Biomedical subjects

Matthias Weiss

Publications and source records attributed to Matthias Weiss.

12 recordsLinked to original sources

PubMed2006

Size-dependent diffusion of membrane inclusions.

Experimentally determined diffusion constants are often used to elucidate the size and oligomeric state of membrane proteins and domains. This approach critically relies on the knowledge of the size-dependence of diffusion. We have used mesoscopic simulations to thoroughly quantify the size-dependent diffusion properties of membrane inclusions. For small radii R, we find that the lateral diffusion coefficient D is well described by the Saffman-Delbrück relation, which predicts a logarithmic decrease of D with R. However, beyond a critical radius Rc approximately hetam/(2etac) (h, bilayer thickness; etam/c, viscosity of the membrane/surrounding solvent) we observe significant deviations and the emergence of an asymptotic scaling D approximately 1/R2. The latter originates from the asymptotic hydrodynamics and the inclusion's internal degrees of freedom that become particularly relevant on short timescales. In contrast to the lateral diffusion, the size dependence of the rotational diffusion constant Dr follows the predicted hydrodynamic scaling Dr approximately 1/R2 over the entire range of sizes studied here.

Algorithms↗

PubMed2006

Sterols regulate ER-export dynamics of secretory cargo protein ts-O45-G.

Alterations in endoplasmic reticulum (ER) cholesterol are fundamental for a variety of cellular processes such as the regulation of lipid homeostasis or efficient protein degradation. We show that reduced levels of cellular sterols cause a delayed ER-to-Golgi transport of the secretory cargo membrane protein ts-O45-G and a relocation to the ER of an endogenous protein cycling between the ER and the Golgi complex. Transport inhibition is characterized by a delay in the accumulation of ts-O45-G in ER-exit sites (ERES) and correlates with a reduced mobility of ts-O45-G within ER membranes. A simple mathematical model describing the kinetics of ER-exit predicts that reduced cargo loading to ERES and not the reduced mobility of ts-O45-G accounts for the delayed ER-exit and arrival at the Golgi. Consistent with this, membrane turnover of the COPII component Sec23p is delayed in sterol-depleted cells. Altogether, our results demonstrate the importance of sterol levels in COPII mediated ER-export.

COP-Coated Vesicles↗

PubMed2006

Secretory cargo regulates the turnover of COPII subunits at single ER exit sites.

The COPII coat complex mediates the formation of transport carriers at specialized sites of the endoplasmic reticulum (ERES). It consists of the Sar1p GTPase and the Sec23/24p and the Sec13/31p subcomplexes . Both stimulate the GTPase activity of Sar1p , which itself triggers coat disassembly. This built-in GAP activity makes the COPII complex in principle unstable and raises the question of how sufficient stability required for cargo capture and carrier formation is achieved. To address this, we analyzed COPII turnover at single ERES in living cells. The half times for Sar1p, Sec23p, and Sec24p turnover are 1.1, 3.7, and 3.9 s, respectively. Decreasing the amount of transport-competent cargo in the endoplasmic reticulum accelerates turnover of the Sec23/24p and slows down that of Sar1p. A mathematical model of COPII membrane turnover that reproduces the experimental in vivo FRAP kinetics and is consistent with existing in vitro data predicts that Sec23/24p remains membrane associated even after GTP hydrolysis by Sar1p for a duration that is strongly increased by the presence of cargo. We conclude that secretory cargo retains the COPII complex on membranes, after Sar1p release has occurred, and prevents premature disassembly of COPII during cargo sorting and transport carrier formation.

Animals↗

PubMed2004

Current relaxation in nonlinear random media.

We study the current relaxation of a wave packet in a nonlinear random sample coupled to the continuum and show that the survival probability decays as P(t) approximately 1/t(alpha). For intermediate times t >t(*) and chi>chi(cr) we find a universal decay with alpha=2/3 which is a signature of the nonlinearity-induced delocalization. Experimental evidence should be observable in coupled nonlinear optical waveguides.

Journal Article↗

PubMed2004

Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells.

Macromolecular crowding dramatically affects cellular processes such as protein folding and assembly, regulation of metabolic pathways, and condensation of DNA. Despite increased attention, we still lack a definition for how crowded a heterogeneous environment is at the molecular scale and how this manifests in basic physical phenomena like diffusion. Here, we show by means of fluorescence correlation spectroscopy and computer simulations that crowding manifests itself through the emergence of anomalous subdiffusion of cytoplasmic macromolecules. In other words, the mean square displacement of a protein will grow less than linear in time and the degree of this anomality depends on the size and conformation of the traced particle and on the total protein concentration of the solution. We therefore propose that the anomality of the diffusion can be used as a quantifiable measure for the crowdedness of the cytoplasm at the molecular scale.

Computer Simulation↗

PubMed2004

In a mirror dimly: tracing the movements of molecules in living cells.

The random movement of molecules (diffusion) is fundamental to most cellular processes, including enzymatic reactions, signalling, protein-protein interaction, as well as domain and pattern formation. Despite playing a central role, diffusion is, to a large extent, under-appreciated in the cell biology community. One reason for this is that diffusion is rather challenging to study in living cells. This article is intended to explain, at least in part, how we can go about studying diffusion of molecules in living cells, why it is important and how it provides us with important clues about biological systems. As the title 'In a mirror dimly' suggests, we do this by monitoring faint light emitted by fluorescent probes or proteins using advanced optics (e.g. mirrors) and electronics. The data are then fitted and interpreted with mathematical and physical models, providing a glimpse into the world of molecules.

Biological Transport↗

PubMed2004

Challenges and artifacts in quantitative photobleaching experiments.

Confocal fluorescence recovery after photobleaching (FRAP) is today the prevalent tool when studying the diffusional and kinetic properties of proteins in living cells. Obtaining quantitative data for diffusion coefficients via FRAP, however, is challenged by the fact that both bleaching and scanning take a finite time. Starting from an experimental case, it is shown by means of computer simulations that this intrinsic temporal limitation can lead to a gross underestimation of diffusion coefficients. Determining the binding kinetics of proteins to membranes with FRAP is further shown to be severely hampered by additional diffusional contributions, e.g. diffusion-limited binding. In some cases, the binding kinetics may even be masked entirely by diffusion. As current efforts to approach biological problems with biophysical models have to rely on experimentally determined model parameters, e.g. binding rates and diffusion constants, it is proposed that the accuracy in evaluating FRAP measurements can be improved by means of accompanying computer simulations.

Fluorescence Recovery After Photobleaching↗

PubMed2003

Stabilizing Turing patterns with subdiffusion in systems with low particle numbers.

The role of subdiffusion in the formation of spatial Turing patterns with particle number fluctuations is studied. It is demonstrated for a generic activator-inhibitor system that for normal diffusion the particle number fluctuations stabilize the homogenous steady state in a regime where the mean-field analysis already predicts stable spatial patterns. In contrast, pattern formation is stabilized considerably even for very low particle numbers when the activator moves subdiffusively while the inhibitor diffuses normally. In particular, this also holds true when the subdiffusive activator spreads faster than the inhibitor on small time scales. Possible applications to pattern formation in cell biology are discussed.

Journal Article↗

PubMed2003

Spatiotemporal dynamics of the COPI vesicle machinery.

Assembly of the coat protein I (COPI) vesicle coat is controlled by the small GTPase ADP ribosylation factor 1 (ARF1) and its GTPase-activating protein, ARFGAP1. Here, we investigate the diffusional behaviours of coatomer, the main component of the coat, and also those of ARF1 and ARFGAP1. Using fluorescence-correlation spectroscopy, we found that most ARF1 and ARFGAP1 molecules are highly mobile in the cytosol (diffusion constant D approximately equal to 15 microm(2) s(-1)), whereas coatomer diffuses 5-10 times more slowly than expected (D approximately equal to 1 microm(2) s(-1)). This slow diffusion causes diffusion-limited binding kinetics to Golgi membranes, which, in FRAP (fluorescence recovery after photobleaching) experiments, translates into a twofold slower binding rate. The addition of aluminium fluoride locks coatomer onto Golgi membranes and also decreases the binding kinetics of both ARF1 and ARFGAP1, suggesting that these proteins function in concert to mediate sorting and vesicle formation.

ADP-Ribosylation Factor 1↗

PubMed2003

Anomalous protein diffusion in living cells as seen by fluorescence correlation spectroscopy.

We investigate the challenges and limitations that are encountered when studying membrane protein dynamics in vivo by means of fluorescence correlation spectroscopy (FCS). Based on theoretical arguments and computer simulations, we show that, in general, the fluctuating fluorescence has a fractal dimension D(0) >or= 1.5, which is determined by the anomality alpha of the diffusional motion of the labeled particles, i.e., by the growth of their mean square displacement as (Deltax)(2) approximately t(alpha). The fractality enforces an initial power-law behavior of the autocorrelation function and related quantities for small times. Using this information, we show by FCS that Golgi resident membrane proteins move subdiffusively in the endoplasmic reticulum and the Golgi apparatus in vivo. Based on Monte Carlo simulations for FCS on curved surfaces, we can rule out that the observed anomalous diffusion is a result of the complex topology of the membrane. The apparent mobility of particles as determined by FCS, however, is shown to depend crucially on the shape of the membrane and its motion in time. Due to this fact, the hydrodynamic radius of the tracked particles can be easily overestimated by an order of magnitude.

Algorithms↗

PubMed2003

A kinetic proof-reading mechanism for protein sorting.

Resident proteins of the exocytic pathway are maintained at various levels through coatomer protein I (COPI)-mediated recycling. Sorting of cargo by COPI requires GTP hydrolysis by ADP-ribosylation factor 1 (ARF-1). This small GTPase recruits coatomer onto Golgi membranes and upon hydrolysis, is thought to release coatomer back into the cytosol. This step requires the activating protein, ARFGAP1. By coupling sorting to a cargo-induced sequestering of ARFGAP1, we have formulated a kinetic proof-reading model that explains how a GTP hydrolysis-driven coat release can yield an active sorting event. The sorting scheme predicts a dependency on the amount of ARFGAP1 and explains the recent experimental findings that ARF-1 and COPI detach with different time constants from the Golgi membrane in vivo.

ADP-Ribosylation Factor 1↗

PubMed2002

Statistics of resonances and delay times: a criterion for metal-insulator transitions.

We study the distributions of the normalized resonance widths P(Gamma;) and delay times P(tau;) for 3D disordered tight-binding systems at the metal-insulator transition (MIT) by attaching leads to the boundary sites. Both distributions are scale invariant, independent of the microscopic details of the random potential and the number of channels. Theoretical considerations suggest the existence of a scaling theory for P(Gamma;) in finite samples, and numerical calculations confirm this hypothesis. Based on this, we give a new criterion for the determination and analysis of the MIT.

Journal Article↗