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master's thesis
Modeliranje biofizike srčanog mišića
Zagreb: University of Zagreb, Faculty of Science, 2024. urn:nbn:hr:217:765379
Dragušica, Vinko
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

Cite this document

Dragušica, V. (2024). Modeliranje biofizike srčanog mišića (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:765379

Dragušica, Vinko. "Modeliranje biofizike srčanog mišića." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:765379

Dragušica, Vinko. "Modeliranje biofizike srčanog mišića." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:765379

Dragušica, V. (2024). 'Modeliranje biofizike srčanog mišića', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:765379

Dragušica V. Modeliranje biofizike srčanog mišića [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2024 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:765379

V. Dragušica, "Modeliranje biofizike srčanog mišića", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:217:765379

Metadata
TitleModeliranje biofizike srčanog mišića
Title (english)Modeling of cardiac muscle biophysics
AuthorVinko Dragušica
MentorAndrej Novak (mentor)
Committee memberAndrej Novak (predsjednik povjerenstva)
Committee memberMatko Glunčić (član povjerenstva)
Committee memberVedran Đerek (član povjerenstva)
Committee memberDanko Radić (član povjerenstva)
Committee memberNenad Pavin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2024-02-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U radu je predstavljen princip rada srčanog mišića, pojam elektrokardiograma i akcijskog potencijala. Matematički je izveden dvodomenski model te potom i jednodomenski model kao aproksimacija dvodomenskog. Zatim je pokazan algoritam Strangove podjele kojim se modeli mogu numerički riješiti te je izvedena varijacijska/slaba formulacija jednadžbi. Prikazani su dobiveni rezultati za pravokutnu domenu s reparametriziranim FitzHugh-Nagumo modelom, Nobleovim modelom i Beeler-Reuter modelom. Rezultati modela na domeni presjeka srca uspoređeni su s literaturom. Na jednakoj domeni modelirana je lokalna ishemija srca te su prezentirana rješenja takvog modela. Uspoređena su rješenja jednodomenskog i dvodomenskog modela i pokazano je rješenje dvodomenskog modela na trodimenzionalnoj domeni lijeve klijetke.
Abstract (english)
This thesis presents the physiology of the heart muscle, the concept of the electrocardiogram, and action potential. The bidomain model and subsequently the monodomain model, as an approximation of the bidomain model, are mathematically derived. Then, the Strang operator splitting scheme, which is used to solve the models numerically, is shown, and the variational/weak form of the equations is derived. The results obtained for the rectangular domain with the reparameterized FitzHugh-Nagumo model, the Noble model, and the Beeler-Reuter model are presented. The results of the model on the heart cross-section domain are compared with the literature. Local ischemia was added to the same domain, and solutions for such a model are presented. The solutions of the monodomain and bidomain models are compared, and the solutions of the bidomain model on the three-dimensional domain of the left ventricle are shown.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:765379
Study programmeTitle: The University Integrated Undergraduate and Graduate Programme in Physics; Research Physics; specializations in: Research Physics
Course: Research Physics
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: sveučilišni magistar fizike (sveučilišni magistar fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Embargo expiration date: 2024-07-23
Terms of useLicence In copyright icon
Created on2024-04-05 12:17:34