65-8 st.Matrosova, Biysk 659316, Altaiskii krai, Russia

skvort@college.biysk.secna.ru

Postmaster@smirnov.biysk.ru

The whole history of modern natural science development shows that the transition of any science from the descriptive level depends on 3 constituents:

- analysis of available facts and theoretical conceptions;
- synthesis of mathematical model (formulas, functional dependence of variables);
- experimental testing;

The development of any science becomes really scientific only when transition from qualitative description of available phenomenon (i.e. pure speculative conceptions that can be innumerable) to quantitative description of interaction of different changeable facts (phenomena, values), the latter being called variables in mathematics, takes place. The short record of such interactions is called a formula or functional dependence of variables. In the easiest case the formula describes the dependence of two variables, e.g. "x" and "y" according to definite principle (law).

The** "Canon of Changes"** also describing the changes of variable
processes in the basis of** Old China medicine.** It should be
assumed that this treatise deals with some functional dependencies between
the variable quantities.

Then each hexagram (or trigram) line is variable **x (x _{1},
x_{2} ... x_{6})**. Only two discrete meanings Yin-Yang

Let us consider the structure and possible applications of hexagrams. Each hexagram has six positions (lines) differing in their locations. Each position can be either in Yang or Yin location, it is shown by whole or interrupted line.

Tibet pulse diagnostics also gives six pairs of mutually opposite signs
of pulse:

Yang
Strong Surface (superficial) Swollen Quick Energetic (vigorous) Full, strong |
Yin
Weak Deep (intensified) Flat Slow Flabby Empty, mild (soft) |

Let us consider the system of twelve organs arranged in order of round - the clock - circulation of energy. Let us give a special hexagram received from the connection of two trigrams according to this organ in Fu - Xi and Wen - Wang orders to each organ.

We mark transition from one hexagram to another by means of arrows coinciding with the energy movement direction in corresponding canals (organs). The given approach allows to show graphically in the form of the appropriate changing of hexagram lines the process determined in traditional acupuncture as movement of energy through canals.

Each hexagram line corresponds to a definite point of six energies of a canal given. In this case an uninterrupted or interrupted line is interpreted as closed or open point or as excess or deficiency of energy in a canal accordingly.

Example:

Let us choose pairs of organs belonging to one original element, e.g. "C" and "iG". The upper trigrams of appropriate hexagram are the same, but the lower ones are opposite. It looks like this mathematically:

**= f _{1}(1, 1, 0, 1, 0, 1)**

or **f _{1}(1, 1, 0, 1 ,0, 1) = f_{0}(1, 0, 1) + f(1,
1, 0)**.

**= f _{2}(0, 0, 1, 1, 0, 1)**.

**f(1, 1, 0)** and **f(0, 0, 1)** functions (
and trigrams
in Wen-Wang Order) are opposite. If due to some reasons their opposition
disappears, process of appropriate lines changes violates when one hexagram
turns into another, that process is called energy blocking in traditional
acupuncture, i.e. it is impossible to achieve a clinical effect while influencing
points of six main energies. In this case a pair of organs ("C" and "iG"
can be described mathematically only by means of trigrams (
and ),
(**f _{0}(1, 0, 1)** and

Thus, such different conceptions as pulse signs, points of six main enregies, main energies, wonderful meridians can be described by means of one mathematical model,namely,hexgram or corresponding functional dependence.

The state of main energy of organ (canal) may also be described in a form of Pofessor Park's diagrams.

In this case every such diagram corresponds to a definite hexagram. There are twelve such diagrams all in all, hence, twelve hexagrams are necessary to describe them. For example:

Kidneys dryness excess. |
Stomach wind excess. |

Wen-Wang orders is a scheme of obviously expressed processes. That is why modern scholar of acupuncture in China use just that very order in diagnostics and treatment. In this case a definite hexagram from Wen - Wand order corresponds to an affected organ. Six hexagram lines correspond to six main points of a canal. A corresponding line of a hexagram while influencing the point turns to the opposite one and there forms already a new hexagram that must correspond to a season and be balanced.

The above conformity between diagrams of six main energies of an organ and hexagrams can also be extended to constitution of six energies describing all system of twelve organs. Very often it is impossible to use Professor Park's Jae Woo algorithms in practical work and to distinguish the central affected organ due to distribution of the excess and deficiency on the pulsegram.

**Constitutions of six energies with the distinguished affected central
organ:**

Constitution ofYang - Wind. |
Constitution ofYin - Cold. |

**Pulsegrams where it is impossible to distinguish the central affected
organ:**

An ordinary tactics of treatment consists in improving disbalance between organs having the clearest distinction or it consists in distinguishing an organ being the main disbalance link and in influencing organs connected. with it to improve this disbalance. The hexagram structure itself already means disbalance between organs. From this point of view disbalance between organs is quite a normal phenomenon. Thus, there are both favourable and unfavourable hexagrams, and there are favourable, and unfavourable disbalances of organs for the season given.

Thus, an **Old China medicine **was built up not on the mythical
ideas (energy, Yin - Yang, etc.), but on the harmonious **theory of mathematical
analysis of changeable processes** which were developed thousands years
ago. In this case the terms above are the notions of definite mathematical
operations. This theory can be translated into modern mathematical language
but it is mush easier to use those symbols listed in it.

French nomenclature is used.

**[1] **"Treatment of Insulin-Dependent and Insulin-Independent Diabetes
in Each Definite Clinical Case Using Wonderful Channels, 4Energy Seas,Yin-Yang Syndromes on the Base of Pulse Data and Pulsegram Analysis", The Web-Journal of Acupuncture, August 1998.