Minimal twist accretive growth with spatial curve evolution

TUĞ G.

Mathematical Methods in the Applied Sciences, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7720
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: computer-aided design, frame fields in differential topology, vector fields
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this work, we consider the Rotation Minimizing frame attached to a spatial curve to explain the kinematics of the accretive growth. Choosing this frame provides minimal twist along the cell tracks and makes the angular velocity of the local basis minimal. By this method, we obtain more suitable models of some biological beings. Also, we use the quaternions in E3 to model the kinematics of the accretive growth in a practical way. Moreover, we give the relation between the proposed models.