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Page 1
Symmetry-breaking rhythms in coupled, identical fast-slow oscillators.
Awal NM, Epstein IR, Kaper TJ, Vo T. Awal NM, et al. Chaos. 2023 Jan;33(1):011102. doi: 10.1063/5.0131305. Chaos. 2023. PMID: 36725648
It identifies the key geometric structures responsible for this new symmetry-breaking, and it shows that many different types of symmetry-breaking rhythms arise robustly. We find symmetry-breaking rhythms in which one oscillator exhibits small-amplitude oscillations, while …
It identifies the key geometric structures responsible for this new symmetry-breaking, and it shows that many different types of symmetry-br …
An elementary model of torus canards.
Benes GN, Barry AM, Kaper TJ, Kramer MA, Burke J. Benes GN, et al. Chaos. 2011 Jun;21(2):023131. doi: 10.1063/1.3592798. Chaos. 2011. PMID: 21721773
These are a higher-dimensional generalization of the classical canard orbits familiar from planar systems and arise in fast-slow systems of ordinary differential equations in which the fast subsystem contains a saddle-node bifurcation of limit cycles. ...
These are a higher-dimensional generalization of the classical canard orbits familiar from planar systems and arise in fast-slow syst …
Chromosomal and plasmid-encoded factors of Shigella flexneri induce secretogenic activity ex vivo.
Faherty CS, Harper JM, Shea-Donohue T, Barry EM, Kaper JB, Fasano A, Nataro JP. Faherty CS, et al. PLoS One. 2012;7(11):e49980. doi: 10.1371/journal.pone.0049980. Epub 2012 Nov 16. PLoS One. 2012. PMID: 23166804 Free PMC article.
Shigella flexneri is a Gram-negative, facultative intracellular pathogen that causes millions of cases of watery or bloody diarrhea annually, resulting in significant global mortality. Watery diarrhea is thought to arise in the jejunum, and subsequent bloody diarrhea occur …
Shigella flexneri is a Gram-negative, facultative intracellular pathogen that causes millions of cases of watery or bloody diarrhea annually …
A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony.
Kaper TJ, Vo T. Kaper TJ, et al. Chaos. 2021 Dec;31(12):123111. doi: 10.1063/5.0067421. Chaos. 2021. PMID: 34972325
They are observed in parameter regimes immediately adjacent to regimes in which common large-amplitude solutions exist, such as trigger waves, spatially homogeneous MMOs, and sharp-interface solutions. Also, key singularities, folded nodes, and folded saddles arising commo …
They are observed in parameter regimes immediately adjacent to regimes in which common large-amplitude solutions exist, such as trigger wave …
Enterotoxigenic Escherichia coli is phagocytosed by macrophages underlying villus-like intestinal epithelial cells: modeling ex vivo innate immune defenses of the human gut.
Noel G, Doucet M, Nataro JP, Kaper JB, Zachos NC, Pasetti MF. Noel G, et al. Gut Microbes. 2017 Oct 31;9(4):0. doi: 10.1080/19490976.2017.1398871. Online ahead of print. Gut Microbes. 2017. PMID: 29087765 Free PMC article.
Additional evidence presented in this addendum confirms these findings and further demonstrates that macrophage adaptation occurs regardless of the stage of differentiation of epithelial cells, and that ETEC uptake arises rapidly after infection. The enteroid-macrophage co …
Additional evidence presented in this addendum confirms these findings and further demonstrates that macrophage adaptation occurs regardless …
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster.
Desroches M, Kaper TJ, Krupa M. Desroches M, et al. Chaos. 2013 Dec;23(4):046106. doi: 10.1063/1.4827026. Chaos. 2013. PMID: 24387585
Canards are central to the dynamics of MMBOs, and their role in shaping the MMBOs is two-fold: saddle-type canards are involved in the spike-adding mechanism of the underlying burster and permit one to understand the number of LAOs in each burst event, and folded-node canards …
Canards are central to the dynamics of MMBOs, and their role in shaping the MMBOs is two-fold: saddle-type canards are involved in the spike …
Coordination of cellular pattern-generating circuits that control limb movements: the sources of stable differences in intersegmental phases.
Jones SR, Mulloney B, Kaper TJ, Kopell N. Jones SR, et al. J Neurosci. 2003 Apr 15;23(8):3457-68. doi: 10.1523/JNEUROSCI.23-08-03457.2003. J Neurosci. 2003. PMID: 12716954 Free PMC article.
We show that the persistence of a stable phase lag to changes in frequency can arise from complementary effects on the network with ascending-only or descending-only intersegmental connections. ...
We show that the persistence of a stable phase lag to changes in frequency can arise from complementary effects on the network with a …
Canards of mixed type in a neural burster.
Desroches M, Burke J, Kaper TJ, Kramer MA. Desroches M, et al. Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 1):021920. doi: 10.1103/PhysRevE.85.021920. Epub 2012 Feb 23. Phys Rev E Stat Nonlin Soft Matter Phys. 2012. PMID: 22463257
This canard orbit is a hybrid of the classical limit cycle canards, which spend long times near attracting and repelling branches of equilibria, and torus canards, which spend long times near attracting and repelling branches of periodic orbits. The canards of mixed type arise …
This canard orbit is a hybrid of the classical limit cycle canards, which spend long times near attracting and repelling branches of equilib …
A simple model of chaotic advection and scattering.
Stolovitzky G, Kaper TJ, Sirovich L. Stolovitzky G, et al. Chaos. 1995 Dec;5(4):671-686. doi: 10.1063/1.166138. Chaos. 1995. PMID: 12780224
In this work, we study a blinking vortex-uniform stream map. This map arises as an idealized, but essential, model of time-dependent convection past concentrated vorticity in a number of fluid systems. ...
In this work, we study a blinking vortex-uniform stream map. This map arises as an idealized, but essential, model of time-dependent …
12 results