### 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.

Original language | English |
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Pages (from-to) | 1554-1558 |

Journal | Drug Invention Today |

Volume | 12 |

Issue number | 7 |

Publication status | Published - 1 Jul 2019 |

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### Scopus subject areas

- Drug Discovery

### Cite this

*Drug Invention Today*,

*12*(7), 1554-1558.