Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions [0.03%]
时变鞍结分岔：非自治临界转换模型中的时间依赖性和不可返点
Jeremiah H Li,Felix X-F Ye,Hong Qian et al.
Jeremiah H Li et al.
There is a growing awareness that catastrophic phenomena in biology and medicine can be mathematically represented in terms of saddle-node bifurcations. In particular, the term "tipping", or critical transition has in recent years entered t...
Phase-locking and bistability in neuronal networks with synaptic depression [0.03%]
突触抑制状态下的神经网络的锁相与双稳态现象
Zeynep Akcay,Xinxian Huang,Farzan Nadim et al.
Zeynep Akcay et al.
We consider a recurrent network of two oscillatory neurons that are coupled with inhibitory synapses. We use the phase response curves of the neurons and the properties of short-term synaptic depression to define Poincaré maps for the acti...
Global dynamics for switching systems and their extensions by linear differential equations [0.03%]
切换系统的全局动力学及其微分方程扩展
Zane Huttinga,Bree Cummins,Tomáš Gedeon et al.
Zane Huttinga et al.
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 Morse graphs associated to node...
Standing and travelling waves in a spherical brain model: The Nunez model revisited [0.03%]
球形大脑模型中的驻波和行波：重新审视Nunez模型
S Visser,R Nicks,O Faugeras et al.
S Visser et al.
The Nunez model for the generation of electroencephalogram (EEG) signals is naturally described as a neural field model on a sphere with space-dependent delays. For simplicity, dynamical realisations of this model either as a damped wave eq...
Tomáš Gedeon,Shaun Harker,Hiroshi Kokubu et al.
Tomáš Gedeon et al.
Per Sebastian Skardal,Dane Taylor,Jie Sun et al.
Per Sebastian Skardal et al.
We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase synchroniza...
Actomyosin contraction, aggregation and traveling waves in a treadmilling actin array [0.03%]
踏车式肌动蛋白阵列中的肌动球蛋白收缩、聚集和行进波现象
Dietmar Oelz,Alex Mogilner
Dietmar Oelz
We use perturbation theory to derive a continuum model for the dynamic actomyosin bundle/ring in the regime of very strong crosslinking. Actin treadmilling is essential for contraction. Linear stability analysis and numerical solutions of t...
Oleg Kanakov,Tetyana Laptyeva,Lev Tsimring et al.
Oleg Kanakov et al.
We propose and study models of two distributed synthetic gene circuits, toggle-switch and oscillator, each split between two cell strains and coupled via quorum-sensing signals. The distributed toggle switch relies on mutual repression of t...
Modeling Selective Local Interactions with Memory: Motion on a 2D Lattice [0.03%]
具有记忆的局部选择性相互作用模型：二维晶格上的运动问题
Daniel Weinberg,Doron Levy
Daniel Weinberg
We consider a system of particles that simultaneously move on a two-dimensional periodic lattice at discrete times steps. Particles remember their last direction of movement and may either choose to continue moving in this direction, remain...
Martin Burger,Jan Haškovec,Marie-Therese Wolfram
Martin Burger
We introduce two models of biological aggregation, based on randomly moving particles with individual stochasticity depending on the perceived average population density in their neighborhood. In the first-order model the location of each i...