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Agnes Backhausz, Christian Kuehn, Sjoerd van der Niet, Giulio Zucal
Spectral theory of dense hypergraph limits.
DISCRETE MATHEMATICS, 350(1) Art. No. 115362 (2027)
Open Access Source   

In this work, we develop a spectral theory for hypergraph limits. We prove the convergence of the spectra of adjacency and Laplacian matrices for hypergraph sequences converging in the 1-cut metric. On the other hand, we give examples of matrix operators associated with hypergraphs whose spectra are not continuous with respect to the 1-cut metric. Furthermore, we show that these operators are continuous with respect to other cut norms
@article{Backhausz9288,
author={Agnes Backhausz, Christian Kuehn, Sjoerd van der Niet, Giulio Zucal},
title={Spectral theory of dense hypergraph limits.},
journal ={DISCRETE MATHEMATICS},
volume={350},
issue ={1},
pages={null--null},
year=2027
}

Balazs Boros, Gheorghe Craciun, Oskar Henriksson, Jiaxin Jin, Diego Rojas La Luz
A flux-based approach for analyzing the disguised toric locus of reaction networks.
Advances in Applied Mathematics , 182 Art. No. 103160 (2027)
Open Access Source Full Text   

Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynamical systems is challenging due to the possibility of multistability, oscillations, and chaotic dynamics. One important tool for this study is the concept of reaction systems, which are dynamical systems generated by reaction networks for some choices of parameter values. Among these, disguised toric systems are remarkably stable: they have a unique attracting fixed point, and cannot give rise to oscillations or chaotic dynamics. The computation of the set of parameter values for which a network gives rise to disguised toric systems (i.e., the disguised toric locus of the network) is an important but difficult task. We introduce new ideas based on network fluxes for studying the disguised toric locus. We prove, under mild assumptions, that the disguised toric locus of any network G is a contractible manifold with boundary, and introduce an associated graph Gmax that characterizes its interior. These theoretical tools allow us, for the first time, to compute the full disguised toric locus for many networks of interest.
@article{Boros9313,
author={Balazs Boros, Gheorghe Craciun, Oskar Henriksson, Jiaxin Jin, Diego Rojas La Luz},
title={A flux-based approach for analyzing the disguised toric locus of reaction networks.},
journal ={Advances in Applied Mathematics },
volume={182},
pages={null--null},
year=2027
}

Maria Pavlou, Karen Tessmer, Juliane Hammer, Thomas Kurth, Aikaterini Makri, Celine Palitza, Berta Coll-San Martin, Fabian Rost, Marius Ader
Transplanted human photoreceptors differentially survive, incorporate, and mature in mildly and severely degenerated mouse retinae.
Mol Ther Adv, 34(4) Art. No. doi: 10.1016/j.omta.2026.201866 (2026)
Open Access PubMed Source   

Photoreceptor transplantation is considered a disease-agnostic therapeutic strategy for retinal degenerative diseases with highly heterogeneous genetic, molecular, and cellular pathologies. While integration of human photoreceptors enriched from stem-cell-derived retinal organoids was noted in previous preclinical studies, the potential influence of retinal degeneration severity on transplantation efficiency has not been systematically assessed. Here, we employed mice presenting mild or severe retinal degeneration as recipients for human induced pluripotent stem cell-derived photoreceptors. Donor cells formed multicellular clusters that started to interact with Müller glia processes from 3 weeks post transplantation (wpt) in mildly degenerated retinae, resulting in structural integration and maturation, characterized by inner/outer segment and synapse formation by 26 wpt. In contrast, in severely degenerated hosts, donor photoreceptors remained mainly scattered and showed limited incorporation or signs of maturation. Differential maturation of donor cells in mild vs. severe hosts was confirmed by single-cell RNA-sequencing analysis. However, transplantation at the beginning of the degeneration process of the severe model allowed structural integration and maturation of donor photoreceptors despite complete loss of endogenous photoreceptors over time. The study thus shows that survival, integration, and maturation of donor photoreceptors depend on the degenerative retinal microenvironment shaping significantly the transplantation efficiency.
@article{Pavlou9322,
author={Maria Pavlou, Karen Tessmer, Juliane Hammer, Thomas Kurth, Aikaterini Makri, Celine Palitza, Berta Coll-San Martin, Fabian Rost, Marius Ader},
title={Transplanted human photoreceptors differentially survive, incorporate, and mature in mildly and severely degenerated mouse retinae.},
journal ={Molecular therapy. Advances},
volume={34},
issue ={4},
pages={null--null},
year=2026
}

Jana Fuhrmann, Vincenzo Maria Schimmenti, Greta Cwikla, Sangwon Lee, Mariana Barrera Velazquez, Michaela Yuan, Michaela Wilsch-Bräuninger, Frank Jülicher, Marko Popović#, Natalie Dye#
Apical extracellular matrix regulates fold morphogenesis in the Drosophila wing disc.
Curr Biol, Art. No. doi: 10.1016/j.cub.2026.10.034 (2026)
PubMed Source   

Tissue folding is a fundamental process in animal organ development. Here, we study the progression of fold shape and the underlying mechanics in the development of the Drosophila wing disc. We present a 3D segmentation of the apical surface of the wing disc proper from larval stages, when folds grow, to early pupariation, when the tissue unfolds and remodels into a bilayer. We establish morphological metrics to quantify and resolve fold shape, introducing a definition of fold depth and width that can be used to characterize folds on a curved surface. Furthermore, we identify fibrous extracellular matrix on the apical side (aECM) that physically connects the two apposing sides of the folds. By modeling a tissue fold with a lateral vertex model endowed with an adhesive layer representing the aECM, we predict that unfolding in the wing disc is preceded by the removal of aECM. Using genetic perturbations, we confirm that aECM affects fold stability and wing disc mechanics: loss of aECM leads to abnormal fold shape and unfolding dynamics, whereas failure to remove aECM at pupariation inhibits unfolding. Finally, we show that these aECM perturbations in larval stages cause morphological phenotypes in the adult wing. In total, our work establishes a key mechanical role for aECM in wing disc morphogenesis and advances our understanding of how epithelial tissue folds can be mechanically stabilized during development.
@article{Fuhrmann9324,
author={Jana Fuhrmann, Vincenzo Maria Schimmenti, Greta Cwikla, Sangwon Lee, Mariana Barrera Velazquez, Michaela Yuan, Michaela Wilsch-Bräuninger, Frank Jülicher, Marko Popović, Natalie Dye},
title={Apical extracellular matrix regulates fold morphogenesis in the Drosophila wing disc.},
journal ={Current biology : CB},
volume={},
pages={1--1},
year=2026
}

Anne Schwager*, Jonas Neipel*, Yahor Savich*, Douglas Diehl, Frank Jülicher#, Anthony Hyman#, Stephan W. Grill#
In vitro binding energies capture Klf4 occupancy across the human genome.
Proc Natl Acad Sci U.S.A., 123(44) Art. No. e2538133123 (2026)
Open Access PubMed Source   

Transcription factors (TFs) regulate gene expression by binding to specific genomic loci determined by DNA sequence. Their sequence specificity is commonly summarized by a consensus binding motif. However, eukaryotic genomes contain billions of low-affinity DNA sequences to which TFs associate with a sequence-dependent binding energy. We currently lack insight into how the genomic sequence defines this spectrum of binding energies and the resulting pattern of TF localization. Here, we set out to obtain a quantitative understanding of sequence-dependent TF binding to both motif and nonmotif sequences. We achieve this by first pursuing accurate measurements of physical binding energies of human TF Krüppel-like factor 4 (Klf4) to a library of short DNA sequences in a fluorescence-anisotropy-based bulk competitive binding assay. Second, we show that the highly nonlinear sequence dependence of Klf4 binding energies can be captured by combining a linear model of binding energies with an Ising model of the coupled recognition of nucleotides by a TF. In this model, nucleotide-TF interfaces collectively switch between two states, weak binding and strong nucleotide-specific binding, and the states of neighboring interfaces are coupled with [Formula: see text]. We find that this statistical mechanics model parameterized by our in vitro measurements captures Klf4 binding patterns on an individual long DNA molecule stretched in the optical tweezer, and is predictive for Klf4 occupancy across the entire human genome without additional fit parameters.
@article{Schwager9317,
author={Anne Schwager, Jonas Neipel, Yahor Savich, Douglas Diehl, Frank Jülicher, Anthony Hyman, Stephan W. Grill},
title={In vitro binding energies capture Klf4 occupancy across the human genome.},
journal ={Proceedings of the National Academy of Sciences of the United States of America},
volume={123},
issue ={44},
pages={null--null},
year=2026
}

Jiaxuan Peng, Jaime Agudo-Canalejo#, Monika Chodasiewicz#, Daniël Van Damme#, Vangelis Daskalakis#, Manuel González-Fuente, Rui Gao, Emmanouela Filippidi#, Hongwei Guo, Shengbo He#, Kai Huang#, Shuai Huang#, Geng-Jen Jang#, Min Jia#, Roland L Knorr#, Xuelei Lai#, Ruixi Li#, Qiyu Liang, Chen Liu, Xuyu Liu, Yuchuan Miao, Min Ouyang#, Xuebo Quan, Jorge Solis-Miranda, Lucia C Strader#, Suayib Üstün, Shuyu Wang, Wei Wang, Zhenyu Wang, Yifan Xiong, Cao Xu, Guoyong Xu, Hailong Ye, Chunzhao Zhao, Pan Zhu, Yu Zhu, Emilio Gutierrez-Beltran, Panagiotis N Moschou, Xiaofeng Fang
A practical guide to investigating biomolecular condensates: a comment from the plant community.
Sci China Life Sci, 69(11) 3786-3820 (2026)
Open Access PubMed Source   

Biomolecular condensates formed through phase separation have emerged as a central principle of cellular organization, enabling the dynamic regulation of gene expression, signaling, metabolism, and stress responses. While early conceptual advances in condensate biology have largely originated from animal and in vitro systems, plant cells present a unique set of biological and technical challenges, including rigid cell walls, turgor pressure, plastid autofluorescence, complex endomembrane organization, and acute environmental responsiveness. These distinctive features impede the direct transfer of existing methodologies and drive the development of heterogeneous experimental practices. In this community comment, we present a comprehensive methodological framework for studying biomolecular condensates in plants, spanning in silico prediction, in vitro reconstitution, molecular dynamics simulations, live-cell and super-resolution imaging, material property measurements, membrane-associated condensates, and synthetic condensate engineering. We highlight best practices, common pitfalls, and plant-specific considerations, emphasizing the need for orthogonal validation, quantitative interpretation, and physiological relevance. By consolidating current methodologies and articulating shared principles, this review aims to establish a foundation for rigorous, reproducible, and conceptually coherent research in condensate biology of plants and beyond, with emerging implications for crop genetic improvement and synthetic biology applications.
@article{Peng9290,
author={Jiaxuan Peng, Jaime Agudo-Canalejo, Monika Chodasiewicz, Daniël Van Damme, Vangelis Daskalakis, Manuel González-Fuente, Rui Gao, Emmanouela Filippidi, Hongwei Guo, Shengbo He, Kai Huang, Shuai Huang, Geng-Jen Jang, Min Jia, Roland L Knorr, Xuelei Lai, Ruixi Li, Qiyu Liang, Chen Liu, Xuyu Liu, Yuchuan Miao, Min Ouyang, Xuebo Quan, Jorge Solis-Miranda, Lucia C Strader, Suayib Üstün, Shuyu Wang, Wei Wang, Zhenyu Wang, Yifan Xiong, Cao Xu, Guoyong Xu, Hailong Ye, Chunzhao Zhao, Pan Zhu, Yu Zhu, Emilio Gutierrez-Beltran, Panagiotis N Moschou, Xiaofeng Fang},
title={A practical guide to investigating biomolecular condensates: a comment from the plant community.},
journal ={Science China. Life sciences},
volume={69},
issue ={11},
pages={3786--3820},
year=2026
}

Elizabeth Eck*, Bruno Moretti*, Brandon H Schlomann*, Jordão Bragantini, Merlin Lange, Xiang Zhao, Shruthi VijayKumar, Guillaume Valentin, Cristina Loureiro, Pablo Perez Franco, Chloé Jollivet, Virginie Braman, Baldemar Motomochi, Loic Royer, Andrew C. Oates#, Hernan G Garcia#
Single-cell transcriptional dynamics in a living vertebrate.
Cell Syst, 17(10) Art. No. 101708 (2026)
PubMed Source   

The ability to follow transcription in individual cells with live imaging has revealed key dynamical mechanisms of gene regulation. However, such measurements are lacking in the context of vertebrate embryos. We addressed this deficit by applying MS2-MCP mRNA labeling to the quantification of transcription in zebrafish, a model vertebrate. We developed a platform of transgenic organisms, light-sheet fluorescence microscopy, and optimized image analysis that enables visualization and quantification of MS2 reporters. With these tools, we obtained single-cell, real-time measurements of the transcriptional dynamics of the segmentation clock. Our measurements reveal that smooth clock protein oscillations arise from discrete transcriptional bursts that are organized in space and time. Together, these results highlight how measuring single-cell transcriptional activity in the context of vertebrate organisms can reveal unexpected features of gene regulation and how this data can fuel the dialogue between theory and experiment.
@article{Eck9293,
author={Elizabeth Eck, Bruno Moretti, Brandon H Schlomann, Jordão Bragantini, Merlin Lange, Xiang Zhao, Shruthi VijayKumar, Guillaume Valentin, Cristina Loureiro, Pablo Perez Franco, Chloé Jollivet, Virginie Braman, Baldemar Motomochi, Loic Royer, Andrew C. Oates, Hernan G Garcia},
title={Single-cell transcriptional dynamics in a living vertebrate.},
journal ={Cell systems},
volume={17},
issue ={10},
pages={null--null},
year=2026
}

Nikita Bora*, Mihaly Badonyi*, Ankit K Pathak*, Rutharra Ghayadthri Manisekaran, Rutharra Ghayadthri null, Joseph A Marsh#, Joanne Ngeow#
Combining MAVEs and computational predictors improves variant classification across ancestries in hereditary cancer genes.
Genome Med, 18(1) Art. No. 174 (2026)
Open Access PubMed Source   

Many commonly used computational tools for variant effect prediction exhibit ancestry-related bias because they are trained on clinical or population datasets that under-represent global diversity, leading to uneven and sometimes unfair variant classification across ancestries. Multiplexed assays of variant effect (MAVEs) and population-free variant effect predictors (VEPs) instead offer alternatives that are unbiased with respect to human ancestry, providing classification evidence that generalises across populations.
@article{Bora9323,
author={Nikita Bora, Mihaly Badonyi, Ankit K Pathak, Rutharra Ghayadthri Manisekaran, Rutharra Ghayadthri null, Joseph A Marsh, Joanne Ngeow},
title={Combining MAVEs and computational predictors improves variant classification across ancestries in hereditary cancer genes.},
journal ={Genome medicine},
volume={18},
issue ={1},
pages={null--null},
year=2026
}
* joint first authors, # joint corresponding authors