Vladimir Tulovsky

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PURPOSE Rotational therapy treatment planning for rotationally symmetric geometry of tumor and healthy tissue provides an important example of testing various approaches to optimizing dose distributions for therapeutic x-ray irradiations. In this article, dose distribution optimization is formulated as a variational problem. This problem is solved(More)
The Yang diffusion transport equation for charged particles was modified to allow the linear angular scattering power to vary with penetration depth in the scattering medium. Assuming charged particle energy loss to be a linear function of depth, conditional solutions to this transport equation have been found for the two cases of interest specified by(More)
The solution of the Yang transport equation of the multiple scattering theory of charged particles is discussed. The method of Lie groups is utilized for the purpose of the construction of the solution of this equation. The fundamental solution of the Yang equation is provided as the closed form expression valid in the neighborhood of the center of(More)
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