Huxley-type muscle models offer a physiologically grounded description of cardiac contraction but remain computationally prohibitive for large-scale, multi-scale simulations. This article reviews surrogate modeling strategies that alleviate these costs for ventricular biomechanics, with emphasis on data-driven (RNN/TCN/GRU) and physics-informed (PI...

By Bogdan Milićević, Miloš Ivanović, Boban Stojanović, Miljan Milošević, Miloš Kojić, Nenad Filipović

Cardiovascular diseases are among the leading causes of mortality worldwide, necessitating advanced computational modeling to study their underlying mechanisms and explore potential treatments. In this paper, we present a multiphysics computational model that integrates cardiac mechanics, electrophysiology, and mass transport, implemented within th...

By Miljan Milošević, Bogdan Milićević, Vladimir Simić, Nenad Filipović, Miloš Kojić

Solvent removal by diffusion from a polymer solution occurs in various technological processes, such dry spinning of synthetic silk-like fibers. There, it is important to determine the diffusion coefficient which is dependent on the solvent concentration, assuming the validity of Fick’s law. In order to prove the internal diffusion within the...

By Nikola Kojić, Aleksandar Kojić, Miloš Kojić

The interaction between the Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH) is crucial in multiphysics simulations of granular–structure systems, impacts, and material behavior. This paper presents a penalty-based contact algorithm with Coulomb friction for FEM–SPH coupling. The method accounts for static and dynam...

By Marko Topalović, Miloš Ivanović, Snežana Vulović, Aleksandar Nikolić, Miroslav Živković

The paper presents various examples of the application of the PAK software and its modules for thermal, filtration, and stress–strain analysis of different complex engineering structures such as gravity dams, arch dams, embankment dams, tunnels, and mines. Examples of research, studies, and projects in which PAK has been applied to assess the...

By Dejan Divac, Slobodan Radovanović, Maja Pavić, Nikola Milivojević, Vladimir Milivojević, Miroslav Živković, Dragan Rakić, Snežana Vulović

Two-equation turbulent models are widely used in finite element analysis of fluid flow. The PAK program package was upgraded from the classical laminar flow to the turbulent k-omega model. The turbulence model was validated using the case of fluid flow in a backward-facing step channel. The analysis results show good agreement with experimental dat...

By Aleksandar Nikolić, Miroslav Živković, Nenad Filipović, Marko Topalović

A water supply system with radial wells (RWs) extends usually over tens of kilometers horizontally and tens of meters deep within the soil. Water flows through the soil and then through several lateral screens to the vertical shaft. Lateral screens represent perforated pipes with lengths in meters and diameters measured in centimeters. A common app...

By Vladimir Ranković, Nenad Filipović, Boban Stojanović, Velibor Isailović, Miloš Kojić

This paper introduces the CAD user interface software developed to support example-driven simulations using the PAK finite element code. Built upon years of research and development by the authors, CAD represents a custom-built platform for three-dimensional model setup and result visualization, tightly integrated with the PAK solver. It facilitate...

By Miljan Milošević, Vladimir Simić, Bogdan Milićević, Velibor Isailović, Vladimir Ranković, Miloš Ivanović, Žarko Milošević, Dalibor Nikolić, Danko Milašinović, Arso Vukićević, Lazar Otašević, Mileta Stojanović, Nenad Filipović, Miloš Kojić, Boban Stojanović

Material transport by diffusion is present in nature, as well as in living organisms as a vital process. The basic and generally used is a phenomenologically established law, named Fick’s law, It states that the material flux is proportional to the concentration gradient and that the material flows from the higher to lower concentration. Howe...

By Miloš Kojić, Miljan Milošević, Alessandro Grattoni, Mauro Ferrari

Metastasis involves the dissemination of circulating tumor cells (CTCs) from the primary tumor, their survival in the bloodstream, and eventual colonization of distant organs. Adhesive interactions with platelets, leukocytes, and endothelial cells are critical to CTC survival and extravasation. Platelet adhesion enhances CTC viability and promotes ...

By Vladimir Simić, Miljan Milošević, Aleksandar Nikolić, Shao Ning, Xuewu Liu, Fransisca Leonard, Miloš Kojić