Finite Element Models with Smeared Fields Within Tissue – A Review of the Current Developments

Milos Kojic, Miljan Milosevic, Vladimir Simic, Vladimir Geroski, Bogdan Milicevic, Arturas Ziemys, Nenad Filipovic

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this review we present the current stage and developments in the finite element modeling of mass transport by the smeared concept, introduced and conducted by the first author over several years. The basis of this methodology represents the formulation of a composite smeared finite element (CSFE). The CSFE consists of domains which can be at different length scale, where we have separate physical fields for each of the domains and with the corresponding governing laws. The continuum domains within the CSFE also include 1D transport represented in a continuum form by the appropriate transport tensors. The fields are coupled by the connectivity elements at each node, representing transport properties of the walls separating the domains. Formulation of this methodology and applications on various biomedical problems have been published in a number of recent publications. Here, we give an overview of these achievements and show some results of the current research.

Original languageEnglish (US)
Title of host publicationLearning and Analytics in Intelligent Systems
PublisherSpringer Nature
Pages22-34
Number of pages13
DOIs
StatePublished - 2020

Publication series

NameLearning and Analytics in Intelligent Systems
Volume11
ISSN (Print)2662-3447
ISSN (Electronic)2662-3455

Keywords

  • Biological systems
  • Composite smeared finite element
  • Multiscale models
  • Smeared finite element methodology

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Control and Systems Engineering

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