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

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Book cover Computational Bioengineering and Bioinformatics (ICCB 2019)

Part of the book series: Learning and Analytics in Intelligent Systems ((LAIS,volume 11))

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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.

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Acknowledgments

The authors acknowledge support from the City of Kragujevac, Serbia.

Funding

This work is supported by the grant NCI U54 CA210181. Also, it is supported by the SILICOFCM project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 777204. This research was also funded by Ministry of Education and Science of Serbia, grants OI 174028 and III 41007.

Author information

Authors and Affiliations

  1. The Department of Nanomedicine, Houston Methodist Research Institute, 6670 Bertner Avenue R7 117, Houston, TX, 77030, USA

    Milos Kojic & Arturas Ziemys

  2. Bioengineering Research and Development Center BioIRC Kragujevac, Prvoslava Stojanovica 6, 34000, Kragujevac, Serbia

    Milos Kojic, Miljan Milosevic, Vladimir Simic, Vladimir Geroski & Bogdan Milicevic

  3. Serbian Academy of Sciences and Arts, Knez Mihailova 35, 11000, Belgrade, Serbia

    Milos Kojic

  4. Belgrade Metropolitan University, Tadeusa Koscuska 63, 11000, Belgrade, Serbia

    Miljan Milosevic

  5. Faculty for Engineering Sciences, University of Kragujevac, Sestre Janic 6, 34000, Kragujevac, Serbia

    Nenad Filipovic

Authors
  1. Milos Kojic
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  2. Miljan Milosevic
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  3. Vladimir Simic
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  4. Vladimir Geroski
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  5. Bogdan Milicevic
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  6. Arturas Ziemys
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  7. Nenad Filipovic
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Corresponding author

Correspondence to Milos Kojic .

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Editors and Affiliations

  1. Faculty of Engineering, University of Kragujevac, Kragujevac, Serbia

    Nenad Filipovic

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Kojic, M. et al. (2020). Finite Element Models with Smeared Fields Within Tissue – A Review of the Current Developments. In: Filipovic, N. (eds) Computational Bioengineering and Bioinformatics. ICCB 2019. Learning and Analytics in Intelligent Systems, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-030-43658-2_3

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  • DOI: https://doi.org/10.1007/978-3-030-43658-2_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43657-5

  • Online ISBN: 978-3-030-43658-2

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