Chirality simultaneously exists at different length scales in many biological materials, e.g., climbing tendrils and bacterial flagella. It can transfer from lower structural levels to higher structural levels, which is tightly associated with the growth and assembly of biological materials. In this paper, a continuum mechanics model is presented for understanding the bottom–up transfer of chirality in fibrous biological materials. Basic physical mechanisms underlying the chirality transfer in biological world are revealed. It is demonstrated that the chirality of constituent elements at the microscale can induce the twisting of higher-level structures, which may further transfer into the macroscopic morphology in different manners, rendering the formation of hierarchically chiral structures in tissues or organs. The bottom–up transfer mechanism of chirality may provide a limit to the macroscopic size of biological materials through the accumulative contribution of twisting.
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October 2016
Research-Article
Mechanics of Fibrous Biological Materials With Hierarchical Chirality
Huijuan Zhu,
Huijuan Zhu
Department of Mechanics,
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: zh_huijuan@foxmail.com
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: zh_huijuan@foxmail.com
Search for other works by this author on:
Takahiro Shimada,
Takahiro Shimada
Department of Mechanical
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: shimada@me.kyoto-u.ac.jp
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: shimada@me.kyoto-u.ac.jp
Search for other works by this author on:
Jianshan Wang,
Jianshan Wang
Department of Mechanics,
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: wangjs@tju.edu.cn
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: wangjs@tju.edu.cn
Search for other works by this author on:
Takayuki Kitamura,
Takayuki Kitamura
Department of Mechanical
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: kitamura@kues.kyoto-u.ac.jp
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: kitamura@kues.kyoto-u.ac.jp
Search for other works by this author on:
Xiqiao Feng
Xiqiao Feng
CNMM,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China
e-mail: fengxq@tsinghua.edu.cn
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China
e-mail: fengxq@tsinghua.edu.cn
Search for other works by this author on:
Huijuan Zhu
Department of Mechanics,
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: zh_huijuan@foxmail.com
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: zh_huijuan@foxmail.com
Takahiro Shimada
Department of Mechanical
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: shimada@me.kyoto-u.ac.jp
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: shimada@me.kyoto-u.ac.jp
Jianshan Wang
Department of Mechanics,
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: wangjs@tju.edu.cn
Tianjin University,
Yaguan Road No.135,
Tianjin 300054, China
e-mail: wangjs@tju.edu.cn
Takayuki Kitamura
Department of Mechanical
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: kitamura@kues.kyoto-u.ac.jp
Engineering and Science,
Kyoto University,
Nishikyo-Ku,
Kyoto 615-8540, Japan
e-mail: kitamura@kues.kyoto-u.ac.jp
Xiqiao Feng
CNMM,
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China
e-mail: fengxq@tsinghua.edu.cn
Department of Engineering Mechanics,
Tsinghua University,
Beijing 100084, China
e-mail: fengxq@tsinghua.edu.cn
1Corresponding author.
Manuscript received February 27, 2016; final manuscript received June 25, 2016; published online August 18, 2016. Assoc. Editor: Kyung-Suk Kim.
J. Appl. Mech. Oct 2016, 83(10): 101010 (7 pages)
Published Online: August 18, 2016
Article history
Received:
February 27, 2016
Revised:
June 25, 2016
Citation
Zhu, H., Shimada, T., Wang, J., Kitamura, T., and Feng, X. (August 18, 2016). "Mechanics of Fibrous Biological Materials With Hierarchical Chirality." ASME. J. Appl. Mech. October 2016; 83(10): 101010. https://doi.org/10.1115/1.4034225
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