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Nonlinear noise waves in soft biological tissues
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för maskinteknik.
2013 (engelsk)Inngår i: Acoustical Physics, ISSN 1063-7710, E-ISSN 1562-6865, Vol. 59, nr 5, s. 584-589Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The study of intense waves in soft biological tissues is necessary both for diagnostics and therapeutic aims. Tissue represents an inherited medium with frequency-dependent dissipative properties, in which waves are described by nonlinear integro-differential equations. The equations for such waves are well known. Their group analysis has been performed, and a number of exact solutions have been found. However, statistical problems for nonlinear waves in tissues have hardly been studied. As well, for medical applications, both intense noise waves and waves with fluctuating parameters can be used. In addition, statistical solutions are simpler in structure than regular solutions; they are useful for understanding the physics of processes. Below a general approach is described for solving nonlinear statistical problems applied to the considered mathematical models of biological tissues. We have calculated the dependences of the intensities of the narrowband noise harmonics on distance. For wideband noise, we have calculated the dependence of the spectral integral intensity on distance. In all cases, wave attenuation is determined both by the specific dissipative properties of the tissue and the nonlinearity of the medium.

sted, utgiver, år, opplag, sider
Springer , 2013. Vol. 59, nr 5, s. 584-589
Emneord [en]
linear and nonlinear waves, biological tissues, correlation function, acoustic noise
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-6851DOI: 10.1134/S1063771013050126ISI: 000324318500014Lokal ID: oai:bth.se:forskinfo1ED0E69D198814B0C1257C2E002E27BBOAI: oai:DiVA.org:bth-6851DiVA, id: diva2:834402
Tilgjengelig fra: 2013-11-25 Laget: 2013-11-25 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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