By S. Webb
The Physics of Conformal Radiotherapy: Advances in expertise offers a radical evaluate of conformal radiotherapy and organic modeling, concentrating on the underlying physics and method of third-dimensional options in radiation treatment. This rigorously written, authoritative account evaluates 3-dimensional therapy making plans, optimization, photon multileaf collimation, proton treatment, transit dosimetry, intensity-modulation options, and organic modeling. it truly is a useful instructing consultant and reference for all scientific physicists and radiation oncologists/therapists that use conformal radiotherapy.
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Extra info for The physics of conformal radiotherapy : advances in technology
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It is for this reason that there is a large number of possible solutions developed by different authors. There has been some elegant mathematical work on the so-called inverse problem, discussed at length in Chapter 2 of the companion Volume (Cormack 1987, 1990, Cormack and Cormack 1987, Cormack and Quinto 1989, 1990) considering the problem as a Radon problem. The paper by Cormack and Quinto (1990) is a useful summary of these analyses. These Copyright © 1997 IOP Publishing Ltd 18 Developments and controversies in 3 0 planning papers give a great insight into the problem but practical solutions have subsequently required computational rather than formulistic solution and it is on these that we concentrate in this chapter.
This is of course a failure of setting up the problem to include treatment complexity in the first place. Copyright © 1997 IOP Publishing Ltd Progress in 3 0 treatment-plan optimisation 39 An additional advantage of fast simulated annealing with multiple beamweight changes per iteration is the increased speed of convergence by a factor of ten or so. Although some effort is expended to determine the optimum cooling scheme, they showed that the temperature may be set to zero with much the same result, tunnelling and descent ‘doing all the work’.
The aim of simulated annealing is to minimise the cost function V . The method gets its name from the process by which metals are annealed. If the temperature falls too fast then amorphous states can arise, whereas annealed metals form from slow cooling. 13). Imagine the slope is the graph of the cost function and for the purposes of illustration imagine the cost function is one-dimensional, The skier starts at the top (large value of the cost function) and wishes to reach the hotel at the bottom (global minimum of cost function).
