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Modelling the Dynamics of Craniofacial Growth

Jens Starke (), Jan Rübel () and Christopher Lux ()

Annals of Operations Research, 2003, vol. 119, issue 1, 75-100

Abstract: An analysis, visualization and modelling of the dynamics of craniofacial growth is presented, which is based on a Karhunen–Loève decomposition of time-discrete landmark data describing the craniofacial skeleton and its growth. This allows for a clear and suggestive depiction of craniofacial growth patterns and their dynamical behaviour, which is necessary for medical diagnosis as well as for orthodontic treatment. For modelling the dynamics, a medically motivated approach based on a dynamical system with general and individual parameters is used to obtain the underlying general growth laws. The parameters are identified by a least squares method for fitting the model to the growth data which consist of a rat calvarial data set and data of a human growth study. This allows for a quantitative description of the dynamics of size and shape changes as well as a qualitative prediction of growth processes. Copyright Kluwer Academic Publishers 2003

Keywords: craniofacial growth; modelling growth and shape dynamics; Karhunen–Loève decomposition; numerical parameter identification in dynamical systems; least squares techniques; decomposition of the optimization problem (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1022926305208

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