Konstantin Mischaikow
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Explore the profile of Konstantin Mischaikow including associated specialties, affiliations and a list of published articles.
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Recent Articles
1.
Lipinski M, Mischaikow K, Mrozek M
Qual Theory Dyn Syst
. 2024 Nov;
24(1):5.
PMID: 39555227
Motivated by the study of recurrent orbits and dynamics within a Morse set of a Morse decomposition we introduce the concept of Morse predecomposition of an isolated invariant set within...
2.
Cummins B, Vrana J, Moseley R, Eramian H, Deckard A, Fontanarrosa P, et al.
Synth Biol (Oxf)
. 2023 Apr;
8(1):ysad005.
PMID: 37073283
Computational tools addressing various components of design-build-test-learn (DBTL) loops for the construction of synthetic genetic networks exist but do not generally cover the entire DBTL loop. This manuscript introduces an...
3.
Cummins B, Motta F, Moseley R, Deckard A, Campione S, Gameiro M, et al.
PLoS Comput Biol
. 2022 Oct;
18(10):e1010145.
PMID: 36215333
Large programs of dynamic gene expression, like cell cyles and circadian rhythms, are controlled by a relatively small "core" network of transcription factors and post-translational modifiers, working in concerted mutual...
4.
Batko B, Mischaikow K, Mrozek M, Przybylski M
SIAM J Appl Dyn Syst
. 2021 Aug;
19(1):665-704.
PMID: 34335113
The topological method for the reconstruction of dynamics from time series [K. Mischaikow et al., ., 82 (1999), pp. 1144-1147] is reshaped to improve its range of applicability, particularly in...
5.
Gameiro M, Gedeon T, Kepley S, Mischaikow K
PLoS Comput Biol
. 2021 Jul;
17(7):e1009189.
PMID: 34324484
We demonstrate a modeling and computational framework that allows for rapid screening of thousands of potential network designs for particular dynamic behavior. To illustrate this capability we consider the problem...
6.
Kramar M, Kovalcinova L, Mischaikow K, Kondic L
Chaos
. 2021 Apr;
31(3):033126.
PMID: 33810731
History dependence of the evolution of complex systems plays an important role in forecasting. The precision of the predictions declines as the memory of the systems is lost. We propose...
7.
Diegmiller R, Zhang L, Gameiro M, Barr J, Imran Alsous J, Schedl P, et al.
PLoS Comput Biol
. 2021 Feb;
17(2):e1008711.
PMID: 33556054
Since the seminal 1961 paper of Monod and Jacob, mathematical models of biomolecular circuits have guided our understanding of cell regulation. Model-based exploration of the functional capabilities of any given...
8.
Cyranka J, Mischaikow K, Weibel C
J Appl Comput Topol
. 2020 Oct;
4(4):509-523.
PMID: 33094152
This work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that encode topological...
9.
Harker S, Kramar M, Levanger R, Mischaikow K
J Appl Comput Topol
. 2020 Feb;
3(1-2):85-118.
PMID: 32110719
We present a generalization of the induced matching theorem of as reported by Bauer and Lesnick (in: Proceedings of the thirtieth annual symposium computational geometry 2014) and use it to...
10.
Cummins B, Gedeon T, Harker S, Mischaikow K
SIAM J Appl Dyn Syst
. 2019 Nov;
17(2):1589-1616.
PMID: 31762711
We show how a graph algorithm for finding matching labeled paths in pairs of labeled directed graphs can be used to perform model invalidation for a class of dynamical systems...