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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
}

Thomas J O'Neill, Carina Graß, Andreas Gewies, Sofia Coelho, Torben Gehring, Thomas Seeholzer, Lesca-Miriam Holdt, Andrew Flatley, Regina Feederle, Jens Staal, Rudi Beyaert, Florian Giesert, Wolfgang Wurst, Necil Kutukculer, Ronald Naumann, Daniel Krappmann
MALT1 alternative splicing-A molecular rheostat for balancing immune activation and homeostasis.
Sci Adv, 12(33) 2835-2835 (2026)
PubMed Source   

MALT1 (mucosa-associated lymphoid tissue lymphoma/leukemia protein 1)-TRAF6 [tumor necrosis factor receptor (TNFR)-associated factor 6] interaction drives lymphocyte activation and adaptive immunity, but it also contributes to maintaining immune homeostasis. MALT1 exists in two isoforms that differ only by either encoding two (MALT1A) or one (MALT1B) TRAF6 binding motif (T6BM). The human mutation MALT1 E806D in T6BM2, expressed in both MALT1A and MALT1B, has been associated with an immune disorder combining symptoms of immune deficiency and autoimmunity. Here, we report that the orthologous germline mutation MALT1 E814D is sufficient to induce a fatal autoimmune syndrome in mice. We demonstrate that species-specific differences in the effects of T6BM2 disruptions can be attributed to alterations in MALT1 splicing and that immune homeostasis is restored by genetically enforcing expression of MALT1A in MALT1 E814D mice. Thus, alternative MALT1 splicing allows tuning of TRAF6 association, thereby functioning as a molecular rheostat to balance between optimal immune activation and maintenance of peripheral tolerance.
@article{O'Neill9287,
author={Thomas J O'Neill, Carina Graß, Andreas Gewies, Sofia Coelho, Torben Gehring, Thomas Seeholzer, Lesca-Miriam Holdt, Andrew Flatley, Regina Feederle, Jens Staal, Rudi Beyaert, Florian Giesert, Wolfgang Wurst, Necil Kutukculer, Ronald Naumann, Daniel Krappmann},
title={MALT1 alternative splicing-A molecular rheostat for balancing immune activation and homeostasis.},
journal ={Science advances},
volume={12},
issue ={33},
pages={2835--2835},
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, Art. No. doi: 10.1007/s11427-026-3459-x (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={},
pages={1--1},
year=2026
}

Vasco Köhling*, Florian Peters*, Inez Götting, Emil Fries, Niklas Beck, Fred Armbrust, Silje Beckinger, Cynthia Bülck, Vahap Canbay, Inken Harder, Marion Mengel, Malina Rüffer, Kira Bickenbach, Konstantinos Kalogeropoulos, Michaela Schweizer, Marian Lewerenz, Neele Schumacher, Nathalie Jonca, Michael Haase, Ronald Naumann, Ulrich Auf dem Keller, Christoph Becker-Pauly#, Sascha Rüffer#
Regulation of keratinocyte proliferation and epidermal inflammation by meprin α-mediated cleavage of dermokine.
J Invest Dermatol, 146(8) 2189-2203 (2026)
Open Access PubMed Source   

Dysregulations within the epidermal proteolytic network can cause hyperproliferative and inflammatory disorders. Although the metalloprotease meprin α is localized in the stratum basale in healthy skin, increased levels are found in the upper epidermal layers in wound healing and psoriatic lesions. To investigate a link between meprin α expression and keratinocyte proliferation, we developed a mouse model for inducible expression of pathological meprin α levels (ie, K5Mα mice). K5Mα mice developed a skin phenotype characterized by hyperkeratosis, acanthosis, parakeratosis, and barrier defect. Keratinocyte hyperproliferation and local inflammation were induced upon induction of meprin α expression. By N-terminomics, we identified dermokine, a regulator of keratinocyte proliferation and epidermal immune response, as a putative substrate of meprin α. We validated the proteolysis and identified the cleavage site, which is highly conserved in mammals, suggesting that dermokine degradation by meprin α represents a central mechanism in wound healing and hyperproliferative skin diseases.
@article{Köhling9145,
author={Vasco Köhling, Florian Peters, Inez Götting, Emil Fries, Niklas Beck, Fred Armbrust, Silje Beckinger, Cynthia Bülck, Vahap Canbay, Inken Harder, Marion Mengel, Malina Rüffer, Kira Bickenbach, Konstantinos Kalogeropoulos, Michaela Schweizer, Marian Lewerenz, Neele Schumacher, Nathalie Jonca, Michael Haase, Ronald Naumann, Ulrich Auf dem Keller, Christoph Becker-Pauly, Sascha Rüffer},
title={Regulation of keratinocyte proliferation and epidermal inflammation by meprin α-mediated cleavage of dermokine.},
journal ={The Journal of investigative dermatology},
volume={146},
issue ={8},
pages={2189--2203},
year=2026
}

Nada Mohamad*, Siu-Shing Wong*, Anupa Majumdar*, Alan Wainman, Ingelise Holland-Kaye, Lars Hubatsch, Zsofia Novak, Andrei I. Pozniakovsky, Martine Ruer-Gruss, Andreas F M Haensele, Anna Caballe, Steven Johnson, Susan M Lea#, Anthony Hyman#, Jordan W Raff#
Polo/PLK1 phosphorylation relieves Centrosomin/Cnn autoinhibition to promote centrosome scaffold assembly.
EMBO J, Art. No. doi: 10.1038/s44318-026-00878-x (2026)
Open Access PubMed Source   

Mitotic centrosome maturation requires Polo/PLK1-dependent expansion of the pericentriolar material (PCM). In Drosophila, Centrosomin (Cnn) assembles a scaffold around mitotic centrioles through interactions between its PReM and CM2 domains. Here, we show that PReM adopts an autoinhibited helical hairpin conformation that prevents CM2 binding. Polo/PLK1 phosphorylation relieves this autoinhibition, enabling scaffold assembly, whereas phospho-blocking mutations disrupt PReM-CM2 binding in vitro and Cnn scaffold assembly in vivo. Potential functionally analogous domains have been identified in the human and C. elegans Cnn homologues CDK5RAP2 and SPD-5. We find that the human protein appears to share a structurally similar mechanism for scaffold assembly, but the worm protein does not. Consistent with this, deletion of these domains alters the dynamics of Cnn condensates in vitro, but has little effect on SPD-5 condensate dynamics. We conclude that Polo/PLK1 promotes mitotic centrosome assembly, at least in part, by relieving autoinhibitory intramolecular interactions.
@article{Mohamad9280,
author={Nada Mohamad, Siu-Shing Wong, Anupa Majumdar, Alan Wainman, Ingelise Holland-Kaye, Lars Hubatsch, Zsofia Novak, Andrei I. Pozniakovsky, Martine Ruer-Gruss, Andreas F M Haensele, Anna Caballe, Steven Johnson, Susan M Lea, Anthony Hyman, Jordan W Raff},
title={Polo/PLK1 phosphorylation relieves Centrosomin/Cnn autoinhibition to promote centrosome scaffold assembly.},
journal ={The EMBO journal},
volume={},
pages={1--1},
year=2026
}

Ilya Belevich, Lucas Porcile, Agustin Sola-Carvajal, David Grommisch, Karl Annusvar, Paul Heinz, Srustidhar Das, Anna T Webb, Simon Andersson, Nalle Pentinmikko, Eduardo J Villablanca, James R Goldenring, Michael Kasper, Eija Jokitalo, Robert J Coffey, Pekka Katajisto#, Sandra Scharaw#
Golgi organization regulates stem cell function in the small intestine.
Nat Commun, 17(1) Art. No. 7606 (2026)
Open Access PubMed Source   

Cell-to-cell signaling between niche and stem cells regulates tissue renewal. While the identity of many mediating factors is known, it is largely unknown whether stem cells optimize their receptiveness to niche signals according to the niche organization. Here, we show that Lgr5+ small intestinal stem cells (ISCs) regulate the morphology and orientation of their secretory apparatus to match the niche architecture, and to increase transport efficiency of niche signal receptors. ISCs orient their Golgi apparatus laterally towards Paneth cells of the epithelial niche, and divide Golgi into multiple stacks. Stem cells with multiple lateral Golgi transport stem cell receptors with a higher efficiency than cells with one single Golgi. The lateral Golgi orientation and enhanced receptor transport requires A-kinase anchor protein 9 (Akap9), and is necessary for normal renewal capacity. Moreover, reduced Akap9 in aged ISCs renders ISCs insensitive to niche-dependent modulation of Golgi stack number and transport efficiency. Our results reveal a stem cell-specific Golgi complex configuration that facilitates efficient niche signal reception and tissue renewal, which is compromised in the aged epithelium.
@article{Belevich9281,
author={Ilya Belevich, Lucas Porcile, Agustin Sola-Carvajal, David Grommisch, Karl Annusvar, Paul Heinz, Srustidhar Das, Anna T Webb, Simon Andersson, Nalle Pentinmikko, Eduardo J Villablanca, James R Goldenring, Michael Kasper, Eija Jokitalo, Robert J Coffey, Pekka Katajisto, Sandra Scharaw},
title={Golgi organization regulates stem cell function in the small intestine.},
journal ={Nature communications},
volume={17},
issue ={1},
pages={null--null},
year=2026
}

Benedikt Kuhn, Peter Kovermann, Bassam G Haddad, Tim Rasmussen, Tamsanqa T Hove, Stefanie Bungert-Plümke, Bettina Böttcher, Jan-Philipp Machtens, Christoph Fahlke, Eric R Geertsma
SLC26A11 is an atypical solute carrier with dual transport-channel function mediating lysosomal sulfate transport.
Nat Commun, 17(1) Art. No. 7407 (2026)
Open Access PubMed Source   

Membrane transporters and channels are generally assumed to be based on distinct structural and functional principles. SLC26A11, a solute carrier with high expression levels in the brain, has been proposed to function as either an anion transporter or a channel. Here, we resolve this apparent discrepancy by demonstrating that SLC26A11 is a dual-function protein capable of operating as both a sulfate transporter and a chloride channel. By resolving its structure and combining biochemical studies and molecular dynamics simulations, we show that SLC26A11 exhibits all the hallmarks of a secondary transporter. The mechanistic basis for its selective ion transport identifies the protein as the elusive lysosomal sulfate exporter. Additionally, we demonstrate that SLC26A11 exhibits an uncoupled, channel-like chloride conductance gated by proton:sulfate symport. Our finding that the chloride-conducting state arises from the transport cycle may contribute to the development of therapeutic strategies for treating brain edema, and the identification of its role in lysosome sulfate efflux may provide new approaches to study and treat lysosomal storage diseases.
@article{Kuhn9282,
author={Benedikt Kuhn, Peter Kovermann, Bassam G Haddad, Tim Rasmussen, Tamsanqa T Hove, Stefanie Bungert-Plümke, Bettina Böttcher, Jan-Philipp Machtens, Christoph Fahlke, Eric R Geertsma},
title={SLC26A11 is an atypical solute carrier with dual transport-channel function mediating lysosomal sulfate transport.},
journal ={Nature communications},
volume={17},
issue ={1},
pages={null--null},
year=2026
}

Turku Ozlum Celik, Pierre A. Haas, Georgy Scholten, Kexin Wang, Giulio Zucal
Strata of Ecological Coexistence via Grassmannians.
Ann. Comb, Art. No. doi: 10.1007/s00026-026-00837-7 (2026)
Open Access Source   

The Lotka-Volterra system is the simplest model of the ecological interactions of n species. The sign pattern of its parameter space Rn & times;Rn & times;n defines the network structure of the competitive, mutualistic, and predator-prey interactions between these species. Here, we study the feasible and stable equilibria of the Lotka-Volterra system from the perspective of computational algebraic geometry. The feasibility and stability conditions stratify Rn & times;Rn & times;n into feasible-stable semialgebraic sets. We encode them on the real Grassmannian GrR(n,2n) via a parameter matrix representation, and use oriented matroid theory to develop an algorithm, combining Grassmann-Pl & uuml;cker relations with branching under feasibility and stability constraints. This symbolic approach determines whether a given sign pattern in Rn & times;Rn & times;n admits a consistent extension to Pl & uuml;cker coordinates. As an application, we establish the impossibility of certain interaction networks, showing that the corresponding patterns admit no such extension satisfying feasibility and stability conditions, through an effective implementation. We complement these results using numerical nonlinear algebra with HypersurfaceRegions.jl to decompose the parameter space and detect rare feasible-stable sign patterns.
@article{Celik9284,
author={Turku Ozlum Celik, Pierre A. Haas, Georgy Scholten, Kexin Wang, Giulio Zucal},
title={Strata of Ecological Coexistence via Grassmannians.},
journal ={Annals of Combinatorics},
volume={},
pages={1--1},
year=2026
}

Guilherme F Almeida
Open Hurwitz flat F-manifolds.
Journal of Geometry and Physics, 229 Art. No. 105945 (2026)
Open Access Source   

In this paper, we construct solutions of the open WDVV equations starting from any Hurwitz Dubrovin–Frobenius manifold. The WDVV equations play a crucial role in the structure of Frobenius manifolds, quantum cohomology, and integrable systems. Extending these ideas, the open WDVV equations provide a framework to incorporate boundary conditions, making them fundamental in open Gromov–Witten theory. Using Dubrovin's construction of Landau–Ginzburg superpotentials associated with Hurwitz spaces, we demonstrate that their primitives satisfy the open WDVV equations. Our approach provides an efficient method for computing open WDVV solutions associated with any Hurwitz Dubrovin–Frobenius manifold.
@article{Almeida9275,
author={Guilherme F Almeida},
title={Open Hurwitz flat F-manifolds.},
journal ={Journal of Geometry and Physics},
volume={229},
pages={null--null},
year=2026
}

Henrik Rüping, Marc Stephan
An Equivariant BGG Correspondence and Perfect Complexes for Extensions by Z/2 × Z/2.
Algebras and Representation Theory, Art. No. doi: 10.1007/s10468-026-10402-8 (2026)
Open Access Source   

We provide an equivariant extension of Carlsson's BGG correspondence in characteristic two. As an application we classify perfect cochain complexes of (Z/2 & times;Z/2)& rtimes;Q -representations with four-dimensional total homology for finite groups Q of odd order. We deduce that cochain complexes of finite, free A4 -CW complexes with four-dimensional total homology are rigid: They are determined by the degrees of the nonzero homology groups.
@article{Rüping9278,
author={Henrik Rüping, Marc Stephan},
title={An Equivariant BGG Correspondence and Perfect Complexes for Extensions by Z/2 × Z/2.},
journal ={Algebras and Representation Theory},
volume={},
pages={1--1},
year=2026
}
* joint first authors, # joint corresponding authors