Blow-up singular dynamics in breast cancer metabolism

Abstract

Abstract Cancer cells have an altered metabolism, which results in specific kinetics of the heat localization and coherent pattern formation. Modified nonlinear Pennes equation was used for the modeling of the metabolic temperature dynamics. The numerical experiments were conducted in order to identify the tissue metabolic reactions in terms of multiscale correlation parameters (spatial invariants) as the characteristics of globally convergent dynamics of blow-up collective modes and the cancer precursor.