Application of Composite Smeared Finite Element Model in Drug Delivery Inside Organs
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We here implement the smeared field finite element methodology, formulated by the last listed author, which is presented in numerous of recent publications. This methodology enables modeling physical fields in biological systems in a simple way, which otherwise, by detailed representation of each biological constituents (capillaries, cell membranes, cell interior, etc.), would not be practical to use. Here we summarize the basic concept of the smeared modeling by describing briefly formulation of a composite smeared finite element (CSFE). Besides the standard FE representation of continuum fields of molecular transport, 1D transport is included in a continuum form using the appropriate transport tensors. Physical fields are coupled by the connectivity elements at each node, representing transport properties of the walls separating the domains. In this paper, methodology is applied to determine concentration field within liver of a mouse, generated from images, containing a tumor. Also, evolution of drug concentration within tumor is presented, which is important for improvement of cancer therapy.
The authors acknowledge support from the City of Kragujevac, Serbia.
This work 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.
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