ArticleJournal of the Serbian Society for Computational Mechanics2017
Extension of the composite smeared finite element (CSFE) to include lymphatic system in modeling mass transport in capillary systems and biological tissue.
Article in Journal of the Serbian Society for Computational Mechanics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed, 26 citations in OpenAlex.
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- COMPUTATIONAL MODELING OF DRUG TRANSPORT AND PERFUSION WITHIN COMPLEX BIOLOGICAL SYSTEMS AND GROWING TUMORS.Journal of the Serbian Society for Computational Mechanics · 2025Article
- An Insight into Perfusion Anisotropy within Solid Murine Lung Cancer Tumors.Pharmaceutics · 2024Article
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- Drug delivery: Experiments, mathematical modelling and machine learning.Computers in biology and medicine · 2020Article
- A modeling platform for the lymphatic system.Journal of theoretical biology · 2020Article
- Organotropic drug delivery: Synthetic nanoparticles and extracellular vesicles.Biomedical microdevices · 2019Review
- Coupling tumor growth and bio distribution models.Biomedical microdevices · 2019Article
- Smeared Multiscale Finite Element Models for Mass Transport and Electrophysiology Coupled to Muscle Mechanics.Frontiers in bioengineering and biotechnology · 2019Article
- Multiscale smeared finite element model for mass transport in biological tissue: From blood vessels to cells and cellular organelles.Computers in biology and medicine · 2018Article
- Computational analysis of drug transport in tumor microenvironment as a critical compartment for nanotherapeutic pharmacokinetics.Drug delivery · 2016Article
- Liposomal doxorubicin extravasation controlled by phenotype-specific transport properties of tumor microenvironment and vascular barrier.Journal of controlled release : official journal of the Controlled Release Society · 2015Article
- Capillary-wall collagen as a biophysical marker of nanotherapeutic permeability into the tumor microenvironment.Cancer research · 2014Article
- Interfacial effects on nanoconfined diffusive mass transport regimes.Physical review letters · 2012Article
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Authors and funding
7 authors at 5 institutions in 2 countries.
Funding
Abstract
We have recently introduced a composite smeared finite element (CSFE) to model gradient-driven mass transport in biological tissue. The transport from capillary system is smeared in a way to transform 1D transport to a continuum, while the tissue is considered as a continuum. Coupling between the smeared pressure and concentration field is achieved through 1D connectivity elements assigned at each FE node. Here we extend our smeared model to include the lymphatic system. The lymphatic vessels are treated in a way analogous to the capillaries, by introducing the corresponding Darcy and diffusion tensors. New connectivity elements are added. In the numerical examples we demonstrate accuracy of the smeared model and the effects of the lymph on the pressure and concentration within extracellular space are evaluated, assuming that there is no transport to the cell space.
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