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Keywords: differential equations
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Journal Articles
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...
Journal Articles
Article Type: Technical Briefs
J Biomech Eng. July 2009, 131(7): 074506.
Published Online: June 5, 2009
... the new BHTM and the Pennes’ BHTM in a uniform, one-dimensional, unheated tissue 30 09 2008 13 03 2009 05 06 2009 biological tissues biothermics blood vessels differential equations haemorheology heat transfer Van Den Berg , C. A...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. February 2007, 129(1): 51–57.
Published Online: June 30, 2006
.... , 9 , pp. 183 – 201 . lung pneumodynamics physiological models differential equations aerosols ( a ) Tank system used to model the lung: The first in last out (FILO) model. ( b ) Tank system used to model the lung: The symmetrical model. Three complete inhalation...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. October 2005, 127(5): 776–781.
Published Online: May 9, 2005
... two-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
Article Type: Technical Papers
J Biomech Eng. August 2005, 127(4): 648–655.
Published Online: March 9, 2005
... Valves: Past Present and Future . Chandran , K. B. , 1997 , “ Measurement of Velocity of the Occluder at Valve Closure ,” Carbomedics Inc. Internal Report. prosthetics cardiology physiological models biomedical engineering pressure measurement differential equations cavitation...
Journal Articles
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...
Journal Articles
Article Type: Technical Briefs
J Biomech Eng. June 2005, 127(3): 549–553.
Published Online: January 31, 2005
... 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
Article Type: Technical Papers
J Biomech Eng. October 2001, 123(5): 418–424.
Published Online: April 25, 2001
...., 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. Hassanizadeh , S. M. , and...