<p>The overall model is analyzed by decomposing it into upstream and downstream levels. A: The functions used to describe the activation of Zds1, PP2A and Pkc1. B: The solutions of the downstream Zds1 - PP2A system (for fixed ) correspond to the intersections of the two graphs; see <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003443#pcbi.1003443.e134" target="_blank">equation (2)</a>. C: Bifurcation graph for the downstream Zds1 - PP2A system. D: the solutions of the upstream Rho1/Pkc1 system (for fixed ) correspond to the intersections of these graphs; see <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003443#pcbi.1003443.e163" target="_blank">equation (3)</a>. E: Bifurcation gra...
A recent application field of bifurcation theory is in modelling the cell cycle. We refer in particu...
<p><b>A</b>: empty flux state of model network; <b>B</b>: control state of model network; <b>C</b>: ...
<p>(a) The bifurcation diagrams with and as control parameters. (b) The bifurcation diagrams with ...
In this tutorial, we introduce basic concepts in dynamical systems analysis, such as phase-planes,...
<p>Each panel is a one-dimensional bifurcation diagram showing stable steady-state levels of phospho...
<p>Panels A, B: bifurcation over <i>T</i> for fixed <i>K</i> = 0.6. (A) <i>H</i> = 0.0 and (B) <i>H<...
<p>(a) The oscillatory regions of the two systems. (b) The bifurcation diagrams of the first model. ...
<p>The solid blue curves indicate stable steady-state levels of AMBRA1 phosphorylation for (A) diffe...
<p>(A) The qualitative behavior of the system without negative feedback from ULK1 to AMPK as a funct...
<p>(a) The bifurcation diagram with as a control parameter. (b) The codimension two bifurcation dia...
<p>A) The plot characterizes the existing bifurcations (with respect to p<sub>ext</sub>) at p<sub>ex...
<p>(a) The bifurcation diagrams with as the control parameter. (b) The bifurcation diagrams with a...
<p>Solid lines indicate stable equilibria; dashed lines unstable equilibria; open circles Hopf bifur...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
<p>(a) The bifurcation diagram of model II with as a control parameter. (b) The codimension two bif...
A recent application field of bifurcation theory is in modelling the cell cycle. We refer in particu...
<p><b>A</b>: empty flux state of model network; <b>B</b>: control state of model network; <b>C</b>: ...
<p>(a) The bifurcation diagrams with and as control parameters. (b) The bifurcation diagrams with ...
In this tutorial, we introduce basic concepts in dynamical systems analysis, such as phase-planes,...
<p>Each panel is a one-dimensional bifurcation diagram showing stable steady-state levels of phospho...
<p>Panels A, B: bifurcation over <i>T</i> for fixed <i>K</i> = 0.6. (A) <i>H</i> = 0.0 and (B) <i>H<...
<p>(a) The oscillatory regions of the two systems. (b) The bifurcation diagrams of the first model. ...
<p>The solid blue curves indicate stable steady-state levels of AMBRA1 phosphorylation for (A) diffe...
<p>(A) The qualitative behavior of the system without negative feedback from ULK1 to AMPK as a funct...
<p>(a) The bifurcation diagram with as a control parameter. (b) The codimension two bifurcation dia...
<p>A) The plot characterizes the existing bifurcations (with respect to p<sub>ext</sub>) at p<sub>ex...
<p>(a) The bifurcation diagrams with as the control parameter. (b) The bifurcation diagrams with a...
<p>Solid lines indicate stable equilibria; dashed lines unstable equilibria; open circles Hopf bifur...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
<p>(a) The bifurcation diagram of model II with as a control parameter. (b) The codimension two bif...
A recent application field of bifurcation theory is in modelling the cell cycle. We refer in particu...
<p><b>A</b>: empty flux state of model network; <b>B</b>: control state of model network; <b>C</b>: ...
<p>(a) The bifurcation diagrams with and as control parameters. (b) The bifurcation diagrams with ...