The most important indicator of homeostasis is the acid-base balance (ABB), which for the last half century in clinical practice has been assessed based on the Boston or Copenhagen schools, or relying on the physicochemical interpretation proposed by P. Stewart, which changed the emphasis from direct pH readings to the generalized state of electrochemical equilibrium of the blood. Today, it is generally recognized that all three approaches to assessing the ABB have weaknesses, and they do not have convincing clinical advantages. Since it has been experimentally established that with metabolic acidosis, 57% of buffering is carried out intracellularly, it is more appropriate to consider the ABB not as a purely isolated blood indicator, but to assess it within the framework of energy metabolism (dissimilation), which is a consequence of oxidation-reduction reactions within the mitochondrial matrix, their intermembrane space and the cell cytoplasm, which can be solved by mathematical modeling. The use of tensor notation for mathematical model equations is not only the adoption of standardization rules, but a far-reaching ideology of the invariance of these equations (preservation during transformations of a certain group). The presented work shows that acid-base and oxidation-reduction homeostasis in mathematical model equations can be interpreted as “play” (variations within established boundaries during transformations of a certain type) for specially formulated tensor invariants.
A.S. Tatevosyan (Wed,) studied this question.