• Corpus ID: 238857285

General solutions of poroelastic equations with viscous stress

@inproceedings{Moradi2021GeneralSO,
  title={General solutions of poroelastic equations with viscous stress},
  author={Moslem Moradi and Wenzheng Shi and Ehssan Nazockdast},
  year={2021}
}
Mechanical properties of cellular structures, including the cell cytoskeleton, are increasingly used as biomarkers for disease diagnosis and fundamental studies in cell biology. Recent experiments suggest that the cell cytoskeleton and its permeating cytosol, can be described as a poroelastic (PE) material. Biot theory is the standard model used to describe PE materials. Yet, this theory does not account for the fluid viscous stress, which can lead to inaccurate predictions of the mechanics in… 

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References

SHOWING 1-10 OF 40 REFERENCES
A poroelastic immersed boundary method with applications to cell biology
A porous viscoelastic model for the cell cytoskeleton
TLDR
The porous viscoelastic method presented here is validated for a prescribed oscillatory shear and for an expansion driven by the motion at the boundary of a circular material by comparing numerical solutions to an analytical solution of the Maxwell model for vis coelasticity.
The cytoplasm of living cells behaves as a poroelastic material
TLDR
The poroelastic model is directly validated to explain cellular rheology at physiologically relevant timescales using microindentation tests in conjunction with mechanical, chemical and genetic treatments and shows that water redistribution through the solid phase of the cytoplasm (cytoskeleton and macromolecular crowders) plays a fundamental role in setting cellularRheology.
Implications of a poroelastic cytoplasm for the dynamics of animal cell shape.
Multiphase Poroelastic Finite Element Models for Soft Tissue Structures
During the last two decades, biological structures with soft tissue components have been modeled using poroelastic or mixture-based constitutive laws, i.e., the material is viewed as a deformable
Animal cell hydraulics
TLDR
The finding of an internal gradient in hydration is inconsistent with a continuum model for cytoplasm, but consistent with the sponge model, and implies that the effective pore size of the sponge is small enough to retard water flow significantly on time scales relevant to cell physiology.
Non-equilibration of hydrostatic pressure in blebbing cells
TLDR
Cell blebs are used as reporters of local pressure in the cytoplasm and motion of the fluid relative to the network generates spatially heterogeneous transients in the pressure field, and can be described in the framework of poroelasticity.
Fundamentals of Poroelasticity
Intracellular Fluid Mechanics: Coupling Cytoplasmic Flow with Active Cytoskeletal Gel
The cell is a mechanical machine, and continuum mechanics of the fluid cytoplasm and the viscoelastic deforming cytoskeleton play key roles in cell physiology. We review mathematical models of
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