Dynamic readout of the Hh gradient in the Drosophila wing disc reveals pattern-specific tradeoffs between robustness and precision
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eLife assessment
This study presents a valuable finding on the precision conferred by dynamical interpretation of morphogen gradients. The evidence supporting the claims of the authors is convincing, with compelling theoretical analysis and solid yet incomplete experimental data. With the experimental part strengthened, the work could be of interest to the developmental biology and developmental systems biology communities.
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Abstract
How patterning by morphogen gradients determine tradeoffs between robustness and precision is unclear. Gradients that exhibit self-enhanced ligand degradation provide robustness to perturbations in morphogen production rates. However, increased robustness achieved through this mechanism is traded off for lower precision to noise. Here we use a hypotheses-driven theoretical approach to show that Hedge-hog (Hh) signaling would confer the same robustness to all target genes established by the steady-state gradient, but when a dynamical interpretation of patterning is used, robustness is maintained for steady-state outputs, but is traded off for higher precision in outputs set prior to steady-state. As predicted by our model, the widths of decapentaplegic (dpp) , and collier (col) , two target genes established by the Hh gradient in the Drosophila wing disc, exhibit differential robustness to Hh dosage. Particularly, higher robustness in the col pattern is ensured by Hh-dependent upregulation of its receptor Patched, an evolutionary-conserved property of Hh signaling that results in self-promoted Hh degradation. In contrast, dpp expression that is determined by the transient overshoot gradient, is insensitive to self-enhanced ligand degradation and exhibits less robustness, in exchange for a more precise boundary. Our work reveals of how morphogen gradients can establish tunable patterning properties in a target-specific manner.
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eLife assessment
This study presents a valuable finding on the precision conferred by dynamical interpretation of morphogen gradients. The evidence supporting the claims of the authors is convincing, with compelling theoretical analysis and solid yet incomplete experimental data. With the experimental part strengthened, the work could be of interest to the developmental biology and developmental systems biology communities.
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Reviewer #1 (Public Review):
This work focuses on the trade-off between precision and robustness in morphogen gradients of Hedgehog signaling. It presents a framework for how hedgehog signaling rises to precise responses and robust responses. This Framework is based on the characteristics of the hedgehog signaling pathway and specifically on the characteristics of the dynamical and stationary gradients that it forms in the Drosophila wing disc. On the one hand, the manuscript takes into account known results showing that the Hedgehog stationary gradient is robust due to a self-enhanced degradation (via activation of the Patched receptor). On the other hand, it uses the concept of dynamic interpretation of the gradient introduced by the leading author of this manuscript. According to this interpretation, different targets may be …
Reviewer #1 (Public Review):
This work focuses on the trade-off between precision and robustness in morphogen gradients of Hedgehog signaling. It presents a framework for how hedgehog signaling rises to precise responses and robust responses. This Framework is based on the characteristics of the hedgehog signaling pathway and specifically on the characteristics of the dynamical and stationary gradients that it forms in the Drosophila wing disc. On the one hand, the manuscript takes into account known results showing that the Hedgehog stationary gradient is robust due to a self-enhanced degradation (via activation of the Patched receptor). On the other hand, it uses the concept of dynamic interpretation of the gradient introduced by the leading author of this manuscript. According to this interpretation, different targets may be responding to a single signaling threshold and what differentiates the targets is whether they respond to the transient gradient, which extends over more cells, or if they respond to the stationary gradient. The Framework presented in this manuscript takes this prior knowledge and builds on it. The Framework proposes that the response from different targets will not be equally robust. Specifically, if the target responds to the stationary gradient, it will be a target with a robust response. Conversely, if the target responds to the gradient while it is being built, then it will be less robust but more precise. This framework is analyzed using mathematical models. Finally, experimental data that partially corroborate this framework are presented, focusing on the col and Dpp targets, which, according to previous results, read the stationary and transient gradients, respectively. To changes in Hh levels, the col pattern is more robust than the Dpp pattern. Furthermore, it is shown that this robustness decreases if the Patched receptor is not regulated. Hence, these experimental results confirm that the robustness is target-specific, as predicted by the models. The precision of the Dpp pattern is not tested experimentally.
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Reviewer #2 (Public Review):
This paper presents a modeling analysis of a diffusing morphogen (hh) that patterns the wing disk by controlling the expression of dpp and col. Two modes of gene expression control/interpretation are analyzed and presented, one is a response using a steady state threshold (col), which could be robust (defined as a small spatial shift of the gene expression when hh dosage changes) by a ptch mediated negative feedback mechanism; the other is the "overshoot" where an earlier hh gradient profile pre-steady state is read at a threshold to activate the gene (dpp), which is less robust to dosage changes but has better boundary features. Experimental measurements of pattern widths of col and dpp were performed under different hh dosage to test the models. How these different modes were achieved by each gene was …
Reviewer #2 (Public Review):
This paper presents a modeling analysis of a diffusing morphogen (hh) that patterns the wing disk by controlling the expression of dpp and col. Two modes of gene expression control/interpretation are analyzed and presented, one is a response using a steady state threshold (col), which could be robust (defined as a small spatial shift of the gene expression when hh dosage changes) by a ptch mediated negative feedback mechanism; the other is the "overshoot" where an earlier hh gradient profile pre-steady state is read at a threshold to activate the gene (dpp), which is less robust to dosage changes but has better boundary features. Experimental measurements of pattern widths of col and dpp were performed under different hh dosage to test the models. How these different modes were achieved by each gene was unclear.
The reviewer found this study presents at best incremental advances to the field. It doesn't provide substantial progress conceptually or experimentally from Eldar et al., 2003, Adleman et al., 2022 and particularly Nahmad and Stathopoulos, 2009. The experimental data and interpretation appear to lack the rigor needed to challenge the model predictions.
The authors pitched the difference between dpp and col in their response to hh dosage change as a tradeoff between robustness and precision. Specifically, the robustness refers to positioning and the precision refers to sharpness, which are somewhat arbitrary - as robustness could also refer to maintaining the sharpness of a expression boundary and precision can also refer to the position. Particularly for dpp, whose developmental significance of stripe position and sharpness is not analyzed (disc growth, pSmad, etc, for example - does a sharper but more mislocated dpp domain help the tissue?). The relationship between positioning and sharpness of a pattern in a morphogen system has been extensively discussed by many authors on a theoretcial level. The authors' theoretical analysis is clear and simple but not new. Experimental evidence indicates that dpp and col are regulated very differently by hh, particularly in terms of timing of response (Nahmad and Stathopoulos, 2009). No comparison of the GRNs from hh to these two genes was made or experimentally tested. It is difficult to conclude that their behaviors in response to hh dosage change are indeed from the hh gradient profile. It is also difficult to speculate if either of these genes (particularly dpp) is facing a true biological tradeoff or tuning back and forth between positioning and sharpness during evolution.
Methods 4.5: To measure widths of gene expression patterns, the authors used a background subtraction, followed by normalization and then thresholded the boundary at 0.2 - this approach firstly is oversimplifying the profile of the expression gradient/profile which could be informative in model testing (e.g., sharpness of dpp?). Secondly, the sequence of the analysis steps may introduce larger errors to lower signal-to-noise images where the subtraction narrows the pattern more than those with higher signal-to-noise (e.g., the 18 degree vs 25 degree images, Fig.6A), this would result in errors in the width measurements. Importantly, disk size and wing size controls are not reported.
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