The Physical Aspects of the Primary Interaction of Therapeutic Ultrasound with Biological Tissue

Research output

Abstract

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.
Original languageEnglish
Pages (from-to)967–974
Number of pages7
JournalBiophysics (Russian Federation)
Volume63
Issue number6
DOIs
Publication statusPublished - 2018

Fingerprint

Ultrasonics
Tissue
interactions
ultrasonic radiation
Vibration
mathematical models
Theoretical Models
differential equations
Therapeutics
frequency ranges
Ordinary differential equations
Radiation
Vibrations (mechanical)
vibration
Temperature
Mathematical models
cells
temperature

Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)
  • Physics and Astronomy(all)

Cite this

@article{85b2e453ace84085b3fe03620b59573e,
title = "The Physical Aspects of the Primary Interaction of Therapeutic Ultrasound with Biological Tissue",
abstract = "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.",
keywords = "ultrasonic irradiation, intensity of ultrasonic radiation, mathematical model, biological tissue, biophysics of ultrasound, Ultrasound, irradiation, Therapeutic, Biological Tissue, intensity, mathematical model, differential equations, live cells, frequency range, temperature change",
author = "Malenkov, {Yu. A.} and Kudryavtseva, {G. V.} and Shishkin, {V. V.} and Shishkin, {V. I.} and Kartunen, {A. A.} and Yavaeva, {T. N.}",
note = "ISSN 0006-3509 (печатный вариант) ISSN 1555-6654 (электронный вариант)",
year = "2018",
doi = "DOI 10.1134/S0006350918060192",
language = "English",
volume = "63",
pages = "967–974",
journal = "Biophysics (Russian Federation)",
issn = "0006-3509",
publisher = "Springer",
number = "6",

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TY - JOUR

T1 - The Physical Aspects of the Primary Interaction of Therapeutic Ultrasound with Biological Tissue

AU - Malenkov, Yu. A.

AU - Kudryavtseva, G. V.

AU - Shishkin, V. V.

AU - Shishkin, V. I.

AU - Kartunen, A. A.

AU - Yavaeva, T. N.

N1 - ISSN 0006-3509 (печатный вариант) ISSN 1555-6654 (электронный вариант)

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - ultrasonic irradiation, intensity of ultrasonic radiation, mathematical model, biological tissue, biophysics of ultrasound

KW - Ultrasound

KW - irradiation

KW - Therapeutic

KW - Biological Tissue

KW - intensity

KW - mathematical model

KW - differential equations

KW - live cells

KW - frequency range

KW - temperature change

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M3 - Article

VL - 63

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JO - Biophysics (Russian Federation)

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