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Modelling basal‐cell carcinoma behaviour in avascular skin
Author(s) -
Suditsch M.,
Schröder P.,
Lambers L.,
Ricken T.,
Ehlers W.,
Wagner A.
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000283
Subject(s) - basal cell carcinoma , set (abstract data type) , finite element method , partial differential equation , computer science , process (computing) , mathematics , basal cell , mathematical analysis , physics , medicine , pathology , thermodynamics , programming language , operating system
Malignant neoplasms are one of the most dangerous diseases. Within the framework of the well‐established Theory of Porous Media (TPM), a multi‐constituent model is derived. The model is mathematically formulated by a set of coupled partial differential equations which are solved within the well‐known framework of the finite‐element method. The general TPM model is applied to basal‐cell carcinoma in the avascular skin and representative numerical examples show the capabilities of the model.