<p>GF (growth factor) is the bifurcation parameter that is being changed. Red and blue curves are the stable and unstable branches, respectively. LP: Limit Point bifurcation also called the turning point at which the switch between the low and high stable branches occurs. (A) Since bistability curve is so flat for the <b><i>SOS</i></b><sub><b><i>complex</i></b></sub>, the unstable blue branch is squeezed between the two red stable branches and is not visible. (B) <i>RasGTP</i> response. The switch between the low and high stable branches occurs at the turning points, and it is shown by the arrows. (C) Ultrasensitive <b><i>MEK</i></b><sup><b><i>PP</i></b></sup> response. (D) Bistability is sustained in <b><i>ERK</i></b><sup><b><i>PP</i></b><...
<p>The blue and red regions represent ranges of the dimensionless parameters for which lateral and p...
<p>These diagrams, created using Xppaut, depict the occurrence of stable, equilibrium points (solid ...
<p>The dependence of the steady states of variable <i>R</i><sub>c</sub> (RNA level of c-KIT) on para...
<p>For there is a region of bistability in which both trivial and non-trivial stable steady states ...
<p>(A) Scatter plot with 31 points. The x-axis plots values of W in the low steady state of <a href=...
<p>A) The plot characterizes the existing bifurcations (with respect to p<sub>ext</sub>) at p<sub>ex...
<p>The dependence of the steady states of variable <i>R</i><sub>c</sub> (RNA level of c-KIT) on para...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
<p>The dark blue curve AH1 marks the supercritical Androvov-Hopf (A-H) bifurcation of the depolarize...
<p>The systems are at an initial steady state and, at time zero, the signal, represented in the x ax...
(A) Diagram of the mutual inhibition between the host cell growth and synthetic gene expression. (B)...
<p>(A) The qualitative behavior of the system without negative feedback from ULK1 to AMPK as a funct...
<p>(<b>A</b>) : The vs. function of the fixed points of the system as already shown in <a href="ht...
<p>These curves depict the equilibrium activity of the pyramidal neurons (A), inhibitory neurons (B)...
<p> and are complementary outputs, when one is high the other is low. Red (black) indicate stable (...
<p>The blue and red regions represent ranges of the dimensionless parameters for which lateral and p...
<p>These diagrams, created using Xppaut, depict the occurrence of stable, equilibrium points (solid ...
<p>The dependence of the steady states of variable <i>R</i><sub>c</sub> (RNA level of c-KIT) on para...
<p>For there is a region of bistability in which both trivial and non-trivial stable steady states ...
<p>(A) Scatter plot with 31 points. The x-axis plots values of W in the low steady state of <a href=...
<p>A) The plot characterizes the existing bifurcations (with respect to p<sub>ext</sub>) at p<sub>ex...
<p>The dependence of the steady states of variable <i>R</i><sub>c</sub> (RNA level of c-KIT) on para...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
<p>The dark blue curve AH1 marks the supercritical Androvov-Hopf (A-H) bifurcation of the depolarize...
<p>The systems are at an initial steady state and, at time zero, the signal, represented in the x ax...
(A) Diagram of the mutual inhibition between the host cell growth and synthetic gene expression. (B)...
<p>(A) The qualitative behavior of the system without negative feedback from ULK1 to AMPK as a funct...
<p>(<b>A</b>) : The vs. function of the fixed points of the system as already shown in <a href="ht...
<p>These curves depict the equilibrium activity of the pyramidal neurons (A), inhibitory neurons (B)...
<p> and are complementary outputs, when one is high the other is low. Red (black) indicate stable (...
<p>The blue and red regions represent ranges of the dimensionless parameters for which lateral and p...
<p>These diagrams, created using Xppaut, depict the occurrence of stable, equilibrium points (solid ...
<p>The dependence of the steady states of variable <i>R</i><sub>c</sub> (RNA level of c-KIT) on para...