<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression in the state space in the case of reversible (left panels) and irreversible (right panels) G1-arrest states. Black circles and white circles indicate a stable equilibrium linked to a G1-arrest state and an unstable equilibrium, respectively. Half black and half white circle indicates a saddle-node equilibrium. Left and right panels correspond to two qualitatively distinct scenarios. In case of limit cycle trajectories (connecting S to M), panels (a) and (b) would correspond to a saddle-node bifurcation on invariant cycle and a saddle homoclinic bifurcation, respectively. (B) Typical asymptotic relationship between the rate of G1-phase progre...
<p>The glycolytic subsystem transitions between bistable (top) and monostable (bottom) as <i>G</i><s...
<p>(a) and (b) represent critical transitions without and with noise in the attractor dynamics, resp...
<p>A: The phase diagram for decreasing induced the differentiated state to the other differentiate...
<p>(left panels): standard scenario that gives rise to a reversible G1-arrest state and correspondin...
<p>In these panels, the unperturbed behavior of the model is compared to the controlled behavior at ...
<p>(A) Bifurcation diagram with and with the variation of . Here, the asymptotical dynamics of the ...
<p>(A) Schematic diagram for attractor landscapes and state transitions of dynamical systems. Each r...
A. Bifurcation diagram of the reduced two-unit model (Eqs 3 and 4) as τi varies. Gray line, fixed po...
<p>Distinct regimes of the network's operation as a function of excitatory and inhibitory gains and...
<p>A: symmetric structural motifs can give rise to asymmetric dynamics in which one area leads in ph...
<p>(A–C) Schematic drawings of a limit cycle attractor and a perturbation delivered to the system ar...
In the cell cycle, G1-phase progression is induced by the transduction of cell proliferation signal,...
<p>It shows transitioning between four phases (α, r, K, Ω) within a specific regime (full white arro...
A) Poincaré maps illustrate that the cycles of Fig 2 correspond to attractive limit cycles. Sixteen ...
<p><b>A</b>) A schematic showing the mood change as a function of the state variable <i>M</i> withou...
<p>The glycolytic subsystem transitions between bistable (top) and monostable (bottom) as <i>G</i><s...
<p>(a) and (b) represent critical transitions without and with noise in the attractor dynamics, resp...
<p>A: The phase diagram for decreasing induced the differentiated state to the other differentiate...
<p>(left panels): standard scenario that gives rise to a reversible G1-arrest state and correspondin...
<p>In these panels, the unperturbed behavior of the model is compared to the controlled behavior at ...
<p>(A) Bifurcation diagram with and with the variation of . Here, the asymptotical dynamics of the ...
<p>(A) Schematic diagram for attractor landscapes and state transitions of dynamical systems. Each r...
A. Bifurcation diagram of the reduced two-unit model (Eqs 3 and 4) as τi varies. Gray line, fixed po...
<p>Distinct regimes of the network's operation as a function of excitatory and inhibitory gains and...
<p>A: symmetric structural motifs can give rise to asymmetric dynamics in which one area leads in ph...
<p>(A–C) Schematic drawings of a limit cycle attractor and a perturbation delivered to the system ar...
In the cell cycle, G1-phase progression is induced by the transduction of cell proliferation signal,...
<p>It shows transitioning between four phases (α, r, K, Ω) within a specific regime (full white arro...
A) Poincaré maps illustrate that the cycles of Fig 2 correspond to attractive limit cycles. Sixteen ...
<p><b>A</b>) A schematic showing the mood change as a function of the state variable <i>M</i> withou...
<p>The glycolytic subsystem transitions between bistable (top) and monostable (bottom) as <i>G</i><s...
<p>(a) and (b) represent critical transitions without and with noise in the attractor dynamics, resp...
<p>A: The phase diagram for decreasing induced the differentiated state to the other differentiate...