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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Variational model of scoliosis
Igor Popova, Nikita Lisitsaa, Yuri Baloshina, Mikhail Dudinb, Stepan Boberb a ITMO University, St. Petersburg, Russia
b Center for Rehabilitation for Children's Orthopaedic Diseases, St. Petersburg, Russia
Аннотация:
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.
Ключевые слова:
spine, model, variational method.
Поступила в редакцию: 18.08.2017 Исправленный вариант: 02.10.2017
Образец цитирования:
Igor Popov, Nikita Lisitsa, Yuri Baloshin, Mikhail Dudin, Stepan Bober, “Variational model of scoliosis”, Theor. Appl. Mech., 45:2 (2018), 167–175
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam46 https://www.mathnet.ru/rus/tam/v45/i2/p167
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Страница аннотации: | 137 | PDF полного текста: | 45 | Список литературы: | 11 |
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