General and Analytic Solutions of the Ortega Equation | Zendy

Sylwia Lewicka | Zendy

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General and Analytic Solutions of the Ortega Equation

Author(s) -

Sylwia Lewicka

Publication year - 2006

Publication title -

plant physiology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.554

H-Index - 312

eISSN - 1532-2548

pISSN - 0032-0889

DOI - 10.1104/pp.106.086751

Subject(s) - extension (predicate logic) , simple (philosophy) , differential equation , deformation (meteorology) , partial differential equation , order (exchange) , mathematics , mathematical analysis , computer science , physics , philosophy , epistemology , finance , meteorology , economics , programming language

type of ;t2 exp(2t2) (a time derivative of the sigmoid curve). This function, however, leads to nonanalytical solutions with no clear interpretations. In this study, the time-dependent growth rate GR(t) is modeled with a mathematical function that approximates the exact function very accurately. Importantly, the new approxi- mate function leads to analytical solutions with new predictions for the behavior of P(t) and valuable inter- pretations of the parameters within the solutions.

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