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June 4, 2026Scientific Reports0 citationsOpen Access

Spatial scale of indentation explains shift in ratio between spinal cord gray and white matter stiffness

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ONOskar NeumannHSHarsh Vardhan SuranaMHMaik Hintze

Key Points

  • This study aims to investigate how the size of indenters affects the stiffness ratio between gray and white matter in the spinal cord.
  • Conducted spherical indentation tests with varying bead sizes on spinal cord sections.
  • Analyzed stiffness changes in both transverse and coronal planes of the tissue.
  • With smaller indenters, gray matter stiffness was greater than white matter.
  • Using larger indenters, white matter stiffness surpassed that of gray matter, with a stiffness ratio change from 1.07 to 0.76 in transverse sections.
  • Coronal sections showed increases in stiffness for both types, altering the ratio from 0.99 to 1.14.

Abstract

Abstract The structural integrity of spinal cord tissue and the transmission of mechanical stimuli across the different levels of tissue microarchitecture and varying spatial scales of mechanical loading challenge experimental and computational efforts to accurately model, simulate and interpret tissue mechanics, leading to conflicting findings in existing literature. Here, we demonstrate that the bead size used in spherical indentation tests significantly affects the stiffness ratio of spinal cord gray to white matter, a dependence which we only observe on the transverse plane and not the coronal plane of the tissue. Our study reveals a shift in stiffness ratio such that for smaller spherical indenters gray matter is stiffer than white matter, while for larger indenters, white matter is stiffer than gray matter. The mean relative change from the 100 m bead to the 500 m bead differed between anatomical planes, with transverse sections showing a decrease in gray matter (-13. 3\%) and an increase in white matter stiffness (+26. 9\%), accompanied by a reduction in the gray-to-white matter stiffness ratio from 1. 07 to 0. 76, whereas coronal sections exhibited increases in both gray (+21. 0\%) and white matter (+33. 8\%), along with a change in the ratio from 0. 99 to 1. 14. These findings contribute to explaining previously contradictory results in the literature and underscore the relevance of spatial scales in mechanical characterization studies.

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Cite This Study

Neumann et al. (2026) studied this question.

synapsesocial.com/papers/6a2115d7d499ed480b16eed2https://doi.org/10.1038/s41598-026-55065-z
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