A model for changes in the sizes of erythrocytes under conditions of osmotic imbalance in a hypoosmotic medium is proposed assuming free diffusion of water through the erythrocyte membrane. Equations relating the minimum and maximum osmotic resistances to the shape of an erythrocyte in an isotonic medium are obtained. A numerical simulation is used to determine how the optical attenuation coefficient varies as a result of the swelling and hemolysis of erythrocytes; this provides a foundation for a new optical method for determining the osmotic resistance of erythrocytes. This method does not require exerting a force on the erythrocytes, is distinguished by simplicity and high speed, and can be implemented using standard spectrophotometers.Introduction. Erythrocytes, their shape and rheological properties -deformability, ability to undergo aggregation, stability with respect to external factors -play an important role in exchange of oxygen, carbon dioxide, and metabolic products in tissues. Over the time they are viable, erythrocytes undergo various kinds of mechanical and chemical interactions which require that their membranes be durable, flexible, and elastic. The ability of erythrocytes to withstand the action of external factors is characterized by the concept of their resistance. As the resistance decreases to a minimum, hemolysis sets in; hemolysis is the failure of the membrane of erythrocytes, accompanied by the escape of hemoglobin into the blood plasma. Depending on the nature of the destructive agent, a distinction is made between osmotic, mechanical, chemical, and thermal hemolysis. Hemolysis can also be caused by UV, ionizing radiation, and x-rays. It is known that, regardless of the type of hemolysis, the breakdown of erythrocytes is preceded by a change in their shape to spherical and swelling to a certain limit. Given this, specialists say that the hemolysis process leads to an excess intracellular osmotic concentration above the external pressure and to rupture of the membrane caused by the internal osmotic pressure.The osmotic resistance of erythrocytes refers to their stability in hypotonic solutions (solutions with an osmotic concentration below that for osmotic equilibrium). The most widespread method of measuring the erythrocyte osmotic resistance (EOR) under clinical conditions is to place the erythrocytes in hypotonic solutions with different concentrations of NaCl [1,2]. After a certain amount of time the samples are centrifuged and the resulting liquid is analyzed photometrically. The EOR is determined from the amount of hemoglobin entering the liquid owing to the destruction of erythrocytes. A filtration-osmotic method has been developed [3][4][5] which combines the use of membrane filters and solutions with different osmotic concentrations. As in the earlier method, sample preparation includes centrifuging. The samples pass through a filter with an average pore size smaller than the dimensions of the erythrocytes. The EOR is determined from the rate at which a fixed volume of suspensio...