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@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 Яваева, {Татьяна Николаевна}",
note = "ISSN 0006-3509 (печатный вариант) ISSN 1555-6654 (электронный вариант)",
year = "2018",
doi = "10.1134/S0006350918060192",
language = "English",
volume = "63",
pages = "967–974",
journal = "Biophysics (Russian Federation)",
issn = "0006-3509",
publisher = "Springer Nature",
number = "6",

}

RIS

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 - Яваева, Татьяна Николаевна

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

UR - http://links.springernature.com/f/a/LLhHRsasE-b8v1Ff18eW2A~~/AABE5gA~/RgReWvJhP0QwaHR0cDovL3d3dy5zcHJpbmdlci5jb20vLS8yL0FXazdrWm9lRGZ4blZWYnpVOGZsVwNzcGNCCgAA4b55XD4thEVSDXZpc3ZpQG1haWwucnVYBAAABuc~

UR - https://www.researchgate.net/publication/331377046_The_Physical_Aspects_of_the_Primary_Interaction_of_Therapeutic_Ultrasound_with_Biological_Tissue

U2 - 10.1134/S0006350918060192

DO - 10.1134/S0006350918060192

M3 - Article

VL - 63

SP - 967

EP - 974

JO - Biophysics (Russian Federation)

JF - Biophysics (Russian Federation)

SN - 0006-3509

IS - 6

ER -

ID: 38671836