Počet záznamů: 1
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
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SYSNO ASEP 0481366 Druh ASEP M - Kapitola v monografii Zařazení RIV C - Kapitola v knize Název Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability Tvůrce(i) Plesa, T. (GB)
Vejchodský, Tomáš (MU-W) RID, SAI, ORCID
Erban, R. (GB)Zdroj.dok. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology. - Cham : Springer, 2017 / Holcman D. - ISBN 978-3-319-62626-0 Rozsah stran s. 3-27 Poč.str. 25 s. Poč.výt. 200 Poč.str.knihy 377 Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova ordinary-differential equations ; reaction systems ; multistability Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Institucionální podpora MU-W - RVO:67985840 EID SCOPUS 85042657162 DOI 10.1007/978-3-319-62627-7_1 Anotace Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with an emphasis on limit cycles, limit cycle bifurcations and multistability. The results are then used for construction of two reaction systems, which are at the deterministic level described by two-dimensional third-degree kinetic ODEs. The first system displays a homoclinic bifurcation, and a coexistence of a stable critical point and a stable limit cycle in the phase plane. The second system displays a multiple limit cycle bifurcation, and a coexistence of two stable limit cycles. The deterministic solutions of the constructed systems are compared, and the observed differences highlighted. The constructed systems are proposed as test problems for statistical methods, which are designed to detect and classify properties of given noisy time-series arising from biological applications. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2018
Počet záznamů: 1