• Infinitesimal bending of DNA helices 

      Maksimović, Miroslav; Velimirović, Ljubica; Najdanović, Marija (Scientific and Technical Research Council of Turkey - TUBITAK^(Turkiye Bilimsel ve Teknik Arastirma Kurumu), 2021-01-21)
      The mathematics of DNA molecules is often studied as a double helix model. This paper focuses on the modelling of infinitesimal bending of DNA helices. The paper checks the flexibility of DNA molecule, i.e. the flexibility ...
    • Knot Bending 

      Najdanović, Marija; Velimirović, Ljubica; Rančić, Svetozar
      In this paper we point out the geometric aspect of knots. By the term knot we mean a closed self-avoiding curve in a 3-dimensional Euclidean space. We consider infinitesimal bending of knots and examine the behavior of ...
    • Knot Energy 

      Velimirović, Ljubica; Najdanović, Marija; Rančić, Svetozar (Kyung Hee University , RIRCM, OCAMI & BK21PLUS, 2019-07-31)
      We discuss infinitesimal bending of curves and knots in R3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the total curvature, total ...
    • VISUALIZATION OF GEOMETRIC OBJECTS USING PROGRAM PACKAGE MATHEMATICA 

      Ljajko, Eugen; Najdanović, Marija; Maksimović, Miroslav; Kontrec, Nataša
      In geometry teaching, visualization is an indispensable method of work. Its importance is emphasized in the study of abstract theories when the human mind is not capable enough to perceive the regularities determined by ...