Bharat Singhal,István Z Kiss,Jr-Shin Li
Bharat Singhal
We develop a framework to design optimal entrainment signals that entrain an ensemble of heterogeneous nonlinear oscillators, described by phase models, at desired phases. We explicitly take into account heterogeneity in both oscillation fr...
Mechanistic Modeling of Longitudinal Shape Changes: Equations of Motion and Inverse Problems [0.03%]
纵向形状变化的机制建模：运动方程和逆问题
Dai-Ni Hsieh,Sylvain Arguillère,Nicolas Charon et al.
Dai-Ni Hsieh et al.
This paper examines a longitudinal shape evolution model in which a three-dimensional volume progresses through a family of elastic equilibria in response to the time-derivative of an internal force, or yank, with an additional regularizati...
Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field [0.03%]
随机神经场中兴奋和抑制的斑块游走的区别
Heather L Cihak,Tahra L Eissa,Zachary P Kilpatrick
Heather L Cihak
Localized persistent cortical neural activity is a validated neural substrate of parametric working memory. Such activity "bumps" represent the continuous location of a cue over several seconds. Pyramidal (excitatory (E)) and interneuronal ...
Caitlyn Parmelee,Juliana Londono Alvarez,Carina Curto et al.
Caitlyn Parmelee et al.
Sequences of neural activity arise in many brain areas, including cortex, hippocampus, and central pattern generator circuits that underlie rhythmic behaviors like locomotion. While network architectures supporting sequence generation vary ...
Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation [0.03%]
形状与时间：瞬间和静态扰动下具有硬边界的极限环的线性响应
Yangyang Wang,Jeffrey P Gill,Hillel J Chiel et al.
Yangyang Wang et al.
When dynamical systems that produce rhythmic behaviors operate within hard limits, they may exhibit limit cycles with sliding components, that is, closed isolated periodic orbits that make and break contact with a constraint surface. Exampl...
Bhargav Karamched,Simon Stolarczyk,Zachary P Kilpatrick et al.
Bhargav Karamched et al.
To make decisions we are guided by the evidence we collect and the opinions of friends and neighbors. How do we combine our private beliefs with information we obtain from our social network? To understand the strategies humans use to do so...
Bogdan Batko,Konstantin Mischaikow,Marian Mrozek et al.
Bogdan Batko et al.
The topological method for the reconstruction of dynamics from time series [K. Mischaikow et al., Phys. Rev. Lett., 82 (1999), pp. 1144-1147] is reshaped to improve its range of applicability, particularly in the presence of sparse data and...
Maria-Veronica Ciocanel,Björn Sandstede,Samantha P Jeschonek et al.
Maria-Veronica Ciocanel et al.
Localization of messenger RNA (mRNA) at the vegetal cortex plays an important role in the early development of Xenopus laevis oocytes. While it is known that molecular motors are responsible for the transport of mRNA cargo along microtubule...
Comparison of Combinatorial Signatures of Global Network Dynamics Generated by Two Classes of ODE Models [0.03%]
两类微分方程模型产生的一致动力系统的组合标志的比较
Peter Crawford-Kahrl,Bree Cummins,Tomas Gedeon
Peter Crawford-Kahrl
Modeling the dynamics of biological networks introduces many challenges, among them the lack of first principle models, the size of the networks, and difficulties with parameterization. Discrete time Boolean networks and related continuous ...
Joshua L Proctory,Steven L Bruntonz,J Nathan Kutzx
Joshua L Proctory
We develop a new generalization of Koopman operator theory that incorporates the e ects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately ...