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Mathematical model of the blocked breast duct. / Kolpak, Eugeny P.; Frantsuzova, Inna S.; Evmenova, Elizaveta O.

In: Drug Invention Today, Vol. 12, No. 7, 01.07.2019, p. 1554-1558.

Research output: Contribution to journal › Article › peer-review

Harvard

Kolpak, EP, Frantsuzova, IS & Evmenova, EO 2019, 'Mathematical model of the blocked breast duct', Drug Invention Today, vol. 12, no. 7, pp. 1554-1558.

APA

Kolpak, E. P., Frantsuzova, I. S., & Evmenova, E. O. (2019). Mathematical model of the blocked breast duct. Drug Invention Today, 12(7), 1554-1558.

Vancouver

Kolpak EP, Frantsuzova IS, Evmenova EO. Mathematical model of the blocked breast duct. Drug Invention Today. 2019 Jul 1;12(7):1554-1558.

Author

Kolpak, Eugeny P. ; Frantsuzova, Inna S. ; Evmenova, Elizaveta O. / Mathematical model of the blocked breast duct. In: Drug Invention Today. 2019 ; Vol. 12, No. 7. pp. 1554-1558.

BibTeX

@article{f21d7ee14c3a49db802e28c4175a0d3d,
title = "Mathematical model of the blocked breast duct",
abstract = "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.",
keywords = "Differential equations, Mathematical model, Numerical methods, Stability, Tumor",
author = "Kolpak, {Eugeny P.} and Frantsuzova, {Inna S.} and Evmenova, {Elizaveta O.}",
year = "2019",
month = jul,
day = "1",
language = "English",
volume = "12",
pages = "1554--1558",
journal = "Drug Invention Today",
issn = "0975-7619",
publisher = "Association of Pharmaceutical Innovators",
number = "7",

}

RIS

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