Applicability of cable theory to vascular conducted responses

Biophysical Journal

Volumn 102, Issue 6, 2012, Pages 1352-1362

  Hald, Bjørn Olav ^a   Jensen, Lars Jørn ^a   Sørensen, Preben Graae ^a   Holstein Rathlou, Niels Henrik ^a   Brings Jacobsen, Jens Christian ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTERIOLE; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; ELECTROPHYSIOLOGY; IMPEDANCE; KINETICS; MEMBRANE; PHYSIOLOGY; RAT;

ANIMALS; ARTERIOLES; COMPUTER SIMULATION; ELECTRIC IMPEDANCE; ELECTROPHYSIOLOGICAL PHENOMENA; KINETICS; MEMBRANES; MODELS, BIOLOGICAL; RATS;

RATTUS;

EID: 84858766360     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1016/j.bpj.2012.01.055     Document Type: Article

References (41)

1. K.A. Dora, and S.L. Sandow C.J. Garland Myoendothelial gap junctions may provide the pathway for EDHF in mouse mesenteric artery J. Vasc. Res. 40 2003 480 490 (Pubitemid 37465096)
2. V.J. Schmidt, and S.E. Wölfle C. de Wit Gap junctions synchronize vascular tone within the microcirculation Pharmacol. Rep. 60 2008 68 74 (Pubitemid 351586544)
3. A.L. Hodgkin, and W.A.H. Rushton The electrical constants of a crustacean nerve fiber Proc. R. Soc. Med. 134 1946 444 479
4. G.D. Hirst, and T.O. Neild An analysis of excitatory junctional potentials recorded from arterioles J. Physiol. 280 1978 87 104 (Pubitemid 8398557)
5. G.J. Crane, and T.O. Neild An equation describing spread of membrane potential changes in a short segment of blood vessel Phys. Med. Biol. 44 1999 N217 N221
6. F. Gustafsson, and N. Holstein-Rathlou Conducted vasomotor responses in arterioles: characteristics, mechanisms and physiological significance Acta Physiol. Scand. 167 1999 11 21 (Pubitemid 29450295)
7. G.G. Emerson, T.O. Neild, and S.S. Segal Conduction of hyperpolarization along hamster feed arteries: augmentation by acetylcholine Am. J. Physiol. Heart Circ. Physiol. 283 2002 H102 H109
8. J.C.B. Jacobsen, and C. Aalkjaer N.H. Holstein-Rathlou Heterogeneity and weak coupling may explain the synchronization characteristics of cells in the arterial wall Philos. Transact. A Math. Phys. Eng. Sci. 366 2008 3483 3502
9. C. Aalkjaer, and H. Nilsson Vasomotion: cellular background for the oscillator and for the synchronization of smooth muscle cells Br. J. Pharmacol. 144 2005 605 616 (Pubitemid 40450306)
10. I.S. Bartlett, and G.J. Crane S.S. Segal Electrophysiological basis of arteriolar vasomotion in vivo J. Vasc. Res. 37 2000 568 575 (Pubitemid 32037632)
11. A. Kapela, S. Nagaraja, and N.M. Tsoukias A mathematical model of vasoreactivity in rat mesenteric arterioles. II. Conducted vasoreactivity Am. J. Physiol. Heart Circ. Physiol. 298 2010 H52 H65
12. Fall, C. P., E. S. Marland,..., J. J. Tyson, editors. 2002. Computational Cell Biology. Springer-Verlag, New York.
13. G.J. Crane, M.L. Hines, and T.O. Neild Simulating the spread of membrane potential changes in arteriolar networks Microcirculation 8 2001 33 43 (Pubitemid 33598124)
14. J. Keener, and J. Sneyd Mathematical Physiology 1998 Springer New York
15. Holt, G. 1998. A critical reexamination of some assumptions and implications of cable theory in neurobiology. PhD thesis, California Institute of Technology, Pasadena, CA.
16. J. Jack, D. Noble, and R.W. Tsien Electric Current Flow in Excitable Cells 1983 Oxford University Press Oxford, UK
17. T.L. Haas, and B.R. Duling Morphology favors an endothelial cell pathway for longitudinal conduction within arterioles Microvasc. Res. 53 1997 113 120 (Pubitemid 27202427)
18. S.L. Sandow, and C.E. Hill Incidence of myoendothelial gap junctions in the proximal and distal mesenteric arteries of the rat is suggestive of a role in endothelium-derived hyperpolarizing factor-mediated responses Circ. Res. 86 2000 341 346 (Pubitemid 30108829)
19. H.S. Silva, A. Kapela, and N.M. Tsoukias A mathematical model of plasma membrane electrophysiology and calcium dynamics in vascular endothelial cells Am. J. Physiol. Cell Physiol. 293 2007 C277 C293
20. 2+ dynamics in rat mesenteric smooth muscle cell: agonist and NO stimulation J. Theor. Biol. 253 2008 238 260
21. A. Kapela, A. Bezerianos, and N.M. Tsoukias A mathematical model of vasoreactivity in rat mesenteric arterioles. I. Myoendothelial communication Microcirculation 16 2009 694 713
22. A.C. Hindmarsh, and P.N. Brown C.S. Woodward SUNDIALS: suite of nonlinear and differential/algebraic equation solvers ACM Trans. Math. Softw. 31 2005 363 396
23. H.K. Diep, and E.J. Vigmond D.G. Welsh Defining electrical communication in skeletal muscle resistance arteries: a computational approach J. Physiol. 568 2005 267 281 (Pubitemid 41448636)
24. F.A. Chandra, G. Buzi, and J.C. Doyle Glycolytic oscillations and limits on robust efficiency Science 333 2011 187 192
25. S.E. Wölfle, and D.J. Chaston C.E. Hill Non-linear relationship between hyperpolarization and relaxation enables long distance propagation of vasodilatation J. Physiol. 589 2011 2607 2623
26. V channels limit conducted vasomotor responses in rat mesenteric terminal arterioles Pflugers Arch. 463 2012 279 295
27. C.H. Hakim, W.F. Jackson, and S.S. Segal Connexin isoform expression in smooth muscle cells and endothelial cells of hamster cheek pouch arterioles and retractor feed arteries Microcirculation 15 2008 503 514
28. R.C. Looft-Wilson, G.W. Payne, and S.S. Segal Connexin expression and conducted vasodilation along arteriolar endothelium in mouse skeletal muscle J. Appl. Physiol. 97 2004 1152 1158 (Pubitemid 39121446)
29. G.G. Emerson, and S.S. Segal Endothelial cell pathway for conduction of hyperpolarization and vasodilation along hamster feed artery Circ. Res. 86 2000 94 100 (Pubitemid 30044173)
30. S.L. Sandow, and R. Looft-Wilson C.E. Hill Expression of homocellular and heterocellular gap junctions in hamster arterioles and feed arteries Cardiovasc. Res. 60 2003 643 653 (Pubitemid 37501122)
31. P. Atkins, and J. de Paula Atkins' Physical Chemistry 9th ed. 2009 Oxford University Press Oxford, UK
32. G.D. Hirst, and T.O. Neild Some properties of spontaneous excitatory junction potentials recorded from arterioles of guinea-pigs J. Physiol. 303 1980 43 60
33. G.J. Crane, T.O. Neild, and S.S. Segal Contribution of active membrane processes to conducted hyperpolarization in arterioles of hamster cheek pouch Microcirculation 11 2004 425 433 (Pubitemid 39618620)
34. C. de Wit Different pathways with distinct properties conduct dilations in the microcirculation in vivo Cardiovasc. Res. 85 2010 604 613
35. X.F. Figueroa, and B.R. Duling Dissection of two Cx37-independent conducted vasodilator mechanisms by deletion of Cx40: electrotonic versus regenerative conduction Am. J. Physiol. Heart Circ. Physiol. 295 2008 H2001 H2007
36. X.F. Figueroa, and D.L. Paul B.R. Duling Central role of connexin40 in the propagation of electrically activated vasodilation in mouse cremasteric arterioles in vivo Circ. Res. 92 2003 793 800 (Pubitemid 36457645)
37. F. Gustafsson, and N.H. Holstein-Rathlou Angiotensin II modulates conducted vasoconstriction to norepinephrine and local electrical stimulation in rat mesenteric arterioles Cardiovasc. Res. 44 1999 176 184 (Pubitemid 29431695)
38. C. de Wit, and F. Roos U. Pohl Impaired conduction of vasodilation along arterioles in connexin40-deficient mice Circ. Res. 86 2000 649 655 (Pubitemid 30208432)
39. 2+ increases are independent of membrane potential in pressurized rat mesenteric arteries Cell Calcium 38 2005 23 33 (Pubitemid 40903757)
40. 2+ waves and arteriolar dilation in vivo: measurements in Cx40BAC GCaMP2 transgenic mice Circ. Res. 101 2007 1300 1309 (Pubitemid 350294647)
41. T.H. Braunstein, and R. Inoue L.J. Jensen The role of L- and T-type calcium channels in local and remote calcium responses in rat mesenteric terminal arterioles J. Vasc. Res. 46 2009 138 151