scholarly journals Global existence and uniqueness of a three-dimensional model of cellular electrophysiology

2011 ◽  
Vol 29 (4) ◽  
pp. 1573-1636 ◽  
Author(s):  
Hiroshi Matano ◽  
◽  
Yoichiro Mori ◽  
Keyword(s):  
Global Existence ◽  
Existence And Uniqueness ◽  
Three Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Cellular Electrophysiology ◽  
Global Existence And Uniqueness

The mathematics of varistors

2016 ◽  
Vol 28 (2) ◽  
pp. 208-220 ◽  
Author(s):  
GIOVANNI CIMATTI
Keyword(s):  
Boundary Value Problem ◽  
Electric Conductivity ◽  
Electric Potential ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Three Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Uniqueness Of Solutions ◽  
Inversion Theorem

A three-dimensional model of the varistor device is proposed. The thermal and electric conductivity of the material are taken to depend, in addition to the electric potential, on the temperature. Two theorems of existence and uniqueness of solutions for the boundary-value problem which determine the potential and the temperature inside the device are proposed. Levy–Caccioppoli global inversion theorem is used for the proof.

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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