EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 53–69 (2015)

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Finsler-type estimators for the cancer cell population dynamics

Vladimir Balan, Jelena Stojanov

Department Mathematics-Informatics, Faculty of Applied Sciences, Univ. Politehnica of Bucharest, Romania; Technical Faculty "Mihajlo Pupin", University of Novi Sad, Zrenjanin, Serbia

Abstract: 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.

Keywords: dynamical system; spherical harmonics; statistical fitting; Finsler structure; Randers metric; Holland frame

Classification (MSC2000): 53B40; 37C75

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Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

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