Mathematical Modeling of Hemoglobin Release under Hypotonic Conditions

Mathematical model is developed to estimate hemoglobin release under hypotonic conditions at microscopic level. The phenomenon of hemoglobin (Hb) release depends on: 1) the dynamics of repeated opening of hemolytic holes and 2) the radial fluctuations of lipid membrane. Both processes are sensitive to the rate of ionic strength decrease within the surrounding medium. Influence of the rate of ionic strength decrease on hemoglobin release is quantified by the model parameters: 1) the specific decrease of erythrocyte radius and 2) the specific decrease of hole radius during single opening time period of hemolytic hole. The prediction of released amount of Hb influenced by the conductive mechanism is equal to 2.9 %. The prediction of total released amount of Hb influenced by the conductive and convective mechanisms is approximately equal to 4 % of the initial amount of Hb within erythrocyte.