A generalization of the smeared concept for field problems, published in recent papers of the author and his collaborators, is presented in the paper. A composite smeared finite element CSFE is formulated. This generalization can serve as a theoretical background for further applications. A selected numerical example, related to convective-diffusive mass transport within a cancerous tissue, illustrates efficiency and accuracy of the smeared models. Further, a smeared methodology is extended to mechanical problems. A theoretical background is given in detail, with introducing a composite smeared finite element for mechanics CSFEM, which can further be tested and modified. Finally, a consistent derivation is presented for the continuum constitutive tensor corresponding to a fibrous structure.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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(2024)
An Insight into Perfusion Anisotropy within Solid Murine Lung Cancer Tumors
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M. Kojic, M. Milosevic, V. Simic, V. Geroski, A. Ziemys, N. Filipovic, M. Ferrari
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Learning and Analytics in Intelligent Systems, 11()
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Learning and Analytics in Intelligent Systems, 11()
10.1007/978-3-030-43658-2_4
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(2023)
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, ()
10.1016/B978-0-323-88472-3.00006-2
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(2021)
Attenuated Microcirculation in Small Metastatic Tumors in Murine Liver
Pharmaceutics, 13(5)
10.3390/pharmaceutics13050703
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(2024)
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Heliyon, 10(5)
10.1016/j.heliyon.2024.e26354
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(2024)
In silico and in vitro biological evaluation: distribution of Ru(III) Schiff base complexes through the pancreatic 3D model and immersed blood vessel network
Journal of Coordination Chemistry, 77(7-8)
10.1080/00958972.2024.2303736
Žiko Milanović, Marko Antonijević, Edina Avdović, Vladimir Simić, Miljan Milošević, Zana Dolićanin, Miloš Kojić, Zoran Marković
(2024)
In silico evaluation of pharmacokinetic parameters, delivery, distribution and anticoagulative effects of new 4,7-dihydroxycoumarin derivative
Journal of Biomolecular Structure and Dynamics, 42(16)
10.1080/07391102.2023.2245071
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(2020)
Computational Bioengineering and Bioinformatics
Learning and Analytics in Intelligent Systems, 11()
10.1007/978-3-030-43658-2_3
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(2019)
Smeared Multiscale Finite Element Models for Mass Transport and Electrophysiology Coupled to Muscle Mechanics
Frontiers in Bioengineering and Biotechnology, 7()
10.3389/fbioe.2019.00381
Miloš Kojić, Miljan Milošević, Arturas Ziemys
(2023)
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, ()
10.1016/B978-0-323-88472-3.00002-5
Miljan Milosevic, Dusica B. Stojanovic, Vladimir Simic, Mirjana Grkovic, Milos Bjelovic, Petar S. Uskokovic, Milos Kojic
(2020)
Preparation and modeling of three‐layered PCL/PLGA/PCL fibrous scaffolds for prolonged drug release
Scientific Reports, 10(1)
10.1038/s41598-020-68117-9
Miloš Kojić, Miljan Milošević, Arturas Ziemys
(2023)
Computational Models in Biomedical Engineering
, ()
10.1016/B978-0-323-88472-3.00008-6
Kristina Milisavljević, Žiko Milanović, Jovana Matić, Marko Antonijević, Vladimir Simić, Miljan Milošević, Marijana Kosanić, Goran N. Kaluđerović
(2025)
(Alkyl-ω-ol)triphenyltin(IV)-Loaded Mesoporous Silica as Biocompatible Potential Neuroprotectors: Evaluation of Inhibitory Activity Against Enzymes Associated with the Pathophysiology of Alzheimer’s Disease
Nanomaterials, 15(12)
10.3390/nano15120914
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(2025)
Exploring (alkyl-ω-ol)triphenyltin(IV) compounds as renin inhibitors: Structural insights, binding dynamics, and pharmacokinetic profiling for antihypertensive therapy
Inorganic Chemistry Communications, 181()
10.1016/j.inoche.2025.115329The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.