Lapkričio 12 d. (antradienį), 14 val. Diferencialinių lygčių katedra organizuoja seminarą, kuris vyks 201 aud., VU Matematikos ir informatikos fakultete (Naugarduko g. 24).
Pranešėja: Prof. Adélia Sequeira (Department of Mathematics and CEMAT, Instituto Superior Técnico, University of Lisbon, Portugal).
Tema: Multiscale Modeling and Simulation in Hemodynamics. Applications to Clinically Relevant cases.
Pranešimo santrauka: Multiscale modeling and simulation of blood flow in the human circulatory system can give an interpretation about the interaction between complex processes that occur at different scales determined by the flow features in the large and medium size arteries at a macroscale level (diameter of 500 μm or larger), in the smaller arteries and arterioles at mesoscale (diameter of 500 μm to10 μm) and in the capillaries of the microvasculature (mean diameter of 5 μm).
At the macroscale, in addition to the complexity of the vascular geometry, blood may be considered as a Newtonian or a non-Newtonian fluid, depending on the size of the vessel, which interacts with the vessel wall, that deform under the action of blood pressure waves. Appropriate 3D fluid-structure interaction (FSI) models need to be considered to locally represent these phenomena, while reduced 1D (distributed parameter) and 0D (lumped parameter) approximations are used to account for the remaining parts of the systemic circulation (geometric multiscale).
Several challenges arise when coupling continuum macroscale models of different geometric scales or with atomistic meso- and microscale models. The most relevant are the design of efficient and robust interface conditions and the accuracy of the results obtained from the interaction between the local smaller scale resolutions with the global ones.
The main goal of this talk is to present an overview of some approaches in multiscale modeling and simulations of blood flow problems. Applications to image-based patient-specific clinical cases will also be presented, including hemodynamics of cerebral aneurysms and the inflammatory processes of atherosclerosis.
Kviečiame dalyvauti!