
MODELING THE DYNAMICS OF THE TUMOR DEVELOPMENT PROCESS
Author(s) -
VLADIMIR VLADIMIROVICH SELVINSKY
Publication year - 2020
Language(s) - English
DOI - 10.22250/jasu.2
Subject(s) - multivariable calculus , dynamics (music) , development (topology) , process (computing) , basis (linear algebra) , ordinary differential equation , mathematical model , computer science , organism , differential equation , mathematics , calculus (dental) , biology , engineering , control engineering , medicine , physics , statistics , mathematical analysis , geometry , dentistry , acoustics , operating system , paleontology
This article discusses the well-known mathematical model of American scientists Rescigno and De Lisi, describing the growth of a tumor of a living organism. The model is a multivariable system of ordinary differential equations with respect to variables characterizing tumor cell and lymphocyte populations. On the basis of the mathematical package of MathCad, a detailed study of various options for the possible development of the tumor is carried out.