<p>(A) Stationary ligand level as a function of the cis-interactions strength for and . Solid lines denote linearly stable solutions, dashed lines indicate linearly unstable solutions. Black dots refer to the stationary ligand levels for . (B) Nullclines diagram showing the three possible solutions at . The blue and red lines represent the nullclines. The continuous black line is a separatrix, which divides the parameter space into two basins of attraction of the two stable solutions. Percentages indicate the fraction of cells reaching the corresponding stable state computed from cells with initial random uniform levels of ligand. (C) Phase diagram showing the cell-autonomous bistability region zone where two states are linearly stable. ...
<p>Panel <b>A</b> shows our reaction scheme depicting the gene regulatory network. It is sketched fo...
Signal transduction networks are complex, as are their mathematical models. Gaining a deeper underst...
Black arrows indicate dimerization of ligand monomers, trans-activation and cis-activation of Notch;...
<p>(A–C) Stationary Notch signal in a cell () <i>versus</i> the amount of ligand in that cell () and...
<p>(A–C) Initial (left) and stationary (right) patterns of ligand levels at high cis-interactions st...
<p>(A) Stationary patterns of ligand levels arising from precursor cells with small initial variabil...
(A-C) The response of Notch to intracellular ligands of different oligomer size in a cell exposed to...
<p>Cartoons of the Notch signaling components under study for (A) two adjacent cells that interact a...
(A) Diagram of the mutual inhibition between the host cell growth and synthetic gene expression. (B)...
(A) The potential models governing cis-inhibition of Notch. The level of trans-ligand in sending cel...
<p>(A) Stationary stable stripped pattern of ligand levels that is a stable solution of the dynamics...
Notch signaling is involved in cell fate choices during the embryonic development of Metazoa. Common...
The Notch signaling pathway consists of transmembrane ligands and receptors that can interact both w...
Notch signaling is involved in cell fate choices during the embryonic development of Metazoa. Common...
(A) Schematic representation of different potential rules governing receptor/ligand interactions in ...
<p>Panel <b>A</b> shows our reaction scheme depicting the gene regulatory network. It is sketched fo...
Signal transduction networks are complex, as are their mathematical models. Gaining a deeper underst...
Black arrows indicate dimerization of ligand monomers, trans-activation and cis-activation of Notch;...
<p>(A–C) Stationary Notch signal in a cell () <i>versus</i> the amount of ligand in that cell () and...
<p>(A–C) Initial (left) and stationary (right) patterns of ligand levels at high cis-interactions st...
<p>(A) Stationary patterns of ligand levels arising from precursor cells with small initial variabil...
(A-C) The response of Notch to intracellular ligands of different oligomer size in a cell exposed to...
<p>Cartoons of the Notch signaling components under study for (A) two adjacent cells that interact a...
(A) Diagram of the mutual inhibition between the host cell growth and synthetic gene expression. (B)...
(A) The potential models governing cis-inhibition of Notch. The level of trans-ligand in sending cel...
<p>(A) Stationary stable stripped pattern of ligand levels that is a stable solution of the dynamics...
Notch signaling is involved in cell fate choices during the embryonic development of Metazoa. Common...
The Notch signaling pathway consists of transmembrane ligands and receptors that can interact both w...
Notch signaling is involved in cell fate choices during the embryonic development of Metazoa. Common...
(A) Schematic representation of different potential rules governing receptor/ligand interactions in ...
<p>Panel <b>A</b> shows our reaction scheme depicting the gene regulatory network. It is sketched fo...
Signal transduction networks are complex, as are their mathematical models. Gaining a deeper underst...
Black arrows indicate dimerization of ligand monomers, trans-activation and cis-activation of Notch;...