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The structural basis of protein folding and its links with human disease.

The ability of proteins to fold to their functional states following synthesis in the intracellular environment is one of the most remarkable features of biology. Substantial progress has recently been made towards understanding the fundamental nature of the mechanism of the folding process. This understanding has been achieved through the development and concerted application of a variety of novel experimental and theoretical approaches to this complex problem. The emerging view of folding is that it is a stochastic process, but one biased by the fact that native-like interactions between residues are on average more stable than non-native ones. The sequences of natural proteins have emerged through evolutionary processes such that their unique native states can be found very efficiently even in the complex environment inside a living cell. But under some conditions proteins fail to fold correctly, or to remain correctly folded, in living systems, and this failure can result in a wide range of diseases. One group of diseases, known as amyloidoses, which includes Alzheimer's and the transmissible spongiform encephalopathies, involves deposition of aggregated proteins in a variety of tissues. These diseases are particularly intriguing because evidence is accumulating that the formation of the highly organized amyloid aggregates is a generic property of polypeptides, and not simply a feature of the few proteins associated with recognized pathological conditions. That such aggregates are not normally found in properly functional biological systems is again a testament to evolution, in this case of a variety of mechanisms inhibiting their formation. Understanding the nature of such protective mechanisms is a crucial step in the development of strategies to prevent and treat these debilitating diseases.

Aging↗

Protein folding and its links with human disease.

The ability of proteins to fold to their functional states following synthesis in the intracellular environment is one of the most remarkable features of biology. Substantial progress has recently been made towards understanding the fundamental nature of the mechanism of the folding process. This understanding has been achieved through the development and concerted application of a variety of novel experimental and theoretical approaches to this complex problem. The emerging view of folding is that it is a stochastic process, but one biased by the fact that native-like interactions between residues are, on average, more stable than non-native ones. The sequences of natural proteins have emerged through evolutionary processes such that their unique native states can be found very efficiently even in the complex environment inside a living cell. But under some conditions proteins fail to fold correctly, or to remain correctly folded, in living systems, and this failure can result in a wide range of diseases. One group of diseases, known as amyloidoses, which includes Alzheimer's disease and the transmissible spongiform encephalopathies, involves deposition of aggregated proteins in a variety of tissues. These diseases are particularly intriguing because evidence is accumulating that the formation of the highly organized amyloid aggregates is a generic property of polypeptides, and not simply a feature of the few proteins associated with recognized pathological conditions. That such aggregates are not normally found in properly functional biological systems is again a testament to evolution, in this case of a variety of mechanisms inhibiting their formation. Understanding the nature of such protective mechanisms is a crucial step in the development of strategies to prevent and treat these debilitating diseases.

Amyloid↗

[Humoral regulation of stem cell proliferation].

The central feature of hematopoiesis is life-long, stable cell renewal. This process is supported by hemopoietic stem cells which, in the steady state, appear to be dormant in cell cycling. The recruitment of the dormant stem cells into cell cycle may be promoted by such factors as interleukin (IL)-1, IL-6, granulocyte-colony stimulating factor (G-CSF), and newly discovered IL-11. The effects of IL-1 on stem cells may be indirect. Once the stem cells leave Go and begin proliferation, the subsequent process is characterized by continued proliferation and differentiation. Though several models of stem cell differentiation have been proposed, micromanipulation studies of individual progenitors suggest that the commitment of multipotential progenitors to single lineages is a stochastic process. The proliferation of early hemopoietic progenitors requires the presence of IL-3 and/or IL-4, and the intermediate process appears to be supported by granulocyte/macrophage-CSF (GM-CSF). Once the progenitors are committed to individual lineages, the subsequent maturation process appears to be supported by late-acting, lineage-specific factors such as erythropoietin (erythropoiesis), G-CSF (neutrophil production), and IL-5 (eosinophilopoiesis). Thus, hemopoietic proliferation appears to be regulated by a cascade of factors directed at different developmental stages.

Animals↗

Collective phenomena in intracellular processes.

Intracellular transport and cytoskeletal organization are the result of an interaction between elastic filaments and force generation by motor proteins. The observed phenomena are still too complex for a complete theoretical description. Studies on simple model systems reveal interesting collective phenomena which can be understood on the basis of driven stochastic processes far from equilibrium.

Animals↗

Estimating hidden morbidity via its effect on mortality and disability.

The applicability of the theory of partially observed finite-state Markov processes to the study of disease, morbidity, and disability is explored. A method is developed for the continuous updating of parameter estimates over time in longitudinal studies analogous to Kalman filtering in continuous valued continuous time stochastic processes. It builds on a model of filtering of incompletely observed finite-state Markov processes subject to mortality due to Yashin et al. The method of estimation is based on maximum likelihood theory and the incompleteness in the observation of the process is dealt with by applying missing information principles in maximum likelihood estimation.

Aged↗

The development of cell lineages: a sequential model.

The concept of cell lineage and the empirical characterization of specific lineages provide valuable insight into the problems of developmental biology. Of central interest is the decision-making process that results in the diversification of cell lines. Studies of the haemopoietic system, in which stem cells can be committed to one of at least six pathways of differentiation, have suggested that the restriction of differentiation potentials is a progressive and stochastic process. We have recently proposed an alternative model which hypothesizes that lineage potentials during haemopoiesis are expressed individually and in a predetermined sequence as progenitor cells mature. The model first arises from experimental studies which show that both normal myeloid progenitor cells and a human promyeloid cell line, which are able to differentiate towards either neutrophils or monocytes, express these potentials sequentially in culture. The close linear relationship between other haemopoietic progenitor cells is inferred from collective data from studies of bipotent progenitor cells and of haemopoietic proliferative disorders. If the development of haemopoietic cell lineages shows a tendency to follow a particular program, such a mechanism is likely to operate throughout development. In this paper we consider the evidence in favour of programmed events within progenitor cells implementing diversification, and the implications of predetermined and restricted pathways of embryonic development.

Animals↗

Level-crossing statistics of the horizontal wind speed in the planetary surface boundary layer.

The probability density of the times for which the horizontal wind remains above or below a given threshold speed is of some interest in the fields of renewable energy generation and pollutant dispersal. However there appear to be no analytic or conceptual models which account for the observed power law form of the distribution of these episode lengths over a range of over three decades, from a few tens of seconds to a day or more. We reanalyze high resolution wind data and demonstrate the fractal character of the point process generated by the wind speed level crossings. We simulate the fluctuating wind speed by a Markov process which approximates the characteristics of the real (non-Markovian) wind and successfully generates a power law distribution of episode lengths. However, fundamental questions concerning the physical basis for this behavior and the connection between the properties of a continuous-time stochastic process and the fractal statistics of the point process generated by its level crossings remain unanswered. (c) 2001 American Institute of Physics.

Journal Article↗

Induction of foci of morphologically transformed cells in synchronized populations of 10T1/2 cells by N-methyl-N'-nitro-N-nitrosoguanidine and the effect of spontaneous transformation on calculated transformation frequency.

Exposure of synchronized C3H10T1/2 (clone 8) cell populations of various sizes to N-methyl-N'-nitro-N-nitrosoguanidine (MNNG) at a concentration of 2 micrograms/ml for 30 min at 24 h after release from confluence-induced arrest of proliferation produced neoplastic transformation (formation of foci of morphologically altered cells) by a random but episodic process in a small fraction of the cells at risk soon after treatment. The fraction of dishes that contained type II or type III foci increased as the number of cells at risk increased. In contrast, the development of spontaneous foci is a stochastic process that depends on the number of new cells that form during population growth and is independent of the number of cells that are plated (J. W. Grisham et al., Cancer Res., 48: 5969-5976,1988). When there were small numbers of cells at risk, spontaneous formation of foci was a source of considerable error in evaluating MNNG-induced transformation frequency. In surviving cell populations of less than 1000-3000 cells/100-mm dish, the frequency of induction of foci by MNNG could not be distinguished statistically from the frequency with which foci were expected to form spontaneously. When the fraction of MNNG-treated dishes that contained foci was adjusted for the fraction of pooled control dishes that contained foci, the number of foci induced by a uniform dose of MNNG was found to vary with the number of surviving cells. However, the MNNG-induced transformation frequencies calculated by the Poisson method were independent of the size of the population of cells at risk, provided the population of cells at risk was of sufficient size to allow spontaneous and induced transformation to be distinguished statistically. The results of this study show that the frequency of MNNG-induced transformation can be quantitated in cultures of 10T1/2 cells that contain varying but sufficient numbers of cells at risk when spontaneous transformation is considered. Furthermore, these observations suggest that MNNG-induced transformation of 10T1/2 cells occurs with the frequency and characteristics of a mutation-like change involving a single gene.

Animals↗

Multiplicative noise in the longitudinal mode dynamics of a bulk semiconductor laser.

We analyze theoretically and experimentally the influence of current noise on the longitudinal mode hopping dynamics of a bulk semiconductor laser. It is shown that the mean residence times on each mode have different sensitivity to external noise added to the bias current. In particular, an increase of the noise level enhances the residence time on the longitudinal mode that dominates at low current, evidencing the multiplicative nature of the stochastic process. A two-mode rate equation model for a semiconductor laser is able to reproduce the experimental findings. Under a suitable separation of the involved time scales, the model can be reduced to a one-dimensional bistable potential system with a multiplicative stochastic term related to the current noise strength. The reduced model clarifies the influence of the different noise sources on the hopping dynamics.

Journal Article↗

Selectivity of chemoreceptor neuron.

Discriminating ability (selectivity) of chemoreceptor neuron is compared with that of its receptor proteins. The process of neuronal triggering is expected to be cooperative and threshold-type in a sense that the neuron can fire if and only if the number of its receptor proteins, which are bound with odor molecules, is above a definite threshold. Both deterministic and stochastic pictures are considered. The stochastic case is treated based on birth and death stochastic process and first passage technique. In both pictures, it is shown that a chemoreceptor neuron can have much a higher selectivity than its individual receptor proteins, provided the chemical stimuli are presented at low concentrations, and the threshold is high enough. This is in agreement with a preliminary estimate based on simplified probabilistic reasoning (Vidybida, A.K., 1999. Cooperative mechanism for improving the discriminating ability in the chemoreceptive neuron. Binomial case. Biol. Cybern. 81, 469-473). The mechanism of selectivity improvement is similar to that described before in cooperative chemical systems. A possibility for this mechanism to be valid at higher stages of processing of chemical signals, as well as in other sensory systems is discussed.

Chemoreceptor Cells↗

Complex RNA maturation in chloroplasts. The psbB operon from spinach.

The psbB operon of the spinach plastid chromosome encodes the genes for the 51-kDa chlorophyll a apoprotein (psbB), the 10-kDa phosphoprotein (psbH), both associated with photosystem II, as well as cytochrome b6 (petB) and subunit IV (petD) of the cytochrome b/f complex in the order given. These genes are not expressed coordinately. The RNA pattern of this DNA region is complex and resolves into eighteen major RNA species. Using northern and S1 protection analysis we demonstrate (a) that all RNA species derive from one DNA strand and hybridize in an overlapping fashion; and (b) that they arise by processing rather than by multiple transcription initiation/termination. (c) The operon is bordered by a single prokaryote-like promotor in front of psbB, and by a putative factor-independent terminator with characteristic sequence elements following petD. The terminator appears to function bidirectionally. (d) At least four distinct modification activities operate on the putative primary transcript of 5650 nucleotides and on the processing intermediates, including a novel endonucleolytic activity cleaving within a characteristic hexanucleotide motif, 3'-exonucleolytic activity at discrete RNA ends, 5' shortage of mRNA (psbB), and excision of class II intervening sequences (petB and petD). (e) Kinetically, maturation of the primary transcript is largely a stochastic process. (f) Processing results ultimately in the formation of monocistronic mRNAs for each of the two photosystem II polypeptides and a bicistronic mRNA encoding both subunits of the cytochrome b/f complex. We postulate that these RNA species represent the translationally active components in the non-coordinate dark/light expression of these genes. (g) Light is without any noticeable effect on posttranscriptional modification. Under our conditions it appears to operate at a translational rather than a transcriptional or posttranscriptional level indicating that the biogenesis of thylakoid membranes is regulated at various levels.

Amino Acid Sequence↗

What is life?

Life is a composite process in nature that is as fundamental as the laws of physics that govern the behavior of the inanimate world. The laws of physics change qualitatively as we go from the macroscopic to the atomic and subatomic domains. Likewise, the behavior of living systems changes dramatically when a certain level of complexity, including social organization, has been reached. Moreover, live systems may change the projected course of the inanimate world, as they are already doing on our tiny planet. In brief, life does not only "make the world turn around," it can do this for the whole universe. Consequently, life is probably the most significant process in nature; it is also the least predictable. The behavior of live systems is unpredictable. Unlike the inanimate universe that can be readily modeled using a limited number of parameters, the perpetually increasing complexity of living systems defies modeling. If we would have used all the information available about the behavior of live systems on this planet just five million years ago, we could never have come up with a model describing human civilization of today. Such a prediction would have been, obviously, much harder if we knew everything about living systems on this planet five hundred million years ago. The nonpredictability of the behavior of living systems is not solely due to its stochastic nature. The behavior of live systems is unpredictable because it is based on interactions among millions of independent or partially dependent stochastic processes involving both live and inanimate systems. The number of different pathways constituting such behavior is virtually infinite. This makes the predictability of such behavior qualitatively different from that of conventional stochastic behavior, which is based on a finite number of parameters, each with a finite number of degrees of freedom. Furthermore, unlike statistical mechanics, which are applicable to inanimate systems, the behavior of living systems cannot be delimited by an analog to Heisenberg's uncertainty principle. The answer to the question "What is life?" is, in brief: Life is a multifunctional process in nature that is as fundamental as the basic "laws" of physics, used to model the behavior of the inanimate world. Like those "laws," life can control the behavior of our universe, including its lifespan.

Biological Evolution↗

Contour interactions between pairs of Gabors engaged in binocular rivalry reveal a map of the association field.

A psychophysical study was conducted to investigate contour interactions (the 'association field'). Two Gabor patches were presented to one eye, with random-dot patches in corresponding locations of the other eye so as to produce binocular rivalry. Perceptual alternations of the two rivalry processes were monitored continuously by observers and the two time series were cross-correlated. The Gabors were oriented collinearly, obliquely, or orthogonally, and spatial separation was varied. A parallel condition was also included. Correlation between the rivalry processes strongly depended on separation and relative orientation. Correlations between adjacent collinear Gabors was near-perfect and reduced with spatial separation and as relative orientation departed from collinear. Importantly, variations in cross-correlation did not alter the rivalry processes (average dominance duration, and therefore alternation rate, was constant across conditions). Instead, synchronisation of rivalry oscillations accounts for the correlation variations: rivalry alternations were highly synchronised when contour interactions were strong and were poorly synchronised when contour interactions were weak. The level of synchrony between these two stochastic processes, in depending on separation and relative orientation, effectively reveals a map of the association field. These association fields are not greatly affected by contrast, and can be demonstrated between contours that are presented to separate hemispheres.

Computer Graphics↗

Metagenomic Insights into Microbial Assembly and Key Metabolic Genes Driving Flavor Formation in Spontaneously Fermented Zhejiang Rosy Vinegar.

The spontaneous fermentation of Zhejiang rosy vinegar (ZRV) is driven by environmental microbiota, but the processes underlying its flavor formation remain poorly understood. Using metagenomic sequencing, we investigated microbial community assembly, environmental drivers, and metabolic networks during industrial-scale ZRV fermentation. Acetic acid dominated the final organic acids. Community assembly shifted toward deterministic selection with rising acidity, with a slight rebound of stochastic processes in the late stage (R2 values of 0.442 and 0.346 for bacteria and fungi, respectively). Mantel tests confirmed that environmental factors significantly regulated microbial assembly. Co-occurrence networks grew more complex, with positive interactions accounting for 85.24% (bacteria) and 90.10% (fungi) in the late stage. Key genes (ldh, gapA, pgk) from Acetobacter pasteurianus and Lactobacillus acetotolerans dominated late-stage fermentation, while genes (adhP, SDH) from Aspergillus oryzae and Saccharomyces cerevisiae supported early- and mid-stage fermentation. These findings elucidate microbiota-driven metabolic pathways in ZRV, supporting the fermentation window optimization and industrial vinegar quality standardization.

Acetic Acid↗

Stability and change in longitudinal water-level task performance.

Three longitudinal samples of children (N = 481), 8 to 16 years old, were assessed 3 times at yearly intervals on 8 water-level items. The within-child change in task performance over age is viewed as a stochastic process of the child changing or remaining in 1 of 3 latent (strategy) states: (a) bottom-parallel responders, (b) random responders, or (c) accurate responders. A random-effects binomial mixture distribution is used to model performance at each age. Change over age is gauged by a stochastic transition model. Although there was improvement in task performance over age, the more general finding is that strategy stability, not change, is most typical.

Adolescent↗

[Cytogenetic processes in the course of Triticum aestivum and Haynatricum hybridization].

Meiosis in hybrids obtained in direct and return crossings between Haynatricum and wheat was studied. In F1 hybrids the possibility of stimulation of homoeologous pairing between the chromosomes of T. aestivum and T. dicoccum and, probably, H. villosum, if Haynatricum was used as pollinator, has been shown. This process is considerably intensified when the genes regulating chromosome pairing, in particular ph1b mutation, are used. In reciprocal crosses it was shown that wheat genotypes can differently influence on homoeologous chromosome pairing. In BC1 and F2 generations the chromosome compositions are determining which arise as a result of stochastic processes in premeiotic mitoses and in meiosis in F1 hybrids.

Chromosome Pairing↗

The RNA folding problem: a variational problem within an adiabatic approximation.

Biopolymer folding is an expeditious process taking place within timescales incommensurably shorter than ergodic times. Furthermore, its robustness suggests that the process must depend on a relatively coarse level of resolution of conformation space. To account for these features while focusing on the RNA context, we derive a variational principle formulated within an adiabatic approximation obtained by integrating out fast-relaxing molecular motions. Folding pathways are generated by means of a stochastic process which begets a least effort principle reflecting a stepwise minimization of the conformational entropy cost for each folding event with concurrent maximization of the base pairing. This economy of the process is found to have kinetic consequences if we treat base-pairing contact patterns (BPPs) adiabatically, that is, as quasi-equilibrium states: the probability distribution of overall folding timespans associated to the process resolved at the BPP level is maximized at the brachistochrone or overall least-time pathway for functionally-competent RNAs. In turn, this pathway is shown to yield all the phylogenetically-conserved structural features of the active conformation within biologically-relevant timescales.

Base Sequence↗

The linear process of somatic evolution.

Cancer is the consequence of an unwanted evolutionary process. Cells receive mutations that alter their phenotype. Especially dangerous are those mutations that increase the net reproductive rate of cells, thereby leading to neoplasia and later to cancer. The standard models of evolutionary dynamics consider well mixed populations of individuals in symmetric positions. Here we introduce a spatially explicit, asymmetric stochastic process that captures the essential architecture of evolutionary dynamics operating within tissues of multicellular organisms. The "linear process" has the property of cancelling out selective differences among cells yet retaining the protective function of apoptosis. This design can slow down the rate of somatic evolution dramatically and therefore delay the onset of cancer.

Animals↗