrovascular arteries: vessel model. Med Eng Phys 2003; 25: 711–717
  • Yang J, Clark JW, Bryan RM, Robertson CS. Mathematical modeling of the nitric oxide/cGMP pathway in the vascular smooth muscle cell. Am J Physiol Heart Circ Physiol 2005; 289: H886–H897

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