Biomathematics and Interval Analysis: A Prosperous Marriage

Autor:	S. M. Markov, Michail D. Todorov, Christo I. Christov
Rok vydání:	2010
Předmět:	Identification (information) Mathematical optimization Partial differential equation Bounded function Interval estimation Applied mathematics Point (geometry) Field (mathematics) Focus (optics) Mathematics Interval arithmetic
Zdroj:	AIP Conference Proceedings.
ISSN:	0094-243X
DOI:	10.1063/1.3526621
Popis:	In this survey paper we focus our attention on dynamical bio‐systems involving uncertainties and the use of interval methods for the modelling study of such systems. The kind of envisioned uncertain systems are those described by a dynamical model with parameters bounded in intervals. We point out to a fruitful symbiosis between dynamical modelling in biology and computational methods of interval analysis. Both fields are presently in the stage of rapid development and can benefit from each other. We point out on recent studies in the field of interval arithmetic from a new perspective—the midpoint‐radius arithmetic which explores the properties of error bounds and approximate numbers. The midpoint‐radius approach provides a bridge between interval methods and the “uncertain but bounded” approach used for model estimation and identification. We briefly discuss certain recently obtained algebraic properties of errors and approximate numbers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bc47cf9fe41e06e93ebe9a7b42bd9646 https://doi.org/10.1063/1.3526621 Zobrazit plný text záznamu