Mathematical model of nitric oxide convection and diffusion in a renal medullary vas rectum

Journal of Mathematical Biology

Volumn 53, Issue 3, 2006, Pages 385-420

  Zhang, Wensheng ^a   Edwards, Aurélie ^a  

^a Tufts University   (United States)

Author keywords

Kidney; Medullary blood flow; Superoxide; Transport

Indexed keywords

NITRIC OXIDE;

ACTIVE TRANSPORT; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BLOOD; BLOOD FLOW VELOCITY; COMPARATIVE STUDY; DIFFUSION; KIDNEY CIRCULATION; KIDNEY MEDULLA; MATHEMATICS; METABOLISM; MICROCIRCULATION; RAT; VASCULARIZATION;

ANIMALS; BIOLOGICAL TRANSPORT, ACTIVE; BLOOD FLOW VELOCITY; DIFFUSION; KIDNEY MEDULLA; MATHEMATICS; MICROCIRCULATION; MODELS, BIOLOGICAL; NITRIC OXIDE; RATS; RENAL CIRCULATION;

EID: 33748154683     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-006-0018-x     Document Type: Article

References (63)

1. Ayajiki, K., Kindermann, M., Hecker, M., Fleming, I., Busse, R.: Intracellular pH and Tyrosine phosphorylation but not calcium determine shear stress-induced nitric oxide production in native endothelial cells. Circ. Res. 78, 750-758 (1996)
2. Boo, Y.C., Jo, H.: Flow-dependent regulation of endothelial nitric oxide synthase: role of protein kinases. Am. J. Physiol. Cell. Physiol. 285, C499-508 (2003)
3. Buerk, D.G., Lamkin-Kennard, K., Jaron, D.: Modeling the influence of superoxide dismutase on superoxide and nitric oxide interactions, including reversible inhibition of oxygen consumption. Free Radic. Biol. Med. 34, 1488-1503 (2003)
4. Cai, Z., Xin, J., Pollock, D.M., Pollock, J.S.: Shear stress-mediated NO production in inner medullary collecting duct cells. Am. J. Physiol. Renal. Physiol. 279, F270-F274 (2000)
5. Cassoly, R., Gibson, Q.: Conformation, co-operativity and ligand binding in human hemoglobin. J. Mol. Biol. 91, 301-313 (1975)
6. Chiu, J.J., Wung, B.S., Shyy, J.Y.J., Hsieh, H.J., Wang, D.L.: Reactive oxygen species are involved in shear stress-induced intercellular adhesion molecule-1 expression in endothelial cells. Arterioscler. Thromb. Vasc. Biol. 17, 3570-3577 (1997)
7. Condorelli, P., George, S.C.: In vivo control of soluble guanylate cyclase activation by nitric oxide: a kinetic analysis. Biophys. J. 80, 2110-2119 (2001)
8. Cowley, A.W., Jr., Mori, T., Mattson, D., Zou, A.P.: Role of renal NO production in the regulation of medullary blood flow. Am. J. Physiol. Regul. Integr. Comp. Physiol. 284, R1355-R1369 (2003)
9. De Keulenaer, G.W., Chappell, D.C., Ishizaka, N., Nerem, R.M., Alexander, R.W., Griendling, K.K.: Oscillatory and steady laminar shear stress differentially affect human endothelial redox state: role of a superoxide-producing NADH oxidase. Circ. Res. 82, 1094-1101 (1998)
10. Deen, W.M.: Analysis of transport phenomena. Oxford University Press, New York (1998)
11. Denicola, A., Souza, J.M., Radi, R., Lissi, E.: Nitric oxide diffusion in membranes determined by fluorescence quenching. Arch. Biochem. Biophys. 328, 208-212 (1996)
12. Dickhout, J.G., Mori, T., Cowley, A.W. Jr.: Tubulovascular nitric oxide crosstalk: buffering of angiotensin II-induced medullary vasoconstriction. Circ. Res. 91, 487-493 (2002)
13. Edwards, A., Pallone, T.L.: A multiunit model of solute and water removal by inner medullary vasa recta. Am. J. Physiol. Heart Circ. Physiol. 274, H1202-H1210 (1998)
14. Eich, R.F., Li, T., Lemon, D.D., Doherty, D.H., Curry, S.R., Aitken, J.F., Mathews, A.J., Johnson, K.A., Smith, R.D., Phillips, G.N. Jr., Olson, J.S.: Mechanism of NO-induced oxidation of myoglobin and hemoglobin. Biochemistry 35, 6976-6983 (1996)
15. El-Farra, N.H., Christofides, P.D., Liao, J.C.: Analysis of nitric oxide consumption by erythrocytes in blood vessels using a distributed multicellular model. Ann. Biomed. Eng. 31, 294-309 (2003)
16. Fung, Y., Zweifach, B.: Microcirculation: mechanics of blood flow in capillaries. Annu. Rev. Fluid Mech. 3, 189-210 (1971)
17. Gladwin, M.T., Lancaster, J.R., Jr., Freeman, B.A., Schechter, A.N.: Nitric oxide's reactions with hemoglobin: a view through the SNO-storm. Nat. Med. 9, 496-500 (2003)
18. Herscovitch, P., Raichle, M.E.: What is the correct value for the brain-blood partition coefficient for water? J. Cereb. Blood. Flow. Metab. 5, 65-69 (1985)
19. Hogg, N.: The biochemistry and physiology of S-nitrosothiols. Annu. Rev. Pharmacol. Toxicol. 42, 585-600 (2002)
20. Holliger, C., Lemley, K.V., Schmitt, S.L., Thomas, F.C., Robertson, C.R., Jamison, R.L.: Direct determination of vasa recta blood flow in the rat renal papilla. Circ. Res. 53, 401-413 (1983)
21. Hsieh, H.J., Cheng, C.C., Wu, S.T., Chiu, J.J., Wung, B.S., Wang, D.L.: Increase of reactive oxygen species (ROS) in endothelial cells by shear flow and involvement of ROS in shear-induced c-fos expression. J. Cell. Physiol. 175, 156-162 (1998)
22. Huie, R.E., Padmaja, S.: The reaction of NO with superoxide. Free Radic. Res. Commun. 18, 195-199 (1993)
23. Kanai, A.J., Strauss, H.C., Truskey, G.A., Crews, A.L., Grunfeld, S., Malinski, T.: Shear stress induces ATP-independent transient nitric oxide release from vascular endothelial cells, measured directly with a porphyrinic microsensor. Circ. Res. 77, 284-293 (1995)
24. 2 carriers. Microvasc. Res. 66, 49-58 (2003)
25. Kone, B.C.: Nitric oxide synthesis in the kidney: isoforms, biosynthesis, and functions in health. Semin. Nephrol. 24, 299-315 (2004)
26. Kone, B.C.: Protein-protein interactions controlling nitric oxide synthases. Acta Physiol. Scand. 168, 27-31 (2000)
27. Kuchan, M.J., Frangos, J.A.: Role of calcium and calmodulin in flow-induced nitric oxide production in endothelial cells. Am. J. Physiol. Cell. Physiol. 266, C628-636 (1994)
28. Lamkin-Kennard, K.A., Buerk, D.G., Jaron, D.: Interactions between NO and O2 in the microcirculation: a mathematical analysis. Microvasc. Res. 68, 38-50 (2004)
29. Layton, A.T., Layton, H.E.: A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. I. Formulation and base-case results. Am. J. Physiol. Renal. Physiol. 289, F1346-F1366 (2005)
30. Layton, A.T., Pannabecker, T.L., Dantzler, W.H., Layton, H.E.: Two modes for concentrating urine in rat inner medulla. Am. J. Physiol. Renal. Physiol. 287, F816-F839 (2004)
31. Lemley, K.V., Kriz, W.: Anatomy of the renal interstitium. Kidney Int. 39, 370-381 (1991)
32. Long, D.S., Smith, M.L., Pries, A.R., Ley, K., Damiano, E.R.: Microviscometry reveals reduced blood viscosity and altered shear rate and shear stress profiles in microvessels after hemodilution. Proc. Natl. Acad. Sci. USA 101, 10060-10065 (2004)
33. Malinski, T., Taha, Z., Grunfeld, S., Patton, S., Kapturczak, M., Tomboulian, P.: Diffusion of nitric oxide in the aorta wall monitored in situ by porphyrinic microsensors. Biochem. Biophys. Res. Commun. 193, 1076-1082 (1993)
34. Mchedlishvili, G., Maeda, N.: Blood flow structure related to red cell flow: determinant of blood fluidity in narrow microvessels. Jpn. J. Physiol. 51, 19-30 (2001)
35. Michel, C.C.: Renal medullary microcirculation: architecture and exchange. Microcirculation 2, 125-139 (1995)
36. Ortiz, P., Stoos, B.A., Hong, N.J., Boesch, D.M., Plato, C.F., Garvin, J.L.: High-salt diet increases sensitivity to No and eNOS expression but not No production in THALs. Hypertension 41, 682-687 (2003)
37. Pallone, T.L., Jamison, R.L.: Effect of ureteral excision on inner medullary solute concentration in rats. Am. J. Physiol. Renal Physiol. 255, F1225-F1229 (1988)
38. Pallone, T.L., Mattson, D.L.: Role of nitric oxide in regulation of the renal medulla in normal and hypertensive kidneys. Curr. Opin. Nephrol. Hypertens. 11, 93-98 (2002)
39. Pallone, T.L., Robertson, C.R., Jamison, R.L.: Renal medullary microcirculation. Physiol. Rev. 70, 885-920 (1990)
40. Pallone, T.L., Silldorff, E.P.: Pericyte regulation of renal medullary blood flow. Exp. Nephrol. 9, 165-170 (2001)
41. Pannabecker, T.L., Dantzler, W.H.: Three-dimensional architecture of inner medullary vasa recta. Am. J. Physiol. Renal. Physiol. 290, F1355-F1366. Epub 2005 Dec 1327. (2006)
42. Papadaki, M., Tilton, R.G., Eskin, S.G., Mcintire, L.V.: Nitric oxide production by cultured human aortic smooth muscle cells: stimulation by fluid flow. Am. J. Physiol. Heart Circ. Physiol. 274, H616-H626 (1998)
43. Popel, A.S., Johnson, P.C.: Microcirculation and hemorheology. Annu. Rev. Fluid Mech. 37, 43-69 (2005)
44. Pries, A.R., Neuhaus, D., Gaehtgens, P.: Blood viscosity in tube flow: dependence on diameter and hematocrit. Am. J. Physiol. Heart. Circ. Physiol. 263, H1770-H1778 (1992)
45. Qiu, W., Kass, D.A., Hu, Q., Ziegelstein, R.C.: Determinants of shear stress-stimulated endothelial nitric oxide production assessed in real-time by 4,5-diaminofluorescein fluorescence. Biochem. Biophys. Res. Commun. 286, 328-335 (2001)
46. Sharma, V.S., Ranney, H.M.: The dissociation of NO from nitrosylhemoglobin. J. Biol. Chem. 253, 6467-6472 (1978)
47. Shibata, M., Ichioka, S., Kamiya, A.: Estimating oxygen consumption rates of arteriolar walls under physiological conditions in rat skeletal muscle. Am. J. Physiol. Heart Circ. Physiol. 289, H295-H300 (2005)
48. Singel, D.J., Stamler, J.S.: Chemical physiology of blood flow regulation by red blood cells. Annu. Rev. Physiol. 67, 99-145 (2005)
49. Smith, K.M., Moore, L.C., Layton, H.E.: Advective transport of nitric oxide in a mathematical model of the afferent arteriole. Am. J. Physiol. Renal. Physiol. 284, F1080-F1096 (2003)
50. Soutani, M., Suzuki, Y., Tateishi, N., Maeda, N.: Quantitative evaluation of flow dynamics of erythrocytes in microvessels: influence of erythrocyte aggregation. Am. J. Physiol. Heart Circ. Physiol. 268, H1959-H1965 (1995)
51. Stamler, J.S., Jaraki, O., Osborne, J., Simon, D.I., Keaney, J., Vita, J., Singel, D., Valeri, C.R., Loscalzo, J.: Nitric oxide circulates in mammalian plasma primarily as an S-nitroso adduct of serum albumin. Proc. Natl. Acad. Sci. USA 89, 7674-7677 (1992)
52. Stone, J.R., Marletta, M.A.: Spectral and kinetic studies on the activation of soluble guanylate cyclase by nitric oxide. Biochemistry 35, 1093-1099 (1996)
53. Tsoukias, N.M., Kavdia, M., Popel, A.S.: A theoretical model of nitric oxide transport in arterioles: frequency- vs. amplitude-dependent control of cGMP formation. Am. J. Physiol. Heart Circ. Physiol. 286, H1043-H1056 (2004)
54. Tsoukias, N.M., Popel, A.S.: Erythrocyte consumption of nitric oxide in presence and absence of plasma-based hemoglobin. Am. J. Physiol. Heart. Circ. Physiol. 282, H2265-H2277 (2002)
55. Vaughn, M.W., Huang, K.-T., Kuo, L., Liao, J.C.: Erythrocytes possess an intrinsic barrier to nitric oxide consumption. J. Biol. Chem. 275, 2342-2348 (2000)
56. Vaughn, M.W., Huang, K.T., Kuo, L., Liao, J.C.: Erythrocyte consumption of nitric oxide: competition experiment and model analysis. Nitric Oxide 5, 18-31 (2001)
57. Vaughn, M.W., Kuo, L., Liao, J.C.: Estimation of nitric oxide production and reaction rates in tissue by use of a mathematical model. Am. J. Physiol. Heart. Circ. Physiol. 274, H2163-H2176 (1998)
58. Whorton, A.R., Simonds, D.B., Piantadosi, C.A.: Regulation of nitric oxide synthesis by oxygen in vascular endothelial cells. Am. J. Physiol. Lung Cell. Mol. Physiol. 272, L1161-L1166 (1997)
59. Wu, F., Park, F., Cowley, A.W., Jr., Mattson, D.L.: Quantification of nitric oxide synthase activity in microdissected segments of the rat kidney. Am. J. Physiol. Renal. Physiol. 276, F874-F881 (1999)
60. Zhang, W., Pibulsonggram, T., Edwards, A.: Determinants of basal nitric oxide concentration in the renal medullary microcirculation. Am. J. Physiol. Renal. Physiol. 287, F1189-F1203 (2004)
61. Zimmerhackl, B., Dussel, R., Steinhausen, M.: Erythrocyte flow and dynamic hematocrit in the renal papilla of the rat. Am. J. Physiol. Renal Physiol. 249, F898-F902 (1985)
62. Zou, A.P., Cowley, A.W. Jr.: Alpha(2)-adrenergic receptor-mediated increase in NO production buffers renal medullary vasoconstriction. Am. J. Physiol. Regul. Integr. Comp. Physiol. 279, R769-R777 (2000)
63. Zou, A.P., Cowley, A.W. Jr.: Nitric oxide in renal cortex and medulla. An in vivo microdialysis study. Hypertension 29, 194-198 (1997)