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Effects of hydration on steric and electric charge-induced interstitial volume exclusion--a model

Alf H Øien1, Sigrid R Justad, Olav Tenstad

  • 1Department of Mathematics, University of Bergen, Bergen, Norway.

Biophysical Journal
|September 10, 2013
PubMed

Keywords:
1-particles2-particles3-particlesAA [as subscript]DCL(z)Debye lengthGAGs, glycosaminoclycans [also as subscript]H(z)LN1inOQ(1), Q(2)TVOVTalbumin- or macromolecules in general [also as subscript]availableavailable volume of charged particleavailable volume of small neutral macroparticleavailable volume per unit volume for large neutral macroparticlesaverage volume density of macromolecules, as albumin, in cellaxial length of equilibration cellcharge part per unit volume of excluded volumecircular cross-section area of equilibration cellcollagen particles [also as subscript]core radius of GAGd1, d2 = 2H(z), d3dCLdiameters of 1-, 2-, and 3-particlesdistance between two side-by-side GAGs- or collagen particle centersdistance of closest approach in GAG-albumin interactionsdistance of closest approach in albumin-albumin interactionseffective density of collagen particleselectrical charge on particle Iexcluded volume per unit volume for large neutral macroparticlesexcluded volume per unit volume of charged macroparticleexcluded volume per unit volume of small neutral macroparticlehighest thickness valuehydrationinside cell tissue [also as subscript]llowest thickness valuen1T(z), n1O(z)n1inn2, n3n3eff(z)number densities of 2- and 3-particlesnumber of macromolecules, as albumin, poured into celloutside cell tissue [also as subscript]outside tissue-cell volumep1pressure of 1-particlesrradial distanceradius of GAGs as function of tissue thicknessrminthickness of tissue sampletissue-cell volumevolume density of 1-particles in tissue, outside tissuevolume of collagen-, GAG- and macroparticle material per unit volume of tissuevolume of water per unit volume of tissue (water content)zz1z2ζλDνAνA0GνAOνEνE00νE0GνEOνH2OνQ

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