title: Dynamics of polymer molecules with sacrificial bond and hidden length systems: towards a physically-based mesoscopic constitutive law.
abstract: We investigate the entropic force-elongation behavior of a polymer chain in the presence of the sacrificial bond and hidden length (SBHL) system observed experimentally in many biomaterials. We show that in most cases the SBHL system leads to a significant increase in toughness. However, the presence of a large number of bonds or relatively strong bonds in the SBHL system can reduce the net gain in toughness. We also incorporate the polymer model into a network of polymers with random properties (e.g., contour length, number and strength of sacrificial bonds, length of hidden loops). This allows us to derive a physically-based mesoscopic force-displacement law that governs the collective behavior.
authors.affiliation: Department of Physics, University of California Santa Barbara, Santa Barbara, California, United States of America. elbanna2@uiuc.edu
authors.forename: Ahmed E
authors.initials: AE
authors.lastname: Elbanna
authors.forename: Jean M
authors.initials: JM
authors.lastname: Carlson
mesh_terms: D000465:Algorithms; D001696:Biomechanical Phenomena; D003198:Computer Simulation; D018625:Microscopy, Atomic Force; D008962:Models, Theoretical; D011108:Polymers / Q000737:chemistry*
chemical_list: D011108:Polymers
references.citation: J Microsc. 2003 Dec;212(Pt 3):292-9
references.pmid: 14629555
references.citation: Biophys J. 2006 Feb 15;90(4):1411-8
references.pmid: 16326907
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031131
references.pmid: 19905086
references.citation: Nat Mater. 2008 Aug;7(8):672-7
references.pmid: 18587403
references.citation: Biophys J. 1997 Apr;72(4):1541-55
references.pmid: 9083660
references.citation: Nature. 2001 Dec 13;414(6865):773-6
references.pmid: 11742405
references.citation: Nat Mater. 2003 Apr;2(4):278-83
references.pmid: 12690403
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031133
references.pmid: 19905088
references.citation: Biophys J. 1999 Jan;76(1 Pt 1):409-13
references.pmid: 9876152
references.citation: Biophys J. 2007 Feb 15;92(4):L36-8
references.pmid: 17158577
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031132
references.pmid: 19905087
references.citation: Nanotechnology. 2008 Sep 24;19(38):384008
references.pmid: 18843380
references.citation: Bone. 2004 Jul;35(1):4-10
references.pmid: 15207735
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jun;69(6 Pt 1):061611
references.pmid: 15244589
references.citation: Biophys J. 1997 Mar;72(3):1335-46
references.pmid: 9138579
references.citation: Nat Mater. 2005 Aug;4(8):612-6
references.pmid: 16025123
references.citation: J Biomech. 2011 Jul 28;44(11):2118-22
references.pmid: 21663916
references.citation: Science. 1994 Sep 9;265(5178):1599-600
references.pmid: 8079175
references.citation: Protist. 2002 Mar;153(1):25-38
references.pmid: 12022272
references.citation: Phys Rev Lett. 1989 May 29;62(22):2632-2635
references.pmid: 10040041
references.citation: Bone. 2004 Dec;35(6):1240-6
references.pmid: 15589205
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 1):061308
references.pmid: 23005087
references.citation: J Musculoskelet Neuronal Interact. 2005 Oct-Dec;5(4):313-5
references.pmid: 16340118
references.citation: Biophys J. 2005 Dec;89(6):4252-60
references.pmid: 16169972
references.citation: Am J Med. 2006 Apr;119(4 Suppl 1):S3-S11
references.pmid: 16563939