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574    Part V  Red Blood Cells


           In the physiologic form of the polymer, the component strings of   35
        Hb molecules in a double strand are half-staggered and have a slight
        twist, creating a fiber that is approximately 21 nM in diameter and
        is composed of one central and six peripheral double strands. The   30
        crystal formed in vitro lacks the twist, but its molecular structure is
        known in great detail.                                   25
                                                                Hb solubility
        Role of Hemoglobin S Solubility                          20

        The RBC’s hydration state dominates the physical-chemical behavior   15                         HbF
                                                                                                        HbA 2
        of  HbS.  The  solubility  of  deoxy-HbS  (approximately  16 g/dL,                              HbA
        measured under laboratory conditions) is much lower than the RBC                                HbC
        mean  cell  Hb  concentration  (MCHC).  So,  even  partial  cellular   10
        deoxygenation can raise deoxy-HbS concentration above its solubility   0  0.2    0.4        0.6       0.8
        limit,  allowing  polymerization  to  occur. The  biophysical  effect  of   A  Fraction Hb X
        macromolecular crowding (boosting a protein’s activity far above that
        predicted from concentration alone) confers nonideal behavior upon
        cytoplasmic constituents, augmenting likelihood for polymerization   0.7
        at any given degree of deoxygenation.                                      SS
           In vitro studies carried out under (nonphysiologic) equilibrium
        conditions of stable oxygen tension and long-time scale corroborate
        crystallographic  identification  of  critical  amino  acids  involved  in
        atomic contacts by revealing the influence of other Hbs on HbS solu-
                     3
        bility (Fig. 41.4).  When different Hbs are mixed together, the tetra-  Polymer fraction  0.35 +
        mers dissociate into dimers that intermix and randomly assemble in   +                   +
        a binomial distribution to reform tetramers. This clarifies the impact   +                  + +
        of naturally occurring, intracellular Hb mixtures. In mixtures of HbS   AS  +                  + + +
                                                      S
                                                          A
        and HbA, overall solubility is improved because the hybrid αβ /αβ                             +    +
                                                       S
                                                          S
        tetramer integrates into polymer only one half as well as the αβ /αβ         +                       +
        tetramer (Fig. 41.4A). Addition of HbF to HbS has a greater sparing               +    +  +  +  + +   +
                                              S
        effect because neither the αγ/αγ nor the hybrid αβ /αγ tetramer can   0
        be incorporated into polymer. In this regard, HbC has the same effect   0         50                  100
        as HbA, and HbA 2  has the same effect as HbF (see Fig. 41.4A). This   B   Oxygen saturation (%)
        sparing effect of HbA is such that much lower Hb oxygen saturation
        is  required  for  polymer  to  form  in  HbAS  than  in  HbSS  RBCs    Fig.  41.4  DEOXYHEMOGLOBIN  S  SOLUBILITY,  DEFINED  BY
        (Fig. 41.4B).                                         STUDIES  UNDER  EQUILIBRIUM  CONDITIONS.  (A)  Admixture  of
                                                              other hemoglobins with hemoglobin S raises overall solubility in absence of
                                                              oxygen. The x-axis indicates the proportion of admixed nonsickle Hb. (B)
        Kinetics of Polymerization                            The hemoglobin oxygen saturation required to initiate intracellular polymer
                                                              formation (i.e., polymer fraction) is much lower for HbAS RBC than for
                                                              HbSS RBC. (A, Reproduced with permission from Poillon WN, Kim BC, Rodgers
        Laboratory  measurements  of  polymerization  kinetics,  enabled  by
        inducing (nonphysiologic) near-instantaneous and complete conver-  GP, et al: Sparing effect of hemoglobin F and hemoglobin A 2  on the polymerization of
        sion of HbS from R (oxy) to T (deoxy) state, reveal a delay until   hemoglobin S at physiologic ligand saturations. Proc Natl Acad Sci U S A 90:5039,
                             4
        polymer  forms  explosively.   This  inherent  delay  time  is  inversely   1993; B, reproduced with permission from Schechter AN, Noguchi CT: Sickle hemo-
        related to an extremely high power of the initial Hb concentration;   globin polymer: Structure-function correlates. In Embury SH, Hebbel RP, Mohandas
        it is approximately 10 ms at Hb of 40 g/dL, but it is 100,000 seconds   N, Steinberg MH, editors: Sickle cell disease: Basic principles and clinical practice,
        at Hb 20 g/dL (Fig. 41.5A). HbS solutions and sickle RBCs behave   New York, 1994, Raven Press.)
        similarly in this regard. Delay times must vary enormously from cell
        to cell because they are dominated by the marked heterogeneity in
        MCHC (i.e., shorter delay for more dehydrated cells) and are influ-  short  delay  times  (Fig.  41.5D)  reflect  simultaneous  formation  of
        enced by the presence of any non-S Hb (i.e., longer delay for presence   multiple nucleation sites in cells that polymerize rapidly.
        of HbA, C, or F) (Fig. 41.5E). Admixture of 20% to 30% HbA with
                            +
        HbS  (simulating  HbS-β -thalassemia)  increases  the  delay  time
        10  to  100  fold,  and  admixture  of  20%  to  30%  HbF  with  HbS   Polymerization Under (Patho)physiologic Conditions
                     3
                           4
        increases it by 10 - to 10 -fold.
           The  mechanism  of  such  polymer  formation  is  hypothesized  to   In physiology, sickle RBCs are neither at equilibrium with constant
        proceed  by  a  two-step,  double-nucleation  process  (Fig.  41.5F).   oxygen tension nor undergoing instantaneous or complete deoxygen-
        Accordingly, the initial homogeneous nucleation takes place in bulk   ation.  Rather,  irrespective  of  the  inherent  delay  time,  the  rate  of
        solution, during which small numbers of tetramers associate, with   deoxy-HbS polymer growth in vivo is limited by the rate at which
        accumulation not favored until a critical nucleus size develops (esti-  RBC  deoxygenation  develops  during  microvascular  passage.  Since
        mated to be 30 to 50 tetramers). Only then can new tetramers be   this transit time is on the order of ~1 second, it probably effectively
        added lengthwise to form a large polymer. After this occurs, hetero-  renders irrelevant any inherent delay times of less than ~1 second
                                                                        4
        geneous nucleation causes explosive, autocatalytic polymer formation   (Fig. 41.5G).  Thus kinetic considerations argue that most RBCs in
        as  new  fibers  form  and  extend  on  the  surface  of  the  preexisting   patients  with  sickle  cell  anemia  are  unlikely  to  sickle  during  their
        polymer. It is the time until this explosive formation occurs that labo-  passage  through  the  microcirculation  unless  something,  such  as
        ratory experiments detect as the inherent delay time. It is believed   RBC–endothelial adhesion, slows their transit.
        that the striking irreproducibility of long delay times (Fig. 41.5B)   Predictability is complicated by the marked heterogeneity among
        reflects stochastic formation of a single (or at least very few) homo-  sickle  RBCs  in  MCHC  and  HbF  content,  as  well  as  the  natural
        geneous nucleation event(s) in cells that slowly polymerize and that   biologic  variability  in  capillary  transit  times.  A  good  qualitative
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