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Volumn 240, Issue 22, 2011, Pages 1835-1852

A model of electrodiffusion and osmotic water flow and its energetic structure

Author keywords

Electrodiffusion; Electrophysiology; Energetic structure; Osmosis

Indexed keywords

ELECTROPHYSIOLOGY; HYDRAULICS; OSMOSIS;

EID: 80054079109     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2011.08.010     Document Type: Article
Times cited : (44)

References (86)
  • 5
    • 69249083983 scopus 로고    scopus 로고
    • Molecular mechanisms of ischemic cerebral edema: Role of electroneutral ion transport
    • K. Kahle, J. Simard, K. Staley, B. Nahed, P. Jones, and D. Sun Molecular mechanisms of ischemic cerebral edema: role of electroneutral ion transport Physiology 24 4 2009 257
    • (2009) Physiology , vol.24 , Issue.4 , pp. 257
    • Kahle, K.1    Simard, J.2    Staley, K.3    Nahed, B.4    Jones, P.5    Sun, D.6
  • 6
    • 38949120878 scopus 로고    scopus 로고
    • Fluid transport: A guide for the perplexed
    • A. Hill Fluid transport: a guide for the perplexed J. Membr. Biol. 223 1 2008 1 11
    • (2008) J. Membr. Biol. , vol.223 , Issue.1 , pp. 1-11
    • Hill, A.1
  • 7
    • 0004312365 scopus 로고    scopus 로고
    • The Mosby Physiology Monograph Series Mosby Elsevier
    • B. Koeppen, and B. Stanton Renal Physiology The Mosby Physiology Monograph Series 2007 Mosby Elsevier
    • (2007) Renal Physiology
    • Koeppen, B.1    Stanton, B.2
  • 8
    • 69249121209 scopus 로고    scopus 로고
    • The mammalian urine concentrating mechanism: Hypotheses and uncertainties
    • A. Layton, H. Layton, W. Dantzler, and T. Pannabecker The mammalian urine concentrating mechanism: hypotheses and uncertainties Physiology 24 4 2009 250
    • (2009) Physiology , vol.24 , Issue.4 , pp. 250
    • Layton, A.1    Layton, H.2    Dantzler, W.3    Pannabecker, T.4
  • 10
    • 17744387618 scopus 로고    scopus 로고
    • A mathematical model of electrolyte and fluid transport across corneal endothelium
    • DOI 10.1007/s00232-004-0730-7
    • J. Fischbarg, and F. Diecke A mathematical model of electrolyte and fluid transport across corneal endothelium J. Membr. Biol. 203 1 2005 41 56 (Pubitemid 40576960)
    • (2005) Journal of Membrane Biology , vol.203 , Issue.1 , pp. 41-56
    • Fischbarg, J.1    Diecke, F.P.J.2
  • 16
    • 0028219285 scopus 로고
    • Mathematical models of tubular transport
    • A. Weinstein Mathematical models of tubular transport Annu. Rev. Physiol. 56 1 1994 691 709 (Pubitemid 24111878)
    • (1994) Annual Review of Physiology , vol.56 , pp. 691-709
    • Weinstein, A.M.1
  • 17
    • 0037211066 scopus 로고    scopus 로고
    • A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia
    • DOI 10.1006/jtbi.2003.3154
    • C. Yi, A. Fogelson, J. Keener, and C. Peskin A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia J. Theoret. Biol. 220 1 2003 83 106 (Pubitemid 35373839)
    • (2003) Journal of Theoretical Biology , vol.220 , Issue.1 , pp. 83-106
    • Yi, C.-S.1    Fogelson, A.L.2    Keener, J.P.3    Peskin, C.S.4
  • 18
    • 0035084874 scopus 로고    scopus 로고
    • Osmotic forces and gap junctions in spreading depression: A computational model
    • DOI 10.1023/A:1008924227961
    • B. Shapiro Osmotic forces and gap junctions in spreading depression: a computational model J. Comput. Neurosci. 10 1 2001 99 120 (Pubitemid 32243556)
    • (2001) Journal of Computational Neuroscience , vol.10 , Issue.1 , pp. 99-120
    • Shapiro, B.E.1
  • 20
    • 0022121601 scopus 로고
    • Steady-state voltages, ion fluxes, and volume regulation in syncytial tissues
    • R. Mathias Steady-state voltages, ion fluxes, and volume regulation in syncytial tissues Biophys. J. 48 3 1985 435 448
    • (1985) Biophys. J. , vol.48 , Issue.3 , pp. 435-448
    • Mathias, R.1
  • 22
    • 0001653395 scopus 로고
    • Thermodynamic analysis of the permeability of biological membranes to non-electrolytes
    • O. Kedem, and A. Katchalsky Thermodynamic analysis of the permeability of biological membranes to non-electrolytes Biochim. Biophys. Acta 27 1958 229 246
    • (1958) Biochim. Biophys. Acta , vol.27 , pp. 229-246
    • Kedem, O.1    Katchalsky, A.2
  • 24
    • 67349256376 scopus 로고    scopus 로고
    • A microfluidic pumping mechanism driven by non-equilibrium osmotic effects
    • P. Atzberger, S. Isaacson, and C. Peskin A microfluidic pumping mechanism driven by non-equilibrium osmotic effects Physica D 238 14 2009 1168 1179
    • (2009) Physica D , vol.238 , Issue.14 , pp. 1168-1179
    • Atzberger, P.1    Isaacson, S.2    Peskin, C.3
  • 25
    • 36348929468 scopus 로고    scopus 로고
    • Modeling water transport across elastic boundaries using an explicit jump method
    • A. Layton Modeling water transport across elastic boundaries using an explicit jump method SIAM J. Sci. Comput. 28 2006 2189
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 2189
    • Layton, A.1
  • 28
    • 80054059245 scopus 로고
    • People and Ideas Series/American Physiological Society Book American Physiological Society
    • D. Tosteson Membrane Transport: People and Ideas People and Ideas Series/American Physiological Society Book 1989 American Physiological Society
    • (1989) Membrane Transport: People and Ideas
    • Tosteson, D.1
  • 37
    • 77954057868 scopus 로고    scopus 로고
    • Simplified electrostatic model for the thermodynamic excess potentials of binary strong electrolyte solutions with size-dissimilar ions
    • D. Fraenkel Simplified electrostatic model for the thermodynamic excess potentials of binary strong electrolyte solutions with size-dissimilar ions Mol. Phys. 108 11 2010 1435 1466
    • (2010) Mol. Phys. , vol.108 , Issue.11 , pp. 1435-1466
    • Fraenkel, D.1
  • 38
    • 84894692021 scopus 로고    scopus 로고
    • Crowded charges in ion channels
    • B. Eisenberg Crowded charges in ion channels Adv. Chem. Phys. 148 2012
    • (2012) Adv. Chem. Phys. , vol.148
    • Eisenberg, B.1
  • 39
    • 77956931884 scopus 로고    scopus 로고
    • Molecular dynamics in physiological solutions: Force fields, alkali metal ions, and ionic strength
    • C. Zhang, S. Raugei, B. Eisenberg, and P. Carloni Molecular dynamics in physiological solutions: force fields, alkali metal ions, and ionic strength J. Chem. Theory Comput. 2010 2 4
    • (2010) J. Chem. Theory Comput. , pp. 2-4
    • Zhang, C.1    Raugei, S.2    Eisenberg, B.3    Carloni, P.4
  • 40
    • 77956944534 scopus 로고    scopus 로고
    • Energy variational analysis of ions in water and channels: Field theory for primitive models of complex ionic fluids
    • B. Eisenberg, Y. Hyon, and C. Liu Energy variational analysis of ions in water and channels: field theory for primitive models of complex ionic fluids J. Chem. Phys. 133 2010 104104
    • (2010) J. Chem. Phys. , vol.133 , pp. 104104
    • Eisenberg, B.1    Hyon, Y.2    Liu, C.3
  • 42
    • 84944483089 scopus 로고
    • Theory of flow of electrons and holes in germanium and other semiconductors
    • W.V. Roosbroeck Theory of flow of electrons and holes in germanium and other semiconductors Bell Syst. Tech. J. 29 1950 560 607
    • (1950) Bell Syst. Tech. J. , vol.29 , pp. 560-607
    • Roosbroeck, W.V.1
  • 45
    • 0029876860 scopus 로고    scopus 로고
    • Computing the field in proteins and channels
    • DOI 10.1007/s002329900026
    • R. Eisenberg Computing the field in proteins and channels J. Membr. Biol. 150 1 1996 1 25 (Pubitemid 26102439)
    • (1996) Journal of Membrane Biology , vol.150 , Issue.1 , pp. 1-25
    • Eisenberg, R.S.1
  • 46
    • 42749109091 scopus 로고    scopus 로고
    • Diffuse-charge dynamics in electrochemical systems
    • M. Bazant, K. Thornton, and A. Ajdari Diffuse-charge dynamics in electrochemical systems Phys. Rev. E 70 2 2004 21506
    • (2004) Phys. Rev. e , vol.70 , Issue.2 , pp. 21506
    • Bazant, M.1    Thornton, K.2    Ajdari, A.3
  • 47
    • 77049313719 scopus 로고
    • The after-effects of impulses in the giant nerve fibers of loligo
    • B. Frankenhaeuser, and A. Hodgkin The after-effects of impulses in the giant nerve fibers of loligo J. Physiol. 131 1956 341 376
    • (1956) J. Physiol. , vol.131 , pp. 341-376
    • Frankenhaeuser, B.1    Hodgkin, A.2
  • 48
    • 35649001607 scopus 로고
    • A quantitative description of the membrane current and its application to conduction and excitation in nerve
    • A. Hodgkand A. Huxley A quantitative description of the membrane current and its application to conduction and excitation in nerve J. Physiol. 117 1952 500 544
    • (1952) J. Physiol. , vol.117 , pp. 500-544
    • Hodgkin, A.1    Huxley, A.2
  • 49
    • 0041752071 scopus 로고    scopus 로고
    • On biomembrane electrodiffusive models
    • M. Léonetti On biomembrane electrodiffusive models Eur. Phys. J. B 2 1998 325 340 (Pubitemid 128439198)
    • (1998) European Physical Journal B , vol.2 , Issue.3 , pp. 325-340
    • Leonetti, M.1
  • 50
    • 0030739712 scopus 로고    scopus 로고
    • A general computational framework for modeling cellular structure and function
    • J. Schaff, C. Fink, B. Slepchenko, J. Carson, and L. Loew A general computational framework for modeling cellular structure and function Biophys. J. 73 3 1997 1135 1146 (Pubitemid 27360703)
    • (1997) Biophysical Journal , vol.73 , Issue.3 , pp. 1135-1146
    • Schaff, J.1    Fink, C.C.2    Slepchenko, B.3    Carson, J.H.4    Loew, L.M.5
  • 52
    • 44449092531 scopus 로고    scopus 로고
    • A three-dimensional model of cellular electrical activity
    • Y. Mori, J. Jerome, and C. Peskin A three-dimensional model of cellular electrical activity Bull. Inst. Math. Acad. Sin. 2 2 2007 367 390
    • (2007) Bull. Inst. Math. Acad. Sin. , vol.2 , Issue.2 , pp. 367-390
    • Mori, Y.1    Jerome, J.2    Peskin, C.3
  • 53
    • 44049100052 scopus 로고    scopus 로고
    • Ephaptic conduction in a cardiac strand model with 3D electrodiffusion
    • Y. Mori, G.I. Fishman, and C.S. Peskin Ephaptic conduction in a cardiac strand model with 3D electrodiffusion Proc. Natl. Acad. Sci. 105 17 2008 6463
    • (2008) Proc. Natl. Acad. Sci. , vol.105 , Issue.17 , pp. 6463
    • Mori, Y.1    Fishman, G.I.2    Peskin, C.S.3
  • 56
    • 85015432804 scopus 로고    scopus 로고
    • A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at internal membranes
    • Y. Mori, and C. Peskin A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at internal membranes Commun. Appl. Math. Comput. Sci. 4 2009 85 134
    • (2009) Commun. Appl. Math. Comput. Sci. , vol.4 , pp. 85-134
    • Mori, Y.1    Peskin, C.2
  • 57
    • 33745385674 scopus 로고
    • Regulation of cell volume by active cation transport in high and low potassium sheep red cells
    • D. Tosteson, and J. Hoffman Regulation of cell volume by active cation transport in high and low potassium sheep red cells J. Gen. Physiol. 44 1 1960 169
    • (1960) J. Gen. Physiol. , vol.44 , Issue.1 , pp. 169
    • Tosteson, D.1    Hoffman, J.2
  • 59
    • 0019013457 scopus 로고
    • Interactions of cell volume, membrane potential, and membrane transport parameters
    • E. Jakobsson Interactions of cell volume, membrane potential, and membrane transport parameters Am. J. Physiol. Cell Physiol. 238 5 1980 C196
    • (1980) Am. J. Physiol. Cell Physiol. , vol.238 , Issue.5 , pp. 196
    • Jakobsson, E.1
  • 60
    • 0025071276 scopus 로고
    • Volume-activated chloride permeability can mediate cell volume regulation in a mathematical model of a tight epithelium
    • J. Strieter, J.L. Stephenson, L.G. Palmer, and A.M. Weinstein Volume-activated chloride permeability can mediate cell volume regulation in a mathematical model of a tight epithelium J. Gen. Physiol. 96 2 1990 319
    • (1990) J. Gen. Physiol. , vol.96 , Issue.2 , pp. 319
    • Strieter, J.1    Stephenson, J.L.2    Palmer, L.G.3    Weinstein, A.M.4
  • 65
    • 54149115724 scopus 로고    scopus 로고
    • Thermodynamically consistent picture of the phase-field model of vesicles: Elimination of the surface tension
    • D. Jamet, and C. Misbah Thermodynamically consistent picture of the phase-field model of vesicles: elimination of the surface tension Phys. Rev. E 78 4 2008 041903
    • (2008) Phys. Rev. e , vol.78 , Issue.4 , pp. 041903
    • Jamet, D.1    Misbah, C.2
  • 66
    • 51349114290 scopus 로고    scopus 로고
    • Toward a thermodynamically consistent picture of the phase-field model of vesicles: Curvature energy
    • D. Jamet, and C. Misbah Toward a thermodynamically consistent picture of the phase-field model of vesicles: curvature energy Phys. Rev. E 78 3 2008 031902
    • (2008) Phys. Rev. e , vol.78 , Issue.3 , pp. 031902
    • Jamet, D.1    Misbah, C.2
  • 67
    • 36049010323 scopus 로고    scopus 로고
    • Towards a thermodynamically consistent picture of the phase-field model of vesicles: Local membrane incompressibility
    • D. Jamet, and C. Misbah Towards a thermodynamically consistent picture of the phase-field model of vesicles: local membrane incompressibility Phys. Rev. E 76 5 2007 051907
    • (2007) Phys. Rev. e , vol.76 , Issue.5 , pp. 051907
    • Jamet, D.1    Misbah, C.2
  • 68
    • 3242875567 scopus 로고    scopus 로고
    • A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
    • DOI 10.1016/j.jcp.2004.01.029, PII S0021999104000373
    • Q. Du, C. Liu, and X. Wang A phase field approach in the numerical study of the elastic bending energy for vesicle membranes* 1 J. Comput. Phys. 198 2 2004 450 468 (Pubitemid 38999047)
    • (2004) Journal of Computational Physics , vol.198 , Issue.2 , pp. 450-468
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 69
    • 29144520935 scopus 로고    scopus 로고
    • Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
    • DOI 10.1016/j.jcp.2005.07.020, PII S0021999105003566
    • Q. Du, C. Liu, and X. Wang Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions J. Comput. Phys. 212 2 2006 757 777 (Pubitemid 41799946)
    • (2006) Journal of Computational Physics , vol.212 , Issue.2 , pp. 757-777
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 70
    • 29144514194 scopus 로고    scopus 로고
    • A phase field formulation of the willmore problem
    • Q. Du, C. Liu, R. Ryham, and X. Wang A phase field formulation of the willmore problem Nonlinearity 18 2005 1249
    • (2005) Nonlinearity , vol.18 , pp. 1249
    • Du, Q.1    Liu, C.2    Ryham, R.3    Wang, X.4
  • 72
    • 0034370899 scopus 로고    scopus 로고
    • Long time behavior of solutions to NernstPlanck and DebyeHckel drift-diffusion systems
    • P. Biler, and J. Dolbeault Long time behavior of solutions to NernstPlanck and DebyeHckel drift-diffusion systems Ann. Henri Poincaré 1 3 2000 461 472
    • (2000) Ann. Henri Poincaré , vol.1 , Issue.3 , pp. 461-472
    • Biler, P.1    Dolbeault, J.2
  • 74
    • 36149006040 scopus 로고
    • Reciprocal relations in irreversible processes. II
    • L. Onsager Reciprocal relations in irreversible processes. II Phys. Rev. 38 12 1931 2265 2279
    • (1931) Phys. Rev. , vol.38 , Issue.12 , pp. 2265-2279
    • Onsager, L.1
  • 75
    • 0004074550 scopus 로고
    • International Series of Monographs on Physics Clarendon Press
    • M. Doi, and S. Edwards The Theory of Polymer Dynamics International Series of Monographs on Physics 1988 Clarendon Press
    • (1988) The Theory of Polymer Dynamics
    • Doi, M.1    Edwards, S.2
  • 76
    • 67549112060 scopus 로고    scopus 로고
    • Gel dynamics
    • M. Doi Gel dynamics J. Phys. Soc. Jpn. 78 2009 052001
    • (2009) J. Phys. Soc. Jpn. , vol.78 , pp. 052001
    • Doi, M.1
  • 77
    • 77950226252 scopus 로고    scopus 로고
    • Energetic variational approach in complex fluids: Maximum dissipation principle
    • Y. Hyon, D. Kwak, and C. Liu Energetic variational approach in complex fluids: maximum dissipation principle DCDS-A 26 4 2010 1291 1304
    • (2010) DCDS-A , vol.26 , Issue.4 , pp. 1291-1304
    • Hyon, Y.1    Kwak, D.2    Liu, C.3
  • 78
    • 0003437218 scopus 로고
    • Addison-Wesley Series in Physics Addison-Wesley Pub. Co.
    • H. Goldstein Classical Mechanics Addison-Wesley Series in Physics 1980 Addison-Wesley Pub. Co.
    • (1980) Classical Mechanics
    • Goldstein, H.1
  • 80
    • 77957599840 scopus 로고    scopus 로고
    • A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
    • M. Brera, J. Jerome, Y. Mori, and R. Sacco A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains Comput. Methods Appl. Mech. Engrg. 199 2010 2709 2720
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 2709-2720
    • Brera, M.1    Jerome, J.2    Mori, Y.3    Sacco, R.4
  • 81
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • C. Peskin The immersed boundary method Acta Numer. 11 2002 479 517
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.1
  • 83
    • 0002559854 scopus 로고
    • Three-dimensional electrical field problems in physiology
    • R.S. Eisenberg, and E.A. Johnson Three-dimensional electrical field problems in physiology Prog. Biophys. Mol. Biol. 20 1 1970
    • (1970) Prog. Biophys. Mol. Biol. , vol.20 , Issue.1
    • Eisenberg, R.S.1    Johnson, E.A.2
  • 85
    • 0018348453 scopus 로고
    • Electrical properties of structural components of the crystalline lens
    • R. Mathias, J. Rae, and R. Eisenberg Electrical properties of structural components of the crystalline lens Biophys. J. 25 1 1979 181 201 (Pubitemid 9107853)
    • (1979) Biophysical Journal , vol.25 , Issue.1 , pp. 181-201
    • Mathias, R.T.1    Rae, J.L.2    Eisenberg, R.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.