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Angiology
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A Physical Model for the Cardiovascular and the Respiratory Systems

Michele Nichelatti

Dept. of Physics, Faculty of Medicine and Surgery, University of Bologna, Bologna, Italy

Giovanni Pallotti

Dept. of Physics, Faculty of Medicine and Surgery, University of Bologna, Bologna, Italy

Paolo Pettazzoni

Dept. of Physics, Faculty of Medicine and Surgery, University of Bologna, Bologna, Italy

We propose a two degrees of free dom oscillating system to simulate the working of both respiratory and car diovascular apparatus and to investi gate the physico-mathematical char acteristics of a possible decoupling between the physiological systems.

We suppose a double mathemati cal pendulum with forced and damped oscillations, with the first frequency equal to four times the sec ond one; not only, does the system not give resonance or beatings, but it also simulates with reasonable approxi mation the ratio between natural rel ative frequencies.

The two Langragian equations, that have form: with

cannot be solved in an analytical way, even if we suppose an approxi mation for little oscillations.

Now we are studying another two d-o-f mechanical system, with only one suspension point; we are also studying both the electrical equiva lent circuits.

Angiology, Vol. 39, No. 3, 241-245 (1988)
DOI: 10.1177/000331978803900306
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