A reaction-diffusion model of CO2 influx into an oocyte

Journal of Theoretical Biology

Volumn 309, Issue , 2012, Pages 185-203

  Somersalo, Erkki ^a   Occhipinti, Rossana ^b   Boron, Walter F ^b   Calvetti, Daniela ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b CASE WESTERN RESERVE UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Competing equilibria; Multiple buffers; PH; Spherical cell

Indexed keywords

BICARBONATE; BUFFER; CARBON DIOXIDE; CARBONATE DEHYDRATASE; CARBONIC ACID;

BICARBONATE; CARBON DIOXIDE; CARBON FLUX; COMPUTER SIMULATION; NUMERICAL MODEL; PERMEABILITY; REACTION KINETICS;

ARTICLE; BODY FLUID; BULK EXTRACELLULAR FLUID; CARBON DIOXIDE INFLUX; CELL MEMBRANE PERMEABILITY; CELL PH; CHEMICAL REACTION; DIFFUSION; ENZYME ACTIVITY; EXTRACELLULAR UNCONVECTED FLUID; HYDRATION DEHYDRATION REACTION; INTRACELLULAR SPACE; ION TRANSPORT; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; OOCYTE; PH; PREDICTION; PRIORITY JOURNAL; REACTION DIFFUSION EQUATION; REACTION DIFFUSION MODEL; SIMULATION; SOLUTE; SURFACE PH; XENOPUS;

ANIMALS; BICARBONATES; BUFFERS; CARBON DIOXIDE; CARBONIC ANHYDRASES; CELL MEMBRANE PERMEABILITY; COMPUTER SIMULATION; CONVECTION; DIFFUSION; EXTRACELLULAR FLUID; INTRACELLULAR SPACE; MODELS, BIOLOGICAL; OOCYTES; TIME FACTORS; XENOPUS;

MUSA;

EID: 84864348982     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.06.016     Document Type: Article

References (49)

1. Boron W.F. Intracellular pH transients in giant barnacle muscle fibers. Am. J. Physiol. 1977, 233:C61-C73.
2. Boron W.F. Acid-base physiology. Medical Physiology. A Cellular and Molecular Approach 2009, 652-671. Elsevier, Saunders. W.F. Boron, E.L. Boulpaep (Eds.).
3. Boron W.F. The Sharpey-Schafer lecture: gas channels. Exp. Physiol. 2010, 95:1107-1130.
4. 3 and metabolic inhibitors. J. Gen. Physiol. 1976, 67:91-112.
5. 2 channels. Chemphyschem 2011, 12:1017-1019.
6. Choi I., Aalkjær C., Boulpaep E.L., Boron W.F. An electroneutral sodium/bicarbonate cotransporter NBCn1 and associated sodium channel. Nature 2000, 405:571-575.
7. 2 permeability of the AQP1 water channel, expressed in Xenopus oocytes. J. Am. Soc. Nephrol. 1997, 8:16A.
8. 2 permeability of Xenopus oocytes expressing aquaporin 1 or its C189S mutant. Am. J. Physiol. 1998, 275:C1481-C1486.
9. Costa P.F., Emilio M.G., Fernandes P.L., Ferreira H.G., Ferreira K.G. Determination of ionic permeability coefficients of the plasma membrane of Xenopus laevis oocytes under voltage clamp. J. Physiol. 1989, 413:199-211.
10. Dainty J., House C.R. Unstirred layers in frog skin. J. Physiol. 1966, 182:66-78.
11. Davenport H.W. The ABC of Acid-Base Chemistry 1958, University of Chicago Press, Chicago. 4th edition.
12. 2 channel in the human red cell membrane. FASEB J. 2008, 22:64-73.
13. Endeward V., Gros G. Low carbon dioxide permeability of the apical epithelial membrane of guinea-pig colon. J. Physiol. 2005, 567:253-265.
14. 2 diffusion across membranes-a novel approach applied to the mass spectrometric 18O technique for red blood cells. J. Physiol 2009.
15. 2 transport across the human erythrocyte membrane. FASEB J. 2006, 20:1974-1981.
16. Fei Y.J., Kanai Y., Nussberger S., Ganapathy V., Leibach F.H., Romero M.F., Singh S.K., Boron W.F., Hediger M.A. Expression cloning of a mammalian proton-coupled oligopeptide transporter. Nature 1994, 368:563-566.
17. Geers C., Gros G. Carbon dioxide transport and carbonic anhydrase in blood and muscle. Physiol. Rev. 2000, 80:681-715.
18. Gibbons B.H., Edsall J.T. Rate of hydration of carbon dioxide and dehydration of carbonic acid at 25°. J. Biol. Chem. 1963, 238:3502-3507.
19. 3 exchanger. J. Biol. Chem. 2001, 276:8358-8363.
20. Gros G., Moll W. The diffusion of carbon dioxide in erythrocytes and hemoglobin solutions. Pflugers Arch. 1971, 324:249-266.
21. Gunshin H., Mackenzie B., Berger U.V., Gunshin Y., Romero M.F., Boron W.F., Nussberger S., Gollan J.L., Hediger M.A. Cloning and characterization of a mammalian proton-coupled metal-ion transporter. Nature 1997, 388:482-488.
22. Gutknecht J., Bisson M.A., Tosteson F.C. Diffusion of carbon dioxide through lipid bilayer membranes. J. Gen. Physiol. 1977, 69:779-794.
23. Gutknecht J., Tosteson D.C. Diffusion of weak acids across lipid bilayer membranes: effects of chemical reactions in the unstirred layers. Science 1973, 182:1258-1261.
24. Harned H.S., Owen B.B. The Physical Chemistry of Electrolytic Solutions 1958, Reinhold Pub. Corp., New York.
25. Iserles A. A First Course in the Numerical Analysis of Differential Equations 1996, Cambridge University Press.
26. Koppel M., Spiro K. Uber die Wirkung von Moderatoren (Puffern) bei der Verschiebung des Saure-Basengleichgewichtes in biologischen Flussigkeiten. Biochem. Z. 1914, 65:409-439.
27. Korjamo T., Heikkinen A.T., Monkkonen J. Analysis of unstirred water layer in in vitro permeability experiments. J. Pharm. Sci. 2009, 98:4469-4479.
28. 3 cotransporter NBCe1-B: role of IRBIT versus amino-terminal truncation. Am. J. Physiol. Cell Physiol. 2011, 302:C518-26.
29. Levich V.J. Physicochemical Hydrodynamics 1962, Prentice-Hall, Englewood Cliffs, NJ.
30. Missner A., Kugler P., Antonenko Y.N., Pohl P. Passive transport across bilayer lipid membranes: Overton continues to rule. Proc. Natl. Acad. Sci. USA 2008, 105:E123.
31. Missner A., Kugler P., Saparov S.M., Sommer K., Mathai J.C., Zeidel M.L., Pohl P. Carbon dioxide transport through membranes. J. Biol. Chem. 2008, 283:25340-25347.
32. Missner A., Pohl P. 110 years of the Meyer-Overton rule: predicting membrane permeability of gases and other small compounds. Chemphyschem 2009, 10:1405-1414.
33. 3 selectivities of AQP1, AQP4, AQP5, AmtB, and RhAG. Proc. Natl. Acad. Sci. USA 2009, 106:5406-5411.
34. 2 influx into Xenopus oocytes. J. Am. Soc. Nephrol. 16:TH-PO016, Abstract 2005.
35. 2 permeability of Xenopus oocytes. Am. J. Physiol. 1998, 274:C543-C548.
36. - cotransporter. Nature 1997, 387:409-413.
37. Roos A., Boron W.F. The buffer value of weak acids and bases: origin of the concept, and first mathematical derivation and application of physico-chemical systems. The work of M. Koppel and K. Spiro (1914). Respir. Physiol. 1980, 40:1-32.
38. Roos A., Boron W.F. Intracellular pH. Physiol. Rev. 1981, 61:296-434.
39. Roughton F.J.W. The kinetics and rapid thermochemistry of carbonic acid. J. Am. Chem. Soc. 1941, 63:29-30.
40. Steel A., Nussberger S., Romero M.F., Boron W.F., Boyd C.A.R., Hediger M.A. Stoichiometry and pH-dependence of the mammalian proton-dependent oligopeptide transporter PepT1. J. Physiol. (London) 1997, 498:563-569.
41. - in water. J. Phys. Chem. B 2010, 114:16854-16859.
42. Swietach P., Patiar S., Supuran C.T., Harris A.L., Vaughan-Jones R.D. The role of carbonic anhydrase 9 in regulating extracellular and intracellular pH in three-dimensional tumor cell growths. J. Biol. Chem. 2009, 284:20299-20310.
43. Swietach P., Wigfield S., Cobden P., Supuran C.T., Harris A.L., Vaughan-Jones R.D. Tumor-associated carbonic anhydrase 9 spatially co-ordinates intracellular pH in three-dimensional multicellular growths. J. Biol. Chem. 2008, 283:20473-20483.
44. + ion diffusion. Prog. Biophys. Mol. Biol. 2003, 83:69-100.
45. Toye A.M., Parker M.D., Daly C.M., Lu J., Virkki L.V., Pelletier M.F., Boron W.F. The human NBCe1-A mutant R881C, associated with proximal renal tubular acidosis, retains function but is mistargeted in polarized renal epithelia. Am. J. Physiol. Cell Physiol. 2006, 291:C788-C801.
46. Van Slyke D.D. On the measurement of buffer values and on the relationship of buffer value to the dissociation constant of the buffer and the concentration and the reaction of the buffer solution. J. Biol. Chem. 1922, 52:525-570.
47. Vanysek P. Ionic conductivity and diffusion at infinite dilution. CRC Handbook of Chemistry and Physics 2011, 76-78. CRC Press, Taylor and Francis. W.M. Haynes (Ed.).
48. + ion mobility in the rabbit ventricular myocyte. J. Physiol. 2002, 541:139-158.
49. - reabsorption by rabbit S2 proximal tubule. Am. J. Physiol. Renal Physiol. 2003, 285:F359-F369.