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Keywords: differential equations
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Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J Biomech Eng. December 2009, 131(12): 124501.
Published Online: October 29, 2009
... for the assumption is not clear. This study established differential equations of artery buckling and then proved that straight arteries bifurcated into sinusoidal mode shapes when buckling occurs. These results set the buckling equation on a solid theoretical foundation. With q ( z ) given...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J Biomech Eng. July 2009, 131(7): 074506.
Published Online: June 5, 2009
... was a pointwise differential equation and (2) the model solved for a pointwise tissue temperature T T assuming blood as an infinite heat sink at temperature T Bl . However, validity of this model as a pointwise true differential equation has been questioned on physical as well...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J Biomech Eng. February 2007, 129(1): 51–57.
Published Online: June 30, 2006
.... 05 12 2005 30 06 2006 lung pneumodynamics physiological models differential equations aerosols This paper models aerosol dispersion in the human lung by using a series of mixing tanks. The development of the model makes use of the experimental data given in Scherer et al...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J Biomech Eng. October 2005, 127(5): 776–781.
Published Online: May 9, 2005
...-dimensional coupled steady-state partial differential equation system was solved by the finite element method. The Poisson’s ratio of the valve was set to 0.45, and the modulus was regressed to experimental data, giving a best-fit value 4.2 MPa . Simulation results compared favorably with previous...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J Biomech Eng. August 2005, 127(4): 648–655.
Published Online: March 9, 2005
... for the purposes of calibration. Similarly, since the test was conducted using a rigid acrylic model, the compliance was assumed to be zero. A set of ordinary differential equations describing a mechanical heart valve leaflet and the fluid motion was developed to predict the minimum pressure during valve...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J Biomech Eng. February 2005, 127(1): 46–59.
Published Online: March 8, 2005
... of convection, a single terminal alveolar sac is modeled as an oscillating spherical shell with gas, PFC, tissue and capillary blood compartments. Differential equations describing mass conservation within each compartment are derived and solved to obtain time periodic partial pressures. Significant partial...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J Biomech Eng. June 2005, 127(3): 549–553.
Published Online: January 31, 2005
... is one example of a constraint imposed on living tissues as a result of implanted devices. This results in disturbed stress and strain fields, with potentially strong gradients. Herein, we numerically solve the governing nonlinear ordinary differential equation for the stress distribution in a finitely...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J Biomech Eng. October 2001, 123(5): 418–424.
Published Online: April 25, 2001
...., Campbell, S. L., and Petzold, L. R., 1989, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations , North-Holland, New-York. Hairer, E., and Wanner, G., 1991, Solving Ordinary Differential Equations II—Stiff and Differential-Algebraic Problems , Springer-Verlag, Berlin...