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  • 1
    ISSN: 1432-2013
    Keywords: Kidney (Physiology) ; Glomerulus (Hemodynamics or Permeability) ; Membranes (Physiology) ; Capillaries Permeability ; Macromolecular Systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Determination of glomerular intracapillary and transcapillary pressure gradients from sieving data. A biomathematical model is described to calculate the intracapillary and transcapillary glomerular pressure gradients from the sieving coefficients (Φ: fractional clearances/GFR) of macromolecules such as polyvinylpyrrolidone (PVP). Two differential equations have been developed. The first one calculates local values for GFR in terms of local values forPGC (intracapillary hydrostatic pressure) and π (oncotic pressure). The second equation calculates the clearance of PVP equimolecular fractions, the sieving equations previously described (24) being used to derive the concentrations of PVP in the filtrate (c 2). Two variants of the second equation have been considered, assuming the filtrate in contact with the membrane either “well stirred” or “unstirred” (constantc 2 and localc 2 gradient models respectively). Computer simulations have been used to illustrate how the sieving curve is modified when the five parameters on which depends the shape of the curve are changed one by one. The sieving curve relates Φ toa s (hydrodynamically equivalent molecular radius). The determining parameters are: $$\overline {GFP}$$ , the mean effective glomerular filtration pressure, ε, the slope of the intracapillary pressure,FF, the filtration fraction,Cp 0, the protein concentration in arterial plasma andr, the pore radius which is the only structural parameter involved when one assumes the glomerular membrane crossed by cylindrical pores of uniform size and length. The shape of the sieving curve is modified significantly enough by changing $$\overline {GFP}$$ ,FF andr within reasonable limits, to make it possible to derive $$\overline {GFP}$$ andr from experimental sieving data for macromolecules such as PVP or dextrans.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-2013
    Keywords: Kidney (Physiology) ; Glomerulus (Hemodynamics or Permeability) ; Membranes (Physiology) ; Capillaries Permeability ; Macromolecular sieving
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The two theoretical models proposed previously to calculate the intracapillary and transcapillary glomerular pressure gradients from the sieving of macromolecules such as PVP have been used to analyse in 22 normotensive dogs the sieving curve relating the sieving coefficients, Φ, to molecular size (Φ: glomerular clearance of PVP fractions/GFR). Neither the “localc 2” model-filtrate unmixed at the outer face of the capillaries walls—nor the constantc 2 model-filtrate well mixed—allowed to obtain realistic values for the hemodynamical parameters. Indeed with the localc 2 model, the best fit between calculated and experimental sieving curves could be obtained only by reversing the intracapillary pressure gradient; conversely the constantc 2 model obliged to decrease the intracapillary pressure so abruptly along the capillaries, that retrofiltration took place in the distal parts of the vessels. This difficulty has been overcome by combining the two models; the so-called “hybrid model” considers that the filtrate is well mixed in the vicinity of the urinary pole only. The following results were obtained: 1. PGCa and PGCe (intracapillary pressures at the afferent and efferent extremities of the capillaries) equal to 49.7±1.03 and 41.8±1.00 mm Hg respectively. 2. Pressure equilibrium is generally reached at the efferent extremity of the vessels. 3. The slope of PGC $$\left( {\frac{{PGC_a - PGC_e }}{{PGC_a }}} \right)$$ varies inversely to F.F. (filtration fraction). 4. The model, however, does not allow to rule out the possibility of retrofiltration.
    Type of Medium: Electronic Resource
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