Fibrillar organization in tendons: A pattern revealed by percolation characteristics of the respective geometric network

Network Biology. 2014;4(2):31-46


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Journal Title: Network Biology

ISSN: 2220-8879 (Print)

Publisher: International Academy of Ecology and Environmental Sciences

LCC Subject Category: Science: Biology (General)

Country of publisher: Hong Kong

Language of fulltext: English

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Daniel Andres Dos Santos (Instituto de Biodiversidad Neotropical, Facultad de Ciencias Naturales e Instituto Miguel Lillo, Universidad Nacional de Tucuman - CONICET. Horco Molle S/N, Yerba Buena, Tucuman, Argentina)

Maria Laura Ponssa (Instituto de Herpetologia, Fundacion Miguel Lillo-CONICET. Miguel Lillo 251, San Miguel de Tucuman, Tucuman, Argentina)

Maria Jose Tulli, et al. (Instituto de Herpetologia, Fundacion Miguel Lillo-CONICET. Miguel Lillo 251, San Miguel de Tucuman, Tucuman, Argentina)


Double blind peer review

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Time From Submission to Publication: 5 weeks


Abstract | Full Text

Since the tendon is composed by collagen fibrils of various sizes connected between them through molecular cross-links, it sounds logical to model it via a heterogeneous network of fibrils. Using cross sectional images, that network is operatively inferred from the respective Gabriel graph of the fibril mass centers. We focus on network percolation characteristics under an ordered activation of fibrils (progressive recruitment going from the smallest to the largest fibril). Analyses of percolation were carried out on a repository of images of digital flexor tendons obtained from samples of lizards and frogs. Observed percolation thresholds were compared against values derived from hypothetical scenarios of random activation of nodes. Strikingly, we found a significant delay for the occurrence of percolation in actual data. We interpret this finding as the consequence of some non-random packing of fibrillar units into a size-constrained geometric pattern. We erect an ideal geometric model of balanced interspersion of polymorphic units that accounts for the delayed percolating instance. We also address the circumstance of being percolation curves mirrored by the empirical curves of stress-strain obtained from the same studied tendons. By virtue of this isomorphism, we hypothesize that the inflection points of both curves are different quantitative manifestations of a common transitional process during mechanical load transference.