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Guo S, Xu Z, Li X, Yang Z, Feng C, Han R. Robust projection parameter calibration in cryo-ET with L 1-norm optimization. Ultramicroscopy 2025; 274:114134. [PMID: 40328190 DOI: 10.1016/j.ultramic.2025.114134] [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: 11/15/2024] [Revised: 03/10/2025] [Accepted: 03/26/2025] [Indexed: 05/08/2025]
Abstract
Fiducial marker-based alignment in cryo-electron tomography (cryo-ET) has been extensively studied over a long period. The calibration of projection parameters using nonlinear least squares technique methodologies stands as the ultimate and pivotal stage in the alignment procedure. The efficacy of calibration is substantially impacted by noise and outliers in the marker data obtained from previous steps. Several robust fitting methods have been explored and implemented to address this issue by improving marker data or assigning weights to markers. However, these methods have their own limitations and often assume general Gaussian noise assumption, which may not accurately represent the distribution of noise and outliers in the marker data. In this work, we propose a robust projection parameter calibration model based on L1-norm optimization under Laplace noise assumption in order to overcome the limitations of existing methods. To efficiently solve the problem, we also design a faster and stabler first-order non-sparse method based on smooth approximation strategy. Additionally, we introduce subgradient and subdifferential for mathematical analysis. The accuracy, robustness, and efficacy of our approach are demonstrated through both simulated and real-world experiments.
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Affiliation(s)
- Shengkai Guo
- Frontiers Science Center for Nonlinear Expectations (Ministry of Education), Research Center for Mathematics and Interdisciplinary Sciences; Qilu Hospital (Qingdao), Cheeloo College of Medicine, Shandong University, Qingdao 266237, China
| | - Zihe Xu
- Frontiers Science Center for Nonlinear Expectations (Ministry of Education), Research Center for Mathematics and Interdisciplinary Sciences; Qilu Hospital (Qingdao), Cheeloo College of Medicine, Shandong University, Qingdao 266237, China
| | - Xinyan Li
- Frontiers Science Center for Nonlinear Expectations (Ministry of Education), Research Center for Mathematics and Interdisciplinary Sciences; Qilu Hospital (Qingdao), Cheeloo College of Medicine, Shandong University, Qingdao 266237, China
| | - Zhidong Yang
- High Performance Computer Research Center, Institute of Computing Technology, CAS, Beijing 100190, China
| | - Chenjie Feng
- College of Medical Information and Engineering, Ningxia Medical University, Yinchuan 750004, China.
| | - Renmin Han
- Frontiers Science Center for Nonlinear Expectations (Ministry of Education), Research Center for Mathematics and Interdisciplinary Sciences; Qilu Hospital (Qingdao), Cheeloo College of Medicine, Shandong University, Qingdao 266237, China.
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Navarro PP, Vettiger A, Hajdu R, Ananda VY, López-Tavares A, Schmid EW, Walter JC, Loose M, Chao LH, Bernhardt TG. The aPBP-type cell wall synthase PBP1b plays a specialized role in fortifying the Escherichia coli division site against osmotic rupture. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2025:2025.04.02.646830. [PMID: 40236067 PMCID: PMC11996507 DOI: 10.1101/2025.04.02.646830] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Subscribe] [Scholar Register] [Indexed: 04/17/2025]
Abstract
A multi-protein system called the divisome promotes bacterial division. This apparatus synthesizes the peptidoglycan (PG) cell wall layer that forms the daughter cell poles and protects them from osmotic lysis. In the model Gram-negative bacterium Escherichia coli , PG synthases called class A penicillin-binding proteins (aPBPs) have been proposed to play crucial roles in division. However, there is limited experimental support for aPBPs playing a specialized role in division that is distinct from their general function in the expansion and fortification of the PG matrix. Here, we present in situ cryogenic electron tomography data indicating that the aPBP-type enzyme PBP1b is required to produce a wedge-like density of PG at the division site. Furthermore, atomic force and live cell microscopy showed that loss of this structure weakens the division site and renders it susceptible to lysis. Surprisingly, we found that the lipoprotein activator LpoB needed to promote the general function of PBP1b was not required for normal division site architecture or its integrity. Additionally, we show that of the two PBP1b isoforms produced in cells, it is the one with an extended cytoplasmic N-terminus that functions in division, likely via recruitment by the FtsA component of the divisome. Altogether, our results demonstrate that PBP1b plays a specialized, LpoB-independent role in E. coli cell division involving the biogenesis of a PG structure that prevents osmotic rupture. The conservation of aPBPs with extended cytoplasmic N-termini suggests that other Gram-negative bacteria may use similar mechanisms to reinforce their division site.
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de Isidro-Gómez FP, Vilas JL, Carazo JM, Sorzano COS. Automatic detection of alignment errors in cryo-electron tomography. J Struct Biol 2025; 217:108153. [PMID: 39694451 DOI: 10.1016/j.jsb.2024.108153] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2024] [Revised: 11/25/2024] [Accepted: 12/02/2024] [Indexed: 12/20/2024]
Abstract
Cryo-electron tomography is an imaging technique that allows the study of the three-dimensional structure of a wide range of biological samples, from entire cellular environments to purified specimens. This technique collects a series of images from different views of the specimen by tilting the sample stage in the microscope. Subsequently, this information is combined into a three-dimensional reconstruction. To obtain reliable representations of the specimen of study, it is mandatory to define the acquisition geometry accurately. This is achieved by aligning all tilt images to a standard reference scheme. Errors in this step introduce artifacts into the final reconstructed tomograms, leading to loss of resolution and making them unsuitable for detailed sample analysis. This publication presents algorithms for automatically assessing the alignment quality of the tilt series and their classification based on the residual errors provided by the alignment algorithms. If no alignment information is available, a set of algorithms for calculating the residual vectors focused on fiducial markers is also presented. This software is accessible as part of the Xmipp software package and the Scipion framework.
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Affiliation(s)
- F P de Isidro-Gómez
- Biocomputing Unit, Centro Nacional de Biotecnologia (CNB-CSIC), Darwin, 3, Campus Universidad Autonoma, 28049 Cantoblanco, Madrid, Spain; University Autonoma de Madrid, 28049 Cantoblanco, Madrid, Spain
| | - J L Vilas
- Biocomputing Unit, Centro Nacional de Biotecnologia (CNB-CSIC), Darwin, 3, Campus Universidad Autonoma, 28049 Cantoblanco, Madrid, Spain
| | - J M Carazo
- Biocomputing Unit, Centro Nacional de Biotecnologia (CNB-CSIC), Darwin, 3, Campus Universidad Autonoma, 28049 Cantoblanco, Madrid, Spain
| | - C O S Sorzano
- Biocomputing Unit, Centro Nacional de Biotecnologia (CNB-CSIC), Darwin, 3, Campus Universidad Autonoma, 28049 Cantoblanco, Madrid, Spain.
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Introini B, Cui W, Chu X, Zhang Y, Alves AC, Eckhardt-Strelau L, Golusik S, Tol M, Vogel H, Yuan S, Kudryashev M. Structure of tetrameric forms of the serotonin-gated 5-HT3 A receptor ion channel. EMBO J 2024; 43:4451-4471. [PMID: 39232129 PMCID: PMC11480441 DOI: 10.1038/s44318-024-00191-5] [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: 03/19/2024] [Revised: 06/16/2024] [Accepted: 07/15/2024] [Indexed: 09/06/2024] Open
Abstract
Multimeric membrane proteins are produced in the endoplasmic reticulum and transported to their target membranes which, for ion channels, is typically the plasma membrane. Despite the availability of many fully assembled channel structures, our understanding of assembly intermediates, multimer assembly mechanisms, and potential functions of non-standard assemblies is limited. We demonstrate that the pentameric ligand-gated serotonin 5-HT3A receptor (5-HT3AR) can assemble to tetrameric forms and report the structures of the tetramers in plasma membranes of cell-derived microvesicles and in membrane memetics using cryo-electron microscopy and tomography. The tetrameric structures have near-symmetric transmembrane domains, and asymmetric extracellular domains, and can bind serotonin molecules. Computer simulations, based on our cryo-EM structures, were used to decipher the assembly pathway of pentameric 5-HT3R and suggest a potential functional role for the tetrameric receptors.
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Affiliation(s)
- Bianca Introini
- Max Planck Institute of Biophysics, Frankfurt am Main, Germany
- Buchmann Institute for Molecular Life Sciences (BMLS), Goethe University of Frankfurt am Main, Frankfurt on Main, Germany
| | - Wenqiang Cui
- The Research Center for Computer-aided Drug Discovery, Institute of Biomedicine and Biotechnology, The Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, 518055, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Xiaofeng Chu
- Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association (MDC), In Situ Structural Biology, Robert-Rössle-Str. 10, 13125, Berlin, Germany
| | - Yingyi Zhang
- Max Planck Institute of Biophysics, Frankfurt am Main, Germany
- Buchmann Institute for Molecular Life Sciences (BMLS), Goethe University of Frankfurt am Main, Frankfurt on Main, Germany
| | - Ana Catarina Alves
- Institute of Chemical Sciences and Engineering (ISIC), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
| | | | - Sabrina Golusik
- Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association (MDC), In Situ Structural Biology, Robert-Rössle-Str. 10, 13125, Berlin, Germany
| | - Menno Tol
- Institute of Chemical Sciences and Engineering (ISIC), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
| | - Horst Vogel
- The Research Center for Computer-aided Drug Discovery, Institute of Biomedicine and Biotechnology, The Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, 518055, China.
- Institute of Chemical Sciences and Engineering (ISIC), Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.
- Faculty of Pharmaceutical Sciences, Shenzhen University of Advanced Technology (SUAT), Shenzhen, China.
| | - Shuguang Yuan
- The Research Center for Computer-aided Drug Discovery, Institute of Biomedicine and Biotechnology, The Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, 518055, China.
- AlphaMol Science Ltd, Shenzhen, 518055, China.
| | - Mikhail Kudryashev
- Max Planck Institute of Biophysics, Frankfurt am Main, Germany.
- Buchmann Institute for Molecular Life Sciences (BMLS), Goethe University of Frankfurt am Main, Frankfurt on Main, Germany.
- Max-Delbrück-Center for Molecular Medicine in the Helmholtz Association (MDC), In Situ Structural Biology, Robert-Rössle-Str. 10, 13125, Berlin, Germany.
- Institute of Medical Physics and Biophysics, Charité-Universitätsmedizin, Berlin, Germany.
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