Finsler structures of 4-th root type in cancer cell evolution model

Abstract

The present work introduces 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 4-the root structure, obtained by means of statistical fitting is able to provide an evaluation of the overall cancer cell population growth, which occurs due to significant changes within the cancerous process. The geometric background, the comparison relative to the Euclidean and to the Randers fitted structures, and the applicative advantages of the constructed geometric structure are discussed.