Vadim Ratner

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Molecular mechanisms underlying programs of cell proliferation, differentiation and apoptosis are now under intensive investigation. Recent studies strongly suggest that triggering of these programs depends on the cell cycle control. Integrative approaches such as computer modeling are needed to analyze different modes of the complex dynamics of the(More)
The conflicting demands for simultaneous low-pass and high-pass processing, required in image denoising and enhancement, still present an outstanding challenge, although a great deal of progress has been made by means of adaptive diffusion-type algorithms. To further advance such processing methods and algorithms, we introduce a family of second-order (in(More)
Diffusion-type algorithms have been integrated in recent years successfully into the toolbox of image processing. We introduce a new more flexible and powerful family of parabolic-hyperbolic partial differential equations (PDEs) that somewhat resembles the structure of the parabolic diffusion equation, but incorporates the second order derivative in time.(More)
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