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Since it is normally not possible to separately  plasma protein concentration and thus the on-
       determine k and A of a biological membrane or  cotic pressure difference π will rise (! pp.
       cell layer, the product of the two (k · A) is often  152, 208). This rise is much higher than equa-
       calculated as the ultrafiltration coefficient K f  tion 13.3 leads one to expect (! A). The differ-
             –1
         3 –1
       (m s Pa ) (cf. p. 152).         ence is attributable to specific biophysical
         The transport of osmotically active particles  properties of plasma proteins. If there is a pres-
       causes water flow. Inversely, flowing water  sure-dependent efflux or influx of water out of
       drags dissolved particles along with it. This  or into the bloodstream, these relatively high
       type of solvent drag (! p. 24) is a form of con-  changes in oncotic pressure difference auto-
       vective transport.              matically exert a counterpressure that limits
         Solvent drag does not occur if the cell wall is  the flow of water.
       impermeable to the substance in question (σ =
       1). Instead, the water will be retained on the  pH, pK, Buffers
       side where the substance is located. In the case  The pH indicates the hydrogen ion [H ] con-
                                                               +
       of the aforementioned epithelia, this means  centration of a solution. According to Sörensen,
       that the substances that cannot be reabsorbed  the pH is the negative common logarithm of
       from the tubule or intestinal lumen lead to  the molal H concentration in mol/kg H 2O.
                                              +
       osmotic diuresis (! p. 172) and diarrhea re-
                                        Examples:
    Appendix  spectively. The latter is the mechanism of ac-  1 mol/kg H 2O = 10 mol/kg H 2O = pH 0,
                                                    0
       tion of saline laxatives (! p. 262).
                                                     –1
                                        0.1 mol/kg H 2O = 10 mol/kg H 2O = pH 1,
                                        and so on up to 10
                                                     mol/kg H 2O = pH 14.
                                                    -14
    13  Oncotic Pressure / Colloid Osmotic Pressure  Since glass electrodes are normally used to measure
       As all other particles dissolved in plasma, mac-  the pH, the H activity of the solution is actually
                                               +
       romolecular proteins also exert an osmotic  being determined. Thus, the following rule applies:
       pressure referred to as oncotic pressure or col-  pH = – log (f H · [H ]),
                                                  +
       loid osmotic pressure. Considering its contribu-  where f H is the activity coefficient of H . Considering
                                                            +
       tion of only 3.5 kPa (25 mm Hg) relative to the  its ionic concentration (see above), the f H of plasma is
       total osmotic pressure of the small molecular  ! 0.8.
       components of plasma, the oncotic pressure  The logarithmic nature of pH must be con-
       on a strictly semipermeable membrane could  sidered when observing pH changes. For ex-
       be defined as negligible. However, within the  ample, a rise in pH from 7.4 (40 nmol/kg H 2O)
       body, oncotic pressure is so important because  to pH 7.7 decreases the H activity by 20 nmol/
                                                      +
       the endothelium that lines the blood vessels  kg H 2O, whereas an equivalent decrease (e.g.,
       allows small molecules to pass relatively easily  from pH 7.4 to pH 7.1) increases the H activity
                                                              +
       (σ ! 0). According to equation 13.3, their  by 40 nmol/kg H 2O.
       osmotic pressure difference ∆π at the en-  The pK is fundamentally similar to the pH. It
       dothelium is virtually zero. Consequently, only  is the negative common logarithm of the disso-
       the oncotic pressure difference of proteins is  ciation constant of an acid (K a) or of a base (K b):
       effective, as the endothelium is either partly or  pK a = $log K a
       completely impermeable to them, depending  pK b = $log K b.
       on the capillary segment in question. Because  For an acid and its corresponding base,
       the protein reflection coefficient σ # 0 and the  pK a + pK b = 14, so that the value of pK a can be
       protein content of the plasma (ca. 75 g/L) are  derived from that of pK b and vice versa.
       higher than that of the interstitium, these two  The law of mass actions applies when a
       factors counteract filtration, i.e., the blood  weak acid (AH) dissociates:
       pressure-driven outflow of plasma water from  –  +
       the endothelial lumen, making the en-  AH  A + H         [13.5]
       dothelium an effective volume barrier be-  It states that the product of the molal concen-
       tween the plasma space and the interstitium.  tration (indicated by square brackets) of the
         If the blood pressure drives water out of the  dissociation products divided by the concen-
  378
       blood into the interstitium (filtration), the  tration of the nondissociated substance re-
                                       mains constant:
       Despopoulos, Color Atlas of Physiology © 2003 Thieme
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