Respiratory Acid/Base Balance Acid-Base Balance Bioengineering 6000 CV Physiology Gas Transport, pH, and Erythrocytes Lungs Tissue Acid-Base Balance Bioengineering 6000 CV Physiology Role of Hb in CO2/pH Management (Lungs) H+ release and uptake drive CO2 conversion Acid-Base Balance Bioengineering 6000 CV Physiology pH Regulation • Normal plasma pH is 7.4 = 40 nM (i.e., low H+ conc.) • Mammals can tolerate a range of 7.0-7.8 (100-16 nM H+) • Largest source of H+ ions is production of CO2 (and bicarb) + CO2 + H2O HCO3 + H • Imbalances in production and excretion of CO2 alter pH • Meat produces net acid, plants net base, overall net acid; kidneys (in mammals) manage net changes • Balance between metabolic and respiratory mechanisms Acid-Base Balance Bioengineering 6000 CV Physiology Henderson-Hasselbalch Equation Dissociation equation for weak acids We can define a dissociation constant K [H+ ][A ] K= [HA] and as with pH, derive a logarithmic scale for K pK = log10 (K) Acid-Base Balance Bioengineering 6000 CV Physiology Henderson-Hasselbalch Equation Starting from the dissociation constant K [H+ ][A ] K= [HA] and taking the log of both sides, we can write log10 (K) = log10 ([H ]) + log10 + which we can rearrange as log10 ([H+ ]) = log10 (K) + log10 With, after substituting yields pH = pK + log Acid-Base Balance [A ] [HA] [A ] [HA] [A ] [HA] Bioengineering 6000 CV Physiology Henderson-Hasselbalch Equation So the final equation is pH = pK + log [A ] [HA] Which we can also write more generally as pH = pK + log [proton acceptor] [proton donor] If pH = pK then half the acid is bound and the other half dissociated. If pH - pK = 1, dissociated exceeds by factor of 10. Acid-Base Balance Bioengineering 6000 CV Physiology Henderson-Hasselbalch Equation CO2 + H2O H2CO3 H+ + HCO3- Now if we apply the HH Equation to the CO2/HCO3 pair (noting that this is the result of two interactions and hence not strictly speaking, a dissociation): pH = pK0 + log [HCO3 ] [CO2 ] Or substituting for pK’ (=6.1 in blood at 37C) and PCO2 with α the solubility of CO2 pH = 6.1 + log Acid-Base Balance [HCO3 ] ↵PCO2 Bioengineering 6000 CV Physiology Role of respiration in Acid Balance pH = 6.1 + log [HCO3 ] ↵PCO2 • pH depends on PCO2 (respiration) and HCO3(metabolism/kidneys) • Respiratory acidosis: PCO2 rises and pH drops • Metabolic acidosis: loss of HCO3- and pH drops • Changes in respiration can change PCO2 and thus pH levels in the blood • Charge balance is necessary: – e.g. drop in Cl- leads to drop in HCO3- and acidosis Acid-Base Balance Bioengineering 6000 CV Physiology Blood Buffers • Best buffers are those with pK = pH • The CO2/HCO3- system is not a major chemical buffer (pK is too low) but it is the largest functional buffer because of regulation of HCO3- in the kidneys • Proteins (hemoglobin) and phosphates are the real chemical buffers • To change blood pH from 7.4 to 7.0 requires 28 mM H+ – 18 mM by conversion HCO3- to CO2 – 8 mM by hemoglobin – 2 mM by blood proteins and phosphates • To achieve the same pH change in aqueous solution requires 60 nM H+ Acid-Base Balance Bioengineering 6000 CV Physiology
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