1990
DOI: 10.1016/0360-3016(90)90037-k
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Optimization of uncomplicated control for head and neck tumors

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Cited by 146 publications
(84 citation statements)
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“…Comparison of effects of mean versus NTCP costlets for right parotid. Langer, 1990) or quadratic (Holmes, 1994;De Wagter, 1998;Oldham, 1995;Redpath, 1976) functions, the probability of uncomplicated control (P + ) (Kallman, 1992;Agren, 1990;Soderstrom, 1993), and other methods based on biological indices (such as TCP, NTCP, V eff ).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Comparison of effects of mean versus NTCP costlets for right parotid. Langer, 1990) or quadratic (Holmes, 1994;De Wagter, 1998;Oldham, 1995;Redpath, 1976) functions, the probability of uncomplicated control (P + ) (Kallman, 1992;Agren, 1990;Soderstrom, 1993), and other methods based on biological indices (such as TCP, NTCP, V eff ).…”
Section: Discussionmentioning
confidence: 99%
“…While the various systems may use different approaches to generate and compare candidate treatment plans, most are based on the use of a single type of mathematical model and a single search algorithm. Most of the early inverse planning systems used simple dosebased cost functions such as least-squares dose to one or more anatomic structures, and employed gradient-based search algorithms which perform well for quadratic cost functions (Bortfeld, 1999;Webb, 1989) although other more complicated functions were proposed (Agren, 1990;Bortfeld, 1988;Kallman, 1988;Mohan, 1996;Niemierko, 1992;Wang, 1995).…”
Section: Introductionmentioning
confidence: 99%
“…This was modified by Agren et al [23] to include a correlation parameter, δ to describe the fraction of patients where tumour control and normal tissue complications are statistically independent and where multiple normal tissues can be accounted for using the following formulae:…”
Section: Utcpmentioning
confidence: 99%
“…where P I (/D) (I denotes injury) is the mathematical expression of the response probability for a normal tissue being irradiated with a heterogeneous dose distribution,D [15,16,24,25] In this study, the length of 7 vertebrae or 20 cm was used as reference for the cervical and thoracic parts of spinal cord, respectively. The relative seriality parameter, s characterizes the internal organization of the functional subunits in the organ.…”
Section: The Relative Seriality Modelmentioning
confidence: 99%