scholarly journals A fast, linear Boltzmann transport equation solver for computed tomography dose calculation (Acuros CTD )

2018 ◽  
Vol 46 (2) ◽  
pp. 925-933 ◽  
Author(s):  
Adam Wang ◽  
Alexander Maslowski ◽  
Todd Wareing ◽  
Josh Star‐Lack ◽  
Taly Gilat Schmidt
Keyword(s):  
Computed Tomography ◽  
Transport Equation ◽  
Boltzmann Transport Equation ◽  
Dose Calculation ◽  
Boltzmann Transport

INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION

2002 ◽  
Vol 12 (01) ◽  
pp. 109-141 ◽  
Author(s):  
JOUKO TERVO ◽  
PEKKA KOLMONEN
Keyword(s):  
Radiation Therapy ◽  
Transport Equation ◽  
Treatment Planning ◽  
Dose Distribution ◽  
Treatment Plan ◽  
Boltzmann Transport Equation ◽  
Dose Calculation ◽  
Calculation Model ◽  
Boltzmann Transport ◽  
Delivery Technique

In the external radiation therapy the source of radiation is from outside. The healthy tissue and some organs, called critical organs which are quite intolerable for radiation, are always irradiated, too. Therefore, the careful treatment plan has to be constructed to ensure high and homogeneous dose in the tumor, but on the other hand to spare the normal tissue and critical organs possibly well. In the radiation therapy treatment planning one tries to optimize the dose distribution in the way that the above aim is satisfied. The dose distributions can be generated with different techniques. The most recent of them is the so-called multileaf collimator (MLC) delivery technique. Calculation of the dose distribution demands some dose calculation model. The paper gives a model and theoretical basis of planning applying the Boltzmann-transport equation in dose calculation and MLC delivery technique. The existence of solutions and the optimal treatment planning are considered. A preliminary artificial computer simulation is included.

scholarly journals An Evaluation of an Improper Integral Arises from an Analytic Solution of a Model Boltzmann Equation for Photon Transport

2016 ◽  
Vol 35 ◽  
pp. 87-94
Author(s):  
Taposh Kumar Das
Keyword(s):  
Mathematical Model ◽  
Boltzmann Equation ◽  
Transport Equation ◽  
Analytic Solution ◽  
Boltzmann Transport Equation ◽  
Dose Calculation ◽  
Boltzmann Transport ◽  
Photon Transport ◽  
Improper Integral ◽  
The Mathematical Model

In this article we adopted the Mathematical model of solution of an improper integral which is created from the solution of the Boltzmann Transport equation (BTE) for photons. For the dose calculation of radiotherapy for cancer treatment, we need to solve the Boltzmann Transport equation. This improper integral is the important part of the BTE. Also the calculating time of the dose calculation is mostly dependent on the calculating time of this improper integral. For reducing the calculating time we need the minimum integrating area which is explained in this paper.GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 87-94

scholarly journals Acuros CTS: A fast, linear Boltzmann transport equation solver for computed tomography scatter - Part I: Core algorithms and validation

2018 ◽  
Vol 45 (5) ◽  
pp. 1899-1913 ◽  
Author(s):  
Alexander Maslowski ◽  
Adam Wang ◽  
Mingshan Sun ◽  
Todd Wareing ◽  
Ian Davis ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Transport Equation ◽  
Boltzmann Transport Equation ◽  
Boltzmann Transport

scholarly journals Acuros CTS: A fast, linear Boltzmann transport equation solver for computed tomography scatter - Part II: System modeling, scatter correction, and optimization

2018 ◽  
Vol 45 (5) ◽  
pp. 1914-1925 ◽  
Author(s):  
Adam Wang ◽  
Alexander Maslowski ◽  
Philippe Messmer ◽  
Mathias Lehmann ◽  
Adam Strzelecki ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Transport Equation ◽  
System Modeling ◽  
Scatter Correction ◽  
Boltzmann Transport Equation ◽  
Boltzmann Transport
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