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dc.contributor.authorLi, L
dc.contributor.authorWu, J
dc.date.accessioned2019-03-04T08:03:35Z
dc.date.issued2019-03-01
dc.identifier.issn0307-904X
dc.identifier.issn1872-8480
dc.identifier.urihttp://hdl.handle.net/10026.1/13387
dc.descriptionPublisher’s embargo period: Embargo set on 04.03.2019 by SR (TIS).
dc.description.abstract

Axons with staggered microtubules cross-linked by tau protein possess a remarkable mechanical balance of high specific stiffness and toughness. Owing to their viscoelastic nature, axons exhibit stress rate-dependent mechanical behavior, which is relevant to their selective vulnerability to damage in traumatic brain injury. A Kelvin–Voigt viscoelastic shear lag model is developed to elucidate the mechanical responses of axons under transient tensile force. Analytical closed-form expressions are derived to characterize the relative sliding, stress transfer and failure mechanism between microtubule and tau protein while the axon is stretched transiently. The results from the theoretical solutions elucidate how the MT-tau interface length and stress rate affect the mechanical responses of axon. It is found that axonal failure mechanism may be different under different loading conditions. Long microtubules are more vulnerable to rupture at high stress rate, yet short microtubules are likely to detach from microtubule bundles under large deformations. In the view of multi-level failure of axon, it is illustrated how the vulnerable axons protect themselves from overall damage, and how the axon can simultaneously achieve an outstanding mechanical balance of high specific stiffness and toughness.

dc.format.extent452-466
dc.languageen
dc.language.isoen
dc.publisherElsevier
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectStaggered composite
dc.subjectBiocomposite
dc.subjectShear lag model
dc.subjectKelvin-Voigt viscoelastic model
dc.subjectTraumatic brain injury
dc.titleMathematical modelling of microtubule-tau protein transients: insights into the superior mechanical behavior of axon
dc.typejournal-article
dc.typeArticle
plymouth.author-urlhttps://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000468259900028&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008
plymouth.volume71
plymouth.publisher-urlhttp://dx.doi.org/10.1016/j.apm.2019.02.030
plymouth.publication-statusPublished
plymouth.journalApplied Mathematical Modelling
dc.identifier.doi10.1016/j.apm.2019.02.030
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics
plymouth.organisational-group/Plymouth/REF 2021 Researchers by UoA
plymouth.organisational-group/Plymouth/REF 2021 Researchers by UoA/UoA12 Engineering
plymouth.organisational-group/Plymouth/Research Groups
plymouth.organisational-group/Plymouth/Research Groups/Marine Institute
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
dcterms.dateAccepted2019-02-25
dc.rights.embargodate2020-2-29
dc.identifier.eissn1872-8480
dc.rights.embargoperiodNot known
rioxxterms.versionofrecord10.1016/j.apm.2019.02.030
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
rioxxterms.licenseref.startdate2019-03-01
rioxxterms.typeJournal Article/Review


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