Limits...
Mathematical modelling of WOX5- and CLE40-mediated columella stem cell homeostasis in Arabidopsis.

Richards S, Wink RH, Simon R - J. Exp. Bot. (2015)

Bottom Line: We have also found that WOX5 contributes to, but is not absolutely necessary for, CSC maintenance.Furthermore, our modelling led us to postulate an additional signalling molecule that promotes CSC maintenance.We propose that this WOX5-independent signal originates in the QC, is targeted by CLE40 signalling and is capable of maintaining CSCs.

View Article: PubMed Central - PubMed

Affiliation: Institute of Developmental Genetics, Heinrich Heine University, 40225 Düsseldorf, Germany.

No MeSH data available.


Vector diagram of single-cell model results. (A) Fixed points are represented by black and grey filled circles, stable and unstable respectively. Solutions (blue lines) over time were obtained from various initial values (blue squares). Initial values chosen close to the unstable fixed point (like the initial value in the pink box) yield solutions that flow away from that fixed point. The basin of attraction for the CC fixed point at coordinates (0, 3) is shown in grey, and the basin of attraction for the QC fixed point close to (13, 0) is shown in white. Two initial values close to one another but lying in separate basins of attraction (green box) lead to different solutions over time. Vertical yellow lines mark changes in cell fate (where W=Wa and W=Wb). (B) A different set of parameter values (identical to the values used to produce Fig. 1A, but with decreased maximum production rate of W) yields only one fixed point (black dot), which is stable. All values of W and C are within its basin of attraction (grey).
© Copyright Policy - creative-commons
Related In: Results  -  Collection

License 1 - License 2
getmorefigures.php?uid=PMC4526915&req=5

Figure 4: Vector diagram of single-cell model results. (A) Fixed points are represented by black and grey filled circles, stable and unstable respectively. Solutions (blue lines) over time were obtained from various initial values (blue squares). Initial values chosen close to the unstable fixed point (like the initial value in the pink box) yield solutions that flow away from that fixed point. The basin of attraction for the CC fixed point at coordinates (0, 3) is shown in grey, and the basin of attraction for the QC fixed point close to (13, 0) is shown in white. Two initial values close to one another but lying in separate basins of attraction (green box) lead to different solutions over time. Vertical yellow lines mark changes in cell fate (where W=Wa and W=Wb). (B) A different set of parameter values (identical to the values used to produce Fig. 1A, but with decreased maximum production rate of W) yields only one fixed point (black dot), which is stable. All values of W and C are within its basin of attraction (grey).

Mentions: FQC as the representative of QC fate determines the production rate of W. To simulate production of W only in QC cells, the W production rate increases as FQC increases (blue in Figs 3 and 4). Likewise, FCC determines the production rate of C. The production rate of C increases as FCC increases to simulate CLE40 being produced only in CCs (teal in Figs 3 and 4). A network diagram of the interactions is shown in Fig. 3 with the corresponding equations.


Mathematical modelling of WOX5- and CLE40-mediated columella stem cell homeostasis in Arabidopsis.

Richards S, Wink RH, Simon R - J. Exp. Bot. (2015)

Vector diagram of single-cell model results. (A) Fixed points are represented by black and grey filled circles, stable and unstable respectively. Solutions (blue lines) over time were obtained from various initial values (blue squares). Initial values chosen close to the unstable fixed point (like the initial value in the pink box) yield solutions that flow away from that fixed point. The basin of attraction for the CC fixed point at coordinates (0, 3) is shown in grey, and the basin of attraction for the QC fixed point close to (13, 0) is shown in white. Two initial values close to one another but lying in separate basins of attraction (green box) lead to different solutions over time. Vertical yellow lines mark changes in cell fate (where W=Wa and W=Wb). (B) A different set of parameter values (identical to the values used to produce Fig. 1A, but with decreased maximum production rate of W) yields only one fixed point (black dot), which is stable. All values of W and C are within its basin of attraction (grey).
© Copyright Policy - creative-commons
Related In: Results  -  Collection

License 1 - License 2
Show All Figures
getmorefigures.php?uid=PMC4526915&req=5

Figure 4: Vector diagram of single-cell model results. (A) Fixed points are represented by black and grey filled circles, stable and unstable respectively. Solutions (blue lines) over time were obtained from various initial values (blue squares). Initial values chosen close to the unstable fixed point (like the initial value in the pink box) yield solutions that flow away from that fixed point. The basin of attraction for the CC fixed point at coordinates (0, 3) is shown in grey, and the basin of attraction for the QC fixed point close to (13, 0) is shown in white. Two initial values close to one another but lying in separate basins of attraction (green box) lead to different solutions over time. Vertical yellow lines mark changes in cell fate (where W=Wa and W=Wb). (B) A different set of parameter values (identical to the values used to produce Fig. 1A, but with decreased maximum production rate of W) yields only one fixed point (black dot), which is stable. All values of W and C are within its basin of attraction (grey).
Mentions: FQC as the representative of QC fate determines the production rate of W. To simulate production of W only in QC cells, the W production rate increases as FQC increases (blue in Figs 3 and 4). Likewise, FCC determines the production rate of C. The production rate of C increases as FCC increases to simulate CLE40 being produced only in CCs (teal in Figs 3 and 4). A network diagram of the interactions is shown in Fig. 3 with the corresponding equations.

Bottom Line: We have also found that WOX5 contributes to, but is not absolutely necessary for, CSC maintenance.Furthermore, our modelling led us to postulate an additional signalling molecule that promotes CSC maintenance.We propose that this WOX5-independent signal originates in the QC, is targeted by CLE40 signalling and is capable of maintaining CSCs.

View Article: PubMed Central - PubMed

Affiliation: Institute of Developmental Genetics, Heinrich Heine University, 40225 Düsseldorf, Germany.

No MeSH data available.