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Bhattacharya S, Banerjee T, Miao Y, Zhan H, Devreotes PN, Iglesias PA. Traveling and standing waves mediate pattern formation in cellular protrusions. SCIENCE ADVANCES 2020; 6:eaay7682. [PMID: 32821814 PMCID: PMC7413732 DOI: 10.1126/sciadv.aay7682] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/16/2019] [Accepted: 06/26/2020] [Indexed: 05/04/2023]
Abstract
The mechanisms regulating protrusions during amoeboid migration exhibit excitability. Theoretical studies have suggested the possible coexistence of traveling and standing waves in excitable systems. Here, we demonstrate the direct transformation of a traveling into a standing wave and establish conditions for the stability of this conversion. This theory combines excitable wave stopping and the emergence of a family of standing waves at zero velocity, without altering diffusion parameters. Experimentally, we show the existence of this phenomenon on the cell cortex of some Dictyostelium and mammalian mutant strains. We further predict a template that encompasses a spectrum of protrusive phenotypes, including pseudopodia and filopodia, through transitions between traveling and standing waves, allowing the cell to switch between excitability and bistability. Overall, this suggests that a previously-unidentified method of pattern formation, in which traveling waves spread, stop, and turn into standing waves that rearrange to form stable patterns, governs cell motility.
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Affiliation(s)
- Sayak Bhattacharya
- Department of Electrical and Computer Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, USA
| | - Tatsat Banerjee
- Department of Chemical and Biomolecular Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, USA
- Department of Cell Biology and Center for Cell Dynamics, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
| | - Yuchuan Miao
- Department of Cell Biology and Center for Cell Dynamics, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
- Department of Biological Chemistry, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
| | - Huiwang Zhan
- Department of Cell Biology and Center for Cell Dynamics, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
- Department of Biological Chemistry, Johns Hopkins University School of Medicine, 725 N. Wolfe Street, Baltimore, MD 21205, USA
| | - Peter N. Devreotes
- Department of Cell Biology and Center for Cell Dynamics, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
| | - Pablo A. Iglesias
- Department of Electrical and Computer Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, USA
- Department of Cell Biology and Center for Cell Dynamics, Johns Hopkins School of Medicine, 725 N. Wolfe St., Baltimore, MD 21205, USA
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Kevrekidis YG, Kiss IZ, Kori H, Krischer K. Introduction to Focus Issue: In Memory of John L. Hudson: Self-Organized Structures in Chemical Systems. CHAOS (WOODBURY, N.Y.) 2018; 28:045001. [PMID: 31906653 DOI: 10.1063/1.5033452] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Affiliation(s)
- Yannis G Kevrekidis
- Department of Chemical and Biomolecular Engineering, Whiting School of Engineering, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA
| | - István Z Kiss
- Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, USA
| | - Hiroshi Kori
- Department of Information Sciences, Ochanomizu University, Tokyo 112-8610, Japan
| | - Katharina Krischer
- Department of Physics, Technical University of Munich, James-Franck-Str. 1, D-85748 Garching, Germany
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