Abstract
Aim of this chapter is analytical representation of one wide class of geometric figures (lines, surfaces and bodies) and their complicated displacements. The accurate estimation of physical characteristics (such as volume, surface area, length, or other specific parameters) relevant to human organs is of fundamental importance in medicine. One central idea of this article is, in this respect, to provide a general methodology for the evaluation, as a function of time, of the volume and center of gravity featured by moving of one class of bodies used of describe different human organs.
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Acknowledgements
This article compiles results from a long standing cooperation and publications of the first author and the co-authors. The results were discussed for a long time and in detail with many colleagues in different countries and institutions. The authors are deeply grateful to Prof. A. Di Nola and D. Gordeziani for a useful discussion of the questions considered in this article. With special gratitude, we want to mark the valuable assistance of Albert Kiefer on graphics. Some parts of the article were written and conceived during visits of Dr. Ilia Tavkhelidze in Rome, in Salerno, in Antwerp and Louvain. W want to thank all the colleagues who participated in debates. Authors are grateful to Ph.D. Student of St. Andrew the First-Called Georgian University of the Patriarchate of Georgia Levan Roinishvili for creating the convenient program for demonstration of the obtained mathematical results in Matlab. Part of the results were obtained with the help of financial support of Shota Rustaveli National Science Foundation (Grant SRNSF/FR/358/5-109/14).
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Tavkhelidze, I., Caratelli, D., Gielis, J., Ricci, P.E., Rogava, M., Transirico, M. (2017). On a Geometric Model of Bodies with “Complex” Configuration and Some Movements. In: Gielis, J., Ricci , P., Tavkhelidze, I. (eds) Modeling in Mathematics . Atlantis Transactions in Geometry, vol 2. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-261-8_10
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DOI: https://doi.org/10.2991/978-94-6239-261-8_10
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