scholarly journals Dual Minimal Curves

2006 ◽  
Vol 11 (1) ◽  
pp. 19-23
Author(s):  
Ali Çalıskan
Keyword(s):  
Minimal Curves

An algorithm for computing minimal curves

1997 ◽  
Vol 68 (4) ◽  
pp. 285-296 ◽  
Author(s):  
Silvia Guarrera ◽  
Alessandro Logar ◽  
Emilia Mezzetti
Keyword(s):  
Minimal Curves

scholarly journals Variational model of scoliosis

2018 ◽  
Vol 45 (2) ◽  
pp. 167-175
Author(s):  
Igor Popov ◽  
Nikita Lisitsa ◽  
Yuri Baloshin ◽  
Mikhail Dudin ◽  
Stepan Bober
Keyword(s):  
Mathematical Model ◽  
Variational Principles ◽  
Three Dimensional ◽  
Energy Functional ◽  
Variational Model ◽  
Spinal Diseases ◽  
Clear Understanding ◽  
History Of ◽  
Minimal Curves ◽  
Initiating Factors

Scoliosis, being one of the most widespread spinal 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 the three-dimensional deformation of the 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. We investigate the numerical properties of the first stage of scoliosis, which is shown to have the highest influence on the development of the disease.

On the Rao modules of minimal curves in $${\mathbb{P}^N}$$

2009 ◽  
Vol 58 (2) ◽  
pp. 249-262
Author(s):  
Roberta Di Gennaro
Keyword(s):  
Minimal Curves

Minimal curves in six dimensions

1987 ◽  
Vol 4 (4) ◽  
pp. 869-892 ◽  
Author(s):  
L P Hughston ◽  
W T Shaw
Keyword(s):  
Six Dimensions ◽  
Minimal Curves
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