A mathematical model of plasma membrane electrophysiology and calcium dynamics in vascular endothelial cells

American Journal of Physiology - Cell Physiology

Volumn 293, Issue 1, 2007, Pages

  Silva, Haroldo S ^a   Kapela, Adam ^a   Tsoukias, Nikolaos M ^a  

^a Florida International University   (United States)

Author keywords

Calcium influx pathway(s), plasma membrane Ca2+ ATPase; Microcirculation; Vascular tone regulation

Indexed keywords

ANION CHANNEL; BUFFER; CALCIUM CHANNEL; POTASSIUM;

ARTICLE; BLOOD VESSEL TONE; CALCIUM CELL LEVEL; CALCIUM MOBILIZATION; CALCIUM SIGNALING; CALCIUM TRANSPORT; CELL FUNCTION; CELL MEMBRANE; CELL MEMBRANE PERMEABILITY; CELL MEMBRANE POTENTIAL; CONCENTRATION (PARAMETERS); HYPERPOLARIZATION; MATHEMATICAL MODEL; MEMBRANE ELECTROPHYSIOLOGY; MEMBRANE STEADY POTENTIAL; PRIORITY JOURNAL; SIMULATION; SMOOTH MUSCLE FIBER MEMBRANE; VASCULAR ENDOTHELIUM;

ANIMALS; ARTERIOLES; CALCIUM SIGNALING; CELL SIZE; CHLORIDE CHANNELS; COMPUTER SIMULATION; ELECTROPHYSIOLOGY; ENDOTHELIAL CELLS; ION CHANNELS; MEMBRANE POTENTIALS; MEMBRANE TRANSPORT MODULATORS; MESENTERY; MODELS, CARDIOVASCULAR; MUSCLE, SMOOTH, VASCULAR; PLASMA MEMBRANE CALCIUM-TRANSPORTING ATPASES; POTASSIUM; POTASSIUM CHANNELS, CALCIUM-ACTIVATED; RATS; REPRODUCIBILITY OF RESULTS; SARCOLEMMA; SARCOPLASMIC RETICULUM CALCIUM-TRANSPORTING ATPASES; SODIUM CHANNELS; VOLTAGE-DEPENDENT ANION CHANNELS;

EID: 34547119935     PISSN: 03636143     EISSN: 15221563     Source Type: Journal    
DOI: 10.1152/ajpcell.00542.2006     Document Type: Article

References (85)

1. Adams DJ, Hill MA. Potassium channels and membrane potential in the modulation of intracellular calcium in vascular endothelial cells. J Cardiovasc Electrophysiol 15: 598-610, 2004.
2. + current in mouse aortic endothelial cells. Pflügers Arch 447: 426-435, 2004.
3. Barakat AI, Lieu DK, Gojova A. Secrets of the code: do vascular endothelial cells use ion channels to decipher complex flow signals? Biomaterials 27: 671-678, 2006.
4. Bautista DM, Hoth M, Lewis RS. Enhancement of calcium signalling dynamics and stability by delayed modulation of the plasma-membrane calcium-ATPase in human T cells. J Physiol 541: 877-894, 2002.
5. Berridge MJ, Lipp P, Bootman MD. The versatility and universality of calcium signalling. Nat Rev Mol Cell Biol 1: 11-21, 2000.
6. Bondarenko A. Sodium-calcium exchanger contributes to membrane hyperpolarization of intact endothelial cells from rat aorta during acetylcholine stimulation. Br J Pharmacol 143: 9-18, 2004.
7. 2+ signalling. EMBO J 19: 4926-4935, 2000.
8. Bui TD, Dabdub D, George SC. Modeling bronchial circulation with application to soluble gas exchange: description and sensitivity analysis. J Appl Physiol 84: 2070-2088, 1998.
9. + channel in porcine coronary artery endothelium: relevance to EDHF. Br J Pharmacol 135: 1133-1143, 2002.
10. + channel in porcine coronary endothelium: relevance to EDHF. Br J Pharmacol 137: 1346-1354, 2002.
11. 2+ spikes. J Physiol 504: 17-33, 1997.
12. 2+ pump inhibitor. Am J Physiol Cell Physiol 280: C1027-C1030, 2001.
13. 2+ in arteriolar endothelial cells. Microcirculation 12: 169-182, 2005.
14. Coleman HA, Tare M, Parkington HC. Endothelial potassium channels, endothelium-dependent hyperpolarization and the regulation of vascular tone in health and disease. Clin Exp Pharmacol Physiol 31: 641-649, 2004.
15. Coleman HA, Tare M, Parkington HC. K+ currents underlying the action of endothelium-derived hyperpolarizing factor in guinea-pig, rat and human blood vessels. J Physiol 531: 359-373, 2001.
16. + channels provide different facets of endothelium-dependent hyperpolarization in rat mesenteric artery. J Physiol 553: 183-189, 2003.
17. Crane GJ, Walker SD, Dora KA, Garland CJ. Evidence for a differential cellular distribution of inward rectifier K channels in the rat isolated mesenteric artery. J Vasc Res 40: 159-168, 2003.
18. 2+- and ATP-sensitive cationic channels in brain capillary endothelium. Biophys J 85: 313-327, 2003.
19. Derwent R, Hov O. Application of sensitivity and uncertainty analysis techniques to a photochemical ozone model. J Geophys Res 93: 5185-5199, 1988.
20. Despa S, Brette F, Orchard CH, Bers DM. Na/Ca exchange and Na/K-ATPase function are equally concentrated in transverse tubules of rat ventricular myocytes. Biophys J 85: 3388-3396, 2003.
21. Diecke FP, Wen Q, Iserovich P, Li J, Kuang K, Fischbarg J. Regulation of Na-K-2Cl cotransport in cultured bovine corneal endothelial cells. Exp Eye Res 80: 777-785, 2005.
22. + in the rat isolated mesenteric artery. Am J Physiol Heart Circ Physiol 280: H2424-H2429, 2001.
23. Dora KA, Garland CJ, Kwan HY, Yao X. Endothelial cell protein kinase G inhibits release of EDHF through a PKG-sensitive cation channel. Am J Physiol Heart Circ Physiol 280: H1272-H1277, 2001.
24. Dora KA, Xia J, Duling BR. Endothelial cell signaling during conducted vasomotor responses. Am J Physiol Heart Circ Physiol 285: H119-H126, 2003.
25. Doughty JM, Boyle JP, Langton PD. Blockade of chloride channels reveals relaxations of rat small mesenteric arteries to raised potassium. Br J Pharmacol 132: 293-301, 2001.
26. Draper NR, Smith H. Applied Regression Analysis. New York: Wiley, 1981.
27. 2+-activated chloride channel in cultured human umbilical vein endothelial cells. Acta Pharmacol Sin 25: 327-333, 2004.
28. Fink CC, Slepchenko B, Loew LM. Determination of time-dependent inositol-1,4,5-trisphosphate concentrations during calcium release in a smooth muscle cell. Biophys J 77: 617-628, 1999.
29. -/- mice. Nat Cell Biol 3: 121-127, 2001.
30. 2+ buffering and electrical activity in mouse pancreatic beta-cells. Biophys J 76: 2018-2028, 1999.
31. Goto K, Rummery NM, Grayson TH, 1Hill CE. Attenuation of conducted vasodilatation in rat mesenteric arteries during hypertension: role of inwardly rectifying potassium channels. J Physiol 561: 215-231, 2004.
32. Gustafsson F, Holstein-Rathlou N. Conducted vasomotor responses in arterioles: characteristics, mechanisms and physiological significance. Acta Physiol Scand 167: 11-21, 1999.
33. Hartzell C, Putzier I, Arreola J. Calcium-activated chloride channels. Annu Rev Physiol 67: 719-758, 2005.
34. Hille B, Schwarz W. Potassium channels as multi-ion single-file pores. J Gen Physiol 72: 409-442, 1978.
35. 2+ exchanger type-1 in vascular smooth muscle. Nat Med 10: 1193-1199, 2004
36. Jacob R. Calcium oscillations in endothelial cells. Cell Calcium 12: 127-134, 1991.
37. 2+ dynamics: the roles of ryanodine receptor adaptation and sarcoplasmic r. eticulum load. Biophys J 74: 1149-1168, 1998.
38. Jow F, Numann R. Divalent ion block of inward rectifier current in human capillary endothelial cells and effects on resting membrane potential. J Physiol 512: 119-128, 1998.
39. in and activates Ca-K and nonselective cation currents in cultured human capillary endothelial cells. J Membr Biol 173: 107-116, 2000.
40. Kamouchi M, Mamin A, Droogmans G, Nilius B. Nonselective cation channels in endothelial cells derived from human umbilical vein. J Membr Biol 169: 29-38, 1999.
41. - cotransport in cultured brain capillary endothelial cells of the rat. J Neurochem 66: 2572-2579, 1996.
42. 2+ pump in endothelium. Am J Physiol Cell Physiol 274: C1117-C1128, 1998.
43. Koenigsberger M, Sauser R, Beny JL, Meister JJ. Role of the endothelium on arterial vasomotion. Biophys J 88: 3845-3854, 2005.
44. Korngreen A, Gold'shtein V, Priel Z. A realistic model of biphasic calcium transients in electrically nonexcitable cells. Biophys J 73: 659-673, 1997.
45. Lacy PS, Pilkington G, Hanvesakul R, Fish HJ, Boyle JP, Thurston H. Evidence against potassium as an endothelium-derived hyperpolarizing factor in rat mesenteric small arteries. Br J Pharmacol 129: 605-611, 2000.
46. Levitan I, Christian AE, Tulenko TN, Rothblat GH. Membrane cholesterol content modulates activation of volume-regulated anion current in bovine endothelial cells. J Gen Physiol 115: 405-416, 2000.
47. Lindblad DS, Murphey CR, Clark JW, Giles WR. A model of the action potential and underlying membrane currents in a rabbit atrial cell. Am J Physiol Heart Circ Physiol 271: H1666-H1696, 1996.
48. 2+-ATPase isoform 3. J Biol Chem 272: 30538-30545, 1997.
49. 2+ response to acetylcholine in endothelial cells from aorta of aldosterone-salt hypertensive rats. Am J Hypertens 8: 404-408, 1995.
50. + channels. Annu Rev Physiol 66: 103-129, 2004.
51. Luckhoff A, Busse R. Calcium influx into endothelial cells and formation of endothelium-derived relaxing factor is controlled by the membrane potential. Pflügers Arch 416: 305-311, 1990.
52. Marrelli SP, Eckmann MS, Hunte MS. Role of endothelial intermediate conductance KCa channels in cerebral EDHF-mediated dilations. Am J Physiol Heart Circ Physiol 285: H1590-H1599, 2003.
53. Mauban JR, Wier WG. Essential role of EDHF in the initiation and maintenance of adrenergic vasomotion in rat mesenteric arteries. Am J Physiol Heart Circ Physiol 287: H608-H616, 2004.
54. 2+ increases are independent of membrane potential in pressurized rat mesenteric arteries. Cell Calcium 38: 28-33, 2005.
55. Nilius B, Droogmans G. Ion channels and their functional role in vascular endothelium. Physiol Rev 81: 1415-1459, 2001.
56. Nilius B, Viana F, Droogmans G. Ion channels in vascular endothelium. Annu Rev Physiol 59: 145-170, 1997.
57. Nonner W, Chen DP, Eisenberg B. Anomalous mole fraction effect, electrostatics, and binding in ionic channels. Biophys J 74: 2327-2334, 1998.
58. O'Donnell ME. Role of Na-K-Cl cotransport in vascular endothelial cell volume regulation. Am J Physiol Cell Physiol 264: C1316-C1326, 1993.
59. 2+ entry in cultured human aortic endothelial cells. J Physiol 511: 837-849, 1998.
60. 2+-ATPase. J Physiol 524: 701-713, 2000.
61. Parekh AB, Putney JW Jr. Store-operated calcium channels. Physiol Rev 85: 757-810, 2005.
62. - channels in pancreatic acinar cells. Proc Natl Acad Sci USA 98: 10948-10953, 2001.
63. Park SJ, Kim YC, Suh SH, Rhim H, Sim JH, Kim SJ, So I, Kim KW. Background nonselective cationic current and the resting membrane potential in rabbit aorta endothelial cells. Jpn J Physiol 50: 635-643, 2000.
64. Sage SO, van Breemen C, Cannell MB. Sodium-calcium exchange in cultured bovine pulmonary artery endothelial cells. J Physiol 440: 569-580, 1991.
65. Sandow SL, Tare M, Coleman HA, Hill CE, Parkington HC. Involvement of myoendothelial gap junctions in the actions of endotheliumderived hyperpolarizing factor. Circ Res 90: 1108-1113, 2002.
66. 2+ exchanger in endothelial NO production and endothelium-dependent relaxation. Am J Physiol Heart Circ Physiol 283: H837-H844, 2002.
67. Schuster A, Beny JL, Meister JJ. Modelling the electrophysiological endothelial cell response to bradykinin. Eur Biophys J 32: 370-380, 2003.
68. 2+ entry in bovine vascular endothelial cells. Cell Calcium 25: 333-343, 1999.
69. 2+ store depletion in bovine vascular endothelial cells. J Physiol 523: 549-559, 2000.
70. Smith NP, Crampin EJ. Development of models of active ion transport for whole-cell modelling: cardiac sodium-potassium pump as a case study. Prog Biophys Mol Biol 85: 387-405, 2004.
71. Strieter J, Stephenson JL, Palmer LG, Weinstein AM. Volume-activated chloride permeability can mediate cell volume regulation in a mathematical model of a tight epithelium. J Gen Physiol 96: 319-344, 1990.
72. 2+ signalling. Pflügers Arch 438: 612-620, 1999.
73. Takano H, Dora KA, Spitaler MM, Garland CJ. Spreading dilatation in rat mesenteric arteries associated with calcium-independent endothelial cell hyperpolarization. J Physiol 556: 887-903, 2004.
74. Tran QK, Ohashi K, Watanabe H. Calcium signalling in endothelial cells. Cardiovasc Res 48: 13-22, 2000.
75. + channels in freshly dissociated coronary endothelial cells from guineapig heart. J Physiol 491: 357-365, 1996.
76. Weber CR, Ginsburg KS, Philipson KD, Shannon TR, Bers DM. Allosteric regulation of Na/Ca exchange current by cytosolic Ca in intact cardiac myocytes. J Gen Physiol 117: 119-131, 2001.
77. Wiesner TF, Berk BC, Nerem RM. A mathematical model of cytosolic calcium dynamics in human umbilical vein endothelial cells. Am J Physiol Cell Physiol 270: C1556-C1569, 1996.
78. Wiesner TF, Berk BC, Nerem RM. A mathematical model of the cytosolic-free calcium response in endothelial cells to fluid shear stress. Proc Natl Acad Sci USA 94: 3726-3731, 1997.
79. Winslow RL, Scollan DF, Holmes A, Yung CK, Zhang J, Jafri MS. Electrophysiological modeling of cardiac ventricular function: from cell to organ. Annu Rev Biomed Eng 2: 119-155, 2000.
80. Wong AY, Klassen GA. A model of electrical activity and cytosolic calcium dynamics in vascular endothelial cells in response to fluid shear stress. Ann Biomed Eng 23: 822-832, 1995.
81. Xia XM, Fakler B, Rivard A, Wayman G, Johnson-Pais T, Keen JE, Ishii T, Hirschberg B, Bond CT, Lutsenko S, Maylie J, Adelman JP. Mechanism of calcium gating in small-conductance calcium-activated potassium channels. Nature 395: 503-507, 1998.
82. Yamanaka A, Ishikawa T, Goto K. Characterization of endotheliumdependent relaxation independent of NO and prostaglandins in guinea pig coronary artery. J Pharmacol Exp Ther 285: 480-489, 1998.
83. Yang J, Clark JW Jr, Bryan RM, Robertson C. The myogenic response in isolated rat cerebrovascular arteries: smooth muscle cell model. Med Eng Phys 25: 691-709, 2003.
84. + pump alpha1-subunit expressed in HEK 293 cells. Biochim Biophys Acta 1509: 155-166, 2000.
85. 2+ of human cardiac endothelial cells. Pharmacol Toxicol 85: 7-15, 1999.