Fractal and Fractional Analysis in Biomedical Sciences and Engineering (Hardcover) (ISBN-13: 9783725848478)

Over the past two decades, various signal and image analyses, as well as bioinformatics approaches, have had a significant impact on research in life sciences. Problems arising in medical and biological research depend on a multitude of system parameters, often in a nonlinear way; these problems can often be successfully addressed via the tools of complex system analysis. Fractal and fractional analysis, originally rooted in theoretical developments, has later been recognized as well-suited for analyzing problems that occur in nature. Due to the random multiplicative processes in an organism, influencing growth, differentiation, and function, structures can be described in terms of scaled copies of self-similar entities. Machine learning and artificial intelligence are increasingly being employed in combination with fractional calculus.

This Special Issue Reprint offers an overview of state-of-the-art developments in the field of fractal and fractional-based methodologies as applied to the analysis and modeling of biological entities. Eight out of ten articles directly target cutting-edge medical problems. It is highly multidisciplinary and is expected to be of interest to researchers from the health sector, life sciences, and applied mathematics, as well as to readers with different academic or practical backgrounds.