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Mathematical modeling of stents as a net of 1D elastic curved rods


Tambača, Josip
Mathematical modeling of stents as a net of 1D elastic curved rods // Book of abstracts of 2017 Joint Mathematics Meetings
Atlanta, SAD, 2017. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Mathematical modeling of stents as a net of 1D elastic curved rods

Autori
Tambača, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of abstracts of 2017 Joint Mathematics Meetings / - , 2017, 1-1

Skup
2017 Joint Mathematics Meetings

Mjesto i datum
Atlanta, SAD, 04.-07.01. 2017

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
stent ; elastic ; net ; model

Sažetak
Stents are metallic mesh-like tubes inserted within the inner-most layer of vascular wall to prop the arteries open. As such the stents are modeled within the elasticity theory, usually three-dimensional. The struts of the mesh are thin and therefore the numerical simulations turn out to be very time and space consuming. Therefore a simple models are plead for. In this talk we will present the model based on the one-dimensional model used for stent struts. Since the stent struts are thin model gives a very good approximation of the three-dimensional model. Simple structure of the model implies very efficient numerical algorithms that can be performed in real time on a personal computer. This allows quick analysis and testing of different stent designs. Numerical and analytical analysis of the model will be presented and supported by simulations. Further, the stent model will be coupled with the two- dimensional shell equations for the model of interaction of the stent and vessel. Colaborators: S. Canic (University of Houston), L. Grubisic, M. Ljulj, B. Zugec (University of Zagreb)

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZO-910-08/16-01/00209 - Asimptotska i algebarska analiza nelinearnih problema vlastitih vrijednosti s primjenom na biomehaničke i fotoničke sustave (Grubišić, Luka, MZO ) ( POIROT)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Josip Tambača (autor)

Poveznice na cjeloviti tekst rada:

jointmathematicsmeetings.org

Citiraj ovu publikaciju:

Tambača, Josip
Mathematical modeling of stents as a net of 1D elastic curved rods // Book of abstracts of 2017 Joint Mathematics Meetings
Atlanta, SAD, 2017. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
Tambača, J. (2017) Mathematical modeling of stents as a net of 1D elastic curved rods. U: Book of abstracts of 2017 Joint Mathematics Meetings.
@article{article, author = {Tamba\v{c}a, Josip}, year = {2017}, pages = {1-1}, keywords = {stent, elastic, net, model}, title = {Mathematical modeling of stents as a net of 1D elastic curved rods}, keyword = {stent, elastic, net, model}, publisherplace = {Atlanta, SAD} }
@article{article, author = {Tamba\v{c}a, Josip}, year = {2017}, pages = {1-1}, keywords = {stent, elastic, net, model}, title = {Mathematical modeling of stents as a net of 1D elastic curved rods}, keyword = {stent, elastic, net, model}, publisherplace = {Atlanta, SAD} }




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