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Lin YY, Müller P, Karagianni E, Hepp N, Mueller-Planitz F, Vanderlinden W, Lipfert J. Epigenetic Histone Modifications H3K36me3 and H4K5/8/12/16ac Induce Open Polynucleosome Conformations via Different Mechanisms. J Mol Biol 2024; 436:168671. [PMID: 38908785 DOI: 10.1016/j.jmb.2024.168671] [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: 02/18/2024] [Revised: 05/28/2024] [Accepted: 06/16/2024] [Indexed: 06/24/2024]
Abstract
Nucleosomes are the basic compaction unit of chromatin and nucleosome structure and their higher-order assemblies regulate genome accessibility. Many post-translational modifications alter nucleosome dynamics, nucleosome-nucleosome interactions, and ultimately chromatin structure and gene expression. Here, we investigate the role of two post-translational modifications associated with actively transcribed regions, H3K36me3 and H4K5/8/12/16ac, in the contexts of tri-nucleosome arrays that provide a tractable model system for quantitative single-molecule analysis, while enabling us to probe nucleosome-nucleosome interactions. Direct visualization by AFM imaging reveals that H3K36me3 and H4K5/8/12/16ac nucleosomes adopt significantly more open and loose conformations than unmodified nucleosomes. Similarly, magnetic tweezers force spectroscopy shows a reduction in DNA outer turn wrapping and nucleosome-nucleosome interactions for the modified nucleosomes. The results suggest that for H3K36me3 the increased breathing and outer DNA turn unwrapping seen in mononucleosomes propagates to more open conformations in nucleosome arrays. In contrast, the even more open structures of H4K5/8/12/16ac nucleosome arrays do not appear to derive from the dynamics of the constituent mononucleosomes, but are driven by reduced nucleosome-nucleosome interactions, suggesting that stacking interactions can overrule DNA breathing of individual nucleosomes. We anticipate that our methodology will be broadly applicable to reveal the influence of other post-translational modifications and to observe the activity of nucleosome remodelers.
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Affiliation(s)
- Yi-Yun Lin
- Department of Physics and Center for NanoScience (CeNS), LMU Munich, Amaliensstrasse 54, 80799 Munich, Germany; Soft Condensed Matter and Biophysics, Department of Physics and Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, the Netherlands
| | - Peter Müller
- Department of Physics and Center for NanoScience (CeNS), LMU Munich, Amaliensstrasse 54, 80799 Munich, Germany; Soft Condensed Matter and Biophysics, Department of Physics and Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, the Netherlands
| | - Evdoxia Karagianni
- Soft Condensed Matter and Biophysics, Department of Physics and Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, the Netherlands
| | - Nicola Hepp
- Institute of Physiological Chemistry, Faculty of Medicine Carl Gustav Carus, Technische Universität Dresden, Fetscherstraße 74, 01307 Dresden, Germany; Current address: Department of Clinical Genetics, Rigshospitalet, Copenhagen University Hospital, Blegdamsvej 9, 2100 Copenhagen, Denmark
| | - Felix Mueller-Planitz
- Institute of Physiological Chemistry, Faculty of Medicine Carl Gustav Carus, Technische Universität Dresden, Fetscherstraße 74, 01307 Dresden, Germany
| | - Willem Vanderlinden
- Department of Physics and Center for NanoScience (CeNS), LMU Munich, Amaliensstrasse 54, 80799 Munich, Germany; Soft Condensed Matter and Biophysics, Department of Physics and Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, the Netherlands; School of Physics and Astronomy, University of Edinburg, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom.
| | - Jan Lipfert
- Department of Physics and Center for NanoScience (CeNS), LMU Munich, Amaliensstrasse 54, 80799 Munich, Germany; Soft Condensed Matter and Biophysics, Department of Physics and Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, the Netherlands.
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Audinot JN, Philipp P, De Castro O, Biesemeier A, Hoang QH, Wirtz T. Highest resolution chemical imaging based on secondary ion mass spectrometry performed on the helium ion microscope. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2021; 84:105901. [PMID: 34404033 DOI: 10.1088/1361-6633/ac1e32] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/2020] [Accepted: 08/17/2021] [Indexed: 06/13/2023]
Abstract
This paper is a review on the combination between Helium Ion Microscopy (HIM) and Secondary Ion Mass Spectrometry (SIMS), which is a recently developed technique that is of particular relevance in the context of the quest for high-resolution high-sensitivity nano-analytical solutions. We start by giving an overview on the HIM-SIMS concept and the underlying fundamental principles of both HIM and SIMS. We then present and discuss instrumental aspects of the HIM and SIMS techniques, highlighting the advantage of the integrated HIM-SIMS instrument. We give an overview on the performance characteristics of the HIM-SIMS technique, which is capable of producing elemental SIMS maps with lateral resolution below 20 nm, approaching the physical resolution limits, while maintaining a sub-nanometric resolution in the secondary electron microscopy mode. In addition, we showcase different strategies and methods allowing to take profit of both capabilities of the HIM-SIMS instrument (high-resolution imaging using secondary electrons and mass filtered secondary sons) in a correlative approach. Since its development HIM-SIMS has been successfully applied to a large variety of scientific and technological topics. Here, we will present and summarise recent applications of nanoscale imaging in materials research, life sciences and geology.
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Affiliation(s)
- Jean-Nicolas Audinot
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
| | - Patrick Philipp
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
| | - Olivier De Castro
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
| | - Antje Biesemeier
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
| | - Quang Hung Hoang
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
| | - Tom Wirtz
- Advanced Instrumentation for Nano-Analytics (AINA), MRT Department, Luxembourg Institute of Science and Technology (LIST), 41 rue du Brill, L-4422 Belvaux, Luxembourg
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Sartsanga C, Phengchat R, Fukui K, Wako T, Ohmido N. Surface structures consisting of chromatin fibers in isolated barley (Hordeum vulgare) chromosomes revealed by helium ion microscopy. Chromosome Res 2021; 29:81-94. [PMID: 33615407 DOI: 10.1007/s10577-021-09649-2] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/06/2020] [Revised: 01/19/2021] [Accepted: 01/27/2021] [Indexed: 11/24/2022]
Abstract
The chromosome compaction of chromatin fibers results in the formation of the nucleosome, which consists of a DNA unit coiled around a core of histone molecules associated with linker histone. The compaction of chromatin fibers has been a topic of controversy since the discovery of chromosomes in the 19th century. Although chromatin fibers were first identified using electron microscopy, the chromatin fibers on the surface of chromosome structures in plants remain unclear due to shrinking and breaking caused by prior chromosome isolation or preparation with alcohol and acid fixation, and critical point drying occurred into dehydration and denatured chromosomal proteins. This study aimed to develop a high-quality procedure for the isolation and preparation of plant chromosomes, maintaining the native chromosome structure, to elucidate the organization of chromatin fibers on the surface of plant chromosomes by electron microscopy. A simple technique to isolate intact barley (Hordeum vulgare) chromosomes with a high yield was developed, allowing chromosomes to be observed with a high-resolution scanning ion microscopy and helium ion microscopy (HIM) imaging technology, based on a scanning helium ion beam. HIM images from the surface chromatin fibers were analyzed to determine the size and alignment of the chromatin fibers. The unit size of the chromatin fibers was 11.6 ± 3.5 nm and was closely aligned to the chromatin network model. Our findings indicate that compacting the surface structure of barley via a chromatin network and observation via HIM are powerful tools for investigating the structure of chromatin.
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Affiliation(s)
- Channarong Sartsanga
- Graduate School of Human Development and Environment, Kobe University, Kobe, 657-8501, Japan
| | - Rinyaporn Phengchat
- Graduate School of Human Development and Environment, Kobe University, Kobe, 657-8501, Japan
| | - Kiichi Fukui
- Graduate School of Pharmaceutical Sciences, Osaka University, Suita, Osaka, 565-0871, Japan
| | - Toshiyuki Wako
- Institute of Crop Sciences, National Agriculture and Food Research Organization, 2-1-1 Kannondai, Tsukuba, Ibaraki, 305-8602, Japan
| | - Nobuko Ohmido
- Graduate School of Human Development and Environment, Kobe University, Kobe, 657-8501, Japan.
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Dwiranti A, Arifudin FS, Takata H, Ohmido N, Fukui K. Application of the Chromosome Image Analyzing System (CHIAS) for Straightening Cation-treated Bent Chromosomes. Microsc Res Tech 2020; 83:1411-1416. [PMID: 32648619 DOI: 10.1002/jemt.23533] [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: 03/20/2020] [Revised: 05/18/2020] [Accepted: 06/02/2020] [Indexed: 11/11/2022]
Abstract
Divalent cations, mainly calcium and magnesium ions, are known to play a major role in the maintenance of chromosomes. The depletion of both ions using ethylenediaminetetraacetic acid (EDTA) results in a bent chromosome structure with extended arms and dispersed chromatin fibers. The importance of divalent cations for the maintenance of chromosome structure has been reported previously; nevertheless, previous studies were limited to qualitative data only. Straightening the bent image of the chromosome would provide quantitative data. Thus, this study aimed to evaluate the effects of cation depletion by the application of the Chromosome Image Analyzing System (CHIAS) to straighten bent chromosomes. Human HeLa chromosomes were treated with EDTA as a known chelating agent in order to investigate the importance of divalent cations on the maintenance of chromosome structure. Chromosomes were stained and directly observed with a fluorescence microscope. Images were then analyzed using CHIAS. The results revealed that EDTA-treated chromosomes showed longer arms than those without EDTA treatment, and most of them tended to bend-out. By straightening the image using CHIAS, the bent chromosomes were successfully straightened. The average lengths of the chromosomes treated with and without EDTA were 4.97 and 0.96 μm, respectively. These results signify the advantages of CHIAS for chromosome analysis and highlight the fundamental effects of cations on chromosome condensation.
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Affiliation(s)
- Astari Dwiranti
- Department of Biology, Faculty of Mathematics and Natural Sciences, University of Indonesia, Depok Campus, West Java, Indonesia
| | - Fendi Sofyan Arifudin
- Department of Biology, Faculty of Mathematics and Natural Sciences, University of Indonesia, Depok Campus, West Java, Indonesia
| | - Hideaki Takata
- Biomedical Research Institute, National Institute of Advanced Industrial Science and Technology, Ikeda, Osaka, Japan
| | - Nobuko Ohmido
- Department of Human Environmental Science, Graduate School of Human Development and Environment, Kobe University, Kobe, Hyogo, Japan
| | - Kiichi Fukui
- Graduate School of Pharmaceutical Sciences, Osaka University, Suita, Osaka, Japan
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Dwiranti A, Takata H, Fukui K. Reversible Changes of Chromosome Structure upon Different Concentrations of Divalent Cations. MICROSCOPY AND MICROANALYSIS : THE OFFICIAL JOURNAL OF MICROSCOPY SOCIETY OF AMERICA, MICROBEAM ANALYSIS SOCIETY, MICROSCOPICAL SOCIETY OF CANADA 2019; 25:817-821. [PMID: 30992092 DOI: 10.1017/s1431927619000266] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The structural details of chromosomes have been of interest to researchers for many years, but how the metaphase chromosome is constructed remains unsolved. Divalent cations have been suggested to be required for the organization of chromosomes. However, detailed information about the role of these cations in chromosome organization is still limited. In the current study, we investigated the effects of Ca2+ and Mg2+ depletion and the reversibility upon re-addition of one of the two ions. Human chromosomes were treated with different concentrations of Ca2+and Mg2+. Depletion of Ca2+ and both Ca2+ and Mg2+ were carried out using 1, 2-bis(2-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid and ethylenediaminetetraacetic acid (EDTA), respectively. Chromosome structure was examined by fluorescence microscopy and scanning electron microscopy. The results indicated that chromosome structures after treatment with a buffer without Mg2+, after Ca2+ depletion, as well as after depletion of both Mg2+, and Ca2+, yielded fewer compact structures with fibrous chromatin than those without cation depletion. Interestingly, the chromatin of EDTA-treated chromosomes reversed to their original granular diameters after re-addition of either Mg2+ or Ca2+ only. These findings signify the importance of divalent cations on the chromosome structure and suggest the interchangeable role of Ca2+ and Mg2+.
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Affiliation(s)
- Astari Dwiranti
- Department of Biology, Faculty of Mathematics and Natural Sciences,Universitas Indonesia,Depok Campus, 16404 West Java,Indonesia
| | - Hideaki Takata
- Biomedical Research Institute, National Institute of Advanced Industrial Science and Technology,Midorigaoka, Ikeda, Osaka 563-8577,Japan
| | - Kiichi Fukui
- Graduate School of Pharmaceutical Sciences,Osaka University,Suita, Osaka 565-0871,Japan
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Dwiranti A, Masri F, Rahmayenti DA, Putrika A. The effects of osmium tetroxide post-fixation and drying steps on leafy liverwort ultrastructure study by scanning electron microscopy. Microsc Res Tech 2019; 82:1041-1046. [PMID: 30866147 DOI: 10.1002/jemt.23251] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2018] [Revised: 02/04/2019] [Accepted: 02/25/2019] [Indexed: 11/08/2022]
Abstract
Leafy liverwort is one of the most abundant and diverse plants in Indonesia. Their high variation and beneficial secondary metabolites contained in the oil bodies have attracted researchers' attention. The ultrastructural analysis of leafy liverworts is important as a means of species identification and also for further exploration of their oil bodies. However, the optimization of the preparation steps for observing leafy liverworts by SEM is necessary to avoid sample destruction. Fixation and drying play important roles in maintaining a sample's structure as close to its natural state as possible. Thus, in this study, we evaluated the effect of 4% Osmium tetroxide (OsO4 ) and drying on leafy liverworts ultrastructure. Microlejeunea, Acrolejeunea, and Frullania were fixed with 2.5% glutaraldehyde. Some samples were then post-fixed with 4% OsO4 , while the rest were directly dehydrated with an ethanol series and then subjected to different drying methods, i.e. air drying, freeze drying, and drying with hexamethyldisilazane (HMDS). According to the data obtained, post-fixation with 4% OsO4 could better maintain the integrity of the samples and enhance the contrast of leafy liverwort SEM images. In addition, samples dried with HMDS showed more detailed structures compared to those that were air dried. Different ultrastructure were found among the different leafy liverworts observed by SEM. Our data suggested the advantages of SEM in providing ultrastructure information on leafy liverworts as well as the optimum conditions to observe them with less deformation. OsO4 post-fixation could enhance the contrast of leafy liverwort SEM images and maintain the structure of the samples. Drying with HMDS provided a convenient way for rapid SEM preparation with less structural distortion.
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Affiliation(s)
- Astari Dwiranti
- Department of Biology, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, Indonesia
| | - Furqannul Masri
- Department of Biology, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, Indonesia
| | - Desandra Aulia Rahmayenti
- Department of Biology, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, Indonesia
| | - Afiatry Putrika
- Department of Biology, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, Indonesia
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Dykas MM, Poddar K, Yoong SL, Viswanathan V, Mathew S, Patra A, Saha S, Pastorin G, Venkatesan T. Enhancing image contrast of carbon nanotubes on cellular background using helium ion microscope by varying helium ion fluence. J Microsc 2017; 269:14-22. [PMID: 28703381 DOI: 10.1111/jmi.12604] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2017] [Revised: 06/08/2017] [Accepted: 06/22/2017] [Indexed: 01/28/2023]
Abstract
Carbon nanotubes (CNTs) have become an important nano entity for biomedical applications. Conventional methods of their imaging, often cannot be applied in biological samples due to an inadequate spatial resolution or poor contrast between the CNTs and the biological sample. Here we report a unique and effective detection method, which uses differences in conductivities of carbon nanotubes and HeLa cells. The technique involves the use of a helium ion microscope to image the sample with the surface charging artefacts created by the He+ and neutralised by electron flood gun. This enables us to obtain a few nanometre resolution images of CNTs in HeLa Cells with high contrast, which was achieved by tailoring the He+ fluence. Charging artefacts can be efficiently removed for conductive CNTs by a low amount of electrons, the fluence of which is not adequate to discharge the cell surface, resulting in high image contrast. Thus, this technique enables rapid detection of any conducting nano structures on insulating cellular background even in large fields of view and fine spatial resolution. The technique demonstrated has wider applications for researchers seeking enhanced contrast and high-resolution imaging of any conducting entity in a biological matrix - a commonly encountered issue of importance in drug delivery, tissue engineering and toxicological studies.
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Affiliation(s)
- M M Dykas
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore
| | - K Poddar
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore.,Department of Orthopedic Surgery, National University of Singapore, Singapore
| | - S L Yoong
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Department of Pharmacy, National University of Singapore, Singapore
| | - V Viswanathan
- Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore.,Department of Electrical and Computer Engineering, National University of Singapore, Singapore
| | - S Mathew
- Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore
| | - A Patra
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore
| | - S Saha
- Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore
| | - G Pastorin
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore.,Department of Pharmacy, National University of Singapore, Singapore
| | - T Venkatesan
- Graduate School for Integrative Sciences and Engineering, National University of Singapore, Singapore.,Nanoscience & Nanotechnology Initiative, National University of Singapore, Singapore.,Department of Electrical and Computer Engineering, National University of Singapore, Singapore.,Department of Materials Science and Engineering, National University of Singapore, Singapore.,Department of Physics, National University of Singapore, Singapore
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Tanase JI, Yokoo T, Matsumura Y, Kinoshita M, Kikuchi Y, Suemori H, Ohyama T. Magnesium chloride and polyamine can differentiate mouse embryonic stem cells into trophectoderm or endoderm. Biochem Biophys Res Commun 2016; 482:764-770. [PMID: 27876565 DOI: 10.1016/j.bbrc.2016.11.108] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2016] [Accepted: 11/18/2016] [Indexed: 11/18/2022]
Abstract
Magnesium chloride and polyamines stabilize DNA and chromatin. Furthermore, they can induce nucleosome aggregation and chromatin condensation in vitro. To determine the effects of elevating the cation concentrations in the nucleus of a living cell, we microinjected various concentrations of mono-, di- and polyvalent cation solutions into the nuclei of mouse embryonic stem (ES) cells and traced their fates. Here, we show that an elevation of either MgCl2, spermidine or spermine concentration in the nucleus exerts a significant effect on mouse ES cells, and can differentiate a certain population of the cells into trophectoderm, a lineage that mouse ES cells do not normally generate, or endoderm. It is hypothesized that the cell differentiation was most probably caused by the condensation of chromatin including the Oct3/4 locus, which was induced by the elevated concentrations of these cations.
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Affiliation(s)
- Jun-Ichi Tanase
- Department of Biology, Faculty of Education and Integrated Arts and Sciences, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan
| | - Takehiro Yokoo
- Major in Integrative Bioscience and Biomedical Engineering, Graduate School of Science and Engineering, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan
| | - Yuuki Matsumura
- Major in Integrative Bioscience and Biomedical Engineering, Graduate School of Science and Engineering, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan
| | - Makoto Kinoshita
- Major in Integrative Bioscience and Biomedical Engineering, Graduate School of Science and Engineering, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan
| | - Yo Kikuchi
- Major in Integrative Bioscience and Biomedical Engineering, Graduate School of Science and Engineering, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan
| | - Hirofumi Suemori
- Department of Embryonic Stem Cell Research, Institute for Frontier Medical Sciences, Kyoto University, 53 Kawahara-cho, Shogoin, Sakyo-ku, Kyoto 606-8507, Japan
| | - Takashi Ohyama
- Department of Biology, Faculty of Education and Integrated Arts and Sciences, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan; Major in Integrative Bioscience and Biomedical Engineering, Graduate School of Science and Engineering, Waseda University, 2-2 Wakamatsu-cho, Shinjuku-ku, Tokyo 162-8480, Japan.
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