The heart and brain rhythms

Man's heart is beaten uniformly (about 60 impacts in one minute in the rest state). The heart as the cylinder piston compresses, and then pushes out the blood and drives it on the body. The pressure of the blood changes during the cardiac performance. It reaches of the greatest value in the left heart ventricle at the moment of its compression (systole). In the arteries during the heart ventricular systole the blood pressure reaches the maximum value, equal to 115-125 mm of the mercury column. At the moment of the cardiac muscle debilitation (diastole) the pressure decreases until 70-80 mm of the mercury column. The ratio of the maximum (systolic) pressure to the minimum (diastolic) pressure is equal, on the average, to 1.6, that is, is close to the golden proportion. Whether is this coincidence random or it reflects some objective regularity of the cardiac activity harmonic organization?

The heart is beaten continuously from man's birth up to his died. And its activity should be optimal and be subordinated to the self-organization laws of biological systems. And as the golden proportion is one of criteria of self-organizing systems naturally one may suspect that the cardiac performance is subordinated to the golden section law. This hypothesis underlies the mammals cardiac activity researches fulfilled by the Russian biologist Zvetkov.

Zvetkov's book 'Heart, Golden Section, and Symmetry'
Zvetkov's book "Heart, Golden Section, and Symmetry"

One may judge about the heart activity by using the electrocardiogram, the curve reflecting different cycles of the cardiac performance.

The heart's electrocardiogram

One may select on the cardiogram two segments of different duration corresponding to systolic (t1) and diastolic (t2) heart activity. Zvetkov established, that there exists the optimal ("golden") palpitation frequency for the man and for other mammals; here the durations of systole, diastole and full cardiac cycle (T) are in the golden proportion, that is, T : t2 = t2 : t1. So, for example, for the man this "golden" frequency is equal to 63 heart impacts in one minute, for dogs - 94 that corresponds to actual palpitation frequency in the rest state.

Further Zvetkov established that if we take as the measurement unit the middle blood pressure in the aorta then the systolic blood pressure in the aorta is 0.382, and the diastolic pressure is 0.618, that is, their ratio corresponds to the golden proportion. It means, that the cardiac performance concerning to the timing cycles and to the blood pressure variation are optimized by the same principle, the law of the golden proportion.

In medical practice there judge about the cardiac performance on pulse. It was appeared that the ratios of pulse (minimum and maximum) pressures are equal to the golden proportion, and this ratio in the aorta does not change at level variation of load and, accordingly, of palpitation frequency.

In Zvetkov opinion, the organization of the cardiac cycle pursuant to the golden proportion is a result of a long evolution of mammals in the direction of optimization of their structure and functions, providing of their life-activity at the minimum consumptions of energy and "alive building stuff".

But not only the heart activity, but also the brain activity also is subjected to the golden proportion law. And the Russian physiologists Sokolov's established this fact.

Man's brain represents by itself the most complicated, self-adapting system; the regulation of the different human body organs activity, its main role is implementation of man's communication with environment. In the brain structure there are gray and white matter. The gray matter represents by itself the concentration of the nervous cells, the white one of the nervous fibers. The nervous cell with the outgrowth is called as a neuron. The brain neurons form miscellaneous networks interacting with the help of electrical signals.

The configurations of neuronal networks represent by themselves oscillating electrical networks. To different brain states there correspond the electrical oscillations with different frequencies, which can be found out by analyzing of the brain electroencephalogram.

The numerous researches showed, that in the healthy man's brain the electrical oscillations of definite frequencies corresponding to his different states dominate. The specific frequencies of electrical oscillations ("the brain rhythms") correspond to each brain state.

The steadiest a-rhythm with the oscillation frequencies from 8 up to 13 hertz corresponds to the rest state of the brain. So-called b-rhythm with the oscillation frequencies 14-35 hertz corresponds to mental activity; the most sluggish oscillations with frequency 0,5 - 4 hertz correspond to the D-rhythm corresponding to the steep dream state. At last at appearance of the trouble or danger sensation there arises so-called q-rhythm with the oscillation frequencies from 4 up to 7 hertz.

Except for values of the limiting oscillation frequencies of the brain for different rhythms, they are characterized also by other characteristics. One of them is the mean geometrical value of extreme frequencies calculated by the formula where f1, f2 are the extreme (boundary) oscillation frequencies. The mean geometrical frequency divides frequency band into high frequency and low frequency areas. The ratio of these frequency bands is a constant for the given wave and is the brain invariant. This invariant was adopted by Sokolov's as the basic characteristic of the brain rhythms. The researcher found out that for the b-rhythm, which corresponds to mental activity, this invariant coincides with the golden proportion! For other rhythms the invariants differ from the classical golden proportion, but they also are characteristic numbers 1,324 (for the q-rhythm), 1,272 (for the a-rhythm), 1,232 (for the D-rhythm) coincided with so-called generalized golden proportions, which will be considered by us on the next pages of our Museum.

Who is the conductor of the multi-voice biorhythmic symphony of our organism and of our brain electrical oscillation frequencies, in particular, of the steadiest a-rhythm frequency? Recently the Russian scientist Slutsky put forward a rather interesting hypothesis to answer to this question. He recognizes that the animal and man organism represent by itself the biorhythmic system, which is developed during a long evolution under influence of the environment, the earth's and cosmic factors. Therefore, it is necessary to search in the environment the source of electromagnetic oscillations with frequencies corresponding to the frequencies of the brain rhythms In Slutsky's opinion, such a source is the geomagnetic field having the oscillation frequency 8-13 hertz, that is, the same as well as the a-rhythm. Also electrostatic atmosphere waves have the same frequency. Thus, we can see consider the brain as a radio receiver, which is self-tuned according to the frequency of the Earth's magnetic field.

The examples considered above verifying an operation of the golden proportion law in physiological rhythms and functions of man's organism illustrate interconnection of phenomena and processes of both physical and biological worlds according to the general law of proportionality in the Nature.