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PubMed1991

A branching-process model for the evolution of transposable elements incorporating selection.

We have formulated a very general mathematical model to analyze the evolution of transposable genetic elements in prokaryotic populations. Transposable genetic elements are DNA sequences able to replicate and insert copies of themselves at new locations in the genome. This work characterizes the equilibrium distribution of copy number under the influence of copy number-dependent selection, transposition and deletion. Our principal results concern the equilibrium distribution of copy number in response to various selective regimes. For particular transposition patterns (e.g., unregulated transposition or copy number-dependent transposition), equilibrium distributions are calculated numerically for a variety of specific selection patterns. Selection is quantified through specification of the expected number of offspring for individuals of each type, which is generally a non-increasing function of copy number, in accord with the usual evolutionary speculations.

Animals↗
PubMed1990

A mathematical model for the evolutions of anthelmintic resistance in a direct life cycle nematode parasite.

Some of the elements required of a mathematical model for the evolution of anthelmintic resistance in strongylid nematodes are described. The model comprises a series of coupled first order differential equations and assumes the parasite has a direct life cycle with overlapping generations. The parasite-host system involved only a single host. In all the cases considered, drug resistance was assumed to be determined by two alleles at a single autosomal locus. The pretreatment allelic frequencies were maintained by heterozygote advantage involving the mortality of the free-living stages of the parasite. The model suggests that alternating anthelmintic with different modes of action may be a less effective resistance management strategy than administering the same drugs simultaneously.

Animals↗
PubMed1992

An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix model.

The evolution of demographic characteristics is considered in terms of the density-dependent Lefkovitch matrix model, which describes a species' population dynamics with a stage-specific pattern of reproduction and mortality. We obtain the invadability condition of a mutant-type into the wild-type population at the equilibrium state. The condition depends on the left and right eigenvectors at the equilibrium state. The condition depends on the left and right eigenvectors at the equilibrium state and the difference, between wild-type and mutant-type populations, of the values of elements in the Lefkovitch matrix at the equilibrium state. It is also shown that if elements of the density-dependent Lefkovitch matrix are decreasing functions of population density, then the equilibrium population density increases in the process of natural selection; that is, K-selection acts even on the stage-structured population. The evolution of life history in perennial plants is discussed through two models as an application of the above results. The evolution of perennial plants with no vegetative reproduction is analyzed in the first example. It is shown that whether monocarpic perennials (which reproduce once and die) or polycarpic perennial plants (which reproduce more than once) are favored depends on the cost of a produced seed. The second example concerns perennial plants that reproduce vegetatively. It is shown that whether monocarpic or polycarpic perennial plants are favored depends on the cost of a seed and that where vegetative reproduction is common, polycarpic perennials with no seed reproduction are favored.

Mathematics↗
PubMed1992

Exon/intron structure of the human alpha 3(IV) gene encompassing the Goodpasture antigen (alpha 3(IV)NC1). Identification of a potentially antigenic region at the triple helix/NC1 domain junction.

The Goodpasture antigen has been identified as the non-collagenous (NC1) domain of alpha 3(IV), a novel collagen IV chain (Saus, J., Wieslander, J., Langeveld, J., Quinones, S., and Hudson, B.G. (1988) J. Biol. Chem. 263, 13374-13380). In the present study, the exon/intron structure and sequence for 285 amino acids of human alpha 3(IV), comprising 53 amino acids of the triple-helical domain and the complete NC1 domain (232 amino acids), were determined. Based on the comparison of the amino acid sequences of the alpha 1(IV), alpha 2(IV), alpha 3(IV), and alpha 5(IV) NC1 domains, a phylogenetic tree was constructed which indicates that alpha 2(IV) was the first chain to evolve, followed by alpha 3(IV), and then by alpha 1(IV) and alpha 5(IV). The exon/intron structure of these domains is consistent with this evolution model. In addition, it appears that alpha 3(IV) changed most after diverging from the parental gene. Analysis of its primary structure reveals that, at the junction between the triple-helical and NC1 domains, there exists a previously unrecognized, highly hydrophilic region (GLKGKRGDSGSPATWTTR) which is unique to the human alpha 3(IV) chain, containing a cell adhesion motif (RGD) as an integral part of a sequence (KRGDSGSP) conforming to a number of protein kinase recognition sites. Based on primary structure data, we outline new aspects to be explored concerning the molecular basis of collagen IV function and Goodpasture syndrome.

Amino Acid Sequence↗
PubMed1990

Tumor progression by DNA flow cytometry in human colorectal cancer.

We wished to better understand the role of aneuploidy during the progression of human colorectal cancer. Fresh or frozen multiple samples from 221 human colorectal adenomas, 93 carcinomas, and corresponding control mucosa were investigated using high-resolution DNA flow cytometry. A total number of 164 DNA abnormal clones were observed and characterized by a quantitative index of DNA aneuploidy (DI). In precancerous lesions the vast majority of DNA abnormal clones (almost 3/4 in adenomas with mild to moderate dysplasia) was hypo- and hyper-diploid with DI values from 0.8 to 1.2 (near-diploidy). In moderately to poorly differentiated carcinomas the vast majority of abnormal clones was near-triploid and hypotetraploid with DI values from 1.4 to 1.8 (near hypertriploidy) and only 12% were near-diploid. Adenomas with foci of carcinomas, a group of special interest since they represent a link in colorectal tumor progression, had median triploid DNA content. In addition to an increase in DI values, the carcinomas had a clear increase in the proportion of cells actively synthesizing DNA (S-phase fraction). These results are interpreted as evidence for a ploidy-evolution model according to which near-diploid clones in adenomas at early stages of dysplasia would derive from abnormal mitotic cells that divide their DNA unequally between two daughter cells. Tetrapolidization of these near-diploid cells and successive DNA loss would then lead in later stages of tumor progression to near-hypertriploid clones characterized by a balance of chromosomes bearing growth-promoting and growth-suppressing genes confering a selective proliferative advantage.

Adenoma↗
PubMed1991

Identification of a unique specificity determinant of the colicin E3 immunity protein.

Plasmid immunity to a nuclease-type colicin is defined by the specific binding of an immunity (or inhibitor) protein, Imm, to the C-terminal nuclease domain, T2A, of the colicin molecule. Whereas most regions of colicin operons exhibit extensive sequence identity, the small plasmid region encoding T2A and Imm is exceptionally varied. Since immunity is essential for the survival of the potentially lethal colicin plasmid (Col), we inferred that T2A and Imm must have co-evolved, retaining their mutual binding specificities. To evaluate this co-evolution model for the col and imm genes of ColE3 and ColE6, we attempted to obtain a stabilized clone from a plasmid which had been destabilized with a non-cognate immunity gene. A hybrid Col, in which the immE3 gene of the ColE3 was replaced with immE6 from ColE6, was lethal to the host cells upon SOS induction. From among this suicidal cell population, we isolated a stabilized, i.e., evolved, clone which produced colicin E3 (E3) stably and exhibited immunity to E3. This change arose from only a single mutation in ImmE6, from Trp48 to Cys, the same residue as in the ImmE3 sequence. In addition, we constructed a series of chimeric genes through homologous recombination between immE3 and immE6. Characterization of these chimeric immunity genes confirmed the above finding that colicins E3 and E6 are mostly distinguished by only Cys48 of the ImmE3 protein.

Amino Acid Sequence↗
PubMed1992

Clonal expansion of p53 mutant cells is associated with brain tumour progression.

Tumour progression is a fundamental feature of the biology of cancer. Cancers do not arise de novo in their final form, but begin as small, indolent growths, which gradually acquire characteristics associated with malignancy. In the brain, for example, low-grade tumours (astrocytomas) evolve into faster growing, more dysplastic and invasive high-grade tumours (glioblastomas). To define the genetic events underlying brain tumour progression, we analysed the p53 gene in ten primary brain tumour pairs. Seven pairs consisted of tumours that were high grade both at presentation and recurrence (group A) and three pairs consisted of low-grade tumours that had progressed to higher grade tumours (group B). In group A pairs, four of the recurrent tumours contained a p53 gene mutation; in three of them, the same mutation was found in the primary tumour. In group B pairs, progression to high grade was associated with a p53 gene mutation. A subpopulation of cells were present in the low-grade tumours that contained the same p53 gene mutation predominant in the cells of the recurrent tumours that had progressed to glioblastoma. Thus, the histological progression of brain tumours was associated with a clonal expansion of cells that had previously acquired a mutation in the p53 gene, endowing them with a selective growth advantage. These experimental observations strongly support Nowell's clonal evolution model of tumour progression.

Amino Acid Sequence↗
PubMed1976

Mechanisms involved in elimination of organisms from experimental cutaneous Candida albicans infections in guinea pigs.

Experimental cutaneous Candida albicans infections were produced in guinea pigs either by using occlusive dressings over the organisms or by applying them to the shaved skin directly without occlusive dressings. In either model there was clearance of the infecting organisms from the skin by a process involving profuse scaling of the keratinized layer in which they were confined. However, for each type of infection the mechanisms producing this scaling seemed to involve different parts of the host defense system. Infections produced under occlusive dressings were characterized by a rapid accumulation of polymorphonuclear leukocytes (PMN) in the epidermis and formation of thick crusts in which organisms were trapped. Sloughing of the crust removed the organisms. In this model, evolution of the lesions and the rate of clearance of the organisms did not depend on prior immunity to Candida. Two possible mechanisms for attraction of PMN into the lesions were direct activation of the alternative complement pathway by the organisms in the lesions and direct chemotactic activity in components of Candida albicans. In contrast, infections produced without occlusive dressings showed only minimal epidermal PMN infiltration, but also underwent profuse scaling of the keratinized layer. This response appeared to depend on cell-mediated immunity. Only animals with previously-acquired delayed hypersensitivity to Candida antigens could undergo this type of scaling, and indeed, this response was transferable to nonimmue animals with peritoneal exudate cells from Candida-immune animals. Clearance of the infecting organisms from this type of infection was significantly faster in immune than in nonimmune animals. It is postulated that a lymphokine released from lymphocytes in the upper epidermis acts on epidermal cells to increase the rate of keratin turnover either by the mitotic rate of the germinal cells or by increasing their rate of keratinization.

Animals↗
PubMed1990

Development of a spin-glass model of prebiotic evolution: environmental effects on ensembles of genetic polymers.

We develop in two ways an existing spin-glass model of prebiotic polymer evolution. First, by choosing the environment J in a prescribed manner, similar to neural network presciptions, we may create an environment which favors a linearly independent set of evolutionary niches (Ea). That is, we may control which polymer "species" will evolve in our system. Computer simulations confirm this result. We obtain a quantitative value for the sharpness of a niche. Second, we extend the model by allowing a surviving polymer to act upon--to "remold"--its environment; the nature of the environmental action is governed by the "molding" matrix M. When the mold M is the identity matrix, the feedback algorithm reduces to a Hebb learning algorithm form, and a surviving polymer acts to enhance its own survival prospects. Molds having a structure analogous to (temporal) associative memories in neural networks can generate autocatalytic species or can exhibit symbiotic interspecies relationships.

Biological Evolution↗
PubMed2004

MCALIGN: stochastic alignment of noncoding DNA sequences based on an evolutionary model of sequence evolution.

A method is described for performing global alignment of noncoding DNA sequences based on an evolutionary model parameterized by the frequency distribution of lengths of insertion/deletion events (indels) and their rate relative to nucleotide substitutions. A stochastic hill-climbing algorithm is used to search for the most probable alignment between a pair of sequences or three sequences of known phylogenetic relationship. The performance of the procedure, parameterized according to the empirical distribution of indel lengths in noncoding DNA of Drosophila species, is investigated by simulation. We show that there is excellent agreement between true and estimated alignments over a wide range of sequence divergences, and that the method outperforms other available alignment methods.

Algorithms↗
PubMed1990

A polygenic model for the evolution and maintenance of conditional strategies.

We develop a genetic model for conditional strategies which places such strategies in the context of phenotypic plasticity. The model, which treats conditional strategies as polygenic threshold traits, indicates that, given requisite genetic variation in reaction norms, conditional strategies will evolve to their optimum level and be maintained by stabilizing selection, provided environmental variation results in a fitness trade-off for the alternative conditional phenotypes. The precise value for the evolutionary optimum is found to depend primarily on the probability density function of the environmental variation that influences the production of the conditional phenotypes and the magnitude of the fitness trade-offs of the conditional phenotypes across such environmental variation. The model is tested by application to three well-studied conditional strategies. In each case the predictions of the model are in good agreement with the results of these studies.

Animals↗
PubMed1992

A kin selection model for the evolution of virulence.

The costs and benefits of parasite virulence are analysed in an evolutionarily stable strategy (ESS) model. Increased host mortality caused by disease (virulence) reduces a parasite's fitness by damaging its food supply. The fitness costs of high virulence may be offset by the benefits of increased transmission or ability to withstand the host's defences. It has been suggested that multiple infections lead to higher virulence because of competition among parasite strains within a host. A quantitative prediction is given for the ESS virulence rate as a function of the coefficient of relatedness among co-infecting strains. The prediction depends on the quantitative relation between the costs of virulence and the benefits of transmission or avoidance of host defences. The particular mechanisms by which parasites can increase their transmission or avoid host defences also have a key role in the evolution of virulence when there are multiple infections.

Animals↗
PubMed1992

Cloning of the HSP70 gene from Halobacterium marismortui: relatedness of archaebacterial HSP70 to its eubacterial homologs and a model for the evolution of the HSP70 gene.

Heat shock induces the synthesis of a set of proteins in Halobacterium marismortui whose molecular sizes correspond to the known major heat shock proteins. By using the polymerase chain reaction and degenerate oligonucleotide primers for conserved regions of the 70-kDa heat shock protein (HSP70) family, we have successfully cloned and sequenced a gene fragment containing the entire coding sequence for HSP70 from H. marismortui. HSP70 from H. marismortui shows between 44 and 47% amino acid identity with various eukaryotic HSP70s and between 51 and 58% identity with its eubacterial and archaebacterial homologs. On the basis of a comparison of all available HSP70 sequences, we have identified a number of unique sequence signatures in this protein family that provide a clear distinction between eukaryotic organisms and prokaryotic organisms (archaebacteria and eubacteria). The archaebacterial (viz., H. marismortui and Methanosarcina mazei) HSP70s have been found to contain all of the signature sequences characteristic of eubacteria (particularly the gram-positive bacteria), which suggests a close evolutionary relationship between these groups. In addition, detailed analyses of HSP70 sequences that we have carried out have revealed a number of additional novel features of the HSP70 protein family. These include (i) the presence of an insertion of about 25 to 27 amino acids in the N-terminal quadrants of all known eukaryotic and prokaryotic HSP70s except those from archaebacteria and the gram-positive group of bacteria, (ii) significant sequence similarity in HSP70 regions comprising its first and second quadrants from organisms lacking the above insertion, (iii) highly significant similarity between a protein, MreB, of Escherichia coli and the N-terminal half of HSP70s, (iv) significant sequence similarity between the N-terminal quadrant of HSP70 (from gram-positive bacteria and archaebacteria) and the m-type thioredoxin of plant chloroplasts. To account for these and other observations, a model for the evolution of HSP70 proteins involving gene duplication is proposed. The model proposes that HSP70 from archaebacteria (H. marismortui and M. mazei) and the gram-positive group of bacteria constitutes the ancestral form of the protein and that all other HSP70s (viz., other eubacteria as well as eukaryotes) containing the insert have evolved from this ancient protein.

Amino Acid Sequence↗
PubMed1991

Genetic variation in the Heterodoxus octoseriatus group (Phthiraptera): a test of Price's model of parasite evolution.

Most of the genetic variation in the H. octoseriatus group is present as fixed gene differences between species which have been described on morphological criteria. Based on allozymes, the taxonomic status of some species was challenged. There was insufficient evidence, however, to demonstrate that these were not 'good' biological species. Overall, the limited intraspecific variation was present as fixed gene differences among lice from different hosts and from different colonies of hosts; heterozygotes were rare. Two predictions derived from Price's model of parasite evolution were met: populations of lice were genetically homogeneous and, where genetic markers were present, we found substantial genetic variation among populations. These data contrast with those for endoparasitic helminths, where, in general, the amount of genetic variation is similar to that of free-living invertebrates.

Animals↗