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Alpízar-Pedraza D, Roque-Diaz Y, Garay-Pérez H, Rosenau F, Ständker L, Montero-Alejo V. Insights into the Adsorption Mechanisms of the Antimicrobial Peptide CIDEM-501 on Membrane Models. Antibiotics (Basel) 2024; 13:167. [PMID: 38391553 PMCID: PMC10886324 DOI: 10.3390/antibiotics13020167] [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: 12/31/2023] [Revised: 02/02/2024] [Accepted: 02/05/2024] [Indexed: 02/24/2024] Open
Abstract
CIDEM-501 is a hybrid antimicrobial peptide rationally designed based on the structure of panusin and panulirin template peptides. The new peptide exhibits significant antibacterial activity against multidrug-resistant pathogens (MIC = 2-4 μM) while conserving no toxicity in human cell lines. We conducted molecular dynamics (MD) simulations using the CHARMM-36 force field to explore the CIDEM-501 adsorption mechanism with different membrane compositions. Several parameters that characterize these interactions were analyzed to elucidate individual residues' structural and thermodynamic contributions. The membrane models were constructed using CHARMM-GUI, mimicking the bacterial and eukaryotic phospholipid compositions. Molecular dynamics simulations were conducted over 500 ns, showing rapid and highly stable peptide adsorption to bacterial lipids components rather than the zwitterionic eucaryotic model membrane. A predominant peptide orientation was observed in all models dominated by an electric dipole. The peptide remained parallel to the membrane surface with the center loop oriented to the lipids. Our findings shed light on the antibacterial activity of CIDEM-501 on bacterial membranes and yield insights valuable for designing potent antimicrobial peptides targeting multi- and extreme drug-resistant bacteria.
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Affiliation(s)
- Daniel Alpízar-Pedraza
- Biochemistry and Molecular Biology Department, Center for Pharmaceutical Research and Development, Ave. 26 # 1605, Nuevo Vedado, Ciudad de La Habana 10400, Cuba
| | - Yessica Roque-Diaz
- Biochemistry and Molecular Biology Department, Center for Pharmaceutical Research and Development, Ave. 26 # 1605, Nuevo Vedado, Ciudad de La Habana 10400, Cuba
- Department of Life and Environmental Sciences, Polytechnic University of Marche, Via Brecce Bianche, 12, 60131 Ancona, Italy
| | - Hilda Garay-Pérez
- Peptide Synthesis Group, Center for Genetic Engineering and Biotechnology, Ave. 31 e/158 y 190, Playa, Habana 11600, Cuba
| | - Frank Rosenau
- Institute of Pharmaceutical Biotechnology, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Ludger Ständker
- Core Facility for Functional Peptidomics, Ulm Peptide Pharmaceuticals (U-PEP), Faculty of Medicine, Ulm University, 89081 Ulm, Germany
| | - Vivian Montero-Alejo
- Biochemistry and Molecular Biology Department, Center for Pharmaceutical Research and Development, Ave. 26 # 1605, Nuevo Vedado, Ciudad de La Habana 10400, Cuba
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2
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Vaz DC, Rodrigues JR, Loureiro-Ferreira N, Müller TD, Sebald W, Redfield C, Brito RMM. Lessons on protein structure from interleukin-4: All disulfides are not created equal. Proteins 2024; 92:219-235. [PMID: 37814578 DOI: 10.1002/prot.26611] [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: 03/01/2023] [Revised: 09/09/2023] [Accepted: 09/25/2023] [Indexed: 10/11/2023]
Abstract
Interleukin-4 (IL-4) is a hematopoietic cytokine composed by a four-helix bundle stabilized by an antiparallel beta-sheet and three disulfide bonds: Cys3-Cys127, Cys24-Cys65, and Cys46-Cys99. IL-4 is involved in several immune responses associated to infection, allergy, autoimmunity, and cancer. Besides its physiological relevance, IL-4 is often used as a "model" for protein design and engineering. Hence, to understand the role of each disulfide in the structure and dynamics of IL-4, we carried out several spectroscopic analyses (circular dichroism [CD], fluorescence, nuclear magnetic resonance [NMR]), and molecular dynamics (MD) simulations on wild-type IL-4 and four IL-4 disulfide mutants. All disulfide mutants showed loss of structure, altered interhelical angles, and looser core packings, showing that all disulfides are relevant for maintaining the overall fold and stability of the four-helix bundle motif, even at very low pH. In the absence of the disulfide connecting both protein termini Cys3-Cys127, C3T-IL4 showed a less packed protein core, loss of secondary structure (~9%) and fast motions on the sub-nanosecond time scale (lower S2 order parameters and larger τc correlation time), especially at the two protein termini, loops, beginning of helix A and end of helix D. In the absence of Cys24-Cys65, C24T-IL4 presented shorter alpha-helices (14% loss in helical content), altered interhelical angles, less propensity to form the small anti-parallel beta-sheet and increased dynamics. Simultaneously deprived of two disulfides (Cys3-Cys127 and Cys24-Cys65), IL-4 formed a partially folded "molten globule" with high 8-anilino-1-naphtalenesulphonic acid-binding affinity and considerable loss of secondary structure (~50%decrease), as shown by the far UV-CD, NMR, and MD data.
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Affiliation(s)
- Daniela C Vaz
- School of Health Sciences, Polytechnic of Leiria, Leiria, Portugal
- Chemistry Department, Faculty of Sciences and Technology, University of Coimbra, Coimbra Chemistry Centre, Institute of Molecular Sciences, Coimbra, Portugal
- Laboratory of Separation and Reaction Engineering-Laboratory of Catalysis and Materials (LSRE-LCM), School of Technology and Management, Polytechnic of Leiria, Leiria, Portugal
- Associate Laboratory in Chemical Engineering (ALiCE), University of Porto, Porto, Portugal
| | - J Rui Rodrigues
- Laboratory of Separation and Reaction Engineering-Laboratory of Catalysis and Materials (LSRE-LCM), School of Technology and Management, Polytechnic of Leiria, Leiria, Portugal
- Associate Laboratory in Chemical Engineering (ALiCE), University of Porto, Porto, Portugal
| | | | - Thomas D Müller
- Department of Molecular Plant Physiology and Biophysics, Julius-von-Sachs-Institute, University of Würzburg, Würzburg, Germany
| | - Walter Sebald
- Department of Physiological Chemistry II, Theodor-Boveri-Institute (Biocentre), University of Würzburg, Würzburg, Germany
| | - Christina Redfield
- Department of Biochemistry, University of Oxford, Oxford, United Kingdom
| | - Rui M M Brito
- Chemistry Department, Faculty of Sciences and Technology, University of Coimbra, Coimbra Chemistry Centre, Institute of Molecular Sciences, Coimbra, Portugal
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3
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Liu X, Henriques ST, Craik DJ, Chan LY. Unlocking the Potential of the Antimicrobial Peptide Gomesin: From Discovery and Structure-Activity Relationships to Therapeutic Applications. Int J Mol Sci 2023; 24:ijms24065893. [PMID: 36982972 PMCID: PMC10053013 DOI: 10.3390/ijms24065893] [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: 02/27/2023] [Revised: 03/17/2023] [Accepted: 03/18/2023] [Indexed: 03/30/2023] Open
Abstract
Gomesin is a cationic antimicrobial peptide which is isolated from the haemocytes of the Brazilian tarantula Acanthoscurria gomesiana and can be produced chemically by Fmoc solid-phase peptide synthesis. Gomesin exhibits a range of biological activities, as demonstrated by its toxicity against therapeutically relevant pathogens such as Gram-positive or Gram-negative bacteria, fungi, cancer cells, and parasites. In recent years, a cyclic version of gomesin has been used for drug design and development as it is more stable than native gomesin in human serum and can penetrate and enter cancer cells. It can therefore interact with intracellular targets and has the potential to be developed as a drug lead for to treat cancer, infectious diseases, and other human diseases. This review provides a perspective on the discovery, structure-activity relationships, mechanism of action, biological activity, and potential clinical applications of gomesin.
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Affiliation(s)
- Xiaorong Liu
- Institute for Molecular Bioscience, Australian Research Council Centre of Excellence for Innovations in Peptide and Protein Science, The University of Queensland, Brisbane, QLD 4072, Australia
| | - Sónia T Henriques
- Institute for Molecular Bioscience, Australian Research Council Centre of Excellence for Innovations in Peptide and Protein Science, The University of Queensland, Brisbane, QLD 4072, Australia
- Translational Research Institute, Faculty of Health, School of Biomedical Sciences, Queensland University of Technology, Brisbane, QLD 4102, Australia
| | - David J Craik
- Institute for Molecular Bioscience, Australian Research Council Centre of Excellence for Innovations in Peptide and Protein Science, The University of Queensland, Brisbane, QLD 4072, Australia
| | - Lai Yue Chan
- Institute for Molecular Bioscience, Australian Research Council Centre of Excellence for Innovations in Peptide and Protein Science, The University of Queensland, Brisbane, QLD 4072, Australia
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4
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Takahashi H, Sovadinova I, Yasuhara K, Vemparala S, Caputo GA, Kuroda K. Biomimetic antimicrobial polymers—Design, characterization, antimicrobial, and novel applications. WIRES NANOMEDICINE AND NANOBIOTECHNOLOGY 2022; 15:e1866. [PMID: 36300561 DOI: 10.1002/wnan.1866] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2022] [Revised: 09/15/2022] [Accepted: 09/27/2022] [Indexed: 11/05/2022]
Abstract
Biomimetic antimicrobial polymers have been an area of great interest as the need for novel antimicrobial compounds grows due to the development of resistance. These polymers were designed and developed to mimic naturally occurring antimicrobial peptides in both physicochemical composition and mechanism of action. These antimicrobial peptide mimetic polymers have been extensively investigated using chemical, biophysical, microbiological, and computational approaches to gain a deeper understanding of the molecular interactions that drive function. These studies have helped inform SARs, mechanism of action, and general physicochemical factors that influence the activity and properties of antimicrobial polymers. However, there are still lingering questions in this field regarding 3D structural patterning, bioavailability, and applicability to alternative targets. In this review, we present a perspective on the development and characterization of several antimicrobial polymers and discuss novel applications of these molecules emerging in the field. This article is categorized under: Therapeutic Approaches and Drug Discovery > Emerging Technologies Therapeutic Approaches and Drug Discovery > Nanomedicine for Infectious Disease.
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Affiliation(s)
- Haruko Takahashi
- Graduate School of Integrated Sciences for Life Hiroshima University Higashi‐Hiroshima Hiroshima Japan
| | - Iva Sovadinova
- RECETOX, Faculty of Science Masaryk University Brno Czech Republic
| | - Kazuma Yasuhara
- Division of Materials Science, Graduate School of Science and Technology Nara Institute of Science and Technology Nara Japan
- Center for Digital Green‐Innovation Nara Institute of Science and Technology Nara Japan
| | - Satyavani Vemparala
- The Institute of Mathematical Sciences CIT Campus Chennai India
- Homi Bhabha National Institute Training School Complex Mumbai India
| | - Gregory A. Caputo
- Department of Chemistry & Biochemistry Rowan University Glassboro New Jersey USA
| | - Kenichi Kuroda
- Department of Biologic and Materials Sciences & Prosthodontics, School of Dentistry University of Michigan Ann Arbor Michigan USA
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5
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Bhat R, Foster LL, Rani G, Vemparala S, Kuroda K. The function of peptide-mimetic anionic groups and salt bridges in the antimicrobial activity and conformation of cationic amphiphilic copolymers. RSC Adv 2021; 11:22044-22056. [PMID: 35480841 PMCID: PMC9034112 DOI: 10.1039/d1ra02730a] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2021] [Accepted: 06/15/2021] [Indexed: 12/19/2022] Open
Abstract
Herein we report the synthesis of ternary statistical methacrylate copolymers comprising cationic ammonium (amino-ethyl methacrylate: AEMA), carboxylic acid (propanoic acid methacrylate: PAMA) and hydrophobic (ethyl methacrylate: EMA) side chain monomers, to study the functional role of anionic groups on their antimicrobial and hemolytic activities as well as the conformation of polymer chains. The hydrophobic monomer EMA was maintained at 40 mol% in all the polymers, with different percentages of cationic ammonium (AEMA) and anionic carboxylate (PAMA) side chains, resulting in different total net charge for the polymers. The antimicrobial and hemolytic activities of the copolymer were determined by the net charge of +3 or larger, suggesting that there was no distinct effect of the anionic carboxylate groups on the antimicrobial and hemolytic activities of the copolymers. However, the pH titration and atomic molecular dynamics simulations suggest that anionic groups may play a strong role in controlling the polymer conformation. This was achieved via formation of salt bridges between cationic and anionic groups, transiently crosslinking the polymer chain allowing dynamic switching between compact and extended conformations. These results suggest that inclusion of functional groups in general, other than the canonical hydrophobic and cationic groups in antimicrobial agents, may have broader implications in acquiring functional structures required for adequate antimicrobial activity. In order to explain the implications, we propose a molecular model in which formation of intra-chain, transient salt bridges, due to the presence of both anionic and cationic groups along the polymer, may function as "adhesives" which facilitate compact packing of the polymer chain to enable functional group interaction but without rigidly locking down the overall polymer structure, which may adversely affect their functional roles.
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Affiliation(s)
- Rajani Bhat
- Department of Biologic and Materials Sciences & Prosthodontics, School of Dentistry, University of Michigan Ann Arbor Michigan 48109 USA
| | - Leanna L Foster
- Macromolecular Science and Engineering Center, University of Michigan Ann Arbor Michigan 48109 USA
| | - Garima Rani
- TIFR Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research Hyderabad 500046 India
| | - Satyavani Vemparala
- The Institute of Mathematical Sciences, C. I. T. Campus Taramani Chennai 600113 India
- Homi Bhabha National Institute, Training School Complex Anushakti Nagar Mumbai 400094 India
| | - Kenichi Kuroda
- Department of Biologic and Materials Sciences & Prosthodontics, School of Dentistry, University of Michigan Ann Arbor Michigan 48109 USA
- Macromolecular Science and Engineering Center, University of Michigan Ann Arbor Michigan 48109 USA
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Panteleev PV, Tsarev AV, Safronova VN, Reznikova OV, Bolosov IA, Sychev SV, Shenkarev ZO, Ovchinnikova TV. Structure Elucidation and Functional Studies of a Novel β-hairpin Antimicrobial Peptide from the Marine Polychaeta Capitella teleta. Mar Drugs 2020; 18:md18120620. [PMID: 33291782 PMCID: PMC7761999 DOI: 10.3390/md18120620] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2020] [Revised: 11/27/2020] [Accepted: 12/02/2020] [Indexed: 12/21/2022] Open
Abstract
Endogenous antimicrobial peptides (AMPs) are evolutionary ancient molecular factors of innate immunity that play a key role in host defense. Among the most active and stable under physiological conditions AMPs are the peptides of animal origin that adopt a β-hairpin conformation stabilized by disulfide bridges. In this study, a novel BRICHOS-domain related AMP from the marine polychaeta Capitella teleta, named capitellacin, was produced as the recombinant analogue and investigated. The mature capitellacin exhibits high homology with the known β-hairpin AMP family—tachyplesins and polyphemusins from the horseshoe crabs. The β-hairpin structure of the recombinant capitellacin was proved by CD and NMR spectroscopy. In aqueous solution the peptide exists as monomeric right-handed twisted β-hairpin and its structure does not reveal significant amphipathicity. Moreover, the peptide retains this conformation in membrane environment and incorporates into lipid bilayer. Capitellacin exhibits a strong antimicrobial activity in vitro against a wide panel of bacteria including extensively drug-resistant strains. In contrast to other known β-hairpin AMPs, this peptide acts apparently via non-lytic mechanism at concentrations inhibiting bacterial growth. The molecular mechanism of the peptide antimicrobial action does not seem to be related to the inhibition of bacterial translation therefore other molecular targets may be assumed. The reduced cytotoxicity against human cells and high antibacterial cell selectivity as compared to tachyplesin-1 make it an attractive candidate compound for an anti-infective drug design.
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Affiliation(s)
- Pavel V. Panteleev
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Andrey V. Tsarev
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Victoria N. Safronova
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Olesia V. Reznikova
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Ilia A. Bolosov
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Sergei V. Sychev
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Zakhar O. Shenkarev
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
| | - Tatiana V. Ovchinnikova
- M.M. Shemyakin & Yu.A. Ovchinnikov Institute of Bioorganic Chemistry, the Russian Academy of Sciences, Miklukho-Maklaya str., 16/10, 117997 Moscow, Russia; (P.V.P.); (A.V.T.); (V.N.S.); (O.V.R.); (I.A.B.); (S.V.S.); (Z.O.S.)
- Department of Biotechnology, I.M. Sechenov First Moscow State Medical University, Trubetskaya str., 8–2, 119991 Moscow, Russia
- Correspondence: ; Tel.: +7-495-336-44-44
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7
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Wang J, Wang C, Ge Y, Sun Y, Wang D, Xu H. Self‐assembly
of hairpin peptides mediated by Cu(
II
) ion: Effect of amino acid sequence. Pept Sci (Hoboken) 2020. [DOI: 10.1002/pep2.24208] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Affiliation(s)
- Jiqian Wang
- State Key Laboratory of Heavy Oil Processing, Centre for Bioengineering and Biotechnology China University of Petroleum (East China) Qingdao China
| | - Chengdong Wang
- Qingdao Industrial Energy Storage Research Institute, Qingdao Institute of Bioenergy and Bioprocess Technology Chinese Academy of Sciences Qingdao China
| | - Yanqing Ge
- State Key Laboratory of Heavy Oil Processing, Centre for Bioengineering and Biotechnology China University of Petroleum (East China) Qingdao China
| | - Yawei Sun
- State Key Laboratory of Heavy Oil Processing, Centre for Bioengineering and Biotechnology China University of Petroleum (East China) Qingdao China
| | - Dong Wang
- State Key Laboratory of Heavy Oil Processing, Centre for Bioengineering and Biotechnology China University of Petroleum (East China) Qingdao China
| | - Hai Xu
- State Key Laboratory of Heavy Oil Processing, Centre for Bioengineering and Biotechnology China University of Petroleum (East China) Qingdao China
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8
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Rodnin MV, Vasquez-Montes V, Nepal B, Ladokhin AS, Lazaridis T. Experimental and Computational Characterization of Oxidized and Reduced Protegrin Pores in Lipid Bilayers. J Membr Biol 2020; 253:287-298. [PMID: 32500172 DOI: 10.1007/s00232-020-00124-3] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2020] [Accepted: 05/23/2020] [Indexed: 12/16/2022]
Abstract
Protegrin-1 (PG-1), an 18-residue β-hairpin stabilized by two disulfide bonds, is a member of a family of powerful antimicrobial peptides which are believed to act through membrane permeabilization. Here we used a combination of experimental and computational approaches to characterize possible structural arrangements of PG-1 in lipid bilayers mimicking bacterial membranes. We have measured the dose-response function of the PG-1-induced leakage of markers of various sizes from vesicles and found it to be consistent with the formation of pores of two different sizes. The first one allows the release of small dyes and occurs at peptide:lipid ratios < 0.006. Above this ratio, larger pores are observed through which the smallest of dextrans FD4 can be released. In parallel with pore formation, we observe a general large-scale destabilization of vesicles which is probably related to complete rupture of some vesicles. The population of vesicles that are completely ruptured depends linearly on PG-1:lipid ratio. Neither pore size, nor vesicle rupture are influenced by the formation of disulfide bonds. Previous computational work on oxidized protegrin is complemented here by all-atom MD simulations of PG-1 with reduced disulfide bonds both in solution (monomer) and in a bilayer (dimer and octamer). The simulations provide molecular insights into the influence of disulfide bonds on peptide conformation, aggregation, and oligomeric structure.
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Affiliation(s)
- Mykola V Rodnin
- Department of Biochemistry and Molecular Biology, The University of Kansas Medical Center, Kansas City, KS, 66160, USA
| | - Victor Vasquez-Montes
- Department of Biochemistry and Molecular Biology, The University of Kansas Medical Center, Kansas City, KS, 66160, USA
| | - Binod Nepal
- Department of Chemistry and Biochemistry, City College of New York, New York, NY, 10031, USA
| | - Alexey S Ladokhin
- Department of Biochemistry and Molecular Biology, The University of Kansas Medical Center, Kansas City, KS, 66160, USA.
| | - Themis Lazaridis
- Department of Chemistry and Biochemistry, City College of New York, New York, NY, 10031, USA. .,Graduate Programs in Chemistry, Biochemistry, and Physics, The Graduate Center, City University of New York, New York, NY, 10016, USA.
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