Chapter 92 Further Attempts at the Mathematization of Traditional Chinese Medicine

The so-called holistic concept can be understood as the importance of the proportion of various situations at the statistical level, that is, large-scale data collection is required and then a certain statistical analysis is carried out to form a certain transfer probability matrix, and then a specific analysis can be carried out for the specific situation, that is, the abstraction with the real situation is transformed into a certain sequence, and the selective expression is a certain matching sequence, that is, specific diagnosis and therapy.

In this process, due to the selective expression of the sequence, the measurable effect of the final sequence can have a certain distribution, we guess that it is a normal distribution, so the so-called dialectical treatment is a summary of these situations, and the philosophical concepts of various cathode anti-yang and other material poles are also derived from the distribution of specific situations similar to Taiji diagrams.

The specific sequence formation process of syndrome differentiation and treatment is based on the information collected by various means, combined with the existing clinical experience, a certain feature recognition can be achieved, and finally a certain pattern recognition can be formed continuously matching, that is, the overall understanding of the disease. Then the specific medication is based on certain rules, that is, the formation of a high-dimensional structure (the principle of various treatments can be regarded as the high-dimensional structure of the probability matrix), selectively expressed as a specific sequence/pathway, from the underlying symptoms to continuously traverse to form different diseases, syndromes and other high-dimensional structures, and then exert a deterministic influence, like a simple addition and subtraction.

Therefore, we intend to use the stochastic process theory in mathematics to make a comprehensive underlying understanding of the five elements of yin and yang, the five internal organs, and the qi and blood theory of traditional Chinese medicine, and to discover that the so-called etiology is an emerging property of the probability network in combination with the principle of fixed point.

The five elements of yin and yang, the five internal organs, and qi and blood are all as an abstraction, but the level and degree of abstraction are different, but they can all be regarded as different basic states, such as the ACGT four bases of genes; The former corresponds to the transfer probability matrix of Markov process in stochastic processes, and is a high-dimensional structure, which can be comprehensively represented at this level according to the basic theorem of calculus; The treatment of traditional Chinese medicine is not to treat all symptoms definitively, but to grasp a certain high-dimensional structure, such as various diseases, syndromes, etc., so as to play a wonderful phenomenon in the eyes of ordinary people, but in the abstract nature of high dimensions, its logic is self-consistent, but people need to have enough intelligence to understand. (Under the premise that there is no definite method, in fact, the method of symptomatic treatment is still very good, such as the various treatments of the emergency department need to be simple and rough, the bleeding is stopped, and the blood pressure is lowered; this is a dynamic programming method, in general, a good local optimal can be formed, and there is a certain probability of constantly approaching the overall optimum)

As a generalization, we regard the high-dimensional structures formed by these sequences, such as diseases and syndromes, as a pattern, at which we can understand their possible interactions, i.e., the evolution of various diseases. And these relationships need to be constructed between sequences that are sufficiently fine-grained to have a greater probability of correlation.

The process of essence and appearance corresponds to the transition probability matrix and the formation of specific sequences in this hidden Markov model. This kind of relationship can be extended to all kinds of divisions, see the subtleties, and constantly balance changes.

Holistic diagnosis is a method of statistical analysis, in which complex interactions between sequences, such as correlations, are expressed as a whole by certain abstract operations. That is, the construction of complex relationships of physiology and pathology.

Yin and Yang is the mathematical abstraction of the unity of opposites, in which the mutual root and mutual use, the balance of growth and ebbation, and the mutual transformation are all based on the dimensionality reduction expression of the high-dimensional structure (probability matrix) formed by it, but the combination of specific basic states can form different sequences, corresponding to different characteristics and even different patterns. Thus, the imbalance in the statistical level between the various sequences of formation corresponds to the manifestations of various diseases.

The five elements are abstractions that are less abstract than yin and yang, which introduce more basic states, and these wholes can build a certain correlation with each other, such as mutual growth and mutual restraint. Of course, as a high-dimensional structure of its formation, that is, the probability matrix, its selective expression can still form sequences corresponding to many phenomena, and then construct a certain correlation at this level. Of course, because the sequence has a certain probability distribution, it can be represented by the membership function of fuzzy mathematics, so the attributes of the various five elements of our macroscopic things are to have these basic proportions of the states of gold, wood, water, fire, and earth.

Essentially, the proportions between these sequences are a prerequisite for maintaining the stability of the high-dimensional structure, which is what we often call dynamic equilibrium. This imbalance is the disproportionality of the high-dimensional probability matrix, so that the specific expression sequence is more out of the normal range, and therefore has a greater probability of manifesting the disease state. Among them, sub-health may be an intermediate process.

The five elements can construct a certain correspondence with our viscera, of course, not completely, but some correspondence is still helpful to think at this level: heart, fire, kidney, water, lungs, gold, spleen, earth, liver, wood, which constructs a certain interaction relationship at the organ level, of course, it is very macroscopic, that is, not exactly matched, but as a simplified understanding, it is possible, and it is also a method of principal component analysis, and the consideration of limited objects can make a relatively high degree of credibility speculation on the macro reality.

At present, my understanding is to understand the relationship between internal organs in terms of more social relationship patterns, such as harmony, reconciliation, deception, and other concepts that we can understand on a daily basis. If you are nervous, diarrhea may occur, which is the so-called liver and stomach disharmony. As an explanation, it is still possible to form a set of logical self-consistent systems! This may be like the construction of axiom systems of Euclidean geometry and non-Euclidean geometry, based on limited axioms/axioms, which can be continuously combined to form complex theorems and other laws. Among them, the law of the transmission of various diseases formed by the five elements is actually a high-dimensional theoretical system based on this underlying theory, in which the mutual growth and mutual restraint of the five elements can be used as a universal law, that is, in the treatment of our determination of the specific path, we can refer to the actual laxative, and the virtual is to supplement the mother. The therapeutic principle of inhibiting the strong and supporting the weak, that is, the different treatments applied to the upstream and downstream of the pathway can have a certain equivalent effect (aquatic wood, wood produces fire, fire produces earth, earth produces gold, gold produces water, if there is a liver problem, it can exert influence on its upstream and downstream, such as promoting the upstream or inhibiting the downstream), and it may play other roles on the upper level (the self-reflexive law of the pathway), that is, the formation of a high-dimensional feedback structure. For example, aquatic wood + wood fire = water and fire (similar to matrix multiplication), depending on their relative proportions, so we can take these measures comprehensively to target the role of a specific part, such as excessive fire, which can inhibit its upstream that is wood, promote its downstream that is, soil, and can consider the promotion of water in the upper and upper reaches and gold in its lower and lower reaches, which is the so-called comprehensive treatment. Of course, reality is a collection of multiple situations, and we need to introduce the concept of the game to finalize the specific treatment measures, i.e., equilibrium, which is our specific therapy. This may require us to determine a certain algorithm to derive the specific processing ratio, a certain objective function, and then determine its extreme or optimal value, and so on. Our ancients have summed up certain patterns, the most impressive of which is Zhang Zhongjing's "Treatise on Typhoid Fever and Miscellaneous Diseases", the prescriptions he summarized can have a great correspondence with various dialectics, and can be used in clinical practice to this day. In essence, this is a reality-based expression of the abstract theories of the five elements of yin and yang, that is, it is closer to the clinic. This is also our pursuit, this kind of execution and really play a role, we are confident that we can be able to traverse the high-dimensional structure formed by the operation of these underlying basic states, and can form a certain correspondence. Therefore, this system may be more viable, just like the current open source community, we can continue to move forward on the basis of our predecessors, rather than being weighed down by our predecessors. To be reasonable, we can think of these predecessors' theories as a kind of third-party library. So we went around and around and went back to programming. This is a further development of the mathematization of our TCM, and after using various mathematical tools to explain its underlying philosophy, we believe that this explanation is powerful and close to reality, and that these mathematical structures are beautiful, but we cannot prove it for the time being, or we cannot explain it to most people. Therefore, if we have to get rid of the beauty and pleasure brought about by this theoretical construction, and stop being self-congratulatory, we must find a certain way to prove its usefulness. It is impossible for us to become doctors in person, but fortunately, we are in the information age, and we can build certain algorithms and even certain software to prove their superiority. Of course, this is a new journey.