A Mechanical Model for Collagen Fibril Load Sharing in Peripheral Nerve of Diabetic and Nondiabetic Rats

[+] Author and Article Information
B. E. Layton

Department of Biomedical Engineering, The University of Michigan, Ann Arbor, MI 48109-2125  

A. M. Sastry

Department of Mechanical Engineering, and Department of Biomedical Engineering, The University of Michigan, Ann Arbor, MI 48109-2125

J Biomech Eng 126(6), 803-814 (Feb 04, 2005) (12 pages) doi:10.1115/1.1824118 History: Online February 04, 2005
Copyright © 2004 by ASME
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Rat sciatic nerve anatomy, including endoneurium, perineurium, and epineurium. This single-fascicled nerve is often used as a model for a human peripheral nerve, which typically has several perineuria within a single epineurium.
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Transperineurial view of peripheral nerve, showing relative locations of cells, and extracellular matrix. Elliptical sections in the epineurium are oblique sections through collagen fibrils.
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Experiments, and models designed to determine and understand the role of mechanical properties of the peripheral nerve in the permanence of diabetic neuropathy. Bold boxes denote physical properties strongly associated with both experiments and models. Dashed lines denote the possible relationships not investigated in the present model, but likely to affect the properties studied.
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Comparative images of fibrillar epineurial collagens of healthy and diabetic peripheral nerve 7 revealing larger fibril diameters in the diabetic tissue
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Pressure vessel model of single-fascicled rat sciatic peripheral nerve in its (a) in vivo, and (b) ex vivo states. Upon excision, the perineurium and epineurium retract, effectively extruding the endoneurium. Loads in the epineurium/perineurium of a peripheral nerve, showing (c) a “continuum” section, and (d) the depiction of how in-plane fibril distributions affect load sharing among the fibrillar collagens.
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A typical stress–strain response of fibrillar collagenous tissue of the peripheral nerve (data taken from failure curve of whole sciatic from a BioBreeding rat 32) with toe, linear and failure regions noted. Notation for the bundle model is included.
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Experimental data are fit with a series of simulations stepping through values for ā,σaγ, α and Ex with software depicted by (a) flow-chart for obtaining RMS minimum in bundle model, using (b) sinusoidal approximations of collagen fibrils
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A parametric plot of endoneurial fluid pressure (EFP) as a function of dimensionless parameters η and ξ, Eq. (8). Superimposed is an endoneurial fluid pressure trace recorded from a healthy BioBreeding rat 32. Data taken with a 900A microfluidic pressure-device (World Precision Instruments, Sarasota, FL).
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Example of fitting of experimental stress–strain-failure data from the sciatic nerve of a healthy (nondiabetic) BioBreeding rat (lab designation 018-60-16). Initially, (a) simulated data are superimposed on experimental data 32, (b) parametric plot of RMS error as a function of average fibril amplitude, ā, and fibril amplitude standard deviation, σa, and (c) parametric plot of RMS error as a function of average fibril amplitude, ā, and fibril angle standard deviation, σγ, parametric contour plots of RMS error as a function of Weibull shape parameter, α, and normalized Weibull scale parameter, Ex (Ex=Ef/x0) Ef=average fibril modulus, x0=Weibull scale parameter for (d) equal load sharing and (e) local load sharing.



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