• Unitary Symmetry of Combinatorial Molecules and Mixtures. Part 2: New Medical Diagnosis as a Combinatorial Tool for Early Prediction of Disease

    Vladimir Komarov

    Department of Chemistry, St Petersburg State University, St Petersburg, Russia


    The set of chemical entities, each of which retains its general structure for all objects, composition and properties (characteristics), can be regarded as pure objects. All other objects are mixtures. Mixtures of chemical entities, as well as the individual nuclei, atoms and molecules, are classical combinatorial objects, which are practically not been studied in this paradigm.

    Abstract organization of combinatorial objects is a system of intersecting true homologous series. In such a homologous series of the combinatorial element a single object is replaced by another single but different element of the selected set of combinable components.

    Are not added, but replaced!

    Under certain energetic relations between the combinable elements for the two-link homologies in the space of physical and (or) the chemical characteristics can be observed phenomenon with simple unitary symmetry invariants.

    Such invariants system allows at very small number of experimental data to find the values of the parameter in question for the entire combinatorial set, i.e. It has great predictive power.

    As the components of the mixture can be regarded as reactants in chemical processes at any single moment (kinetic embodiment) and fraction compositions of various substances which are in equilibrium (steady) state.

    This article will review the basics of combinatorics mixtures and its application in respect of a number of biologically important fluids – blood, lymph and urine. This will in the future not only to construct the taxonomy of these compounds, but also to create an algorithm to determine the “composition of the mixture – pathology” in the very early stages of the disease.

    The main questions that you will find the answers in this article:

    • How to identify the patient on the composition the mixture components of sex hormones for a specific ag
    • How to identify the “norm” and “Pathology” on the composition the mixtures, hormons in the four environments – venous blood, arterial blood, lymph and urine at the earliest stages of the diseas
    • How to construct an algorithm for the selection of pharmacological agents for a particular set of hormones mixture components of a particular patient.

    Keywords: combinatorics, homology, unitary symmetry, conservation laws, mixtures, hormons.

    Pages: 187 – 205 | Full PDF Paper