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Benoist F, Saggiorato G, Lenz M. Generic stress rectification in nonlinear elastic media. SOFT MATTER 2023; 19:2970-2976. [PMID: 37014008 PMCID: PMC10131159 DOI: 10.1039/d2sm01606k] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Indexed: 05/17/2023]
Abstract
Stress propagation in nonlinear media is crucial in cell biology, where molecular motors exert anisotropic force dipoles on the fibrous cytoskeleton. While the force dipoles can be either contractile or expansile, a medium made of fibers which buckle under compression rectifies these stresses towards a biologically crucial contraction. A general understanding of this rectification phenomenon as a function of the medium's elasticity is however lacking. Here we use theoretical continuum elasticity to show that rectification is actually a very general effect in nonlinear materials subjected to anisotropic internal stresses. We analytically show that both bucklable and constitutively linear materials subjected to geometrical nonlinearities rectify small forces towards contraction, while granular-like materials rectify towards expansion. Using simulations, we moreover show that these results extend to larger forces. Beyond fiber networks, these results could shed light on the propagation of stresses in brittle or granular materials following a local plastic rearrangement.
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Affiliation(s)
- Félix Benoist
- Université Paris-Saclay, CNRS, LPTMS, 91400, Orsay, France.
| | | | - Martin Lenz
- Université Paris-Saclay, CNRS, LPTMS, 91400, Orsay, France.
- PMMH, CNRS, ESPCI Paris, PSL University, Sorbonne Université, Université de Paris, F-, 75005, Paris, France
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Lenz M. Reversal of contractility as a signature of self-organization in cytoskeletal bundles. eLife 2020; 9:51751. [PMID: 32149609 PMCID: PMC7082124 DOI: 10.7554/elife.51751] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2019] [Accepted: 03/05/2020] [Indexed: 12/13/2022] Open
Abstract
Bundles of cytoskeletal filaments and molecular motors generate motion in living cells, and have internal structures ranging from very organized to apparently disordered. The mechanisms powering the disordered structures are debated, and existing models predominantly predict that they are contractile. We reexamine this prediction through a theoretical treatment of the interplay between three well-characterized internal dynamical processes in cytoskeletal bundles: filament assembly and disassembly, the attachement-detachment dynamics of motors and that of crosslinking proteins. The resulting self-organization is easily understood in terms of motor and crosslink localization, and allows for an extensive control of the active bundle mechanics, including reversals of the filaments’ apparent velocities and the possibility of generating extension instead of contraction. This reversal mirrors some recent experimental observations, and provides a robust criterion to experimentally elucidate the underpinnings of both actomyosin activity and the dynamics of microtubule/motor assemblies in vitro as well as in diverse intracellular structures ranging from contractile bundles to the mitotic spindle.
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Affiliation(s)
- Martin Lenz
- Université Paris-Saclay, CNRS, LPTMS, Orsay, France.,PMMH, CNRS, ESPCI Paris, PSL University, Sorbonne Université, Université de Paris, Paris, France
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Rubinstein BY, Mogilner A. Myosin Clusters of Finite Size Develop Contractile Stress in 1D Random Actin Arrays. Biophys J 2017; 113:937-947. [PMID: 28834729 DOI: 10.1016/j.bpj.2017.07.003] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/03/2017] [Revised: 06/29/2017] [Accepted: 07/05/2017] [Indexed: 01/08/2023] Open
Abstract
Myosin-powered force generation and contraction in nonmuscle cells underlies many cell biological processes and is based on contractility of random actin arrays. This contractility must rely on a microscopic asymmetry, the precise mechanism of which is not completely clear. A number of models of mechanical and structural asymmetries in actomyosin contraction have been posited. Here, we examine a contraction mechanism based on a finite size of myosin clusters and anisotropy of force generation by myosin heads at the ends of the myosin clusters. We use agent-based numerical simulations to demonstrate that if average lengths of actin filaments and myosin clusters are similar, then the proposed microscopic asymmetry leads to effective contraction of random 1D actomyosin arrays. We discuss the model's implication for mechanics of contractile rings and stress fibers.
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Affiliation(s)
- Boris Y Rubinstein
- Stowers Institute, Kansas City, Missouri, New York University, New York, New York
| | - Alex Mogilner
- Courant Institute of Mathematical Sciences, New York University, New York, New York; Department of Biology, New York University, New York, New York.
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A Combination of Actin Treadmilling and Cross-Linking Drives Contraction of Random Actomyosin Arrays. Biophys J 2016; 109:1818-29. [PMID: 26536259 DOI: 10.1016/j.bpj.2015.09.013] [Citation(s) in RCA: 44] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2015] [Revised: 09/14/2015] [Accepted: 09/18/2015] [Indexed: 01/02/2023] Open
Abstract
We investigate computationally the self-organization and contraction of an initially random actomyosin ring. In the framework of a detailed physical model for a ring of cross-linked actin filaments and myosin-II clusters, we derive the force balance equations and solve them numerically. We find that to contract, actin filaments have to treadmill and to be sufficiently cross linked, and myosin has to be processive. The simulations reveal how contraction scales with mechanochemical parameters. For example, they show that the ring made of longer filaments generates greater force but contracts slower. The model predicts that the ring contracts with a constant rate proportional to the initial ring radius if either myosin is released from the ring during contraction and actin filaments shorten, or if myosin is retained in the ring, while the actin filament number decreases. We demonstrate that a balance of actin nucleation and compression-dependent disassembly can also sustain contraction. Finally, the model demonstrates that with time pattern formation takes place in the ring, worsening the contractile process. The more random the actin dynamics are, the higher the contractility will be.
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Kakiuchi Y, Ueda T. Multiple oscillations in changing cell shape by the plasmodium of Physarum polycephalum: general formula governing oscillatory phenomena by the Physarum plasmodium. BIOL RHYTHM RES 2006. [DOI: 10.1080/09291010500386618] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Yasutaka Kakiuchi
- a Research Institute for Electronic Science , Hokkaido University , Sapporo, 060-0812, Japan
- b Cell Biology and Biochemistry, Faculty of Science , Ochanomizu University , 2-1-1 Ohtsuka, Tokyo, 112-8610, Japan
| | - Tetsuo Ueda
- a Research Institute for Electronic Science , Hokkaido University , Sapporo, 060-0812, Japan
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Affiliation(s)
- F Oosawa
- Aichi Institute of Technology, Yagusa, Toyota 470-0392, Japan
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Abstract
The plant actin cytoskeleton is characterized by a high diversity in regard to gene families, isoforms, and degree of polymerization. In addition to the most abundant F-actin assemblies like filaments and their bundles, G-actin obviously assembles in the form of actin oligomers composed of a few actin molecules which can be extensively cross-linked into complex dynamic meshworks. The role of the actomyosin complex as a force generating system - based on principles operating as in muscle cells - is clearly established for long-range mass transport in large algal cells and specialized cell types of higher plants. Extended F-actin networks, mainly composed of F-actin bundles, are the structural basis for this cytoplasmic streaming of high velocities On the other hand, evidence is accumulating that delicate meshworks built of short F-actin oligomers are critical for events occurring at the plasma membrane, e.g., actin interventions into activities of ion channels and hormone carriers, signaling pathways based on phospholipids, and exo- and endocytotic processes. These unique F-actin arrays, constructed by polymerization-depolymerization processes propelled via synergistic actions of actin-binding proteins such as profilin and actin depolymerizing factor (ADF)/cofilin are supposed to be engaged in diverse aspects of plant morphogenesis. Finally, rapid rearrangements of F-actin meshworks interconnecting endocellular membranes turn out to be especially important for perception-signaling purposes of plant cells, e.g., in association with guard cell movements, mechano- and gravity-sensing, plant host-pathogen interactions, and wound-healing.
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Affiliation(s)
- D Volkmann
- Botany Institute, University of Bonn, Germany.
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Spector I, Braet F, Shochet NR, Bubb MR. New anti-actin drugs in the study of the organization and function of the actin cytoskeleton. Microsc Res Tech 1999; 47:18-37. [PMID: 10506759 DOI: 10.1002/(sici)1097-0029(19991001)47:1<18::aid-jemt3>3.0.co;2-e] [Citation(s) in RCA: 256] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
The high degree of structural and molecular complexity of the actin-based cytoskeleton, combined with its ability to reorganize rapidly and locally in response to stimuli, and its force-generating properties, have made it difficult to assess how the different actin structures are assembled in cells, and how they regulate cell behavior. An obvious approach to study the relationships between actin organization, dynamics, and functions is the specific perturbation of actin structures using pharmacological means. Until recently there were only a few agents available that interfered with cellular activities by binding to actin and most of our knowledge concerning the involvement of actin in basic cellular processes was based on the extensive use of the cytochalasins. In recent years we have identified an increasing number of actin-targeted marine natural products, including the latrunculins, jasplakinolides (jaspamides), swinholide A, misakinolide A, halichondramides, and pectenotoxin II, which are discussed in this article. All these marine-sponge-derived compounds are unusual macrolides and can be classified into several major families, each with its own distinct chemical structures. We describe the current state of knowledge concerning the actin-binding properties of these compounds and show that each class of drugs alters the distribution patterns of actin in a unique way, and that even within a chemical class, structurally similar compounds can have different biochemical properties and cellular effects. We also discuss the effects of these new drugs on fenestrae formation in liver endothelial cells as an example of their usefulness as powerful tools to selectively unmask actin-mediated dynamic processes.
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Affiliation(s)
- I Spector
- Department of Physiology and Biophysics, SUNY at Stony Brook, Stony Brook, New York 11794-8661, USA.
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Guillén G, Valdés-López V, Noguez R, Olivares J, Rodríguez-Zapata LC, Pérez H, Vidali L, Villanueva MA, Sánchez F. Profilin in Phaseolus vulgaris is encoded by two genes (only one expressed in root nodules) but multiple isoforms are generated in vivo by phosphorylation on tyrosine residues. THE PLANT JOURNAL : FOR CELL AND MOLECULAR BIOLOGY 1999; 19:497-508. [PMID: 10504572 DOI: 10.1046/j.1365-313x.1999.00542.x] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
Actin-binding proteins such as profilins participate in the restructuration of the actin cytoskeleton in plant cells. Profilins are ubiquitous actin-, polyproline-, and inositol phospholipid-binding proteins, which in plants are encoded by multigene families. By 2D-PAGE and immunoblotting, we detected as much as five profilin isoforms in crude extracts from nodules of Phaseolus vulgaris. However, by immunoprecipitation and gel electrophoresis of in vitro translation products from nodule RNA, only the most basic isoform of those found in nodule extracts, was detected. Furthermore, a bean profilin cDNA probe hybridised to genomic DNA digested with different restriction enzymes, showed either a single or two bands. These data indicate that profilin in P. vulgaris is encoded by only two genes. In root nodules only one gene is expressed, and a single profilin transcript gives rise to multiple profilin isoforms by post-translational modifications of the protein. By in vivo 32P-labelling and immunoprecipitation with both, antiprofilin and antiphosphotyrosine-specific antibodies, we found that profilin is phosphorylated on tyrosine residues. Since chemical (TLC) and immunological analyses, as well as plant tyrosine phosphatase (AtPTP1) treatments of profilin indicated that tyrosine residues were phosphorylated, we concluded that tyrosine kinases must exist in plants. This finding will focus research on tyrosine kinases/tyrosine phosphatases that could participate in novel regulatory functions/pathways, involving not only this multifunctional cytoskeletal protein, but other plant proteins.
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Affiliation(s)
- G Guillén
- Plant Molecular Biology Department, Institute of Biotechnology UNAM, Cuernavaca, Orelos, Mexico
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Ohl C, Stockem W. Distribution and function of myosin II as a main constituent of the microfilament system in Physarum polycephalum. Eur J Protistol 1995. [DOI: 10.1016/s0932-4739(11)80445-1] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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