Nature’s Patterns and the Fractional Calculus
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| Title: | Nature’s Patterns and the Fractional Calculus |
|---|---|
| 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 |
| Authors: | Bruce J. West |
| Resource Type: | eBook. |
| Subjects: | pattern formation, Fractional calculus, Pattern formation (Biology), Allometry |
| Categories: | MATHEMATICS / Complex Analysis, MATHEMATICS / Applied, SCIENCE / Life Sciences / Human Anatomy & Physiology, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Life Sciences / Anatomy & Physiology, SCIENCE / System Theory, SCIENCE / Life Sciences / Developmental Biology |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1595389 RelevancyScore: 1077 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1077.00524902344 |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 510 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: pattern formation Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Pattern formation (Biology) Type: general – SubjectFull: Allometry Type: general Titles: – TitleFull: Nature’s Patterns and the Fractional Calculus Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bruce J. West – PersonEntity: Name: NameFull: Bruce J. West IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2017 – D: 25 M: 10 Type: profile Y: 2017 Identifiers: – Type: isbn-print Value: 9783110534115 – Type: isbn-electronic Value: 9783110534276 – Type: isbn-electronic Value: 9783110535136 Numbering: – Type: volume Value: 00002 Titles: – TitleFull: Nature’s Patterns and the Fractional Calculus Type: main |
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