Naslov
A biodegradable elastic stent model

Autori
Tambača, Josip ; Žugec, Bojan

Izvornik
Mathematics and mechanics of solids (1081-2865) 24 (2019), 8; 2591-2618

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Stent ; biodegradable ; elastic ; one-dimensional model ; curved rod model

Sažetak
In this paper we derive and analyse a one- dimensional model of biodegradable elastic stents. The model is given as a nonlinear system of ordinary differential equations on a graph defined by the geometry of stent struts. The unknowns in the problem are the displacement of the middle curve of the struts, the infinitesimal rotation of the cross- sections of the stent struts, the contact couples and contact forces at struts and a function describing the degradation of the stent. The model is based on the one- dimensional model of a biodegradable elastic curved rod model by Tambača and Žugec (‘One- dimensional quasistatic model of biodegradable elastic curved rods’, Zeitschrift für Angewandte Mathematik und Physik 2015 ; 66(5): 2759–2785) and the ideas from the one- dimensional elastic stent modelling by Tambača et al. (‘Mathematical modeling of vascular stents’, SIAM Journal on Applied Mathematics 2010 ; 70(6): 1922–1952) used to formulate contact conditions at vertices. We prove the existence and uniqueness results for the model.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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