We present an electronical circuit modelling a FitzHugh-Nagumo neuron with a modified excitability. To characterize this basic cell, the bifurcation curves between stability with excitation threshold, bistability and oscillations are investigated. An electrical circuit is then proposed to realize a unidirectional coupling between two cells, mimicking an inter-neuron synaptic coupling. In such a...

We report a noise-induced delay of bifurcation leading to persistent synaptically sustained "ring in a simple neural circuit. Two neural saddle-node oscillators are coupled with reciprocal excitatory synapses. Increasing synaptic current moves the circuit through a bifurcation into a bistable anti-phase regime. Applying a small random current to both neurons delays the onset of bistability. We ...

We present an electronical analogue circuit modelling a FitzHugh-Nagumo neuron with a modified excitability. To characterize this basic cell, the bifurcation curves between stability with excitation threshold, bistability and oscillations are investigated. An electrical circuit is then proposed to realize an unidirectional coupling between two cells, mimicking an inter-neuron synpatic coupling....

The main purpose of this paper is to study point-cycle type bistability as well induced periodic bursting oscillations by taking a modified Filippov-type Chua’s circuit system with low-frequency external excitation an example. Two different kinds bistable structures in the fast subsystem are obtained via conventional bifurcation analyses; meanwhile, nonconventional bifurcations also employed ex...

We report a noise induced delay of bifurcation in a simple pulse-coupled neural circuit. We study the behavior of two neural oscillators, each individually governed by saddle-node dynamics, with reciprocal excitatory synaptic connections. In the deterministic circuit, the synaptic current amplitude acts as a control parameter to move the circuit from a mono-stable regime through a bifurcation i...

The latching of temporary data is essential in the Rapid Single Flux Quantum (RSFQ) electronics family. Its pulse-driven nature requires two or more stable states in almost all cells. Storage loops must be designed to have exactly two stable states for binary data representation. In conventional RSFQ such loops are constructed to have two stable states, e.g. by using asymmetric bias currents. T...

In this Supporting Information we provide the following additional details: • Bistability of the PU.1–GATA-1 system – mathematical aspects. • An irreversible bistable PU.1–GATA-1 switch. • Is it necessary for C/EBPα to be autoregulating for irreversibility of the network? • Consequences of autoregulation of FOG-1 for the PU.1–GATA-1 switch. • Can FOG-1 play the role of the X gene? • Circuit pro...

The lysis/lysogeny switch of bacteriophage lambda serves as a paradigm for binary cell fate decision, long-term maintenance of cellular state and stimulus-triggered switching between states. In the literature, the system is often referred to as "bistable." However, it remains unclear whether this term provides an accurate description or is instead a misnomer. Here we address this question direc...

This paper explores the use of networked electronic circuits, which have symmetrical properties, for generating patterns with multiple frequencies. Using a simple bistable subcircuit, connected in a network with a specific topology, the principal operating frequencies of the network are divided in to two groups, with one group oscillating at twice the frequency of the other group. Specifically,...

Nucleosomes can be covalently modified by addition of various chemical groups on several of their exposed histone amino acids. These modifications are added and removed by enzymes (writers) and can be recognized by nucleosome-binding proteins (readers). Linking a reader domain and a writer domain that recognize and create the same modification state should allow nucleosomes in a particular modi...