Complexity, fractals, disease time, and cancer

Complexity, fractals, disease time, and cancer.

Despite many years of research, a method to precisely and quantitatively determine cancer disease state remains elusive. Current practice for characterizing solid tumors involves the use of varying systems of tumor grading and staging and thus leaves diagnosis and clinical staging dependent on the experience and skill of the physicians involved. Although numerous disease markers have been ident...

Fractals and Complexity

Concurrent Computation and Time Complexity Bounds for Algebraic Fractals

This paper considers various parallelization schemes and applies them to concurrent computation of algebraic fractals on IBM SP3 and SGI Onyx 3400 systems. We adapt the time complexity bounds of parallel Monte Carlo methods to predict the execution time behavior of these schemes. Nous étudions plusieurs méthodes de parallélisation appliquées au calcul simultané de plusieurs objets fractals algé...

Fractals in complexity and geometry

Fractals, Multifractals and the Science of complexity

Describing natural objects by geometry is as old as science itself, traditionally this has involved the use of Euclidean lines, rectangles, cuboids, spheres, and so on. But, nature is not restricted to Euclidean shapes. More than twenty years ago Benoit B. Mandelbrot observed that “Clouds are not spheres, mountains are not cones, coastlines are not circles, bark is not smooth, nor does lightnin...