title: On optimal hierarchy of load-bearing biological materials.
abstract: Load-bearing biological materials such as shell, mineralized tendon and bone exhibit two to seven levels of structural hierarchy based on constituent materials (biominerals and proteins) of relatively poor mechanical properties. A key question that remains unanswered is what determines the number of hierarchical levels in these materials. Here we develop a quasi-self-similar hierarchical model to show that, depending on the mineral content, there exists an optimal level of structural hierarchy for maximal toughness of biocomposites. The predicted optimal levels of hierarchy and cooperative deformation across multiple structural levels are in excellent agreement with experimental observations.
authors.affiliation: Institute of High Performance Computing, A*STAR, , Singapore 138632, Singapore.
authors.forename: Zuoqi
authors.initials: Z
authors.lastname: Zhang
authors.forename: Yong-Wei
authors.initials: YW
authors.lastname: Zhang
authors.forename: Huajian
authors.initials: H
authors.lastname: Gao
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D001842:Bone and Bones / Q000737:chemistry / Q000502:physiology*; D008903:Minerals / Q000737:chemistry; D008954:Models, Biological; D013710:Tendons / Q000737:chemistry / Q000502:physiology*; D016474:Weight-Bearing
chemical_list: D008903:Minerals
references.citation: Bone. 1995 May;16(5):533-44
references.pmid: 7654469
references.citation: Phys Rev Lett. 2004 Oct 8;93(15):158101
references.pmid: 15524943
references.citation: Connect Tissue Res. 1978;6(1):11-23
references.pmid: 149646
references.citation: Clin Orthop Relat Res. 2009 Aug;467(8):1948-54
references.pmid: 19288162
references.citation: Nature. 2000 Jun 8;405(6787):681-5
references.pmid: 10864324
references.citation: Proc Natl Acad Sci U S A. 2006 Aug 15;103(33):12285-90
references.pmid: 16895989
references.citation: Proc Natl Acad Sci U S A. 2003 May 13;100(10):5597-600
references.pmid: 12732735
references.citation: Nat Mater. 2007 Apr;6(4):263-8
references.pmid: 17401419
references.citation: Science. 2008 Dec 5;322(5907):1516-20
references.pmid: 19056979
references.citation: Nano Lett. 2005 Oct;5(10):2108-11
references.pmid: 16218747
references.citation: Proc Natl Acad Sci U S A. 2006 Nov 21;103(47):17741-6
references.pmid: 17095608
references.citation: Nature. 2009 Nov 26;462(7272):442-8
references.pmid: 19940914
references.citation: Biophys J. 2000 Oct;79(4):1737-46
references.pmid: 11023882
references.citation: Med Eng Phys. 1998 Mar;20(2):92-102
references.pmid: 9679227
references.citation: Langmuir. 2010 Apr 6;26(7):4984-9
references.pmid: 20092298
references.citation: Nat Mater. 2003 Jun;2(6):413-8
references.pmid: 12764359
references.citation: Philos Trans R Soc Lond B Biol Sci. 2002 Feb 28;357(1418):191-7
references.pmid: 11911776
references.citation: Science. 2008 Feb 22;319(5866):1069-73
references.pmid: 18292337