| Nature's Patterns and the Fractional Calculus Contributor(s): West, Bruce J. (Author) |
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ISBN: 3110534118 ISBN-13: 9783110534115 Publisher: de Gruyter OUR PRICE: $145.34 Product Type: Hardcover - Other Formats Published: September 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Complex Analysis - Science | Physics - Mathematical & Computational - Science | Life Sciences - Developmental Biology |
| Series: Fractional Calculus in Applied Sciences and Engineering |
| Physical Information: 0.5" H x 6.69" W x 9.61" (1.19 lbs) 213 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus |
Contributor Bio(s): West, Bruce J.: - Bruce J. West, US Army Research Office, Cary, US |