TY - JOUR

T1 - Instability of myelin tubes under dehydration

T2 - Deswelling of layered cylindrical structures

AU - Chen, C. M.

AU - Schmidt, C. F.

AU - Olmsted, P. D.

AU - MacKintosh, F. C.

PY - 2001

Y1 - 2001

N2 - We report experimental observations of an undulational instability of myelin figures. Motivated by this, we examine theoretically the deformation and possible instability of concentric, cylindrical, multilamellar membrane structures. Under conditions of osmotic stress (swelling or dehydration), we find a stable, deformed state in which the layer deformation is given by [formula presented] where [formula presented] is the area compression modulus, B is the interlayer compression modulus, and h is the repeat distance of layers. Also, above a finite threshold of dehydration (or osmotic stress), we find that the system becomes unstable to undulations, first with a characteristic wavelength of order [formula presented] where [formula presented] is the standard smectic penetration depth and [formula presented] is the thickness of dehydrated region.

AB - We report experimental observations of an undulational instability of myelin figures. Motivated by this, we examine theoretically the deformation and possible instability of concentric, cylindrical, multilamellar membrane structures. Under conditions of osmotic stress (swelling or dehydration), we find a stable, deformed state in which the layer deformation is given by [formula presented] where [formula presented] is the area compression modulus, B is the interlayer compression modulus, and h is the repeat distance of layers. Also, above a finite threshold of dehydration (or osmotic stress), we find that the system becomes unstable to undulations, first with a characteristic wavelength of order [formula presented] where [formula presented] is the standard smectic penetration depth and [formula presented] is the thickness of dehydrated region.

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U2 - 10.1103/PhysRevE.64.050903

DO - 10.1103/PhysRevE.64.050903

M3 - Article

AN - SCOPUS:85035263614

SN - 1063-651X

VL - 64

SP - 4

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 5

ER -