1
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Huang C, Song Z, Qu Z. Transition from alternating stripes to alternating labyrinths in oscillatory media. Phys Rev E 2025; 111:L032201. [PMID: 40247508 PMCID: PMC12068952 DOI: 10.1103/physreve.111.l032201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2024] [Accepted: 02/24/2025] [Indexed: 04/19/2025]
Abstract
Alternating (temporally period-2) stripes and labyrinths have been observed in media of chemical and biochemical reactions; however, the mechanisms underlying the formation of these spatiotemporal patterns remain unclear. Here, we conduct computer simulation using a modified model of Belousov-Zhabotinsky reaction that incorporates a global feedback loop with a spatial strength profile of Gaussian distribution. The simulation results demonstrate that the transition from alternating stripes to alternating labyrinths occurs when the feedback is negative with a certain width of the Gaussian function. We add the same Gaussian-weighted feedback loop to an amplitude equation to describe the amplitude dynamics of the period-2 oscillation and show that the pattern dynamics of the Belousov-Zhabotinsky reaction can be well captured by this amplitude equation. Analyses of the amplitude equation demonstrate that the transition from stripes to labyrinths arises from the transverse instabilities of bistable fronts caused by the Gaussian-weighted negative global feedback.
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Affiliation(s)
- Chunli Huang
- School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510420, China
| | - Zhen Song
- Pengcheng Laboratory, Shenzhen, Guangdong 518000, China
| | - Zhilin Qu
- Department of Medicine, University of California, Los Angeles, California 90095, USA
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2
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Hasani M, Esch K, Zieske K. Controlled Protein-Membrane Interactions Modulate Self-Organization of Min Protein Patterns. Angew Chem Int Ed Engl 2024; 63:e202405046. [PMID: 39023015 DOI: 10.1002/anie.202405046] [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: 03/13/2024] [Revised: 06/09/2024] [Accepted: 07/11/2024] [Indexed: 07/20/2024]
Abstract
Self-organizing protein patterns are crucial for living systems, governing important cellular processes such as polarization and division. While the field of protein self-organization has reached a point where basic pattern-forming mechanisms can be reconstituted in vitro using purified proteins, understanding how cells can dynamically switch and modulate these patterns, especially when transiently needed, remains an interesting frontier. Here, we demonstrate the efficient regulation of self-organizing protein patterns through the modulation of simple biophysical membrane parameters. Our investigation focuses on the impact of membrane affinity changes on Min protein patterns at lipid membranes composed of Escherichia coli lipids or minimal lipid compositions, and we present three major results. First, we observed the emergence of a diverse array of pattern phenotypes, ranging from waves over flower-shaped patterns to snowflake-like structures. Second, we demonstrated the dependency of these patterns on the density of protein-membrane linkers. Finally, we demonstrate that the shape of snowflake-like patterns is fine-tuned by membrane charge. Our results demonstrate the significant influence of membrane linkage as a straightforward biophysical parameter governing protein pattern formation. Our research points towards a simple yet intriguing mechanism by which cells can adeptly tune and switch protein patterns on the mesoscale.
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Affiliation(s)
- Mergime Hasani
- Biophysics and Optogenetics, Max Planck Institute for the Science of Light, Staudtstrasse 2, 91058, Erlangen, Germany
- Department of Physics, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058, Erlangen, Germany
| | - Katharina Esch
- Biophysics and Optogenetics, Max Planck Institute for the Science of Light, Staudtstrasse 2, 91058, Erlangen, Germany
- Department of Physics, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058, Erlangen, Germany
| | - Katja Zieske
- Biophysics and Optogenetics, Max Planck Institute for the Science of Light, Staudtstrasse 2, 91058, Erlangen, Germany
- Department of Physics, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058, Erlangen, Germany
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3
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Takada S, Fujiwara K. Artificial cell system as a tool for investigating pattern formation mechanisms of intracellular reaction-diffusion waves. Biophys Physicobiol 2024; 21:e210022. [PMID: 39963599 PMCID: PMC11830476 DOI: 10.2142/biophysico.bppb-v21.0022] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2024] [Accepted: 10/08/2024] [Indexed: 02/20/2025] Open
Abstract
Intracellular positional information is crucial for the precise control of biological phenomena, including cell division, polarity, and motility. Intracellular reaction-diffusion (iRD) waves are responsible for regulating positional information within cells as morphogens in multicellular tissues. However, iRD waves are explained by the coupling of biochemical reactions and molecular diffusion which indicates nonlinear systems under far from equilibrium conditions. Because of this complexity, experiments using defined elements rather than living cells containing endogenous factors are necessary to elucidate their pattern formation mechanisms. In this review, we summarize the effectiveness of artificial cell systems for investigating iRD waves derived from their high controllability and ability to emulate cell-size space effects. We describe how artificial cell systems reveal the characteristics of iRD waves, including the mechanisms of wave generation, mode selection, and period regulation. Furthermore, we introduce remaining open questions and discuss future challenges even in Min waves and in applying artificial cell systems to various iRD waves.
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Affiliation(s)
- Sakura Takada
- Department of Biosciences and Informatics, Keio University, Yokohama, Kanagawa 223-8522, Japan
| | - Kei Fujiwara
- Department of Biosciences and Informatics, Keio University, Yokohama, Kanagawa 223-8522, Japan
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4
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Houghton MC, Kashanian SV, Derrien TL, Masuda K, Vollmer F. Whispering-Gallery Mode Optoplasmonic Microcavities: From Advanced Single-Molecule Sensors and Microlasers to Applications in Synthetic Biology. ACS PHOTONICS 2024; 11:892-903. [PMID: 38523742 PMCID: PMC10958601 DOI: 10.1021/acsphotonics.3c01570] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/31/2023] [Revised: 01/15/2024] [Accepted: 01/17/2024] [Indexed: 03/26/2024]
Abstract
Optical microcavities, specifically, whispering-gallery mode (WGM) microcavities, with their remarkable sensitivity to environmental changes, have been extensively employed as biosensors, enabling the detection of a wide range of biomolecules and nanoparticles. To push the limits of detection down to the most sensitive single-molecule level, plasmonic nanorods are strategically introduced to enhance the evanescent fields of WGM microcavities. This advancement of optoplasmonic WGM sensors allows for the detection of single molecules of a protein, conformational changes, and even atomic ions, marking significant contributions in single-molecule sensing. This Perspective discusses the exciting research prospects in optoplasmonic WGM sensing of single molecules, including the study of enzyme thermodynamics and kinetics, the emergence of thermo-optoplasmonic sensing, the ultrasensitive single-molecule sensing on WGM microlasers, and applications in synthetic biology.
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Affiliation(s)
- Matthew C. Houghton
- Department
of Physics and Astronomy, University of
Exeter, Exeter
Devon EX4 4QL, United Kingdom
- Department
of Life Sciences, University of Bath, Bath BA2 7AX, United Kingdom
| | - Samir Vartabi Kashanian
- Department
of Physics and Astronomy, University of
Exeter, Exeter
Devon EX4 4QL, United Kingdom
| | - Thomas L. Derrien
- Department
of Physics and Astronomy, University of
Exeter, Exeter
Devon EX4 4QL, United Kingdom
| | - Koji Masuda
- Department
of Physics and Astronomy, University of
Exeter, Exeter
Devon EX4 4QL, United Kingdom
| | - Frank Vollmer
- Department
of Physics and Astronomy, University of
Exeter, Exeter
Devon EX4 4QL, United Kingdom
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5
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Rajasekaran R, Chang CC, Weix EWZ, Galateo TM, Coyle SM. A programmable reaction-diffusion system for spatiotemporal cell signaling circuit design. Cell 2024; 187:345-359.e16. [PMID: 38181787 PMCID: PMC10842744 DOI: 10.1016/j.cell.2023.12.007] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2023] [Revised: 08/14/2023] [Accepted: 12/04/2023] [Indexed: 01/07/2024]
Abstract
Cells self-organize molecules in space and time to generate complex behaviors, but we lack synthetic strategies for engineering spatiotemporal signaling. We present a programmable reaction-diffusion platform for designing protein oscillations, patterns, and circuits in mammalian cells using two bacterial proteins, MinD and MinE (MinDE). MinDE circuits act like "single-cell radios," emitting frequency-barcoded fluorescence signals that can be spectrally isolated and analyzed using digital signal processing tools. We define how to genetically program these signals and connect their spatiotemporal dynamics to cell biology using engineerable protein-protein interactions. This enabled us to construct sensitive reporter circuits that broadcast endogenous cell signaling dynamics on a frequency-barcoded imaging channel and to build control signal circuits that synthetically pattern activities in the cell, such as protein condensate assembly and actin filamentation. Our work establishes a paradigm for visualizing, probing, and engineering cellular activities at length and timescales critical for biological function.
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Affiliation(s)
- Rohith Rajasekaran
- Department of Biochemistry, University of Wisconsin-Madison, Madison, WI 53706, USA; Integrated Program in Biochemistry Graduate Program, University of Wisconsin-Madison, Madison, WI 53706, USA
| | - Chih-Chia Chang
- Department of Biochemistry, University of Wisconsin-Madison, Madison, WI 53706, USA; Biophysics Graduate Program, University of Wisconsin-Madison, Madison, WI 53706, USA
| | - Elliott W Z Weix
- Department of Biochemistry, University of Wisconsin-Madison, Madison, WI 53706, USA
| | - Thomas M Galateo
- Department of Biochemistry, University of Wisconsin-Madison, Madison, WI 53706, USA
| | - Scott M Coyle
- Department of Biochemistry, University of Wisconsin-Madison, Madison, WI 53706, USA.
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Reverte-López M, Gavrilovic S, Merino-Salomón A, Eto H, Yagüe Relimpio A, Rivas G, Schwille P. Protein-Based Patterning to Spatially Functionalize Biomimetic Membranes. SMALL METHODS 2023; 7:e2300173. [PMID: 37350500 DOI: 10.1002/smtd.202300173] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/10/2023] [Revised: 05/08/2023] [Indexed: 06/24/2023]
Abstract
The bottom-up reconstitution of proteins for their modular engineering into synthetic cellular systems can reveal hidden protein functions in vitro. This is particularly evident for the bacterial Min proteins, a paradigm for self-organizing reaction-diffusion systems that displays an unexpected functionality of potential interest for bioengineering: the directional active transport of any diffusible cargo molecule on membranes. Here, the MinDE protein system is reported as a versatile surface patterning tool for the rational design of synthetically assembled 3D systems. Employing two-photon lithography, microswimmer-like structures coated with tailored lipid bilayers are fabricated and demonstrate that Min proteins can uniformly pattern bioactive molecules on their surface. Moreover, it is shown that the MinDE system can form stationary patterns inside lipid vesicles, which allow the targeting and distinctive clustering of higher-order protein structures on their inner leaflet. Given their facile use and robust function, Min proteins thus constitute a valuable molecular toolkit for spatially patterned functionalization of artificial biosystems like cell mimics and microcarriers.
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Affiliation(s)
- María Reverte-López
- Department of Cellular and Molecular Biophysics, Max Planck Institute of Biochemistry, 82152, Martinsried, Germany
| | - Svetozar Gavrilovic
- Department of Cellular and Molecular Biophysics, Max Planck Institute of Biochemistry, 82152, Martinsried, Germany
| | - Adrián Merino-Salomón
- Department of Cellular and Molecular Biophysics, Max Planck Institute of Biochemistry, 82152, Martinsried, Germany
| | - Hiromune Eto
- Hubrecht Institute-KNAW (Royal Netherlands Academy of Arts and Sciences), Utrecht, 3584 CT, The Netherlands
| | - Ana Yagüe Relimpio
- Department of Cellular Biophysics, Max Planck for Medical Research, 69120, Heidelberg, Germany
| | - Germán Rivas
- Centro de Investigaciones Biológicas Margarita Salas, Consejo Superior de Investigaciones Científicas (CSIC), Madrid, 28040, Spain
| | - Petra Schwille
- Department of Cellular and Molecular Biophysics, Max Planck Institute of Biochemistry, 82152, Martinsried, Germany
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7
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Takada S, Yoshinaga N, Doi N, Fujiwara K. Controlling the Periodicity of a Reaction-Diffusion Wave in Artificial Cells by a Two-Way Energy Supplier. ACS NANO 2022; 16:16853-16861. [PMID: 36214379 DOI: 10.1021/acsnano.2c06756] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/16/2023]
Abstract
Reaction-diffusion (RD) waves, which are dynamic self-organization structures generated by nanosize molecules, are a fundamental mechanism from patterning in nano- and micromaterials to spatiotemporal regulations in living cells, such as cell division and motility. Although the periods of RD waves are the critical element for these functions, the development of a system to control their period is challenging because RD waves result from nonlinear physical dynamics under far-from-equilibrium conditions. Here, we developed an artificial cell system with tunable period of an RD-driven wave (Min protein wave), which determines a cell division site plane in living bacterial cells. The developed system is based on our finding that Min waves are generated by energy consumption of either ATP or dATP, and the period of the wave is different between these two energy suppliers. We showed that the Min-wave period was modulated linearly by the mixing ratio of ATP and dATP and that it was also possible to estimate the mixing ratio of ATP and dATP from the period. Our findings illuminated a previously unidentified principle to control the dissipative dynamics of biomolecules and, simultaneously, built an important framework to construct molecular robots with spatiotemporal units.
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Affiliation(s)
- Sakura Takada
- Department of Biosciences and Informatics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa 223-8522, Japan
| | - Natsuhiko Yoshinaga
- Mathematical Science Group, WPI Advanced Institute for Materials Research (WPI-AIMR), Tohoku University Katahira 2-1-1, Aoba-Ku, Sendai 9808577, Japan
- MathAM-OIL, AIST, Sendai 980-8577, Japan
| | - Nobuhide Doi
- Department of Biosciences and Informatics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa 223-8522, Japan
| | - Kei Fujiwara
- Department of Biosciences and Informatics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa 223-8522, Japan
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8
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Takada S, Yoshinaga N, Doi N, Fujiwara K. Mode selection mechanism in traveling and standing waves revealed by Min wave reconstituted in artificial cells. SCIENCE ADVANCES 2022; 8:eabm8460. [PMID: 35675408 PMCID: PMC9177070 DOI: 10.1126/sciadv.abm8460] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
Reaction-diffusion coupling (RDc) generates spatiotemporal patterns, including two dynamic wave modes: traveling and standing waves. Although mode selection plays a substantial role in the spatiotemporal organization of living cell molecules, the mechanism for selecting each wave mode remains elusive. Here, we investigated a wave mode selection mechanism using Min waves reconstituted in artificial cells, emerged by the RDc of MinD and MinE. Our experiments and theoretical analysis revealed that the balance of membrane binding and dissociation from the membrane of MinD determines the mode selection of the Min wave. We successfully demonstrated that the transition of the wave modes can be regulated by controlling this balance and found hysteresis characteristics in the wave mode transition. These findings highlight a previously unidentified role of the balance between activators and inhibitors as a determinant of the mode selection of waves by RDc and depict an unexplored mechanism in intracellular spatiotemporal pattern formations.
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Affiliation(s)
- Sakura Takada
- Department of Biosciences and Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
| | - Natsuhiko Yoshinaga
- Mathematical Science Group, WPI Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Katahira 2-1-1, Aoba-Ku, Sendai 980-8577, Japan
- MathAM-OIL, AIST, Sendai 980-8577, Japan
- Corresponding author. (N.Y.); (K.F.)
| | - Nobuhide Doi
- Department of Biosciences and Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
| | - Kei Fujiwara
- Department of Biosciences and Informatics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
- Corresponding author. (N.Y.); (K.F.)
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