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Ruperti F, Dzieciatkowska M, Pankey MS, Asensio CS, Anselmetti D, Fernàndez-Busquets X, Nichols SA. Proteomic analysis of the sponge Aggregation Factor implicates an ancient toolkit for allorecognition and adhesion in animals. Proc Natl Acad Sci U S A 2024; 121:e2409125121. [PMID: 39693348 DOI: 10.1073/pnas.2409125121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2024] [Accepted: 11/12/2024] [Indexed: 12/20/2024] Open
Abstract
The discovery that sponges (Porifera) can fully regenerate from aggregates of dissociated cells launched them as one of the earliest experimental models to study the evolution of cell adhesion and allorecognition in animals. This process depends on an extracellular glycoprotein complex called the Aggregation Factor (AF), which is composed of proteins thought to be unique to sponges. We used quantitative proteomics to identify additional AF components and interacting proteins in the classical model, Clathria prolifera, and compared them to proteins involved in cell interactions in Bilateria. Our results confirm MAFp3/p4 proteins as the primary components of the AF but implicate related proteins with calx-beta and wreath domains as additional components. Using AlphaFold, we unveiled close structural similarities of AF components to protein domains in other animals, previously masked by the mutational decay of sequence similarity. The wreath domain, believed to be unique to the AF, was predicted to contain a central beta-sandwich of the same organization as the vWFD domain (also found in extracellular, gel-forming glycoproteins in other animals). Additionally, many copurified proteins share a conserved C-terminus, containing divergent immunoglobulin (Ig) and Fn3 domains predicted to serve as an AF-interaction interface. One of these proteins, MAF-associated protein 1, resembles Ig superfamily cell adhesion molecules and we hypothesize that it may function to link the AF to the surface of cells. Our results highlight the existence of an ancient toolkit of conserved protein domains regulating cell-cell and cell-extracellular matrix protein interactions in all animals, and likely reflect a common origin of cell adhesion and allorecognition.
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Affiliation(s)
- Fabian Ruperti
- Developmental Biology Unit, European Molecular Biology Laboratory, Heidelberg 69117, Germany
| | - Monika Dzieciatkowska
- Department of Biochemistry and Molecular Genetics, Anschutz Medical Campus, University of Colorado, Aurora, CO 80045
| | - M Sabrina Pankey
- Department of Molecular, Cellular and Biomedical Science, University of New Hampshire, Durham, NH 03824
| | - Cedric S Asensio
- Department of Biological Sciences, University of Denver, Denver, CO 80208
| | - Dario Anselmetti
- Nanomalaria Group, Faculty of Physics, Experimental Biophysics, Bielefeld University, Bielefeld 33501, Germany
| | - Xavier Fernàndez-Busquets
- Nanomalaria Group, Barcelona Institute for Global Health, Hospital Clínic Universitat de Barcelona, Barcelona 08036, Spain
- Nanomalaria Group, Institute for Bioengineering of Catalonia, The Barcelona Institute of Science and Technology, Barcelona 08028, Spain
| | - Scott A Nichols
- Department of Biological Sciences, University of Denver, Denver, CO 80208
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2
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Gonçalves M, Lopes C, Alégot H, Osswald M, Bosveld F, Ramos C, Richard G, Bellaiche Y, Mirouse V, Morais-de-Sá E. The Dystrophin-Dystroglycan complex ensures cytokinesis efficiency in Drosophila epithelia. EMBO Rep 2024:10.1038/s44319-024-00319-y. [PMID: 39548266 DOI: 10.1038/s44319-024-00319-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2024] [Revised: 10/21/2024] [Accepted: 10/24/2024] [Indexed: 11/17/2024] Open
Abstract
Cytokinesis physically separates daughter cells at the end of cell division. This step is particularly challenging for epithelial cells, which are connected to their neighbors and to the extracellular matrix by transmembrane protein complexes. To systematically evaluate the impact of the cell adhesion machinery on epithelial cytokinesis efficiency, we performed an RNAi-based modifier screen in the Drosophila follicular epithelium. Strikingly, this unveiled adhesion molecules and transmembrane receptors that facilitate cytokinesis completion. Among these is Dystroglycan, which connects the extracellular matrix to the cytoskeleton via Dystrophin. Live imaging revealed that Dystrophin and Dystroglycan become enriched in the ingressing membrane, below the cytokinetic ring, during and after ring constriction. Using multiple alleles, including Dystrophin isoform-specific mutants, we show that Dystrophin/Dystroglycan localization is linked with unanticipated roles in regulating cytokinetic ring contraction and in preventing membrane regression during the abscission period. Altogether, we provide evidence that, rather than opposing cytokinesis completion, the machinery involved in cell-cell and cell-matrix interactions has also evolved functions to ensure cytokinesis efficiency in epithelial tissues.
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Affiliation(s)
- Margarida Gonçalves
- IBMC - Instituto de Biologia Molecular e Celular, Universidade do Porto, 4200-135, Porto, Portugal
- Instituto de Investigação e Inovação em Saúde (i3S), Universidade do Porto, 4200-135, Porto, Portugal
- Programa Doutoral em Biologia Molecular e Celular (MCBiology), Instituto de Ciências Biomédicas Abel Salazar, Universidade do Porto, Porto, Portugal
| | - Catarina Lopes
- IBMC - Instituto de Biologia Molecular e Celular, Universidade do Porto, 4200-135, Porto, Portugal
- Instituto de Investigação e Inovação em Saúde (i3S), Universidade do Porto, 4200-135, Porto, Portugal
| | - Hervé Alégot
- Université Clermont Auvergne - iGReD (Institute of Genetics, Reproduction and Development), UMR CNRS 6293 - INSERM U1103, Faculté de Médecine, Clermont-Ferrand, France
| | - Mariana Osswald
- IBMC - Instituto de Biologia Molecular e Celular, Universidade do Porto, 4200-135, Porto, Portugal
- Instituto de Investigação e Inovação em Saúde (i3S), Universidade do Porto, 4200-135, Porto, Portugal
| | - Floris Bosveld
- Institut Curie, Université PSL, Sorbonne Université, CNRS UMR3215, INSERM U934, Genetics and Developmental Biology, 75005, Paris, France
| | - Carolina Ramos
- IBMC - Instituto de Biologia Molecular e Celular, Universidade do Porto, 4200-135, Porto, Portugal
- Instituto de Investigação e Inovação em Saúde (i3S), Universidade do Porto, 4200-135, Porto, Portugal
| | - Graziella Richard
- Université Clermont Auvergne - iGReD (Institute of Genetics, Reproduction and Development), UMR CNRS 6293 - INSERM U1103, Faculté de Médecine, Clermont-Ferrand, France
| | - Yohanns Bellaiche
- Institut Curie, Université PSL, Sorbonne Université, CNRS UMR3215, INSERM U934, Genetics and Developmental Biology, 75005, Paris, France
| | - Vincent Mirouse
- Université Clermont Auvergne - iGReD (Institute of Genetics, Reproduction and Development), UMR CNRS 6293 - INSERM U1103, Faculté de Médecine, Clermont-Ferrand, France
| | - Eurico Morais-de-Sá
- IBMC - Instituto de Biologia Molecular e Celular, Universidade do Porto, 4200-135, Porto, Portugal.
- Instituto de Investigação e Inovação em Saúde (i3S), Universidade do Porto, 4200-135, Porto, Portugal.
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3
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Finegan TM, Cammarota C, Mendoza Andrade O, Garoutte AM, Bergstralh DT. Fas2EB112: a tale of two chromosomes. G3 (BETHESDA, MD.) 2024; 14:jkae047. [PMID: 38447284 PMCID: PMC11075550 DOI: 10.1093/g3journal/jkae047] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/08/2024] [Revised: 02/29/2024] [Accepted: 02/29/2024] [Indexed: 03/08/2024]
Abstract
The cell-cell adhesion molecule Fasciclin II (Fas2) has long been studied for its evolutionarily conserved role in axon guidance. It is also expressed in the follicular epithelium, where together with a similar protein, Neuroglian (Nrg), it helps to drive the reintegration of cells born out of the tissue plane. Remarkably, one Fas2 protein null allele, Fas2G0336, demonstrates a mild reintegration phenotype, whereas work with the classic null allele Fas2EB112 showed more severe epithelial disorganization. These observations raise the question of which allele (if either) causes a bona fide loss of Fas2 protein function. The problem is not only relevant to reintegration but fundamentally important to understanding what this protein does and how it works: Fas2EB112 has been used in at least 37 research articles, and Fas2G0336 in at least three. An obvious solution is that one of the two chromosomes carries a modifier that either suppresses (Fas2G0336) or enhances (Fas2EB112) phenotypic severity. We find not only the latter to be the case, but identify the enhancing mutation as Nrg14, also a classic null allele.
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Affiliation(s)
- Tara M Finegan
- Department of Biology, University of Rochester, Rochester, NY 14627, USA
- Division of Biological Sciences, University of Missouri, Columbia, MO 65203, USA
| | - Christian Cammarota
- Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
| | | | - Audrey M Garoutte
- Division of Biological Sciences, University of Missouri, Columbia, MO 65203, USA
| | - Dan T Bergstralh
- Department of Biology, University of Rochester, Rochester, NY 14627, USA
- Division of Biological Sciences, University of Missouri, Columbia, MO 65203, USA
- Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA
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4
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Finegan TM, Cammarota C, Andrade OM, Garoutte AM, Bergstralh DT. Fas2EB112: A Tale of Two Chromosomes. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2024:2024.01.03.574100. [PMID: 38260405 PMCID: PMC10802346 DOI: 10.1101/2024.01.03.574100] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/24/2024]
Abstract
The cell-cell adhesion molecule Fasciclin II (Fas2) has long been studied for its evolutionarily-conserved role in axon guidance. It is also expressed in the follicular epithelium, where together with a similar protein, Neuroglian (Nrg), it helps to drive the reintegration of cells born out of the tissue plane. Remarkably, one Fas2 protein null allele, Fas2G0336, demonstrates a mild reintegration phenotype, whereas work with the classic null allele Fas2EB112 showed more severe epithelial disorganization. These observations raise the question of which allele (if either) causes a bona fide loss of Fas2 protein function. The problem is not only relevant to reintegration but fundamentally important to understanding what this protein does and how it works: Fas2EB112 has been used in at least 37 research articles, and Fas2G0336 in at least three. An obvious solution is that one of the two chromosomes carries a modifier that either suppresses (Fas2G0336) or enhances (Fas2EB112) phenotypic severity. We find not only the latter to be the case, but identify the enhancing mutation as Nrg14, also a classic null allele.
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Affiliation(s)
- Tara M Finegan
- Departments of Biology, University of Rochester, Rochester NY, 14627, USA
- Division of Biological Sciences, University of Missouri, Columbia, MO, 65203, USA
| | - Christian Cammarota
- Departments of Physics & Astronomy, University of Rochester, Rochester NY, 14627, USA
| | | | - Audrey M Garoutte
- Division of Biological Sciences, University of Missouri, Columbia, MO, 65203, USA
| | - Dan T Bergstralh
- Departments of Biology, University of Rochester, Rochester NY, 14627, USA
- Departments of Physics & Astronomy, University of Rochester, Rochester NY, 14627, USA
- Division of Biological Sciences, University of Missouri, Columbia, MO, 65203, USA
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Banach-Latapy A, Rincheval V, Briand D, Guénal I, Spéder P. Differential adhesion during development establishes individual neural stem cell niches and shapes adult behaviour in Drosophila. PLoS Biol 2023; 21:e3002352. [PMID: 37943883 PMCID: PMC10635556 DOI: 10.1371/journal.pbio.3002352] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Accepted: 09/28/2023] [Indexed: 11/12/2023] Open
Abstract
Neural stem cells (NSCs) reside in a defined cellular microenvironment, the niche, which supports the generation and integration of newborn neurons. The mechanisms building a sophisticated niche structure around NSCs and their functional relevance for neurogenesis are yet to be understood. In the Drosophila larval brain, the cortex glia (CG) encase individual NSC lineages in membranous chambers, organising the stem cell population and newborn neurons into a stereotypic structure. We first found that CG wrap around lineage-related cells regardless of their identity, showing that lineage information builds CG architecture. We then discovered that a mechanism of temporally controlled differential adhesion using conserved complexes supports the individual encasing of NSC lineages. An intralineage adhesion through homophilic Neuroglian interactions provides strong binding between cells of a same lineage, while a weaker interaction through Neurexin-IV and Wrapper exists between NSC lineages and CG. Loss of Neuroglian results in NSC lineages clumped together and in an altered CG network, while loss of Neurexin-IV/Wrapper generates larger yet defined CG chamber grouping several lineages together. Axonal projections of newborn neurons are also altered in these conditions. Further, we link the loss of these 2 adhesion complexes specifically during development to locomotor hyperactivity in the resulting adults. Altogether, our findings identify a belt of adhesions building a neurogenic niche at the scale of individual stem cell and provide the proof of concept that niche properties during development shape adult behaviour.
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Affiliation(s)
- Agata Banach-Latapy
- Institut Pasteur, Université Paris Cité, CNRS UMR3738, Structure and Signals in the Neurogenic Niche, Paris, France
| | | | - David Briand
- Institut Pasteur, Université Paris Cité, CNRS UMR3738, Structure and Signals in the Neurogenic Niche, Paris, France
| | - Isabelle Guénal
- Université Paris-Saclay, UVSQ, LGBC, 78000, Versailles, France
| | - Pauline Spéder
- Institut Pasteur, Université Paris Cité, CNRS UMR3738, Structure and Signals in the Neurogenic Niche, Paris, France
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Spitzer DC, Sun WY, Rodríguez-Vargas A, Hariharan IK. The cell adhesion molecule Echinoid promotes tissue survival and separately restricts tissue overgrowth in Drosophila imaginal discs. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2023:2023.08.04.552072. [PMID: 37577631 PMCID: PMC10418178 DOI: 10.1101/2023.08.04.552072] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/15/2023]
Abstract
The interactions that cells in Drosophila imaginal discs have with their neighbors are known to regulate their ability to survive. In a screen of genes encoding cell surface proteins for gene knockdowns that affect the size or shape of mutant clones, we found that clones of cells with reduced levels of echinoid (ed) are fewer, smaller, and can be eliminated during development. In contrast, discs composed mostly of ed mutant tissue are overgrown. We find that ed mutant tissue has lower levels of the anti-apoptotic protein Diap1 and has increased levels of apoptosis which is consistent with the observed underrepresentation of ed mutant clones and the slow growth of ed mutant tissue. The eventual overgrowth of ed mutant tissue results not from accelerated growth, but from prolonged growth resulting from a failure to arrest growth at the appropriate final size. Ed has previously been shown to physically interact with multiple Hippo-pathway components and it has been proposed to promote Hippo pathway signaling, to exclude Yorkie (Yki) from the nucleus, and restrain the expression of Yki-target genes. We did not observe changes in Yki localization in ed mutant tissue and found decreased levels of expression of several Yorkie-target genes, findings inconsistent with the proposed effect of Ed on Yki. We did, however, observe increased expression of several Yki-target genes in wild-type cells neighboring ed mutant cells, which may contribute to elimination of ed mutant clones. Thus, ed has two distinct functions: an anti-apoptotic function by maintaining Diap1 levels, and a function to arrest growth at the appropriate final size. Both of these are unlikely to be explained by a simple effect on the Hippo pathway.
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Affiliation(s)
- Danielle C. Spitzer
- Department of Molecular and Cell Biology, 515 Weill Hall, University of California, Berkeley, Berkeley CA 94720-3200
| | - William Y. Sun
- Department of Molecular and Cell Biology, 515 Weill Hall, University of California, Berkeley, Berkeley CA 94720-3200
| | - Anthony Rodríguez-Vargas
- Department of Molecular and Cell Biology, 515 Weill Hall, University of California, Berkeley, Berkeley CA 94720-3200
| | - Iswar K. Hariharan
- Department of Molecular and Cell Biology, 515 Weill Hall, University of California, Berkeley, Berkeley CA 94720-3200
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Uechi H, Kuranaga E. Underlying mechanisms that ensure actomyosin-mediated directional remodeling of cell-cell contacts for multicellular movement: Tricellular junctions and negative feedback as new aspects underlying actomyosin-mediated directional epithelial morphogenesis: Tricellular junctions and negative feedback as new aspects underlying actomyosin-mediated directional epithelial morphogenesis. Bioessays 2023; 45:e2200211. [PMID: 36929512 DOI: 10.1002/bies.202200211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2022] [Revised: 02/27/2023] [Accepted: 03/01/2023] [Indexed: 03/18/2023]
Abstract
Actomyosin (actin-myosin II complex)-mediated contractile forces are central to the generation of multifaceted uni- and multi-cellular material properties and dynamics such as cell division, migration, and tissue morphogenesis. In the present article, we summarize our recent researches addressing molecular mechanisms that ensure actomyosin-mediated directional cell-cell junction remodeling, either shortening or extension, driving cell rearrangement for epithelial morphogenesis. Genetic perturbation clarified two points concerning cell-cell junction remodeling: an inhibitory mechanism against negative feedback in which actomyosin contractile forces, which are well known to induce cell-cell junction shortening, can concomitantly alter actin dynamics, oppositely leading to perturbation of the shortening; and tricellular junctions as a point that organizes extension of new cell-cell junctions after shortening. These findings highlight the notion that cells develop underpinning mechanisms to transform the multi-tasking property of actomyosin contractile forces into specific and proper cellular dynamics in space and time.
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Affiliation(s)
- Hiroyuki Uechi
- Laboratory for Histogenetic Dynamics, Graduate School of Life Sciences, Tohoku University, Sendai, Japan
| | - Erina Kuranaga
- Laboratory for Histogenetic Dynamics, Graduate School of Life Sciences, Tohoku University, Sendai, Japan
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Bandzerewicz A, Gadomska-Gajadhur A. Into the Tissues: Extracellular Matrix and Its Artificial Substitutes: Cell Signalling Mechanisms. Cells 2022; 11:914. [PMID: 35269536 PMCID: PMC8909573 DOI: 10.3390/cells11050914] [Citation(s) in RCA: 42] [Impact Index Per Article: 21.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2022] [Revised: 03/02/2022] [Accepted: 03/04/2022] [Indexed: 02/06/2023] Open
Abstract
The existence of orderly structures, such as tissues and organs is made possible by cell adhesion, i.e., the process by which cells attach to neighbouring cells and a supporting substance in the form of the extracellular matrix. The extracellular matrix is a three-dimensional structure composed of collagens, elastin, and various proteoglycans and glycoproteins. It is a storehouse for multiple signalling factors. Cells are informed of their correct connection to the matrix via receptors. Tissue disruption often prevents the natural reconstitution of the matrix. The use of appropriate implants is then required. This review is a compilation of crucial information on the structural and functional features of the extracellular matrix and the complex mechanisms of cell-cell connectivity. The possibilities of regenerating damaged tissues using an artificial matrix substitute are described, detailing the host response to the implant. An important issue is the surface properties of such an implant and the possibilities of their modification.
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Exploring Banana phytosterols (Beta-sitosterol) on tight junction protein (claudin) as anti-urolithiasis contributor in Drosophila: A phyto-lithomic approach. INFORMATICS IN MEDICINE UNLOCKED 2022. [DOI: 10.1016/j.imu.2022.100905] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022] Open
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10
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Kotian N, Troike KM, Curran KN, Lathia JD, McDonald JA. A Drosophila RNAi screen reveals conserved glioblastoma-related adhesion genes that regulate collective cell migration. G3 GENES|GENOMES|GENETICS 2022; 12:6388037. [PMID: 34849760 PMCID: PMC8728034 DOI: 10.1093/g3journal/jkab356] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/06/2021] [Accepted: 10/06/2021] [Indexed: 11/14/2022]
Abstract
Abstract
Migrating cell collectives are key to embryonic development but also contribute to invasion and metastasis of a variety of cancers. Cell collectives can invade deep into tissues, leading to tumor progression and resistance to therapies. Collective cell invasion is also observed in the lethal brain tumor glioblastoma (GBM), which infiltrates the surrounding brain parenchyma leading to tumor growth and poor patient outcomes. Drosophila border cells, which migrate as a small cell cluster in the developing ovary, are a well-studied and genetically accessible model used to identify general mechanisms that control collective cell migration within native tissue environments. Most cell collectives remain cohesive through a variety of cell–cell adhesion proteins during their migration through tissues and organs. In this study, we first identified cell adhesion, cell matrix, cell junction, and associated regulatory genes that are expressed in human brain tumors. We performed RNAi knockdown of the Drosophila orthologs in border cells to evaluate if migration and/or cohesion of the cluster was impaired. From this screen, we identified eight adhesion-related genes that disrupted border cell collective migration upon RNAi knockdown. Bioinformatics analyses further demonstrated that subsets of the orthologous genes were elevated in the margin and invasive edge of human GBM patient tumors. These data together show that conserved cell adhesion and adhesion regulatory proteins with potential roles in tumor invasion also modulate collective cell migration. This dual screening approach for adhesion genes linked to GBM and border cell migration thus may reveal conserved mechanisms that drive collective tumor cell invasion.
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Affiliation(s)
- Nirupama Kotian
- Division of Biology, Kansas State University, Manhattan, KS 66506, USA
| | - Katie M Troike
- Department of Cardiovascular and Metabolic Sciences, Lerner Research Institute, Cleveland Clinic, Cleveland, OH 44195, USA
| | - Kristen N Curran
- Division of Biology, Kansas State University, Manhattan, KS 66506, USA
| | - Justin D Lathia
- Department of Cardiovascular and Metabolic Sciences, Lerner Research Institute, Cleveland Clinic, Cleveland, OH 44195, USA
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Campbell K, Noël ES, Fletcher AG, Bulgakova NA. Contemporary morphogenesis. Philos Trans R Soc Lond B Biol Sci 2020; 375:20190549. [DOI: 10.1098/rstb.2019.0549] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Affiliation(s)
- Kyra Campbell
- Bateson Centre, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
- Department of Biomedical Science, Firth Court, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
| | - Emily S. Noël
- Bateson Centre, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
- Department of Biomedical Science, Firth Court, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
| | - Alexander G. Fletcher
- Bateson Centre, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
- School of Mathematics and Statistics, University of Sheffield, Hounsfield Road, Sheffield S3 7RH, UK
| | - Natalia A. Bulgakova
- Bateson Centre, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
- Department of Biomedical Science, Firth Court, University of Sheffield, Western Bank, Sheffield S10 2TN, UK
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