Modelling basal‐cell carcinoma behaviour in avascular skin. Issue 1 (25th January 2021)

• Record Type: Journal Article
• Authors: Suditsch, M.; Schröder, P.; Lambers, L.; Ricken, T.; Ehlers, W.; Wagner, A.
• Other Names: Kuhl D. guestEditor.; Meister A. guestEditor.; Ricoeur A. guestEditor.; Wünsch O. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 20:Issue 1(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-01-25
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.202000283
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: 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.