Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Mathematical model of the blocked breast duct. / Kolpak, Eugeny P.; Frantsuzova, Inna S.; Evmenova, Elizaveta O.
в: Drug Invention Today, Том 12, № 7, 01.07.2019, стр. 1554-1558.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Mathematical model of the blocked breast duct
AU - Kolpak, Eugeny P.
AU - Frantsuzova, Inna S.
AU - Evmenova, Elizaveta O.
PY - 2019/7/1
Y1 - 2019/7/1
N2 - Aim: development of a mathematical model for non-invasive mammary duct tumor. Methods: the model was developed using the apparatus technique of ordinary differential equations and partial differential equations. The gland duct is represented by a hollow cylindrical tube inside which the afunctional tissue growth occurs. Results: initial boundary value problems were set for differential equations; stability limits of stationary solutions were determined; an option of the mathematical model for treatment was proposed; conditions for the existence of autowave solutions were found, and numerical solutions were constructed. Conclusion: on the basis of the developed model, an estimate of the tumor growth rate was given; a treatment option was proposed, and an explanation of the reasons for a possible recurrence of the disease was given.
AB - Aim: development of a mathematical model for non-invasive mammary duct tumor. Methods: the model was developed using the apparatus technique of ordinary differential equations and partial differential equations. The gland duct is represented by a hollow cylindrical tube inside which the afunctional tissue growth occurs. Results: initial boundary value problems were set for differential equations; stability limits of stationary solutions were determined; an option of the mathematical model for treatment was proposed; conditions for the existence of autowave solutions were found, and numerical solutions were constructed. Conclusion: on the basis of the developed model, an estimate of the tumor growth rate was given; a treatment option was proposed, and an explanation of the reasons for a possible recurrence of the disease was given.
KW - Differential equations
KW - Mathematical model
KW - Numerical methods
KW - Stability
KW - Tumor
UR - http://www.scopus.com/inward/record.url?scp=85071078095&partnerID=8YFLogxK
UR - https://pdfs.semanticscholar.org/6d7c/1da0922e5bae968880bc13d23251729b4277.pdf
M3 - Article
AN - SCOPUS:85071078095
VL - 12
SP - 1554
EP - 1558
JO - Drug Invention Today
JF - Drug Invention Today
SN - 0975-7619
IS - 7
ER -
ID: 47656075