<p>The mechanical behaviour of tumour and non-tumour cells under vibration remains insufficiently explored, particularly the role of elastic modulus in dynamic responses. This study investigates the vibration-induced mechanical behaviour in cellular structures with varying elastic moduli (<i>E</i> = 0.1 , 1 , and 10 kPa) and aspect ratios (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_97837_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\(AR = 2\)</EquationSource> </InlineEquation> and 4), focusing on vertical and horizontal forced vibrations. Finite element analysis was conducted to evaluate the natural frequencies, mode shapes, membrane accelerations, and stress responses. The intermediate aspect-ratio structures (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_97837_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\(AR = 2\)</EquationSource> </InlineEquation>) exhibited higher natural frequencies but a 64.2% increase in stress concentration, making them more susceptible to localised deformation under resonance. Conversely, higher aspect-ratio structures (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_97837_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\(AR = 4\)</EquationSource> </InlineEquation>) demonstrated improved vibrational stability with reduced resonance peaks and 64.6% lower localised stress. This study further confirmed that vertical vibrations generate higher stress and acceleration than horizontal vibrations owing to gravitational effects. Stress contour analysis indicated that under low-intensity vibrations, intermediate aspect-ratio structures may exceed their yield stress thresholds, leading to potential membrane rupture. These findings suggest that vibration-induced mechanical stimulation can be sensed differently depending on the elastic moduli and aspect ratios of tumour and non-tumour cells.</p>

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Effect of elastic modulus of tumour and non-tumour cells on vibration-induced behaviours

  • BonHeon Ku,
  • Jing Liu,
  • Sungsoo Na,
  • Hiroki Yokota,
  • Chinsuk Hong,
  • HeeChang Lim

摘要

The mechanical behaviour of tumour and non-tumour cells under vibration remains insufficiently explored, particularly the role of elastic modulus in dynamic responses. This study investigates the vibration-induced mechanical behaviour in cellular structures with varying elastic moduli (E = 0.1 , 1 , and 10 kPa) and aspect ratios ( \(AR = 2\) and 4), focusing on vertical and horizontal forced vibrations. Finite element analysis was conducted to evaluate the natural frequencies, mode shapes, membrane accelerations, and stress responses. The intermediate aspect-ratio structures ( \(AR = 2\) ) exhibited higher natural frequencies but a 64.2% increase in stress concentration, making them more susceptible to localised deformation under resonance. Conversely, higher aspect-ratio structures ( \(AR = 4\) ) demonstrated improved vibrational stability with reduced resonance peaks and 64.6% lower localised stress. This study further confirmed that vertical vibrations generate higher stress and acceleration than horizontal vibrations owing to gravitational effects. Stress contour analysis indicated that under low-intensity vibrations, intermediate aspect-ratio structures may exceed their yield stress thresholds, leading to potential membrane rupture. These findings suggest that vibration-induced mechanical stimulation can be sensed differently depending on the elastic moduli and aspect ratios of tumour and non-tumour cells.