The Physical Aspects of the Primary Interaction of Therapeutic Ultrasound with Biological Tissue
- Authors: Kudryavtseva G.V.1, Malenkov Y.A.1, Shishkin V.V.1, Shishkin V.I.1, Kartunen A.A.1, Yavaeva T.N.1
-
Affiliations:
- St. Petersburg State University
- Issue: Vol 63, No 6 (2018)
- Pages: 967-974
- Section: Complex Systems Biophysics
- URL: https://ogarev-online.ru/0006-3509/article/view/152816
- DOI: https://doi.org/10.1134/S0006350918060192
- ID: 152816
Cite item
Abstract
The biophysical aspects of the effects of ultrasound on biological tissues are considered. A mathematical model that describes the effects of the primary interaction of mechanical vibrations of a resilient medium (therapeutic ultrasound in the frequency range of 800–3000 kHz) with biological tissues, was developed. The model is represented by a system of three ordinary differential equations of the first order that describe the dependence of the rate of temperature change in biological tissue exposed to ultrasound and the concentration of live cells on the intensity of ultrasonic radiation.
About the authors
G. V. Kudryavtseva
St. Petersburg State University
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
Yu. A. Malenkov
St. Petersburg State University
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
V. V. Shishkin
St. Petersburg State University
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
V. I. Shishkin
St. Petersburg State University
Author for correspondence.
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
A. A. Kartunen
St. Petersburg State University
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
T. N. Yavaeva
St. Petersburg State University
Email: visvi@mail.ru
Russian Federation, St. Petersburg, 199034
Supplementary files
