1
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J LAA, Pa P, Seng CY, Rhee JH, Lee SE. Protein nanocages: A new frontier in mucosal vaccine delivery and immune activation. Hum Vaccin Immunother 2025; 21:2492906. [PMID: 40353600 PMCID: PMC12077460 DOI: 10.1080/21645515.2025.2492906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/04/2025] [Revised: 03/15/2025] [Accepted: 04/09/2025] [Indexed: 05/14/2025] Open
Abstract
Mucosal infectious diseases represent a significant global health burden, impacting millions of people worldwide through pathogens that invade the respiratory, gastrointestinal, and urogenital tracts. Mucosal vaccines provide a promising strategy to combat these diseases by preventing pathogens from entering through the portals as well as within the systemic response compartment. However, challenges such as antigen instability, inefficient delivery, suboptimal immune activation, and the complex biology of mucosal barriers hinder their development. These limitations require integrating specialized adjuvants and delivery systems. Protein nanocages, self-assembling nanoscale structures that can be engineered, may provide an innovative solution for co-delivering antigens and adjuvants. With their remarkable stability, biocompatibility, and design versatility, protein nanocages can potentially overcome existing challenges in mucosal vaccine delivery and enhance protective immune responses. This review highlights the potential of protein nanocages to revolutionize mucosal vaccine development by addressing these challenges.
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Affiliation(s)
- Lavanya Agnes Angalene J
- Department of Biomedical Sciences, Chonnam National University, Hwasun-gun, Republic of Korea
- Combinatorial Tumor Immunotherapy MRC, Chonnam National University Medical School, Hwasun-gun, Jeonnam, Republic of Korea
- National Immunotherapy Innovation Center, Hwasun-gun, Jeonnam, Republic of Korea
- Clinical Vaccine R&D Center, Chonnam National University, Hwasun-gun, Republic of Korea
| | - Paopachapich Pa
- Department of Biomedical Sciences, Chonnam National University, Hwasun-gun, Republic of Korea
- Combinatorial Tumor Immunotherapy MRC, Chonnam National University Medical School, Hwasun-gun, Jeonnam, Republic of Korea
- National Immunotherapy Innovation Center, Hwasun-gun, Jeonnam, Republic of Korea
- Clinical Vaccine R&D Center, Chonnam National University, Hwasun-gun, Republic of Korea
| | - Chheng Y Seng
- Department of Biomedical Sciences, Chonnam National University, Hwasun-gun, Republic of Korea
- Combinatorial Tumor Immunotherapy MRC, Chonnam National University Medical School, Hwasun-gun, Jeonnam, Republic of Korea
- National Immunotherapy Innovation Center, Hwasun-gun, Jeonnam, Republic of Korea
- Clinical Vaccine R&D Center, Chonnam National University, Hwasun-gun, Republic of Korea
| | - Joon Haeng Rhee
- Combinatorial Tumor Immunotherapy MRC, Chonnam National University Medical School, Hwasun-gun, Jeonnam, Republic of Korea
- National Immunotherapy Innovation Center, Hwasun-gun, Jeonnam, Republic of Korea
- Clinical Vaccine R&D Center, Chonnam National University, Hwasun-gun, Republic of Korea
- Department of Microbiology, Chonnam National University Medical School, Hwasun-gun, Republic of Korea
| | - Shee Eun Lee
- National Immunotherapy Innovation Center, Hwasun-gun, Jeonnam, Republic of Korea
- Clinical Vaccine R&D Center, Chonnam National University, Hwasun-gun, Republic of Korea
- Department of Pharmacology and Dental Therapeutics, School of Dentistry, Chonnam National University, Gwangju, Republic of Korea
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2
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Jang YE, Huh J, Choi Y, Kim Y, Lee J. Terminal Tryptophan-Directed Anisotropic Self-Assembly for Precise Protein Nanostructure Regulation. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2024:e2408977. [PMID: 39686804 DOI: 10.1002/smll.202408977] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/01/2024] [Revised: 11/24/2024] [Indexed: 12/18/2024]
Abstract
A common challenge in nanotechnology is synthesizing nanomaterials with well-defined structures. In particular, it remains a major unresolved challenge to precisely regulate the structure and function of protein nanomaterials, which are structurally diverse, highly ordered, and complex and offer an innovative means that enables a high performance in various nanodevices, which is rarely achievable with other nanomaterials. Here an innovative approach is proposed to fabricating multi-dimensional (0- to 3D) protein nanostructures with functional and structural specialties via molecular-level regulation. This approach is based on a stable, consistent, anisotropic self-assembly of Tobacco mosaic virus (TMV) coat protein-derived engineered building blocks where genetically added tryptophan residues are externally tailored. The unique structural characteristics of each nanostructure above are demonstrated in detail through various analyses (electron microscopy, atomic force microscopy, dynamic light scattering, and small-angle X-ray scattering) and further investigated through molecular dynamics simulations, indicating that this control, anisotropic, and molecular assembly-based approach to regulating protein nanostructures holds great potential for customizing a variety of nanomaterials with unique functions and structures.
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Affiliation(s)
- Young Eun Jang
- Department of Chemical and Biological Engineering, Korea University, Anam-Dong 5-1, Seongbuk-Gu, Seoul, 02841, Republic of Korea
| | - June Huh
- Department of Chemical and Biological Engineering, Korea University, Anam-Dong 5-1, Seongbuk-Gu, Seoul, 02841, Republic of Korea
| | - Yoobin Choi
- Department of Chemical and Biological Engineering, Korea University, Anam-Dong 5-1, Seongbuk-Gu, Seoul, 02841, Republic of Korea
| | - Yusik Kim
- Department of Chemical and Biological Engineering, Korea University, Anam-Dong 5-1, Seongbuk-Gu, Seoul, 02841, Republic of Korea
| | - Jeewon Lee
- Department of Chemical and Biological Engineering, Korea University, Anam-Dong 5-1, Seongbuk-Gu, Seoul, 02841, Republic of Korea
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3
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Zhou Y, Shaukat A, Seitsonen J, Rigoni C, Timonen JVI, Kostiainen MA. Protein Cage Directed Assembly of Binary Nanoparticle Superlattices. ADVANCED SCIENCE (WEINHEIM, BADEN-WURTTEMBERG, GERMANY) 2024; 11:e2408416. [PMID: 39401426 PMCID: PMC11615748 DOI: 10.1002/advs.202408416] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/2024] [Revised: 09/20/2024] [Indexed: 12/06/2024]
Abstract
Inorganic nanoparticles can be assembled into superlattices with unique optical and magnetic properties arising from collective behavior. Protein cages can be utilized to guide this assembly by encapsulating nanoparticles and promoting their assembly into ordered structures. However, creating ordered multi-component structures with different protein cage types and sizes remains a challenge. Here, the co-crystallization of two different protein cages (cowpea chlorotic mottle virus and ferritin) characterized by opposing surface charges and unequal diameter is shown. Precise tuning of the electrostatic attraction between the cages enabled the preparation of binary crystals with dimensions up to several tens of micrometers. Additionally, binary metal nanoparticle superlattices are achieved by loading gold and iron oxide nanoparticles inside the cavities of the protein cages. The resulting structure adopts an AB2 FCC configuration that also impacts the dipolar coupling between the particles and hence the optical properties of the crystals, providing key insight for the future preparation of plasmonic and magnetic nanoparticle metamaterials.
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Affiliation(s)
- Yu Zhou
- Biohybrid MaterialsDepartment of Bioproducts and BiosystemsAalto UniversityAalto00076Finland
| | - Ahmed Shaukat
- Biohybrid MaterialsDepartment of Bioproducts and BiosystemsAalto UniversityAalto00076Finland
- School of Biological and Biomedical SciencesDurham UniversityDurhamDH13LEUK
| | | | - Carlo Rigoni
- Department of Applied PhysicsAalto University School of ScienceAalto UniversityAalto00076Finland
- Institute of Science and Technology AustriaAm Campus 1Klosterneuburg3400Austria
| | - Jaakko V. I. Timonen
- Department of Applied PhysicsAalto University School of ScienceAalto UniversityAalto00076Finland
| | - Mauri A. Kostiainen
- Biohybrid MaterialsDepartment of Bioproducts and BiosystemsAalto UniversityAalto00076Finland
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4
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Noble JE, Hsiao YW, Kepiro IE, De Santis E, Hoose A, Augagneur C, Lamarre B, Briones A, Hammond K, Bray DJ, Crain J, Ryadnov MG. A Nonlinear Peptide Topology for Synthetic Virions. ACS NANO 2024; 18:29956-29967. [PMID: 39402499 DOI: 10.1021/acsnano.4c10662] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/30/2024]
Abstract
a nonlinear de novo peptide topology for the assembly of synthetic virions is reported. The topology is a backbone cyclized amino-acid sequence in which polar l- and hydrophobic d-amino acid residues of the same-type alternate. This arrangement introduces pseudo C4 symmetries of side chains within the same cyclopeptide ring, allowing for the lateral propagation of cyclopeptides into networks with a [3/6, 4]-fold rotational symmetry closing into virus-like shells. A combination of computational and experimental approaches was used to establish that the topology forms morphologically uniform, nonaggregating and nontoxic nanoscale shells. These effectively encapsulate genetic cargo and promote its intracellular delivery and a target genetic response. The design introduces a nanotechnology inspired solution for engineering virus-like systems thereby expanding traditional molecular biology approaches used to create artificial biology to chemical space.
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Affiliation(s)
- James E Noble
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
| | - Ya-Wen Hsiao
- The Hartree Centre, STFC Daresbury Laboratory, Warrington WA4 4AD, U.K
| | - Ibolya E Kepiro
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
| | | | - Alex Hoose
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
| | | | | | - Andrea Briones
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
| | - Katharine Hammond
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
| | - David J Bray
- The Hartree Centre, STFC Daresbury Laboratory, Warrington WA4 4AD, U.K
| | - Jason Crain
- IBM Research Europe, Hartree Centre, Daresbury WA4 4AD, U.K
- Department of Biochemistry, University of Oxford, Oxford OX1 3QU, U.K
| | - Maxim G Ryadnov
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, U.K
- Department of Physics, King's College London, Strand Lane, London WC2R 2LS, U.K
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5
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Stupka I, Biela AP, Piette B, Kowalczyk A, Majsterkiewicz K, Borzęcka-Solarz K, Naskalska A, Heddle JG. An artificial protein cage made from a 12-membered ring. J Mater Chem B 2024; 12:436-447. [PMID: 38088805 DOI: 10.1039/d3tb01659e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2024]
Abstract
Artificial protein cages have great potential in diverse fields including as vaccines and drug delivery vehicles. TRAP-cage is an artificial protein cage notable for the way in which the interface between its ring-shaped building blocks can be modified such that the conditions under which cages disassemble can be controlled. To date, TRAP-cages have been constructed from homo-11mer rings, i.e., hendecamers. This is interesting as convex polyhedra with identical regular faces cannot be formed from hendecamers. TRAP-cage overcomes this limitation due to intrinsic flexibility, allowing slight deformation to absorb any error. The resulting TRAP-cage made from 24 TRAP 11mer rings is very close to regular with only very small errors necessary to allow the cage to form. The question arises as to the limits of the error that can be absorbed by a protein structure in this way before the formation of an apparently regular convex polyhedral becomes impossible. Here we use a naturally occurring TRAP variant consisting of twelve identical monomers (i.e., a dodecamer) to probe these limits. We show that it is able to form an apparently regular protein cage consisting of twelve TRAP rings. Comparison of the cryo-EM structure of the new cage with theoretical models and related cages gives insight into the rules of cage formation and allows us to predict other cages that may be formed given TRAP-rings consisting of different numbers of monomers.
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Affiliation(s)
- Izabela Stupka
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
- Postgraduate School of Molecular Medicine, Warsaw, Poland
| | - Artur P Biela
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
- Institute of Zoology and Biomedical Research, Jagiellonian University, Krakow, Poland
| | - Bernard Piette
- Department of Mathematical Sciences, Durham University, Durham, UK
| | - Agnieszka Kowalczyk
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
- Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
| | - Karolina Majsterkiewicz
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
- Postgraduate School of Molecular Medicine, Warsaw, Poland
| | | | - Antonina Naskalska
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
| | - Jonathan G Heddle
- Malopolska Centre of Biotechnology, Jagiellonian University, Krakow, Poland.
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6
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Fatehi F, Twarock R. An interaction network approach predicts protein cage architectures in bionanotechnology. Proc Natl Acad Sci U S A 2023; 120:e2303580120. [PMID: 38060565 PMCID: PMC10723117 DOI: 10.1073/pnas.2303580120] [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: 03/02/2023] [Accepted: 10/21/2023] [Indexed: 12/17/2023] Open
Abstract
Protein nanoparticles play pivotal roles in many areas of bionanotechnology, including drug delivery, vaccination, and diagnostics. These technologies require control over the distinct particle morphologies that protein nanocontainers can adopt during self-assembly from their constituent protein components. The geometric construction principle of virus-derived protein cages is by now fairly well understood by analogy to viral protein shells in terms of Caspar and Klug's quasi-equivalence principle. However, many artificial, or genetically modified, protein containers exhibit varying degrees of quasi-equivalence in the interactions between identical protein subunits. They can also contain a subset of protein subunits that do not participate in interactions with other assembly units, called capsomers, leading to gaps in the particle surface. We introduce a method that exploits information on the local interactions between the capsomers to infer the geometric construction principle of these nanoparticle architectures. The predictive power of this approach is demonstrated here for a prominent system in nanotechnology, the AaLS pentamer. Our method not only rationalises hitherto discovered cage structures but also predicts geometrically viable options that have not yet been observed. The classification of nanoparticle architecture based on the geometric properties of the interaction network closes a gap in our current understanding of protein container structure and can be widely applied in protein nanotechnology, paving the way to programmable control over particle polymorphism.
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Affiliation(s)
- Farzad Fatehi
- Departments of Mathematics, University of York, YorkYO10 5DD, United Kingdom
| | - Reidun Twarock
- Departments of Mathematics, University of York, YorkYO10 5DD, United Kingdom
- Department of Biology, University of York, YorkYO10 5DD, United Kingdom
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7
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João J, Prazeres DMF. Manufacturing of non-viral protein nanocages for biotechnological and biomedical applications. Front Bioeng Biotechnol 2023; 11:1200729. [PMID: 37520292 PMCID: PMC10374429 DOI: 10.3389/fbioe.2023.1200729] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2023] [Accepted: 07/05/2023] [Indexed: 08/01/2023] Open
Abstract
Protein nanocages are highly ordered nanometer scale architectures, which are typically formed by homo- or hetero-self-assembly of multiple monomers into symmetric structures of different size and shape. The intrinsic characteristics of protein nanocages make them very attractive and promising as a biological nanomaterial. These include, among others, a high surface/volume ratio, multi-functionality, ease to modify or manipulate genetically or chemically, high stability, mono-dispersity, and biocompatibility. Since the beginning of the investigation into protein nanocages, several applications were conceived in a variety of areas such as drug delivery, vaccine development, bioimaging, biomineralization, nanomaterial synthesis and biocatalysis. The ability to generate large amounts of pure and well-folded protein assemblies is one of the keys to transform nanocages into clinically valuable products and move biomedical applications forward. This calls for the development of more efficient biomanufacturing processes and for the setting up of analytical techniques adequate for the quality control and characterization of the biological function and structure of nanocages. This review concisely covers and overviews the progress made since the emergence of protein nanocages as a new, next-generation class of biologics. A brief outline of non-viral protein nanocages is followed by a presentation of their main applications in the areas of bioengineering, biotechnology, and biomedicine. Afterwards, we focus on a description of the current processes used in the manufacturing of protein nanocages with particular emphasis on the most relevant aspects of production and purification. The state-of-the-art on current characterization techniques is then described and future alternative or complementary approaches in development are also discussed. Finally, a critical analysis of the limitations and drawbacks of the current manufacturing strategies is presented, alongside with the identification of the major challenges and bottlenecks.
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Affiliation(s)
- Jorge João
- iBB–Institute for Bioengineering and Biosciences, Department of Bioengineering, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
- Associate Laboratory i4HB–Institute for Health and Bioeconomy at Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
| | - Duarte Miguel F. Prazeres
- iBB–Institute for Bioengineering and Biosciences, Department of Bioengineering, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
- Associate Laboratory i4HB–Institute for Health and Bioeconomy at Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
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8
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Near-Miss Symmetric Polyhedral Cages. Symmetry (Basel) 2023. [DOI: 10.3390/sym15030717] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/15/2023] Open
Abstract
Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible configurations and we minimize the irregularity of the P-gons numerically to construct all such polyhedral cages for P=6 to P=20 with deformation of up to 10%.
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Himiyama T, Hamaguchi T, Yonekura K, Nakamura T. Unnaturally Distorted Hexagonal Protein Ring Alternatingly Reorganized from Two Distinct Chemically Modified Proteins. Bioconjug Chem 2023. [PMID: 36888722 DOI: 10.1021/acs.bioconjchem.3c00057] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/10/2023]
Abstract
In this study, we constructed a semiartificial protein assembly of alternating ring type, which was modified from the natural assembly state via incorporation of a synthetic component at the protein interface. For the redesign of a natural protein assembly, a scrap-and-build approach employing chemical modification was used. Two different protein dimer units were designed based on peroxiredoxin from Thermococcus kodakaraensis, which originally forms a dodecameric hexagonal ring with six homodimers. The two dimeric mutants were reorganized into a ring by reconstructing the protein-protein interactions via synthetic naphthalene moieties introduced by chemical modification. Cryo-electron microscopy revealed the formation of a uniquely shaped dodecameric hexagonal protein ring with broken symmetry, distorted from the regular hexagon of the wild-type protein. The artificially installed naphthalene moieties were arranged at the interfaces of dimer units, forming two distinct protein-protein interactions, one of which is highly unnatural. This study deciphered the potential of the chemical modification technique that constructs semiartificial protein structures and assembly hardly accessible by conventional amino acid mutations.
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Affiliation(s)
- Tomoki Himiyama
- Biomedical Research Institute, National Institute of Advanced Industrial Science and Technology, 1-8-31, Ikeda, Osaka 563-8577, Japan
| | - Tasuku Hamaguchi
- Biostructural Mechanism Laboratory, RIKEN SPring-8 Center, 1-1-1, Sayo, Hyogo 679-5148, Japan
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, 2-1-1 Katahira, Sendai, Miyagi 980-8577, Japan
| | - Koji Yonekura
- Biostructural Mechanism Laboratory, RIKEN SPring-8 Center, 1-1-1, Sayo, Hyogo 679-5148, Japan
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, 2-1-1 Katahira, Sendai, Miyagi 980-8577, Japan
- Advanced Electron Microscope Development Unit, RIKEN-JEOL Collaboration Center, RIKEN Baton Zone Program, 1-1-1, Sayo, Hyogo 679-5148, Japan
| | - Tsutomu Nakamura
- Biomedical Research Institute, National Institute of Advanced Industrial Science and Technology, 1-8-31, Ikeda, Osaka 563-8577, Japan
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Sharma M, Biela AP, Kowalczyk A, Borzęcka-Solarz K, Piette BMAG, Gaweł S, Bishop J, Kukura P, Benesch JLP, Imamura M, Scheuring S, Heddle JG. Shape-Morphing of an Artificial Protein Cage with Unusual Geometry Induced by a Single Amino Acid Change. ACS NANOSCIENCE AU 2022; 2:404-413. [PMID: 36281256 PMCID: PMC9585630 DOI: 10.1021/acsnanoscienceau.2c00019] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
Abstract
![]()
Artificial protein
cages are constructed from multiple protein
subunits. The interaction between the subunits, notably the angle
formed between them, controls the geometry of the resulting cage.
Here, using the artificial protein cage, “TRAP-cage”,
we show that a simple alteration in the position of a single amino
acid responsible for Au(I)-mediated subunit–subunit interactions
in the constituent ring-shaped building blocks results in a more acute
dihedral angle between them. In turn, this causes a dramatic shift
in the structure from a 24-ring cage with an octahedral symmetry to
a 20-ring cage with a C2 symmetry. This symmetry change is accompanied
by a decrease in the number of Au(I)-mediated bonds between cysteines
and a concomitant change in biophysical properties of the cage.
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Affiliation(s)
- Mohit Sharma
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
- School of Molecular Medicine, Medical University of Warsaw, Warsaw 02-091, Poland
| | - Artur P. Biela
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
| | - Agnieszka Kowalczyk
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
- Faculty of Mathematics and Computer Science, Jagiellonian University, Kraków 30-348, Poland
| | - Kinga Borzęcka-Solarz
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
| | | | - Szymon Gaweł
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
| | - Joshua Bishop
- Department of Chemistry, University of Oxford, Oxford OX1 3TA, U.K
- Kavli Institute for Nanoscience Discovery, University of Oxford, Oxford OX1 3QU, U.K
| | - Philipp Kukura
- Department of Chemistry, University of Oxford, Oxford OX1 3TA, U.K
- Kavli Institute for Nanoscience Discovery, University of Oxford, Oxford OX1 3QU, U.K
| | - Justin L. P. Benesch
- Department of Chemistry, University of Oxford, Oxford OX1 3TA, U.K
- Kavli Institute for Nanoscience Discovery, University of Oxford, Oxford OX1 3QU, U.K
| | - Motonori Imamura
- Department of Anesthesiology, Weill Cornell Medicine, New York City, New York 10065, United States
- Department of Physiology and Biophysics, Weill Cornell Medicine, New York City, New York 10065, United States
| | - Simon Scheuring
- Department of Anesthesiology, Weill Cornell Medicine, New York City, New York 10065, United States
- Department of Physiology and Biophysics, Weill Cornell Medicine, New York City, New York 10065, United States
| | - Jonathan G. Heddle
- Malopolska Center of Biotechnology, Jagiellonian University, Gronostajowa 7A, Kraków 30-387, Poland
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11
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Piette BMAG, Kowalczyk A, Heddle JG. Characterization of near-miss connectivity-invariant homogeneous convex polyhedral cages. Proc Math Phys Eng Sci 2022; 478:20210679. [PMID: 35450023 PMCID: PMC8984814 DOI: 10.1098/rspa.2021.0679] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2021] [Accepted: 02/28/2022] [Indexed: 11/24/2022] Open
Abstract
Following the discovery of a nearly symmetric protein cage, we introduce the new mathematical concept of a near-miss polyhedral cage (p-cage) as an assembly of nearly regular polygons with holes between them. We then introduce the concept of the connectivity-invariant p-cage and show that they are related to the symmetry of uniform polyhedra. We use this relation, combined with a numerical optimization method, to characterize some classes of near-miss connectivity-invariant p-cages with a deformation below 10% and faces with up to 17 edges.
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Affiliation(s)
| | - Agnieszka Kowalczyk
- Malopolska Centre of Biotechnology, Jagiellonian University, Gronostajowa 7A, Krakow 30-387, Poland
- Faculty of Mathematics and Computer Science, Jagiellonian University, Lojasiewicza 6, Krakow 30-348, Poland
| | - Jonathan G. Heddle
- Malopolska Centre of Biotechnology, Jagiellonian University, Gronostajowa 7A, Krakow 30-387, Poland
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