Methods for Intratumoral Microdialysis Probe Targeting and Validation in Murine Brain Tumor Models

Author(s):  
Karishma Rajani ◽  
Ian Olson ◽  
Joshua J. Jacobs ◽  
Cecile Riviere-cazaux ◽  
Kirsten Burns ◽  
...  
2021 ◽  
pp. 113158
Author(s):  
W.H. Tomaszewski ◽  
J. Waibl-Polania ◽  
A.M. Miggelbrink ◽  
M.A. Chakraborty ◽  
P.E. Fecci ◽  
...  

2020 ◽  
Vol 5 (2) ◽  
Author(s):  
Kevin Liaw ◽  
Fan Zhang ◽  
Antonella Mangraviti ◽  
Sujatha Kannan ◽  
Betty Tyler ◽  
...  

2014 ◽  
Vol 69 (12) ◽  
pp. 725-732 ◽  
Author(s):  
Andrew G. Johnpillai ◽  
Fazal M. Mahomed ◽  
Saeid Abbasbandy

AbstractWe firstly show how one can use the invariant criteria for a scalar linear (1+1) parabolic partial differential equations to perform reduction under equivalence transformations to the first Lie canonical form for a class of brain tumor models. Fundamental solution for the underlying class of models via these transformations is thereby found by making use of the well-known fundamental solution of the classical heat equation. The closed-form solution of the Cauchy initial value problem of the model equations is then obtained as well. We also demonstrate the utility of the invariant method for the extended form of the class of brain tumor models and find in a simple and elegant way the possible forms of the arbitrary functions appearing in the extended class of partial differential equations. We also derive the equivalence transformations which completely classify the underlying extended class of partial differential equations into the Lie canonical forms. Examples are provided as illustration of the results.


2017 ◽  
Vol 19 (suppl_6) ◽  
pp. vi80-vi80
Author(s):  
Leslie Muldoon ◽  
Heather McConnell ◽  
Cymon Kersch ◽  
Edward Neuwelt

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