On the generality of the finite element modeling physical fields in biological systems by the multiscale smeared concept (Kojic transport model)
Milos Kojic,
Miljan Milosevic,
Vladimir Simic,
Bogdan Milicevic,
Rossana Terracciano,
Carly S. Filgueira
Affiliations
Milos Kojic
Houston Methodist Research Institute, The Department of Nanomedicine, 6670 Bertner Ave., R7 117, Houston, TX, 77030, USA; Bioengineering Research and Development Center BioIRC Kragujevac, Prvoslava Stojanovica 6, 3400, Kragujevac, Serbia; Serbian Academy of Sciences and Arts, Knez Mihailova 35, 11000, Belgrade, Serbia; Corresponding author. Houston Methodist Research Institute, The Department of Nanomedicine, 6670 Bertner Ave., R7 117, Houston, TX, 77030, USA.
Miljan Milosevic
Bioengineering Research and Development Center BioIRC Kragujevac, Prvoslava Stojanovica 6, 3400, Kragujevac, Serbia; Institute of Information Technologies, University of Kragujevac, Department of Technical- Technological Sciences, Jovana Cvijica bb, 34000, Kragujevac, Serbia; Belgrade Metropolitan University, Tadeusa Koscuska 63, 11000, Belgrade, Serbia
Vladimir Simic
Bioengineering Research and Development Center BioIRC Kragujevac, Prvoslava Stojanovica 6, 3400, Kragujevac, Serbia; Institute of Information Technologies, University of Kragujevac, Department of Technical- Technological Sciences, Jovana Cvijica bb, 34000, Kragujevac, Serbia
Bogdan Milicevic
Bioengineering Research and Development Center BioIRC Kragujevac, Prvoslava Stojanovica 6, 3400, Kragujevac, Serbia; Faculty of Engineering, University of Kragujevac, Kragujevac, 34000, Serbia
Rossana Terracciano
Houston Methodist Research Institute, The Department of Nanomedicine, 6670 Bertner Ave., R7 117, Houston, TX, 77030, USA; Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy
Carly S. Filgueira
Houston Methodist Research Institute, The Department of Nanomedicine, 6670 Bertner Ave., R7 117, Houston, TX, 77030, USA; Department of Cardiovascular Surgery, Houston Methodist Research Institute, Houston, TX, 77030, USA
The biomechanical and biochemical processes in the biological systems of living organisms are extremely complex. Advances in understanding these processes are mainly achieved by laboratory and clinical investigations, but in recent decades they are supported by computational modeling. Besides enormous efforts and achievements in this modeling, there still is a need for new methods that can be used in everyday research and medical practice. In this report, we give a view of the generality of the finite element methodology introduced by the first author and supported by his collaborators. It is based on the multiscale smeared physical fields, termed as Kojic Transport Model (KTM), published in several journal papers and summarized in a recent book (Kojic et al., 2022) [1]. We review relevant literature to demonstrate the distinctions and advantages of our methodology and indicate possible further applications. We refer to our published results by a selection of a few examples which include modeling of partitioning, blood flow, molecular transport within the pancreas, multiscale-multiphysics model of coupling electrical field and ion concentration, and a model of convective-diffusive transport within the lung parenchyma. Two new examples include a model of convective-diffusive transport within a growing tumor, and drug release from nanofibers with fiber degradation.
