ОБ ОДНОЙ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ЗАМОРАЖИВАНИЯ ЖИВОЙ БИОЛОГИЧЕСКОЙ ТКАНИ КРИОЗОНДОМ ЦИЛИНДРИЧЕСКОЙ ФОРМЫ
Список литературы
Baissalov R. A semi-empirical treatment planning model for optimization of multiprobe cryosurgery/ Baissalov R., G.A. Sandison, B.J. Donnelly J.C.et al. // Phys. Med. Biol. – 2000. – 45. – P. 1085-1098.
Rossi M.R. Experimental verification of numerical simulations of cryosurgery with application to computerized planning / Rossi M.R. and Rabin Y. // Phys. Med. Biol. – 2007. – 52. – P. 4553-4567.
Rabin Y. Numerical solution of the multidimensional freezing problem during cryosurgery / Rabin Y. and Shitzer A. // ASME J. Biomech. Eng.-1998.- 120(1).-P. 32-37.
Pennes H.H. Analysis of tissue and arterial blood temperature in the resting human forearm/. Pennes H.H. // J. Appl. Physiol. – 1948. – Vol. 1. – P. 93-102.
Berezovskiy A.A. Odnomernaya lokal’naya zadacha Stefana plosko-parallel’noy kriodestruktsii biologicheskoy tkani [One-dimensional local Stefan problem for plane cryodestruction of biological tissue] / Berezovskiy A.A. // Zadachi teploprovodnosti s podvizhnimi granitsami [Heat conduction problems with moving boundaries]. – Kiyev . – 1985. – P. 3-8.(Prepr./AN USSR. In-t matematiki:85.2) [in Russian].
Berezovskiy A.A. Nestatsionarnyye zadachi sfericheski-simmetrichnoy gipotermii biotkani [Unsteady problems for spherically symmetric hypothermia of biotissue] / Berezovskiy A.A., Zhurayev K.O., Yurtin I.I. // Zadachi Stefana so svobodnymi granitsami [Stefan’s problems with free boundaries]. – Kiyev. – 1990. – P. 9-20. (Prepr./AN USSR. In-t matematiki:90.27) [in Russian].
Berezovskiy A.A. Matematicheskoye prognozirovaniye kriovozdeystviya na biologicheskiye tkani [Mathematical prediction of cryotherapy on biological tissues] / Berezovskiy A.A., Leontyev Yu.V. // Kriobiologiya [Cryobiology]. – Kiyev. – 1989. – Naukova Dumka. – №3. – P. 7-13 [in Russian].
Budak B.M. Raznostnyy metod so sglagivaniyem koeffitsientovdlya resheniya zadachi Stefana [Difference method with smoothing factors for solving the Stefan’s problem] / Budak B.M., Solovyeva E.N., Uspenskiy A.B. // GVMMF [Journal of computational mathematics and mathematical physics]. – 1965. – Vol.5. – № 5. – P.828-840 [in Russian].
Budak B.M. Raznostnyye metody resheniya nekotorykh krayevykh zadach tipa Stefana [Difference methods for solving some boundary value problems of Stefan’s type] // Budak B.M., Vasilyev F.P., Uspenskiy A.B. // V sb Chislennyye metody v gazovoy dinamike [Computational methods in gas dynamics]. – Iss.4. – M. Izd-vo MGU. – 1965. – P.139-183 [in Russian].
Samarskiy A.A. Ekonomichnaya schema skvoznogo scheta dlya mnogomernoy zadachi Stefana [Efficient through calculation scheme for the multidimensional Stefan’s problem] / Samarskiy A.A., Moiseenko B.D. // GVMMF [Journal of computational mathematics and mathematical physics]. – 1965. – Vol.5. – № 5. – P.816-827 [in Russian].
Buzdov B.K. Mathematical modeling of biological tissue cryodestruction/ Buzdov B.K. // Applied Mathematical Sciences. – 2014. – Vol. 8. – no. 57. – P. 2823 – 2831.
Buzdov B.K. Two-dimensional boundary problems of Stefan’s type in cryomedicine/ Buzdov B.K. // Applied Mathematical Sciences. – 2014. – Vol. 8. – no. 137. – P. 6841-6848.
Buzdov B.K. Modelirovaniye kriodestruktsii biologicheskoy tkani/ Buzdov B.K. // Matematicheskoye modelirovaniye [Mathematical modeling]. – 2011. – Vol. 23. – №3. – P. 27-37[in Russian].
Buzdov B.K. Ob odnoy dvumernoy krayevoy zadache tipa Stefana, voznikayushchey v kriokhirurdii [On one two-dimensional boundary value problem of the Stefan type arising in cryosurgery] / Buzdov B.K. // Itogi nauki I tekhniki. Seriya: Sovremennaya matematika i yeye prilozheniya. Tematicheskiye obzory [Results of Science and Technology. Contemporary mathematics and its applications. Thematic reviews]. – 2019. – Vol.167. – P.20-26 [in Russian].
Buzdov B.K. Numerical study of two-dimensional mathematical model with variable heat exchange coefficient which arises in cryosergary/ Buzdov B.K. // Journal of Applied and Indastrial Mathematics. – 2017. – v. 11. – № 4. – P. 494-499.
Buzdov B.K.Dvumernaya krayevaya zadacha tipa Stefana dlya polukol’tsa [Two-dimensional boundary value problem of Stefan type for a semiring]/. Buzdov B.K. // Izvestiya vuzov. Severo-Kavkazskiy region. Yestestvennyye nauki [Proceedings of higher educational institutions. North Caucasian region. Series: Natural Sciences]. – 2007. – №1. – P. 30-33 [in Russian].
Buzdov B.K. On One Mathematical Model of Cooling Living Biological Tissue / Buzdov B.K.// Mathematics and Statistics. – 2021. – Vol.9. – No.1.-P.65-70.