Theory of Reactive Scattering. III. Exact Quantum‐Mechanical Calculations for a Three‐Dimensional Model for Three‐Body Rearrangements

1972 ◽  
Vol 57 (8) ◽  
pp. 3441-3455 ◽  
Author(s):  
Michael Baer ◽  
Donald J. Kouri
Keyword(s):  
Three Dimensional ◽  
Quantum Mechanical ◽  
Reactive Scattering ◽  
Quantum Mechanical Calculations ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Exact Quantum ◽  
Three Body

Review of Knee Models: 1996 Update

1996 ◽  
Vol 49 (10S) ◽  
pp. S187-S193 ◽  
Author(s):  
Mohamed Samir Hefzy ◽  
T. Derek V. Cooke
Keyword(s):  
Knee Joint ◽  
Three Dimensional ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Full Extension ◽  
Body Contact ◽  
Patellar Cartilage ◽  
Three Body

This paper is an update on our previous review of knee models (Hefzy and Grood [30]). We find that progress was made in the area of dynamic modeling. Since 1988, a technique was developed to solve the system of differential algebraic equations describing the three-dimensional dynamic behavior of the knee joint. This technique allows to solve complex problems. However, not a single dynamic comprehensive anatomically based mathematical three-dimensional model of the knee joint that includes both tibio-femoral and patello-femoral joints has yet been developed. In the area of meniscal modeling, we find that only one three-dimensional model of the knee joint that includes the menisci is available in the literature. This quasi-static model includes menisci, tibial, femoral and patellar cartilage layers, and ligamentous structures. This model is limited since it solves only for one position of the knee joint: full extension. From this updated survey, we conclude that the development of a comprehensive three-dimensional anatomically based mathematical model of the knee joint (that solves the three-body contact problem at the tibio-femoral joint between the menisci, tibia and femur, and includes the patello-femoral joint) continues to present major challenge.

The H + HeH+ → He + H2+ reaction from the ultra-cold regime to the three-body breakup: exact quantum mechanical integral cross sections and rate constants

2014 ◽  
Vol 16 (23) ◽  
pp. 11662-11672 ◽  
Author(s):  
Dario De Fazio
Keyword(s):  
Cross Sections ◽  
Rate Constants ◽  
Quantum Mechanical ◽  
Theoretical Studies ◽  
Quantum Mechanical Calculations ◽  
Exact Quantum ◽  
Three Body ◽  
Experimental And Theoretical Studies

Benchmark quantum mechanical calculations from the Wigner's regime to the three-body breakup are compared to previous experimental and theoretical studies.

Three-Dimensional Model for Virtual Surgical Simulation, during Complex Skull Base Surgery and Aneurysm Surgery

Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  
Keyword(s):  
Skull Base ◽  
Surgical Simulation ◽  
Skull Base Surgery ◽  
Three Dimensional ◽  
Aneurysm Surgery ◽  
Dimensional Model ◽  
Three Dimensional Model
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