Fractal Operators and Fractional-Order Mechanics of Bone
In recent years, the concept of physical fractal space has been abstracted from muscle/ligament fibers, nerve fibers and blood flows. In the physical fractal space, bio-fractal mechanics may be set up. Surprisingly, the concepts and methods developed in the above bio-fractal mechanics are of univers...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-08-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/9/642 |
| _version_ | 1797580034279473152 |
|---|---|
| author | Zhimo Jian Jianqiao Guo Gang Peng Yajun Yin |
| author_facet | Zhimo Jian Jianqiao Guo Gang Peng Yajun Yin |
| author_sort | Zhimo Jian |
| collection | DOAJ |
| description | In recent years, the concept of physical fractal space has been abstracted from muscle/ligament fibers, nerve fibers and blood flows. In the physical fractal space, bio-fractal mechanics may be set up. Surprisingly, the concepts and methods developed in the above bio-fractal mechanics are of universalities, i.e., the physical fractal spaces, fractal operators and fractional-order mechanics universally exist in various biological systems such as bones. This paper will focus on the bones in which the physical fractal space is abstracted, the fractal operators are derived and the fractional-order mechanics is established. |
| first_indexed | 2024-03-10T22:44:31Z |
| format | Article |
| id | doaj.art-9ca4bd6d25404900ad2491022aac184c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T22:44:31Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-9ca4bd6d25404900ad2491022aac184c2023-11-19T10:48:10ZengMDPI AGFractal and Fractional2504-31102023-08-017964210.3390/fractalfract7090642Fractal Operators and Fractional-Order Mechanics of BoneZhimo Jian0Jianqiao Guo1Gang Peng2Yajun Yin3Department of Engineering Mechanics, Tsinghua University, Beijing 100084, ChinaMOE Key Laboratory of Dynamics and Control of Flight Vehicle, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaDepartment of Engineering Mechanics, Tsinghua University, Beijing 100084, ChinaDepartment of Engineering Mechanics, Tsinghua University, Beijing 100084, ChinaIn recent years, the concept of physical fractal space has been abstracted from muscle/ligament fibers, nerve fibers and blood flows. In the physical fractal space, bio-fractal mechanics may be set up. Surprisingly, the concepts and methods developed in the above bio-fractal mechanics are of universalities, i.e., the physical fractal spaces, fractal operators and fractional-order mechanics universally exist in various biological systems such as bones. This paper will focus on the bones in which the physical fractal space is abstracted, the fractal operators are derived and the fractional-order mechanics is established.https://www.mdpi.com/2504-3110/7/9/642bonephysical fractal spacefractal operatorsfractional-order mechanics |
| spellingShingle | Zhimo Jian Jianqiao Guo Gang Peng Yajun Yin Fractal Operators and Fractional-Order Mechanics of Bone Fractal and Fractional bone physical fractal space fractal operators fractional-order mechanics |
| title | Fractal Operators and Fractional-Order Mechanics of Bone |
| title_full | Fractal Operators and Fractional-Order Mechanics of Bone |
| title_fullStr | Fractal Operators and Fractional-Order Mechanics of Bone |
| title_full_unstemmed | Fractal Operators and Fractional-Order Mechanics of Bone |
| title_short | Fractal Operators and Fractional-Order Mechanics of Bone |
| title_sort | fractal operators and fractional order mechanics of bone |
| topic | bone physical fractal space fractal operators fractional-order mechanics |
| url | https://www.mdpi.com/2504-3110/7/9/642 |
| work_keys_str_mv | AT zhimojian fractaloperatorsandfractionalordermechanicsofbone AT jianqiaoguo fractaloperatorsandfractionalordermechanicsofbone AT gangpeng fractaloperatorsandfractionalordermechanicsofbone AT yajunyin fractaloperatorsandfractionalordermechanicsofbone |