### Investigation of resonances in the acoustic model of the cell

Title Investigation of resonances in the acoustic model of the cell T. S. Yurova1, I. Y. Popov11ITMO University We study the Laplace operator for the domain with semitransparent boundary considered as a potential supported by a surface. The asymptotic of the solution of the scattering problem with a singularity on the surface and its relation to resonances are obtained. An application of the result can be explaining the selective destruction of cancer cell membranes in an ultrasound field. resonances of the scattering matrix, asymptotic Yurova T. S., Popov I. Y. ''Investigation of resonances in the acoustic model of the cell'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 204-210. Available at: https://conf.svmo.ru/files/2021/papers/article08.pdf. - Date of access: 30.11.2022.