ANZIAM J.
48 (2006), 199-210
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Drainage after total knee replacement
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G. Sterling
Department of Orthopaedics
Townsville General Hospital
Townsville
QLD
Australia
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G. D. McBain
School of Aerospace
Mechanical
and Mechatronic Engineering
The University of Sydney
NSW
Australia
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J. A. Harris
Maunsell Australia Pty Ltd
21 Stokes St
Townsville QLD
Australia
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M. Boland
Department of Orthopaedics
Townsville General Hospital
Townsville
QLD
Australia
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Abstract
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A simple lumped hydraulic model of knee drainage
following arthroplasty is developed
incorporating a pressure-volume equation of
state for the knee capsule and a wound healing
rate dynamically retarded by the blood
flow-induced shear stress. The resulting
second-order nonlinear ordinary differential
system is examined numerically and
qualitatively to map the parameter space. In the
model, moderate suction or a slight
back-pressure promotes gradual drainage and
healing whereas excessive suction can lead to a
bifurcation in which healing is retarded or even
prevented. Guided, then, by the model, the
literature, and experience, continuous drainage
with a small constant back-pressure appeared
beneficial so we prospectively evaluated a
series of ten patients. The results are
consistent with the model and promising.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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