Complex Monte Carlo Light-Driven Dynamics of Monomers in Functionalized Bond Fluctuation Model Polymer Chains.

We study Monte Carlo dynamics of the monomers and center of mass of a model polymer chain functionalized with azobenzene molecules in the presence of an inhomogeneous linearly polarized laser light. The simulations use a generalized Bond Fluctuation Model. The mean squared displacements of the monomers and the center of mass are analyzed in a period of Monte Carlo time typical for a build-up of Surface Relief Grating. Approximate scaling laws for mean squared displacements are found and interpreted in terms of sub- and superdiffusive dynamics for the monomers and center of mass. A counterintuitive effect is observed, where the monomers perform subdiffusive motion but the resulting motion of the center of mass is superdiffusive. This result disparages theoretical approaches based on an assumption that the dynamics of single monomers in a chain can be characterized in terms of independent identically distributed random variables.

Bridging scales in a multiscale pattern-forming system.

Self-organized pattern formation is vital for many biological processes. Reaction-diffusion models have advanced our understanding of how biological systems develop spatial structures, starting from homogeneity. However, biological processes inherently involve multiple spatial and temporal scales and transition from one pattern to another over time, rather than progressing from homogeneity to a pattern. To deal with such multiscale systems, coarse-graining methods are needed that allow the dynamics to be reduced to the relevant degrees of freedom at large scales, but without losing information about the patterns at small scales. Here, we present a semiphenomenological approach which exploits mass conservation in pattern formation, and enables reconstruction of information about patterns from the large-scale dynamics. The basic idea is to partition the domain into distinct regions (coarse grain) and determine instantaneous dispersion relations in each region, which ultimately inform about local pattern-forming instabilities. We illustrate our approach by studying the Min system, a paradigmatic model for protein pattern formation. By performing simulations, we first show that the Min system produces multiscale patterns in a spatially heterogeneous geometry. This prediction is confirmed experimentally by in vitro reconstitution of the Min system. Using a recently developed theoretical framework for mass-conserving reaction-diffusion systems, we show that the spatiotemporal evolution of the total protein densities on large scales reliably predicts the pattern-forming dynamics. Our approach provides an alternative and versatile theoretical framework for complex systems where analytical coarse-graining methods are not applicable, and can, in principle, be applied to a wide range of systems with an underlying conservation law.

Characterization of Monte Carlo Dynamic/Kinetic Properties of Local Structure in Bond Fluctuation Model of Polymer System.

We report the results of the characterization of local Monte Carlo (MC) dynamics of an equilibrium bond fluctuation model polymer matrix (BFM), in time interval typical for MC simulations of non-linear optical phenomena in host-guest systems. The study contributes to the physical picture of the dynamical aspects of quasi-binary mosaic states characterized previously in the static regime. The polymer dynamics was studied at three temperatures (below, above and close to the glass transition), using time-dependent generalization of the static parameters which characterize local free volume and local mobility of the matrix. Those parameters play the central role in the kinetic MC model of host-guest systems. The analysis was done in terms of the probability distributions of instantaneous and time-averaged local parameters. The main result is the characterization of time scales characteristic of various local structural processes. Slowing down effects close to the glass transition are clearly marked. The approach yields an elegant geometric criterion for the glass transition temperature. A simplified quantitative physical picture of the dynamics of guest molecules dispersed in BFM matrix at low temperatures offers a starting point for stochastic modeling of host-guest systems.

Bulk-surface coupling identifies the mechanistic connection between Min-protein patterns in vivo and in vitro.

Self-organisation of Min proteins is responsible for the spatial control of cell division in Escherichia coli, and has been studied both in vivo and in vitro. Intriguingly, the protein patterns observed in these settings differ qualitatively and quantitatively. This puzzling dichotomy has not been resolved to date. Using reconstituted proteins in laterally wide microchambers with a well-controlled height, we experimentally show that the Min protein dynamics on the membrane crucially depend on the micro chamber height due to bulk concentration gradients orthogonal to the membrane. A theoretical analysis shows that in vitro patterns at low microchamber height are driven by the same lateral oscillation mode as pole-to-pole oscillations in vivo. At larger microchamber height, additional vertical oscillation modes set in, marking the transition to a qualitatively different in vitro regime. Our work reveals the qualitatively different mechanisms of mass transport that govern Min protein-patterns for different bulk heights and thus shows that Min patterns in cells are governed by a different mechanism than those in vitro.

Modeling of Nonlinear Optical Phenomena in Host-Guest Systems Using Bond Fluctuation Monte Carlo Model: A Review.

We review the results of Monte Carlo studies of chosen nonlinear optical effects in host-guest systems, using methods based on the bond-fluctuation model (BFM) for a polymer matrix. In particular, we simulate the inscription of various types of diffraction gratings in degenerate two wave mixing (DTWM) experiments (surface relief gratings (SRG), gratings in polymers doped with azo-dye molecules and gratings in biopolymers), poling effects (electric field poling of dipolar molecules and all-optical poling) and photomechanical effect. All these processes are characterized in terms of parameters measured in experiments, such as diffraction efficiency, nonlinear susceptibilities, density profiles or loading parameters. Local free volume in the BFM matrix, characterized by probabilistic distributions and correlation functions, displays a complex mosaic-like structure of scale-free clusters, which are thought to be responsible for heterogeneous dynamics of nonlinear optical processes. The photoinduced dynamics of single azopolymer chains, studied in two and three dimensions, displays complex sub-diffusive, diffusive and super-diffusive dynamical regimes. A directly related mathematical model of SRG inscription, based on the continuous time random walk (CTRW) formalism, is formulated and studied. Theoretical part of the review is devoted to the justification of the a priori assumptions made in the BFM modeling of photoinduced motion of the azo-polymer chains.

Photoinduced Mass Transport in Azo-Polymers in 2D: Monte Carlo Study of Polarization Effects.

We studied the impact of light polarization on photoinduced dynamics of model azo-polymer chains in two dimensions, using bond-fluctuation Monte Carlo simulations. For two limiting models-sensitive to and independent of light polarization-their dynamics driven by photoisomerization of azo-dyes as well as by thermal effects was studied, including characterization of mass transport and chain reorientations. The corresponding schemes of light-matter interaction promote qualitatively different dynamics of photoinduced motion of azo-polymer chains. In particular, they can inhibit or trigger off a directed mass transport along a gradient of light illumination. The generic dynamics of single chains is superdiffusive and is promoted by breaking a symmetry present in the polarization independent model.

The topology of the ER-resident phospholipid methyltransferase Opi3 of Saccharomyces cerevisiae is consistent with in trans catalysis.

Phospholipid N-methyltransferases (PLMTs) synthesize phosphatidylcholine by methylating phosphatidylethanolamine using S-adenosylmethionine as a methyl donor. Eukaryotic PLMTs are integral membrane enzymes located in the endoplasmic reticulum (ER). Recently Opi3, a PLMT of the yeast Saccharomyces cerevisiae was proposed to perform in trans catalysis, i.e. while localized in the ER, Opi3 would methylate lipid substrates located in the plasma membrane at membrane contact sites. Here, we tested whether the Opi3 active site is located at the cytosolic side of the ER membrane, which is a prerequisite for in trans catalysis. The membrane topology of Opi3 (and its human counterpart, phosphatidylethanolamine N-methyltransferase, expressed in yeast) was addressed by topology prediction algorithms and by the substituted cysteine accessibility method. The results of these analyses indicated that Opi3 (as well as phosphatidylethanolamine N-methyltransferase) has an N-out C-in topology and contains four transmembrane domains, with the fourth forming a re-entrant loop. On the basis of the sequence conservation between the C-terminal half of Opi3 and isoprenyl cysteine carboxyl methyltransferases with a solved crystal structure, we identified amino acids critical for Opi3 activity by site-directed mutagenesis. Modeling of the structure of the C-terminal part of Opi3 was consistent with the topology obtained by the substituted cysteine accessibility method and revealed that the active site faces the cytosol. In conclusion, the location of the Opi3 active site identified here is consistent with the proposed mechanism of in trans catalysis, as well as with conventional catalysis in cis.

Shape and Size Control of Artificial Cells for Bottom-Up Biology.

Bottom-up biology is an expanding research field that aims to understand the mechanisms underlying biological processes via in vitro assembly of their essential components in synthetic cells. As encapsulation and controlled manipulation of these elements is a crucial step in the recreation of such cell-like objects, microfluidics is increasingly used for the production of minimal artificial containers such as single-emulsion droplets, double-emulsion droplets, and liposomes. Despite the importance of cell morphology on cellular dynamics, current synthetic-cell studies mainly use spherical containers, and methods to actively shape manipulate these have been lacking. In this paper, we describe a microfluidic platform to deform the shape of artificial cells into a variety of shapes (rods and discs) with adjustable cell-like dimensions below 5 µm, thereby mimicking realistic cell morphologies. To illustrate the potential of our method, we reconstitute three biologically relevant protein systems (FtsZ, microtubules, collagen) inside rod-shaped containers and study the arrangement of the protein networks inside these synthetic containers with physiologically relevant morphologies resembling those found in living cells.

Complex Dynamics of Photoinduced Mass Transport and Surface Relief Gratings Formation.

The microscopic and semi-macroscopic mechanisms responsible for photoinduced mass transport in functionalized azo-polymers are far from deeply understood. To get some insight into those mechanisms on "microscopic" scale, we studied the directed photoinduced motion of single functionalized polymer chains under various types of polarized light illumination using Monte Carlo bond fluctuation model and our kinetic Monte Carlo model for photoinduced mass transport. We found sub-diffusive, diffusive and super-diffusive regimes of the dynamics of single chains at constant illumination and mostly super-diffusive regime for directed motion in the presence of the gradient of light intensity. This regime is more enhanced for long than for short chains and it approaches the ballistic limit for very long chains. We propose a physical picture of light-driven inscription of Surface Relief Gratings (SRG) as corresponding to a dynamical coexistence of normal and anomalous diffusion in various parts of the system. A simple continuous time random walk model of SRG inscription based on this physical picture reproduced the light-driven mass transport found in experiments as well as the fine structure of SRG.

Lipid Conversion by Cell-Free Synthesized Phospholipid Methyltransferase Opi3 in Defined Nanodisc Membranes Supports an in Trans Mechanism.

Biomembranes composed of lipids and proteins play central roles in physiological processes, and the precise balance between different lipid species is crucial for maintaining membrane function. One pathway for the biosynthesis of the abundant lipid phosphatidylcholine in eukaryotes involves a membrane-integrated phospholipid methyltransferase named Opi3 in yeast. A still unanswered question is whether Opi3 can catalyze phosphatidylcholine synthesis in trans, at membrane contact sites. While evidence for this activity was obtained from studies with complex in vitro-reconstituted systems based on endoplasmic reticulum membranes, isolated and purified Opi3 could not be analyzed. We present new insights into Opi3 activity by characterizing the in vitro-synthesized enzyme in defined hydrophobic environments. Saccharomyces cerevisiae Opi3 was cell-free synthesized and either solubilized in detergent micelles or co-translationally inserted into preformed nanodisc membranes of different lipid compositions. While detergent-solubilized Opi3 was inactive, the enzyme inserted into nanodisc membranes showed activity and stayed monomeric as revealed by native mass spectrometry. The methylation of its lipid substrate dioleoylphosphatidylmonomethylethanolamine to phosphatidylcholine was monitored by one-dimensional 31P nuclear magnetic resonance. Phosphatidylcholine formation was observed not only in nanodiscs containing inserted Opi3 but also in nanodiscs devoid of the enzyme containing the lipid substrate. This result gives a clear indication for in trans catalysis by Opi3; i.e., it acts on the substrate in juxtaposed membranes, while in cis lipid conversion may also contribute. Our established system for the characterization of pure Opi3 in defined lipid environments may be applicable to other lipid biosynthetic enzymes and help in understanding the subcellular organization of lipid synthesis.

The antimalarial drug primaquine targets Fe-S cluster proteins and yeast respiratory growth.

Malaria is a major health burden in tropical and subtropical countries. The antimalarial drug primaquine is extremely useful for killing the transmissible gametocyte forms of Plasmodium falciparum and the hepatic quiescent forms of P. vivax. Yet its mechanism of action is still poorly understood. In this study, we used the yeast Saccharomyces cerevisiae model to help uncover the mode of action of primaquine. We found that the growth inhibitory effect of primaquine was restricted to cells that relied on respiratory function to proliferate and that deletion of SOD2 encoding the mitochondrial superoxide dismutase severely increased its effect, which can be countered by the overexpression of AIM32 and MCR1 encoding mitochondrial enzymes involved in the response to oxidative stress. This indicated that ROS produced by respiratory activity had a key role in primaquine-induced growth defect. We observed that Δsod2 cells treated with primaquine displayed a severely decreased activity of aconitase that contains a Fe-S cluster notoriously sensitive to oxidative damage. We also showed that in vitro exposure to primaquine impaired the activity of purified aconitase and accelerated the turnover of the Fe-S cluster of the essential protein Rli1. It is suggested that ROS-labile Fe-S groups are the primary targets of primaquine. Aconitase activity is known to be essential at certain life-cycle stages of the malaria parasite. Thus primaquine-induced damage of its labile Fe-S cluster - and of other ROS-sensitive enzymes - could inhibit parasite development.

Intracytoplasmic copper homeostasis controls cytochrome c oxidase production.

UNLABELLED: Copper is an essential micronutrient used as a metal cofactor by a variety of enzymes, including cytochrome c oxidase (Cox). In all organisms from bacteria to humans, cellular availability and insertion of copper into target proteins are tightly controlled due to its toxicity. The major subunit of Cox contains a copper atom that is required for its catalytic activity. Previously, we identified CcoA (a member of major facilitator superfamily transporters) as a component required for cbb3-type Cox production in the Gram-negative, facultative phototroph Rhodobacter capsulatus. Here, first we demonstrate that CcoA is a cytoplasmic copper importer. Second, we show that bypass suppressors of a ccoA deletion mutant suppress cbb3-Cox deficiency by increasing cellular copper content and sensitivity. Third, we establish that these suppressors are single-base-pair insertion/deletions located in copA, encoding the major P1B-type ATP-dependent copper exporter (CopA) responsible for copper detoxification. A copA deletion alone has no effect on cbb3-Cox biogenesis in an otherwise wild-type background, even though it rescues the cbb3-Cox defect in the absence of CcoA and renders cells sensitive to copper. We conclude that a hitherto unknown functional interplay between the copper importer CcoA and the copper exporter CopA controls intracellular copper homeostasis required for cbb3-Cox production in bacteria like R. capsulatus. IMPORTANCE: Copper (Cu) is an essential micronutrient required for many processes in the cell. It is found as a cofactor for heme-copper containing cytochrome c oxidase enzymes at the terminus of the respiratory chains of aerobic organisms by catalyzing reduction of dioxygen (O2) to water. Defects in the biogenesis and copper insertion into cytochrome c oxidases lead to mitochondrial diseases in humans. This work shows that a previously identified Cu transporter (CcoA) is a Cu importer and illustrates the link between two Cu transporters, the importer CcoA and the exporter CopA, required for Cu homeostasis and Cu trafficking to cytochrome c oxidase in the cell.

On the nature of carrier relaxation and ion-ion interactions in ultrasmall ß-NaYF4:Eu3+ nanocrystals--effect of the surface.

The purely hexagonal phase of ultrasmall (~10 nm) NaYF(4) nanocrystals (NCs), containing different Eu concentrations, has been obtained by a modified co-thermolysis method. Detailed investigations of the excitation and relaxation mechanisms of the Eu ions in such NCs are reported. Based on the photoluminescence excitation, absorbance, photoluminescence and emission decay times measured as a function of the excitation wavelengths, it has been shown that two Eu sites with different excitation and relaxation characteristics are present in the case of ultrasmall NaYF(4) NCs. It has been shown that, when the Eu concentration increases, strong ion-ion interactions influence the relaxation phenomena in Eu ions, changing their optical properties. Moreover, these ion-ion interactions enable connections between the surface ions and the internal ones via energy transfer from the surface to the NCs core. Furthermore, it has been proposed that the different kinetic properties of the surface Eu ions are mainly caused by the formation of a charge transfer state between the ions and ligand groups attached to the NCs surface.

The ScoI homologue SenC is a copper binding protein that interacts directly with the cbb3-type cytochrome oxidase in Rhodobacter capsulatus.

Sco proteins are widespread assembly factors for the Cu(A) centre of aa3-type cytochrome oxidases in eukaryotic and prokaryotic organisms. However, Sco homologues are also found in bacteria like Rhodobacter capsulatus which lack aa3-type cytochrome oxidases and instead use a cbb3-type cytochrome oxidase (cbb3 Cox) without a Cu(A) centre as a terminal oxidase. In the current study, we have analyzed the role of Sco (SenC) during cbb3 Cox assembly in R. capsulatus. In agreement with earlier works, we found a strong cbb3 Cox defect in the absence of SenC that impairs the steady-state stability of the CcoN, CcoO and CcoP core subunits, without the accumulation of detectable assembly intermediates. In vivo cross-linking results demonstrate that SenC is in close proximity to the CcoP and CcoH subunits of cbb3 Cox, suggesting that SenC interacts directly with cbb3 Cox during its assembly. SenC binds copper and the cbb3 Cox assembly defect in the absence of SenC can be rescued by the addition of least 0.5µM Cu. Neither copper nor SenC influenced the transcription of the ccoNOQP operon encoding for cbb3 Cox. Transcription of senC itself was also not influenced by Cu unless the putative Cu-export ATPase CcoI was absent. As CcoI is specifically required for the cbb3 Cox assembly, these data provide a direct link between Cu delivery to cbb3 Cox and SenC function.

Biogenesis of cbb(3)-type cytochrome c oxidase in Rhodobacter capsulatus.

The cbb(3)-type cytochrome c oxidases (cbb(3)-Cox) constitute the second most abundant cytochrome c oxidase (Cox) group after the mitochondrial-like aa(3)-type Cox. They are present in bacteria only, and are considered to represent a primordial innovation in the domain of Eubacteria due to their phylogenetic distribution and their similarity to nitric oxide (NO) reductases. They are crucial for the onset of many anaerobic biological processes, such as anoxygenic photosynthesis or nitrogen fixation. In addition, they are prevalent in many pathogenic bacteria, and important for colonizing low oxygen tissues. Studies related to cbb(3)-Cox provide a fascinating paradigm for the biogenesis of sophisticated oligomeric membrane proteins. Complex subunit maturation and assembly machineries, producing the c-type cytochromes and the binuclear heme b(3)-Cu(B) center, have to be coordinated precisely both temporally and spatially to yield a functional cbb(3)-Cox enzyme. In this review we summarize our current knowledge on the structure, regulation and assembly of cbb(3)-Cox, and provide a highly tentative model for cbb(3)-Cox assembly and formation of its heme b(3)-Cu(B) binuclear center. This article is part of a Special Issue entitled: Biogenesis/Assembly of Respiratory Enzyme Complexes.

The putative assembly factor CcoH is stably associated with the cbb3-type cytochrome oxidase.

Cytochrome oxidases are perfect model substrates for analyzing the assembly of multisubunit complexes because the need for cofactor incorporation adds an additional level of complexity to their assembly. cbb(3)-type cytochrome c oxidases (cbb(3)-Cox) consist of the catalytic subunit CcoN, the membrane-bound c-type cytochrome subunits CcoO and CcoP, and the CcoQ subunit, which is required for cbb(3)-Cox stability. Biogenesis of cbb(3)-Cox proceeds via CcoQP and CcoNO subcomplexes, which assemble into the active cbb(3)-Cox. Most bacteria expressing cbb(3)-Cox also contain the ccoGHIS genes, which encode putative cbb(3)-Cox assembly factors. Their exact function, however, has remained unknown. Here we analyzed the role of CcoH in cbb(3)-Cox assembly and showed that CcoH is a single spanning-membrane protein with an N-terminus-out-C-terminus-in (N(out)-C(in)) topology. In its absence, neither the fully assembled cbb(3)-Cox nor the CcoQP or CcoNO subcomplex was detectable. By chemical cross-linking, we demonstrated that CcoH binds primarily via its transmembrane domain to the CcoP subunit of cbb(3)-Cox. A second hydrophobic stretch, which is located at the C terminus of CcoH, appears not to be required for contacting CcoP, but deleting it prevents the formation of the active cbb(3)-Cox. This suggests that the second hydrophobic domain is required for merging the CcoNO and CcoPQ subcomplexes into the active cbb(3)-Cox. Surprisingly, CcoH does not seem to interact only transiently with the cbb(3)-Cox but appears to stay tightly associated with the active, fully assembled complex. Thus, CcoH behaves more like a bona fide subunit of the cbb(3)-Cox than an assembly factor per se.

Stability of the cbb3-type cytochrome oxidase requires specific CcoQ-CcoP interactions.

Cytochrome cbb(3)-type oxidases are members of the heme copper oxidase superfamily and are composed of four subunits. CcoN contains the heme b-Cu(B) binuclear center where oxygen is reduced, while CcoP and CcoO are membrane-bound c-type cytochromes thought to channel electrons from the donor cytochrome into the binuclear center. Like many other bacterial members of this superfamily, the cytochrome cbb(3)-type oxidase contains a fourth, non-cofactor-containing subunit, which is termed CcoQ. In the present study, we analyzed the role of CcoQ on the stability and activity of Rhodobacter capsulatus cbb(3)-type oxidase. Our data showed that CcoQ is a single-spanning membrane protein with a N(out)-C(in) topology. In the absence of CcoQ, cbb(3)-type oxidase activity is significantly reduced, irrespective of the growth conditions. Blue native polyacrylamide gel electrophoresis analyses revealed that the lack of CcoQ specifically impaired the stable recruitment of CcoP into the cbb(3)-type oxidase complex. This suggested a specific CcoQ-CcoP interaction, which was confirmed by chemical cross-linking. Collectively, our data demonstrated that in R. capsulatus CcoQ was required for optimal cbb(3)-type oxidase activity because it stabilized the interaction of CcoP with the CcoNO core complex, leading subsequently to the formation of the active 230-kDa cbb(3)-type oxidase complex.