A model for oxygen storage by hemoglobin

An oxygen store based on the reversible combination of oxygen with hemoglobin or related hemoproteins could be of considerable value to organisms or tissues faced with intermittent hypoxia or anoxia. It would be of interest, therefore, to know the physical and chemical requirements and limitations of useful storage. A model is presented which predicts storage time from physical, chemical, and geometric properties of the store. Storage time is arbitrarily defined as the time for 50% of the stored O2 to diffuse from a fully-loaded store when the store is exposed to a zero O2 environment. Results are presented in the form of simple approximate equations and in graphical form and indicate that: (1) a wide range of storage times can be obtained with reasonable biological parameters; (2) storage times approaching 1,000 s can be achieved even with stores of microscopic dimension; (3) biological O2 storage is predominantly diffusion-limited, although reaction-limited behavior is not impossible; and (4) the major effect of co-operativity appears to be on the form of O2 release: hemoglobins without co-operativity release O2 at a constantly declining rate, whereas those with high co-operativity release O2 at a constant rate. The model is applicable not only to hemoglobin-based O2 storage, but also to any reaction-diffusion system in which one substance can be "stored" by reversible combination with some other substance which acts as the store.