Wave-pinning and cell polarity from a bistable reaction-diffusion system

Motile eukaryotic cells polarize in response to external signals. Numerous mechanisms have been suggested to account for this symmetry breaking and for the ensuing robust polarization. Implicated in this process are various proteins that are recruited to the plasma membrane and segregate at an emergent front or back of the polarizing cell. Among these are PI3K, PTEN, and members of the Rho family GTPases such as Cdc42, Rac, and Rho. Many such proteins, including the Rho GTPases, cycle between active membrane-bound forms and inactive cytosolic forms. In previous work, we have shown that this property, together with appropriate crosstalk, endows a biochemical circuit (Cdc42, Rac, and Rho) with the property of inherent polarizability. Here we show that this property is present in an even simpler system comprised of a single active/inactive protein pair with positive feedback to its own activation. The simplicity of this minimal system also allows us to explain the mechanism using insights from mathematical analysis. The basic idea resides in a well-known property of reaction-diffusion systems with bistable kinetics, namely, propagation of fronts. However, it crucially depends on exchange between active and inactive forms of the chemicals with unequal rates of diffusion, and overall conservation to pin the waves into a stable polar distribution. We refer to these dynamics as wave-pinning and we show that this phenomenon is distinct from Turing-instability-generated pattern formation that occurs in reaction-diffusion systems that appear to be very similar. We explain the mathematical basis of the phenomenon, relate it to spatial segregation of Rho GTPases, and show how it can account for spatial amplification and maintenance of polarity, as well as sensitivity to new stimuli typical in polarization of eukaryotic cells.     

Rho小G蛋白介导的细胞周期调控

Rho小G蛋白作为一个信号分子家族具有多样化的功能, 可以调节细胞骨架重排 、细胞迁移、细胞极性、基因表达、细胞周期调控等. Rho小G蛋白家族对细胞周期 调控的研究主要集中在其对于有丝分裂期细胞的调节作用,包括调节有丝分裂期前 期细胞趋圆化、后期染色体排列及收缩环的收缩作用.近期的研究显示,Rho小G蛋白及其效应分子对于细胞周期G1、S、G2期的调控主要是通过影响细胞周期的正调控因子细胞周期蛋白D1 (cyclin D1) 和负调控因子细胞周期蛋白依赖型激酶相互作用蛋白1及细胞周期蛋白依赖型激酶抑制蛋白27 (p21cip1/p27kip1) 进行的.本文总结了Rho小G蛋白及其效应分子在细胞周期调控,尤其是对G1/S期调控的研究进展,并简要阐述了Rho小G蛋白介导的细胞周期调控异常与癌症发生的关系.     

Unique structural and nucleotide exchange features of the Rho1 GTPase of Entamoeba histolytica

The single-celled human parasite Entamoeba histolytica possesses a dynamic actin cytoskeleton vital for its intestinal and systemic pathogenicity. The E. histolytica genome encodes several Rho family GTPases known to regulate cytoskeletal dynamics. EhRho1, the first family member identified, was reported to be insensitive to the Rho GTPase-specific Clostridium botulinum C3 exoenzyme, raising the possibility that it may be a misclassified Ras family member. Here, we report the crystal structures of EhRho1 in both active and inactive states. EhRho1 is activated by a conserved switch mechanism, but diverges from mammalian Rho GTPases in lacking a signature Rho insert helix. EhRho1 engages a homolog of mDia, EhFormin1, suggesting a role in mediating serum-stimulated actin reorganization and microtubule formation during mitosis. EhRho1, but not a constitutively active mutant, interacts with a newly identified EhRhoGDI in a prenylation-dependent manner. Furthermore, constitutively active EhRho1 induces actin stress fiber formation in mammalian fibroblasts, thereby identifying it as a functional Rho family GTPase. EhRho1 exhibits a fast rate of nucleotide exchange relative to mammalian Rho GTPases due to a distinctive switch one isoleucine residue reminiscent of the constitutively active F28L mutation in human Cdc42, which for the latter protein, is sufficient for cellular transformation. Nonconserved, nucleotide-interacting residues within EhRho1, revealed by the crystal structure models, were observed to contribute a moderating influence on fast spontaneous nucleotide exchange. Collectively, these observations indicate that EhRho1 is a bona fide member of the Rho GTPase family, albeit with unique structural and functional aspects compared with mammalian Rho GTPases.     

Hold on tightly

Signaling regulated by Rho small GTPases plays a pivotal role in cell migration, cell attachment to substratum or to their neighbors among other functions. Concerted efforts have focused on understanding how different GTPases are activated by specific stimuli and which regulator is responsible for the spatio-temporal control of their activity at particular intracellular sites. We have recently described the role of a scaffold protein, Ajuba, in adherens junction maintenance via direct stabilization of activated small GTPase Rac1 at cell–cell contacts. Ajuba binds to both active and inactive forms of Rac1. Upon junction formation, Rac1 activation initiates a positive feedback loop leading to Ajuba phosphorylation and Ajuba-mediated retention of activated Rac1 at junctions. Thus, cytoskeletal proteins may have a dual role to provide a scaffolding platform and dynamically modulate small GTPases function at a specific place, irrespective of their ability to interact with active and inactive forms. Here we discuss similar mechanisms via which cytoskeletal proteins can facilitate cellular processes downstream of Rho proteins by increasing their affinity to activated GTPases.     

Identification of a GTP-bound Rho specific scFv molecular sensor by phage display selection

Background  

The Rho GTPases A, B and C proteins, members of the Rho family whose activity is regulated by GDP/GTP cycling, function in many cellular pathways controlling proliferation and have recently been implicated in tumorigenesis. Although overexpression of Rho GTPases has been correlated with tumorigenesis, only their GTP-bound forms are able to activate the signalling pathways implicated in tumorigenesis. Thus, the focus of much recent research has been to identify biological tools capable of quantifying the level of cellular GTP-bound Rho, or determining the subcellular location of activation. However useful, these tools used to study the mechanism of Rho activation still have limitations. The aim of the present work was to employ phage display to identify a conformationally-specific single chain fragment variable (scFv) that recognizes the active, GTP-bound, form of Rho GTPases and is able to discriminate it from the inactive, GDP-bound, Rho in endogenous settings.     

Mathematical Model for Spatial Segregation of the Rho-Family GTPases Based on Inhibitory Crosstalk

Cdc42, Rac, and Rho are small GTPases known to play a central role in signal transduction to the actin cytoskeleton. These proteins regulate cell motility, by affecting nucleation, uncapping, and depolymerization of actin filaments, and acto-myosin contractility. Studies of crosstalk and mutual feedbacks in these three proteins have led to a number of proposals for their interaction. At the same time, observations of the spatio-temporal dynamics of Rho-family proteins give evidence of spatial polarization and mutual exclusion between Cdc42/Rac and Rho. In this paper, we formulate a mathematical model to account for such observations, based on the known underlying biology of these proteins. We first investigate which of the crosstalk schemes proposed in the literature is consistent with observed dynamics, and then derive a simple model that can correctly describe these dynamics (assuming crosstalk is mediated via Rho GEFs). We show that cooperativity is an essential ingredient in the interactions of the proteins. The co-occurrence of a stable rest state with the possibility of fast spatial segregation can be related to bistability in a set of underlying ODEs in which the inactive forms of these proteins are fixed at a constant level. We show that the fast diffusion of the inactive forms is essential for stabilizing the transition fronts in the PDE formulation of the model, leading to robust spatial polarization, rather than traveling waves.     

Functional characterization of Rho GTPases in Aspergillus niger uncovers conserved and diverged roles of Rho proteins within filamentous fungi

Rho GTPases are signalling molecules regulating morphology and multiple cellular functions including metabolism and vesicular trafficking. To understand the connection between polarized growth and secretion in the industrial model organism Aspergillus niger, we investigated the function of all Rho family members in this organism. We identified six Rho GTPases in its genome and used loss-of-function studies to dissect their functions. While RhoA is crucial for polarity establishment and viability, RhoB and RhoD ensure cell wall integrity and septum formation respectively. RhoC seems to be dispensable for A. niger. RacA governs polarity maintenance via controlling actin but not microtubule dynamics, which is consistent with its localization at the hyphal apex. Both deletion and dominant activation of RacA (Rac(G18V)) provoke an actin localization defect and thereby loss of polarized tip extension. Simultaneous deletion of RacA and CftA (Cdc42) is lethal; however, conditional overexpression of RacA in this strain can substitute for CftA, indicating that both proteins concertedly control actin dynamics. We finally identified NoxR as a RacA-specific effector, which however, is not important for apical dominance as reported for A. nidulans but for asexual development. Overall, the data show that individual Rho GTPases contribute differently to growth and morphogenesis within filamentous fungi.     

Nucleotide exchange factor GEF-H1 mediates cross-talk between microtubules and the actin cytoskeleton

Regulation of the actin cytoskeleton by microtubules is mediated by the Rho family GTPases. However, the molecular mechanisms that link microtubule dynamics to Rho GTPases have not, as yet, been identified. Here we show that the Rho guanine nucleotide exchange factor (GEF)-H1 is regulated by an interaction with microtubules. GEF-H1 mutants that are deficient in microtubule binding have higher activity levels than microtubule-bound forms. These mutants also induce Rho-dependent changes in cell morphology and actin organization. Furthermore, drug-induced microtubule depolymerization induces changes in cell morphology and gene expression that are similar to the changes induced by the expression of active forms of GEF-H1. Furthermore, these effects are inhibited by dominant-negative versions of GEF-H1. Thus, GEF-H1 links changes in microtubule integrity to Rho-dependent regulation of the actin cytoskeleton.     

ARAP3 is a PI3K- and rap-regulated GAP for RhoA

Rho and Arf family small GTPases are well-known regulators of cellular actin dynamics. We recently identified ARAP3, a member of the ARAP family of dual GTPase activating proteins (GAPs) for Arf and Rho family GTPases, in a screen for PtdIns(3,4,5)P(3) binding proteins. PtdIns(3,4,5)P(3) is the lipid product of class I phosphoinositide 3OH-kinases (PI3Ks) and is a signaling molecule used by growth factor receptors and integrins in the regulation of cell dynamics. We report here that as a Rho GAP, ARAP3 prefers RhoA as a substrate and that it can be activated in vitro by the direct binding of Rap proteins to a neighbouring Ras binding domain (RBD). This activation by Rap is GTP dependent and specific for Rap versus other Ras family members. We found no evidence for direct regulation of ARAP3's Rho GAP activity by PtdIns(3,4,5)P(3) in vitro, but PI3K activity was required for activation by Rap in a cellular context, suggesting that PtdIns(3,4,5)P(3)-dependent translocation of ARAP3 to the plasma membrane may be required for further activation by Rap. Our results indicate that ARAP3 is a Rap-effector that plays an important role in mediating PI3K-dependent crosstalk between Ras, Rho, and Arf family small GTPases.     

Differential activation and function of Rho GTPases during Salmonella-host cell interactions

Salmonella enterica, the cause of food poisoning and typhoid fever, has evolved sophisticated mechanisms to modulate Rho family guanosine triphosphatases (GTPases) to mediate specific cellular responses such as actin remodeling, macropinocytosis, and nuclear responses. These responses are largely the result of the activity of a set of bacterial proteins (SopE, SopE2, and SopB) that, upon delivery into host cells via a type III secretion system, activate specific Rho family GTPases either directly (SopE and SopE2) or indirectly (SopB) through the stimulation of an endogenous exchange factor. We show that different Rho family GTPases play a distinct role in Salmonella-induced cellular responses. In addition, we report that SopB stimulates cellular responses by activating SH3-containing guanine nucleotide exchange factor (SGEF), an exchange factor for RhoG, which we found plays a central role in the actin cytoskeleton remodeling stimulated by Salmonella. These results reveal a remarkable level of complexity in the manipulation of Rho family GTPases by a bacterial pathogen.     

Stochastic predation exposes prey to predator pits and local extinction

Understanding how predators affect prey populations is a fundamental goal for ecologists and wildlife managers. A well-known example of regulation by predators is the predator pit, where two alternative stable states exist and prey can be held at a low density equilibrium by predation if they are unable to pass the threshold needed to attain a high density equilibrium. While empirical evidence for predator pits exists, deterministic models of predator–prey dynamics with realistic parameters suggest they should not occur in these systems. Because stochasticity can fundamentally change the dynamics of deterministic models, we investigated if incorporating stochasticity in predation rates would change the dynamics of deterministic models and allow predator pits to emerge. Based on realistic parameters from an elk–wolf system, we found predator pits were predicted only when stochasticity was included in the model. Predator pits emerged in systems with highly stochastic predation and high carrying capacities, but as carrying capacity decreased, low density equilibria with a high likelihood of extinction became more prevalent. We found that incorporating stochasticity is essential to fully understand alternative stable states in ecological systems, and due to the interaction between top–down and bottom–up effects on prey populations, habitat management and predator control could help prey to be resilient to predation stochasticity.     

RhoD regulates cytoskeletal dynamics via the actin nucleation–promoting factor WASp homologue associated with actin Golgi membranes and microtubules

The Rho GTPases have mainly been studied in association with their roles in the regulation of actin filament organization. These studies have shown that the Rho GTPases are essential for basic cellular processes, such as cell migration, contraction, and division. In this paper, we report that RhoD has a role in the organization of actin dynamics that is distinct from the roles of the better-studied Rho members Cdc42, RhoA, and Rac1. We found that RhoD binds the actin nucleation–promoting factor WASp homologue associated with actin Golgi membranes and microtubules (WHAMM), as well as the related filamin A–binding protein FILIP1. Of these two RhoD-binding proteins, WHAMM was found to bind to the Arp2/3 complex, while FILIP1 bound filamin A. WHAMM was found to act downstream of RhoD in regulating cytoskeletal dynamics. In addition, cells treated with small interfering RNAs for RhoD and WHAMM showed increased cell attachment and decreased cell migration. These major effects on cytoskeletal dynamics indicate that RhoD and its effectors control vital cytoskeleton-driven cellular processes. In agreement with this notion, our data suggest that RhoD coordinates Arp2/3-dependent and FLNa-dependent mechanisms to control the actin filament system, cell adhesion, and cell migration.     

Bead-based protein-protein interaction assays for the analysis of Rho GTPase signaling

Bead-based interaction assays are excellently suited to study protein-protein interactions, as they require only minimal amounts of sample material. Miniaturized protein-protein interaction assays were designed to analyze Rho GTPase activation based on its interaction with Rho GDI or p21-activated kinase (PAK).Rho GDI plays a key role in the regulation of a variety of cellular functions through its interaction with Rho GTPases. Rho GDI is frequently overexpressed in many human cancers. Therefore, there is a growing and as yet unfulfilled demand for screening assays to identify biologically active compounds that may inhibit the Rho GTPase-Rho GDI interaction. Bead-based interaction assays provide an interesting alternative that facilitate such assays to be performed faster with only small amounts of material compared to routinely used co-immunoprecipitation followed by Western Blot analysis.Bead-based protein interaction assays for overexpressed HA-tagged Rho GTPases were established to study the GTPγS-dependent interaction of five different Rho GTPases with the regulatory protein Rho GDIα and the downstream effector PAK1. In addition, it was demonstrated that the ability of Rho GTPases to interact with Rho GDI in this experimental system was markedly, but differentially sensitive to post-translational modification of their carboxyl terminus. Importantly, this modification also notably affected the ability of Rac1 and Rac2, but not of Cdc42, to interact with PAK1.     

Blowing-up of deterministic fixed points in stochastic population dynamics

We discuss the stochastic dynamics of biological (and other) populations presenting a limit behaviour for large environments (called deterministic limit) and its relation with the dynamics in the limit. The discussion is circumscribed to linearly stable fixed points of the deterministic dynamics, and it is shown that the cases of extinction and non-extinction equilibriums present different features. Mainly, non-extinction equilibria have associated a region of stochastic instability surrounded by a region of stochastic stability. The instability region does not exist in the case of extinction fixed points, and a linear Lyapunov function can be associated with them. Stochastically sustained oscillations of two subpopulations are also discussed in the case of complex eigenvalues of the stability matrix of the deterministic system.     

The Rho-mDia1 pathway regulates cell polarity and focal adhesion turnover in migrating cells through mobilizing Apc and c-Src

Directed cell migration requires cell polarization and adhesion turnover, in which the actin cytoskeleton and microtubules work critically. The Rho GTPases induce specific types of actin cytoskeleton and regulate microtubule dynamics. In migrating cells, Cdc42 regulates cell polarity and Rac works in membrane protrusion. However, the role of Rho in migration is little known. Rho acts on two major effectors, ROCK and mDia1, among which mDia1 produces straight actin filaments and aligns microtubules. Here we depleted mDia1 by RNA interference and found that mDia1 depletion impaired directed migration of rat C6 glioma cells by inhibiting both cell polarization and adhesion turnover. Apc and active Cdc42, which work together for cell polarization, localized in the front of migrating cells, while active c-Src, which regulates adhesion turnover, localized in focal adhesions. mDia1 depletion impaired localization of these molecules at their respective sites. Conversely, expression of active mDia1 facilitated microtubule-dependent accumulation of Apc and active Cdc42 in the polar ends of the cells and actin-dependent recruitment of c-Src in adhesions. Thus, the Rho-mDia1 pathway regulates polarization and adhesion turnover by aligning microtubules and actin filaments and delivering Apc/Cdc42 and c-Src to their respective sites of action.     

Rac inhibits thrombin-induced Rho activation: evidence of a Pak-dependent GTPase crosstalk

The strict spatio-temporal control of Rho GTPases is critical for many cellular functions, including cell motility, contractility, and growth. In this regard, the prototypical Rho family GTPases, Rho, Rac, and Cdc42 regulate the activity of each other by a still poorly understood mechanism. Indeed, we found that constitutively active forms of Rac inhibit stress fiber formation and Rho stimulation by thrombin. Surprisingly, a mutant of Rac that is unable to activate Pak1 failed to inhibit thrombin signaling to Rho. To explore the underlying mechanism, we investigated whether Pak1 could regulate guanine nucleotide exchange factors (GEFs) for Rho. We found that Pak1 associates with P115-RhoGEF but not with PDZ-RhoGEF or LARG, and knock down experiments revealed that P115-RhoGEF plays a major role in signaling from thrombin receptors to Rho in HEK293T cells. Pak1 binds the DH-PH domain of P115-RhoGEF, thus suggesting a mechanism by which Rac stimulation of Pak1 may disrupt receptor-dependent Rho signaling. In agreement, expression of a dominant-negative Pak-Inhibitory Domain potentiated the activation of Rho by thrombin, and prevented the inhibition of Rho by Rac. These findings indicate that Rac interferes with receptor-dependent Rho stimulation through Pak1, thus providing a mechanism for cross-talk between these two small-GTPases.