体积热力学
轮廓
半径
功能(生物学)
航程(航空)
数学
数学分析
物理
计算机科学
热力学
计算机安全
进化生物学
生物
计算机图形学(图像)
复合材料
材料科学
作者
Anusheel Munshi,Biplab Sarkar,Sayan Paul,Bhavini Chaudhari,Rohit Singh Chauhan,T Ganesh,Bidhu Kalyan Mohanti
标识
DOI:10.4103/jcrt.jcrt_614_19
摘要
This research describe the characteristic volume expansion of a moving target as a function of differential margins.We aimed to ascertain the volume change after giving margin for clinical and set up uncertainties including generating internal target volume (ITV) for moving target.Settings and Design - Spheres of diameter (0.5-10 cm) with differential expansion of 1-15 mm were generated using a mathematical formula. Moving targets of radius 1-5 cm were generated, and the resultant volume envelopes with incremental motion from 1 to 20 mm were obtained. All relative volume change results were fitted with mathematical functions to obtain a generalized mathematical formula.None.The percentage increase in volume (%ΔVp) was much more pronounced for smaller radius target. For moving target with relatively smaller radius, %ΔVp is predominant over the absolute volume change and vice versa in case of larger radius. Mathematical formulae were obtained for %ΔVp as a function of radius and expansion and for %ΔVp in ITV volume as a function of radius and tumor movement.This study provides an idea of volume change for various expansions for various size targets and/or moving target for different range of movements. It establishes a correlation of these volume changes with the changing target size and range of movements. Finally, a clinically useful mathematical formulation on volume expansion has been developed for rapid understanding of the consequence of volume expansion.
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