SMEARED CONCEPT FOR MODELING GRADIENT-DRIVEN PROBLEMS IN COMPOSITE MEDIA (KOJIC TRANSPORT MODEL, KTM) AS A BASIS FOR BROAD APPLICATIONS
 
Miloš Kojić, Miljan Milošević, Vladimir Simić, Bogdan Milićević (DOI: 10.24874/jsscm.2025.19.01.27)
 
Abstract
 
The extremely complex biological and biochemical processes are mainly treated by laboratory and clinical investigations. In recent decades, the application of computational modeling has become more important in research and applications in the medical sciences. Despite enormous efforts and achievements in this modeling, there is still a need for new efficient and reliable methods, particularly within today's hot field – Artificial Intelligence (AI). In this report, we present a brief description of a methodology that we believe offers a basis for modeling gradient-driven physical fields in composite media, such as tissue. This methodology is based on the concept of multiscale smeared physical fields, termed the Kojic Transport Model (KTM), that is published in several journal papers and summarized in a recent book (Kojic et al. 2022). Our KTM includes modeling of partitioning, blood flow, molecular transport within the tissue, a multiscale-multiphysics model of coupling electrical field and ion concentration, and a model of convective-diffusive transport within the lung parenchyma. We present here two typical examples for the illustration of our KTM application.