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We investigate a simple cell-chemotaxis model for the generation of spatial patterns in cell aggregations. For simple boundary-value problems, we analyse the local and global bifurcation of spatially heterogeneous patterns away from the uniform equilibria as the total number of cells is varied. We also discuss the existence of periodic spatially structured solutions for the cells and chemoattractant in the infinite domain.
Canopy temperature has long been recognized as an indicator of plant water status and as a potential tool for irrigation scheduling. In the present study, the potential of using thermal images for an in-field estimation of the water status of cotton under a range of irrigation regimes was investigated. Thermal images were taken with a radiometric infrared video camera. Specific leaves that appeared in the camera field of view were sampled, their LWP was measured and their temperature was calculated from the images. Regression models were built in order to predict LWP according to the crop canopy temperature and to the empirical formulation of the crop water stress index (CWSI). Statistical analysis revealed that the relationship between CWSI and LWP was more stable and had slightly higher correlation coefficients than that between canopy temperature and LWP. The regression models of LWP against CWSI and against leaf temperatures were used to create LWP maps. The classified LWP maps showed that there was spatial variability in each treatment, some of which may be attributed to the difference between sunlit and shaded leaves. The distribution of LWP in the maps showed that irrigation treatments were better distinguished from each other when the maps were calculated from CWSI than from leaf temperature alone. Furthermore, the inclusion of the spatial pattern in the classification enhanced the differences between the treatments and was better matched to irrigation amounts. Optimal determination of the water status from thermal images should be based on an overall view of the physical status as well as on the analysis of the spatial structure. Future study will involve investigating the robustness of the models and the potential of using water status maps, derived from aerial thermal images, for irrigation scheduling and variable management in commercial fields.
The K homology (KH) module is a widespread RNA-binding motif that has been detected by sequence similarity searches in such proteins as heterogeneous nuclear ribonucleoprotein K (hnRNP K) and ribosomal protein S3. Analysis of spatial structures of KH domains in hnRNP K and S3 reveals that they are topologically dissimilar and thus belong to different protein folds. Thus KH motif proteins provide a rare example of protein domains that share significant sequence similarity in the motif regions but possess globally distinct structures. The two distinct topologies might have arisen from an ancestral KH motif protein by N- and C-terminal extensions, or one of the existing topologies may have evolved from the other by extension, displacement and deletion. C-terminal extension (deletion) requires ss-sheet rearrangement through the insertion (removal) of a ss-strand in a manner similar to that observed in serine protease inhibitors serpins. Current analysis offers a new look on how proteins can change fold in the course of evolution.
It is found that T4 phage DNA complexed with histone H1 assembled into a string-of-bead structure, when the complex is prepared by a gentle diluting procedure from a high salt solution (2 M NaCl) to a low salt solution (50 mM NaCl). We used fluorescence microscopy to perform the real-time observation on formation and motion of a string-of-bead structure. Spatial histone H1 distribution on the DNA-H1 complex is observed by immuno-fluorescence microscopy.
A classification of hypotheses on the advantage of amphimixis over apomixis is presented. According to "Immediate Benefit" hypotheses, amphimixis is advantageous regardless of reciprocal gene exchange, because either it directly increases fitness of the progeny, reduces the deleterious mutation rate, or makes selection more efficient. In contrast, "Variation and Selection" hypotheses attribute the advantage of amphimixis to the reciprocal gene exchange that alters genetic variability and response to selection among the progeny. Most such hypotheses assume that amphimixis increases variability and efficiency of selection, but some claim that amphimixis decreases response to selection. Variation and Selection hypotheses require that some factor, either random drift or epistatic selection, makes distributions of different alleles nonindependent, while another factor, either changes of the genotype fitnesses or deleterious mutations, makes overrepresented genotypes non-optimal. Numerous Variation and Selection hypotheses, dealing with either unstructured or spatially structured populations, are reviewed. Two of them seem most plausible: better responsiveness of the amphimictic population to widely fluctuating selection, and lower mutation load in the amphimictic population under synergistic selection against deleterious mutations. In both cases the large advantage of amphimixis requires rather stringent conditions, which could be falsified by careful experiment. Further progress in understanding the evolution of amphimixis will depend mostly on such experimental work.
It is a well known phenomenon that the occurrence of several distinct amino acids at the C-terminus of proteins is non-random. We have analysed all Saccharomyces cerevisiae proteins predicted by computer databases and found lysine to be the most frequent residue both at the last (-1) and at the penultimate amino acid (-2) positions. To test the hypothesis that C-terminal basic residues efficiently bind to phospholipids we randomly expressed GST-fusion proteins from a yeast genomic library. Fifty-four different peptide fragments were found to bind phospholipids and 40% of them contained lysine/arginine residues at the (-1) or (-2) positions. One peptide showed high sequence similarity with the yeast protein Sip18p. Mutational analysis revealed that both C-terminal lysine residues of Sip18p are essential for phospholipid-binding in vitro. We assume that basic amino acid residues at the (-1) and (-2) positions in C-termini are suitable to attach the C-terminus of a given protein to membrane components such as phospholipids, thereby stabilizing the spatial structure of the protein or contributing to its subcellular localization. This mechanism could be an additional explanation for the C-terminal amino acid bias observed in proteins of several species.
Our present understanding of the molecular mechanisms responsible for the recognition of tRNAs by their cognate aminoacyl-tRNA synthetases (aaRS) is essentially based on three sources of information: 1) the characterization of tRNA identity determinants using in vivo and in vitro approaches, 2) the classification of synthetases from primary sequence analysis: aaRS can be partitioned into two classes according to the spatial structure of their ATP binding domain, and 3) the structural results of crystallographic investigations and solution studies. The crystal structures of three aaRS and two complexes, one of each class, are known to atomic resolution. tRNA recognition has two structural components. The interaction between the acceptor end and the active site domain is class-specific and the binding mode of the stem observed in the crystal structures of GlnRS-tRNA(Gln) and AspRS-tRNA(Asp) complexes can be generalized to their respective classes. Identity determinants located in other parts of the tRNA molecule are decoded by different domains of the enzyme. These protein modules exhibit a large structural diversity. The recognition process is then system or subgroup specific.
A novel class of polyanionic proteins with potent anti-human immunodeficiency virus type 1 activity, the negatively charged albumins (NCAs), have been reported previously. In vitro antiviral assays established that these compounds preferentially inhibit virus-cell fusion and syncytium formation and that virus-cell binding is less affected. Here the interaction of the NCAs with synthetic peptides composed of 15-36 amino acids and corresponding to different parts of the gp120 envelope protein is described. Among the gp120 peptides tested, binding of the NCAs was observed only with the s0-called V3 loop (amino acids 296-330) and the C-terminal part of gp120. A higher number of negatively charged residues in the albumins resulted in higher binding affinities. NCAs in which, in addition to negative charges, up to 7 or 14 lactose or mannose groups were introduced, respectively did not exhibit increasing binding affinity. In contrast, mannosylated albumin containing about 14 mannose groups showed an increased binding compared with native albumin. Binding of the NCAs to the V3 and C-terminal oligopeptide was competitively inhibited by sulfated polysaccharide heparin and dextran sulfate. This finding indicates that the binding between the gp120 peptides and the NCAs is likely caused by electrostatic interactions. However, the fact that the dissociation constants of dextran sulfate and heparin are orders of magnitude larger compared with the NCAs indicates that the spatial structure of the proteins and/or hydrophobic interactions between the NCAs and the envelope protein may also be involved.
A Bayesian hierarchical model was used to study the spatial variation in mortality risk from lung and pleural cancer in both sexes, and breast and soft tissue sarcoma (STS) in women in Piedmont (north-west Italy, average population 4 349 411) from 1980 to 2000. Of these four neoplasms, two are common (lung and breast) and two rare (pleura and STS); two have well recognized risk factors (lung and pleura) while the other two (breast and STS) have no single strong risk factor. Data were analysed at a small-area level (1206 municipalities, population 39 to 989 663), using both standardized mortality ratios and Bayesian-estimated mortality risks. The Bayesian model allowed for both heterogeneity (through spatially independent random effects) and clustering (through spatially correlated random effects) and, by borrowing information from neighbouring areas, provided stable estimates for areas with sparse data. The aim was to reduce the noise in the disease maps to highlight the true underlying mortality distribution. Lung cancer in men showed strong spatial structure with a marked east-west gradient, but no appreciable urban-rural differences. In contrast, high mortality areas for female lung cancer were observed around conurbations. Female breast cancer and STS appeared to be spread uniformly across the region. Pleural cancer mortality clusters were evident around areas with major asbestos manufacturers, or natural asbestiform fibre pollution. Maps of Bayesian-estimated mortality risk provided appreciably clearer pictures of risk distribution than did maps of the standardized mortality ratio.
The absence of adaptive host responses to virulent parasites and pathogens is paradoxical. We explored the theoretical possibility that the evolution of antiparasitic egg-ejection strategies was delayed by avian hosts' lifetime experiences with brood parasitism. An analytical model indicated that individual hosts' repeated exposure to parasitism decreased the relative benefits of learning-based rejecter strategies when parasitism was particularly costly. Because brood parasitic brown-headed cowbirds (Molothrus ater) and their hosts are typically philopatric across breeding attempts, spatially and temporally non-random patterns of parasitism may contribute to low levels of observed egg-ejection by vulnerable cowbird hosts. In support, we found that in three populations of two host species individual females experienced repeated cowbird parasitism during their lifetimes. We propose that repeated parasitism contributes to counterintuitive patterns of coevolutionary dynamics in spatially structured host-parasite populations.
A discrete model for a host-pathogen system is developed and is used to represent the dynamics in each patch within a landscape of n x n patches. These patches are linked by between-generation dispersal to neighbouring patches. Important results (compared to similar 'coupled map lattice' studies) include an increase in the likelihood of metapopulation extinction if the natural loss of pathogen particles is low, and the observation of a radial wave pattern (not previously reported) where the wavefront propagates uniformly from a central focus. This result has additional significance in that it permits the system to exhibit 'intermittency' between two quasi-stable spatial patterns: spirals and radial waves. With intermittent behaviour, the dynamics may look consistent when viewed at one time scale, but over a longer time scale they can alter dramatically and repeatedly between the two patterns. There is also evidence of clear links between spatial structure and temporal metapopulation behaviour in both the intermittent and 'pure' regions, verified by results from an algorithmic complexity measure and a spectral analysis of the temporal dynamics.
Why are some discases more virulent than others? Vector-borne diseases such as malaria and water-borne diseases such as cholera are generally more virulent than diseases spread by direct contagion. One factor that characterizes both vector- and water-borne diseases is their ability to spread over long distances, thus causing infection of susceptible individuals distant from the infected individual. Here we show that this ability of the pathogen to infect distant individuals in a spatially structured host population leads to the evolution of a more virulent pathogen. We use a lattice model in which reproduction is local but infection can vary between completely local to completely global. With completely global infection the evolutionarily stable strategy (ESS) is the same as in mean-field models while a lower virulence is predicted as infection becomes more local. There is characteristically a period of relatively moderate increase in virulence followed by a more rapid rise with increasing proportions of global infection as we move beyond a 'critical connectivity'. In the light of recent work emphasizing the existence of 'small world' networks in human populations, our results suggests that if the world is getting 'smaller'--as populations become more connected--diseases may evolve higher virulence.
It is often the case that individuals in a social group can perform certain tasks (such as hunting, for example) more efficiently if they collaborate with other individuals than if they act alone. In such situations one is necessarily faced with the problem of how the resource obtained as the result of such a collaboration should be divided among the collaborating individuals. If one of the individuals in the collaboration is in a position (through its dominance rank, for example) to impose a particular division of the resource on the other members of the collaboration then we show that an evolutionary dilemma arises which prevents such collaborations being evolutionarily stable. This dilemma, which is closely related to the well-known Ultimatum Game, results from the fact that in such situations natural selection favours individuals who, if dominant, offer smaller and smaller shares of the resource to the others and, if subdominant, will accept lower and lower offers. We also show, however, that this dilemma is naturally resolved in a spatially structured population with selection favouring the evolution of a fair division of the resource and consequently ensuring the evolutionary stability of collaborations of this type.
Despite the considerable evidence showing that dispersal between habitat patches is often asymmetric, most of the metapopulation models assume symmetric dispersal. In this paper, we develop a Monte Carlo simulation model to quantify the effect of asymmetric dispersal on metapopulation persistence. Our results suggest that metapopulation extinctions are more likely when dispersal is asymmetric. Metapopulation viability in systems with symmetric dispersal mirrors results from a mean field approximation, where the system persists if the expected per patch colonization probability exceeds the expected per patch local extinction rate. For asymmetric cases, the mean field approximation underestimates the number of patches necessary for maintaining population persistence. If we use a model assuming symmetric dispersal when dispersal is actually asymmetric, the estimation of metapopulation persistence is wrong in more than 50% of the cases. Metapopulation viability depends on patch connectivity in symmetric systems, whereas in the asymmetric case the number of patches is more important. These results have important implications for managing spatially structured populations, when asymmetric dispersal may occur. Future metapopulation models should account for asymmetric dispersal, while empirical work is needed to quantify the patterns and the consequences of asymmetric dispersal in natural metapopulations.
In this paper a computational scheme for motion perception in artificial and natural vision systems is described. The scheme is motivated by a mathematical analysis in which first-order spatial properties of optical flow, such as singular points and elementary components of optical flow, are shown to be salient features for the computation and analysis of visual motion. The fact that different methods for the computation of optical flow produce similar results is explained in terms of the simple spatial structure of the image motion of rigid bodies. Singular points and elementary flow components are used to compute motion parameters, such as time-to-collision and angular velocity, and also to segment the visual field into areas which correspond to different motions. Then a number of biological implications are discussed. Electrophysiological findings suggest that the brain perceives visual motion by detecting and analysing optical flow components. However, the cortical neurons, which seem to detect elementary flow components, are not able to extract these components from more complex flows. A simple model for the organization of the receptive field of these cells, which is consistent with anatomical and electrophysiological data, is described at the end of the paper.
The acquisition of spatial structure in proteins may be described in terms of hierarchical condensation, with contributions of local interactions between next neighbours and the interactions between domains and subunits accumulating to create the marginal free energy of stabilization characteristic of the functional state of globular proteins. Domains represent independent folding units such that the overall kinetics divide into the sequential collapse of subdomains and domains and their merging to form the compact tertiary structure. In proceeding to oligomeric proteins, docking of subunits follows the formation of structured monomers. Thus, the overall mechanism of folding and association obeys consecutive uni-bimolecular kinetics. Beyond a limiting protein concentration, aggregation will outrun proper domain pairing and subunit association. In the cell, accessory proteins are involved in catalysis of the rate-determining steps of folding (proline isomerization and SH-SS exchange) and in the kinetic partitioning between folding and aggregation (chaperone action). The practical aspects of accessory proteins have been investigated in detail using immunotoxins and antibody fragments as examples. Additional concepts allowing off-pathway reactions in protein reconstruction to be kept to a minimum refer to pulse-dilation, reverse micelles and immobilization of polypeptide chains on matrices.
The first part of this paper surveys emerging pathogens of wildlife recorded on the ProMED Web site for a 2-year period between 1998 and 2000. The majority of pathogens recorded as causing disease outbreaks in wildlife were viral in origin. Anthropogenic activities caused the outbreaks in a significant majority of cases. The second part of the paper develops some matrix models for quantifying the basic reproductive number, R(0), for a variety of potential types of emergent pathogen that cause outbreaks in wildlife. These analyses emphasize the sensitivity of R(0) to heterogeneities created by either the spatial structure of the host population, or the ability of the pathogens to utilize multiple host species. At each stage we illustrate how the approach provides insight into the initial dynamics of emergent pathogens such as canine parvovirus, Lyme disease, and West Nile virus in the United States.
The origin of altruism is a fundamental problem in evolution, and the maintenance of biodiversity is a fundamental problem in ecology. These two problems combine with the fundamental microbiological question of whether it is always advantageous for a unicellular organism to grow as fast as possible. The common basis for these three themes is a trade-off between growth rate and growth yield, which in turn is based on irreversible thermodynamics. The trade-off creates an evolutionary alternative between two strategies: high growth yield at low growth rate versus high growth rate at low growth yield. High growth yield at low growth rate is a case of an altruistic strategy because it increases the fitness of the group by using resources economically at the cost of decreased fitness, or growth rate, of the individual. The group-beneficial behaviour is advantageous in the long term, whereas the high growth rate strategy is advantageous in the short term. Coexistence of species requires differences between their niches, and niche space is typically divided into four 'axes' (time, space, resources, predators). This neglects survival strategies based on cooperation, which extend the possibilities of coexistence, arguing for the inclusion of cooperation as the fifth 'axis'. Here, individual-based model simulations show that spatial structure, as in, for example, biofilms, is necessary for the origin and maintenance of this 'primitive' altruistic strategy and that the common belief that growth rate but not yield decides the outcome of competition is based on chemostat models and experiments. This evolutionary perspective on life in biofilms can explain long-known biofilm characteristics, such as the structural organization into microcolonies, the often-observed lack of mixing among microcolonies, and the shedding of single cells, as promoting the origin and maintenance of the altruistic strategy. Whereas biofilms enrich altruists, enrichment cultures, microbiology's paradigm for isolating bacteria into pure culture, select for highest growth rate.