SOLUTION OF AN INTEGRAL-EQUATION ENCOUNTERED IN ROTATION THERAPY

被引:211
作者
BRAHME, A [1 ]
ROOS, JE [1 ]
LAX, I [1 ]
机构
[1] UNIV STOCKHOLM, DEPT MATH, S-11385 STOCKHOLM, SWEDEN
关键词
D O I
10.1088/0031-9155/27/10/002
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
An integral equation relating the lateral absorbed dose profile of a photon beam to the resultant absorbed dose distribution during single-turn rotating-beam therapy has been set up and solved for the case of a cylindrical phantom with the axis of rotation coinciding with the axis of symmetry of the cylinder. In the 1st approximation the results obtained are also valid when the axis of rotation is somewhat off-centered, even in a phantom that deviates from circular symmetry, provided the rotation is performed in both clockwise and counterclockwise directions. The calculated dose profiles indicate that improved dose uniformity can be achieved using a new type of non-linear wedge-shaped filter, which can easily be designed using the derived general analytic solution to the integral equation. [Applications to tumor therapy are discussed.].
引用
收藏
页码:1221 / 1229
页数:9
相关论文
共 14 条
[1]  
Abel N. H., 1823, MAGAZIN NATURVIDENSK, V1
[2]  
ABEL NH, 1881, OEUVRES COMPLETES, V1, P2
[3]   RADIATION BEAM CHARACTERISTICS OF A 22 MEV MICROTRON [J].
BRAHME, A ;
SVENSSON, H .
ACTA RADIOLOGICA ONCOLOGY, 1979, 18 (03) :244-272
[4]   EARLY TWO-DIMENSIONAL RECONSTRUCTION AND RECENT TOPICS STEMMING FROM IT [J].
CORMACK, AM .
MEDICAL PHYSICS, 1980, 7 (04) :277-282
[5]  
ERDELYI A, 1954, HDB PHYSIK, V1, P245
[6]  
JOHNS HE, 1958, AMER J ROENTGENOL RA, V79, P373
[7]  
KLIGERMAN MM, 1958, AMER J ROENTGENOL RA, V79, P387
[8]  
LAX I, 1982, UNPUB RADIOLOGY
[9]  
NILSSON B, 1981, STRAHLENTHER ONKOL, V157, P181
[10]  
PROIMOS BS, 1980, PHYS MED BIOL, V25, P763