Geodesic
Variational model of scoliosis
Theoretical and applied mechanics, Tome 45 (2018) no. 2, p. 167

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Scoliosis, being one of the most widespread spine diseases among children, has been studied extensively throughout the history of medicine, yet there is no clear understanding of its initiating factors and the mechanogenesis of the monomorphic three-dimensional deformation due to its polyetiological nature. We present a novel mathematical model of the process of emergence of three-dimensional deformation of human spine based on variational principles. Typical scoliosis geometry is assumed to be described as minimal curves of a particular energy functional, which are shown to closely resemble actual scoliosis. The numerical properties of the first stage of scoliosis are investigated, which is shown to have the highest influence on the development of the disease.
DOI : 10.2298/TAM170818012P
Classification : 92C10, 74L15
Keywords: spine, model, variational method 
Igor Popov; Nikita Lisitsa; Yuri Baloshin; Mikhail Dudin; Stepan Bober. Variational model of scoliosis. Theoretical and applied mechanics, Tome 45 (2018) no. 2, p. 167 . doi: 10.2298/TAM170818012P
@article{10_2298_TAM170818012P,
     author = {Igor Popov and Nikita Lisitsa and Yuri Baloshin and Mikhail Dudin and Stepan Bober},
     title = {Variational model of scoliosis},
     journal = {Theoretical and applied mechanics},
     pages = {167 },
     year = {2018},
     volume = {45},
     number = {2},
     doi = {10.2298/TAM170818012P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM170818012P/}
}
TY  - JOUR
AU  - Igor Popov
AU  - Nikita Lisitsa
AU  - Yuri Baloshin
AU  - Mikhail Dudin
AU  - Stepan Bober
TI  - Variational model of scoliosis
JO  - Theoretical and applied mechanics
PY  - 2018
SP  - 167 
VL  - 45
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM170818012P/
DO  - 10.2298/TAM170818012P
LA  - en
ID  - 10_2298_TAM170818012P
ER  - 
%0 Journal Article
%A Igor Popov
%A Nikita Lisitsa
%A Yuri Baloshin
%A Mikhail Dudin
%A Stepan Bober
%T Variational model of scoliosis
%J Theoretical and applied mechanics
%D 2018
%P 167 
%V 45
%N 2
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM170818012P/
%R 10.2298/TAM170818012P
%G en
%F 10_2298_TAM170818012P

Cité par Sources :