Geodesic
Finsler-type Estimators for the Cancer Cell Population Dynamics
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 53 .

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We introduce a Finslerian model related to the classical Garner dynamical system, which models the cancer cell population growth. The Finsler structure is determined by the energy of the deformation field--the difference of the fields, which describe the reduced and the proper biological models. It is shown that a certain locally-Minkowski anisotropic Randers structure, obtained by means of statistical fitting, is able to provide a Zermelo-type drift of the overall cancer cell population growth, which occurs due to significant changes within the cancerous process. The geometric background, the applicative advantages and perspective openings of the constructed geometric structure are discussed.
DOI : 10.2298/PIM140602001B
Classification : 53B40, 37C75
Keywords: dynamical system, spherical harmonics, statistical fitting, Finsler structure, Randers metric, Holland frame 
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     author = {Vladimir Balan and Jelena Stojanov},
     title = {Finsler-type {Estimators} for the {Cancer} {Cell} {Population} {Dynamics}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {53 },
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Vladimir Balan; Jelena Stojanov. Finsler-type Estimators for the Cancer Cell Population Dynamics. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 53 . doi : 10.2298/PIM140602001B. http://geodesic.mathdoc.fr/articles/10.2298/PIM140602001B/

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