The role of fractional calculus in modeling biological phenomena: A review

• Type: Another Publication in an International Scientific Journal
• Date: 2017

Authors

C. Ionescu (Author) Other; António Mendes Lopes (Author) FEUP; D. Copot (Author) Other; J.A.T Machado (Author) Other; J.H.T. Bates (Author) Other

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 51

Pages: 141-159

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 401 Citations

ISI Web of Science

Scopus - 463 Citations

Other information

Authenticus ID: P-00M-Q2W

DOI: 10.1016/j.cnsns.2017.04.001

Abstract (EN): This review provides the latest developments and trends in the application of fractional calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple rules that lead to the emergence of complex phenomena as a result. Of these, the paper addresses the properties in respiratory lung tissue, whose natural solutions arise from the midst of FC in the form of non-integer differ-integral solutions and non-integer parametric models. Diffusion of substances in human body, e.g. drug diffusion, is also a phenomena well known to be captured with such mathematical models. FC has been employed in neuroscience to characterize the generation of action potentials and spiking patters but also in characterizing bio-systems (e.g. vegetable tissues). Despite the natural complexity, biological systems belong as well to this class of systems, where FC has offered parsimonious yet accurate models. This review paper is a collection of results and literature reports who are essential to any versed engineer with multidisciplinary applications and bio-medical in particular.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19