Non-Markovian properties and multiscale hidden Markovian network buried in single molecule time series.

We present a novel scheme to extract a multiscale state space network (SSN) from single-molecule time series. The multiscale SSN is a type of hidden Markov model that takes into account both multiple states buried in the measurement and memory effects in the process of the observable whenever they exist. Most biological systems function in a nonstationary manner across multiple timescales. Combined with a recently established nonlinear time series analysis based on information theory, a simple scheme is proposed to deal with the properties of multiscale and nonstationarity for a discrete time series. We derived an explicit analytical expression of the autocorrelation function in terms of the SSN. To demonstrate the potential of our scheme, we investigated single-molecule time series of dissociation and association kinetics between epidermal growth factor receptor (EGFR) on the plasma membrane and its adaptor protein Ash/Grb2 (Grb2) in an in vitro reconstituted system. We found that our formula successfully reproduces their autocorrelation function for a wide range of timescales (up to 3 s), and the underlying SSNs change their topographical structure as a function of the timescale; while the corresponding SSN is simple at the short timescale (0.033-0.1 s), the SSN at the longer timescales (0.1 s to ~3 s) becomes rather complex in order to capture multiscale nonstationary kinetics emerging at longer timescales. It is also found that visiting the unbound form of the EGFR-Grb2 system approximately resets all information of history or memory of the process.

Multiple-state reactions between the epidermal growth factor receptor and Grb2 as observed by using single-molecule analysis.

Phosphorylation of the cytoplasmic tyrosine residues of the epidermal growth factor receptor (EGFR) upon binding of EGF induces recognition of various intracellular signaling molecules, including Grb2. Here, the reaction kinetics between EGFR and Grb2 was analyzed by visualizing single molecules of Grb2 conjugated to the fluorophore Cy3 (Cy3-Grb2). The plasma membrane fraction was purified from human epithelial carcinoma A431 cells after stimulation with EGF and attached to coverslips. Unitary events of association and dissociation of Cy3-Grb2 on the EGFR in the membrane fraction were observed at different concentrations of Grb2 (0.1-100 nM). The dissociation kinetics could be explained by using a multiple-exponential function with a major (>90%) dissociation rate of 8 s(-1) and a few minor components, suggesting the presence of multiple bound states. In contrast, the association kinetics could be described by a stretched exponential function, suggesting the presence of multiple reaction channels from many unbound substates. Transitions between the unbound substates were also suggested. Unexpectedly, the rate of association was not proportional to the Grb2 concentration: an increase in Cy3-Grb2 concentration by a factor of 10 induced an increase in the reaction frequency approximately by a factor of three. This effect can compensate for fluctuation of the signal transduction from EGFR to Grb2 caused by variations in the expression level of Grb2 in living cells.

Covalent immobilization of epidermal growth factor molecules for single-molecule imaging analysis of intracellular signaling.

We have developed cell stimulative system by covalently immobilized signalling molecules on the surface of coverslips on which cells are later cultured. N-(6-maleimidocaproyloxy)sulfo-succinimide (sulfo-EMCS) cross-links the amino-terminal of epidermal growth factors (EGF) with the thiol-modified glass surface without degrading EGF's physiological activity. The glass surface was covered up to about 1.0 EGF moleculesnm(-2) with uniform density. This density can be controlled by changing concentration of the maleimide-modified EGF in the solution reacting with the thiol-modified glass coverslips. When the density of EGF was only slightly lower than that of EGF receptor dimers, cellular response was dramatically decreased. The EGF receptor molecules bound with the immobilized EGF were prevented from lateral diffusion and internalization and kept their initial position. These properties are useful for quantitative, spatial and temporal control of the input signal stimulating cells in cellular signaling system studies. In addition, the immobility of the EGF in this system makes suitable targets for stable single-molecule observation under total internal reflection fluorescence microscopy (TIR-FM) to study EGF signalling mechanism, preventing lateral diffusion and internalization of EGF receptors. Here we show results of single-molecule observations of the association and dissociation between phosphorylated EGF receptors and Cy3-labeled growth factor receptor-binding protein 2 (Grb2) proteins in A431 cells stimulated by the immobilized EGF and discuss the utility of this method for the study of intracellular signal transduction.

Palmitoylated Ras proteins traffic through recycling endosomes to the plasma membrane during exocytosis.

Ras proteins regulate cell growth, death, and differentiation, and it is well established that this functional versatility is accomplished through their different subcellular localizations. Palmitoylated H- and N-Ras are believed to localize at the perinuclear Golgi and plasma membrane (PM). Notably, however, recycling endosomes (REs) also localize to a perinuclear region, which is often indistinguishable from the Golgi. In this study, we show that active palmitoylated Ras proteins mainly localize intracellularly at REs and that REs act as a way station along the post-Golgi exocytic pathway to the PM. H-Ras requires two palmitoyl groups for RE targeting. The lack of either or both palmitoyl groups leads to the mislocalization of the mutant proteins to the endoplasmic reticulum, Golgi apparatus, or the PM. Therefore, we demonstrate that palmitoylation directs Ras proteins to the correct intracellular organelles for trafficking and activity.

Protein phosphorylation regulates actomyosin-driven vesicle movement in cell extracts isolated from the green algae, Chara corallina.

In Characean cells endoplasmic streaming stops upon membrane depolarization accompanied by Ca(2+) entry. We investigated the mechanism of this cessation of endoplasmic streaming by reconstituting the vesicle movement in vitro. In a living cell of Chara corallina, there are a number of vesicles moving along actin cables. Vesicles in the endoplasm squeezed out of the cell into a medium containing Mg-ATP showed directional movements under a dark field microscope. When the extracted endoplasm was treated with 20 nM okadaic acid, vesicles showed only movements like the Brownian motion. When it was treated with 50 nM staurosporine, directional movements of vesicles were activated. These movements were analyzed by image processing of videomicroscopic records. Vesicle movements along F-actin filaments were also observed by merging both images of the same field by dark field microscopy and fluorescence microscopy, indicating that myosin on the vesicle surface was responsible for vesicle movements. We also examined the effects of okadaic acid and staurosporine on in vitro sliding of F-actin on Chara myosin. When Chara myosin was treated with 20 nM okadaic acid in the cell extract, the number of sliding F-actin filaments was greatly reduced. In contrast, it increased when Chara myosin was treated with 50 nM staurosporine. In addition, Chara myosin treated with protein kinase C greatly diminished its motility. These results suggest that inactivation of Chara myosin via its phosphorylation is responsible for cessation of endoplasmic streaming.

Optical bioimaging: from living tissue to a single molecule: single-molecule visualization of cell signaling processes of epidermal growth factor receptor.

Single-molecule imaging is an ideal technology to study molecular mechanisms of biological reactions in vitro. Recently, this technology has been extended to real-time observation of fluorescent dye-labeled molecules in living cells. Total internal reflection fluorescence microscopy is the major technique for this purpose. Using this technique, we have studied the process of early signal transduction of epidermal growth factor (EGF) in single molecules: binding of EGF to its receptor (EGFR) on the cell surface, dimerization of EGFR induced by binding of EGF, fluctuation of the structure of EGFR clusters, activation of EGFR through tyrosine phosphorylations on its cytoplasmic domain, and recognition of activated EGFR by a cytoplasmic adaptor protein, Grb2. EGF induces intracellular calcium response, sometimes caused by less than one hundred EGF molecules. Single-molecule studies suggested that this highly sensitive response to EGF was due to the amplification of the EGFR signal using dynamic clustering, reorganization of the dimers, and lateral mobility of EGFR on the cell surface. Through these studies, single-molecule analysis has proven to be a powerful technology to analyze intracellular protein systems.