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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31
Citations
153
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Recent Articles
11.
Cummins B, Gedeon T, Harker S, Mischaikow K, Mok K
SIAM J Appl Dyn Syst
. 2019 Feb;
15(4):2176-2212.
PMID: 30774565
We describe the theoretical and computational framework for the Dynamic Signatures for Genetic Regulatory Network ( DSGRN) database. The motivation stems from urgent need to understand the global dynamics of...
12.
Cummins B, Gedeon T, Harker S, Mischaikow K
Front Physiol
. 2018 Jun;
9:549.
PMID: 29875674
We present a computational tool DSGRN for exploring the dynamics of a network by computing summaries of the dynamics of switching models compatible with the network across all parameters. The...
13.
Huttinga Z, Cummins B, Gedeon T, Mischaikow K
Physica D
. 2018 Jun;
367:19-37.
PMID: 29867284
Switching systems use piecewise constant nonlinearities to model gene regulatory networks. This choice provides advantages in the analysis of behavior and allows the global description of dynamics in terms of...
14.
Dijksman J, Kovalcinova L, Ren J, Behringer R, Kramar M, Mischaikow K, et al.
Phys Rev E
. 2018 May;
97(4-1):042903.
PMID: 29758651
We carry out a direct comparison of experimental and numerical realizations of the exact same granular system as it undergoes shear jamming. We adjust the numerical methods used to optimally...
15.
Gedeon T, Cummins B, Harker S, Mischaikow K
PLoS Comput Biol
. 2018 Apr;
14(4):e1006121.
PMID: 29684007
We present a new modeling and computational tool that computes rigorous summaries of network dynamics over large sets of parameter values. These summaries, organized in a database, can be searched...
16.
Gedeon T, Harker S, Kokubu H, Mischaikow K, Oka H
Physica D
. 2017 Apr;
339:18-38.
PMID: 28392611
No abstract available.
17.
Taylor D, Klimm F, Harrington H, Kramar M, Mischaikow K, Porter M, et al.
Nat Commun
. 2015 Sep;
6:8374.
PMID: 26338078
No abstract available.
18.
Taylor D, Klimm F, Harrington H, Kramar M, Mischaikow K, Porter M, et al.
Nat Commun
. 2015 Jul;
6:7723.
PMID: 26194875
Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however, in modern contagions long-range...
19.
Kramar M, Goullet A, Kondic L, Mischaikow K
Phys Rev E Stat Nonlin Soft Matter Phys
. 2014 Dec;
90(5-1):052203.
PMID: 25493787
We discuss sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent homology and allows for...
20.
Bush J, Gameiro M, Harker S, Kokubu H, Mischaikow K, Obayashi I, et al.
Chaos
. 2013 Jan;
22(4):047508.
PMID: 23278094
We discuss an algorithmic framework based on efficient graph algorithms and algebraic-topological computational tools. The framework is aimed at automatic computation of a database of global dynamics of a given...