A Model of the Deformations of a Cross-Section of the Spinal Cord Due to Periodic Pressure Loadings

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TY – JOUR

T1 – A Model of the Deformations of a Cross-Section of the Spinal Cord Due to Periodic Pressure Loadings

AU – Harris, Paul

AU – Venton, Jenny

PY – 2025/1/15

Y1 – 2025/1/15

N2 – Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure of the extracellular fluid which saturates the spinal cord. The finite element method can be used to solve the differential equations, which describe both how the cord deforms and changes in the pressure of the extracellular fluid but often this requires a large number of time-steps to obtain an accurate and stable numerical solution.We present an alternative approach that uses a Fourier series method that avoids the need for using a time-stepping scheme and that can model how a pressure pulse affects the spinal cord.

AB – Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure of the extracellular fluid which saturates the spinal cord. The finite element method can be used to solve the differential equations, which describe both how the cord deforms and changes in the pressure of the extracellular fluid but often this requires a large number of time-steps to obtain an accurate and stable numerical solution.We present an alternative approach that uses a Fourier series method that avoids the need for using a time-stepping scheme and that can model how a pressure pulse affects the spinal cord.

KW – finite element metho

KW – Fourier series metho

KW – porous media

KW – spinal cord

U2 – 10.1002/mma.10666

DO – 10.1002/mma.10666

M3 – Article

SN – 1099-1476

JO – Mathematical Methods in the Applied Sciences

JF – Mathematical Methods in the Applied Sciences

ER –

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