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G P Wagner

Publications and source records attributed to G P Wagner.

At least 19 recordsLinked to original sources
PubMed1998

Heterochronic differences of Hoxa-11 expression in Xenopus fore- and hind limb development: evidence for lower limb identity of the anuran ankle bones.

The wrist (carpus) and ankle (tarsus) of most tetrapods, as well as the wrist of anurans, contains relatively small nodular skeletal elements. The anuran tarsus, however, comprises a pair of long bones, the proximal tarsals tibiale and fibulare, which resemble the lower leg bones, tibia and fibula (zeugopodium). In this paper we investigate whether the proximal tarsals of Xenopus are of zeugopodial character identity, i.e. whether they develop under the influence of the same genes that pattern the lower limb. We compare Hoxa-11 expression in the forelimb bud with that in the hind limb bud by whole-mount in situ hybridization. Hoxa-11 has been implicated in the development of the lower limb. In Xenopus we note three differences between Hoxa-11 expression in fore- and hind limb buds: (1) Hoxa-11 expression is maintained until the hind limb bud reaches a larger size (2 mm) than that of the forelimb bud (1.5 mm); (2) Hoxa-11 expression is maintained over larger spatial domains than in the forelimb; and (3) Hoxa-11 expression has a pronounced posterior polarity in the hind limb, but not in the forelimb. Hind limb expression of Hoxa-11 can be understood as a heterochronic prolonging of the expression dynamic in the forelimb. Finally we found that the proximal tarsals start to develop within the expression domain of Hoxa-11, while in the forelimb the lower arm elements reach the distal expression limit of Hoxa-11. The gene expression data presented here support the notion of a zeugopodial identity of the proximal tarsal elements in Xenopus.

Animals↗
PubMed1998

Genetic measurement of theory of epistatic effects.

Epistasis is defined as the influence of the genotype at one locus on the effect of a mutation at another locus. As such it plays a crucial role in a variety of evolutionary phenomena such as speciation, population bottle necks, and the evolution of genetic architecture (i.e., the evolution of dominance, canalization, and genetic correlations). In mathematical population genetics, however, epistasis is often represented as a mere noise term in an additive model of gene effects. In this paper it is argued that epistasis needs to be scaled in a way that is more directly related to the mechanisms of evolutionary change. A review of general measurement theory shows that the scaling of a quantitative concept has to reflect the empirical relationships among the objects. To apply these ideas to epistatic mutation effects, it is proposed to scale A x A epistatic effects as the change in the magnitude of the additive effect of a mutation at one locus due to a mutation at a second locus. It is shown that the absolute change in the additive effect at locus A due to a substitution at locus B is always identical to the absolute change in B due to the substitution at A. The absolute A x A epistatic effects of A on B and of B on A are identical, even if the relative effects can be different. The proposed scaling of A x A epistasis leads to particularly simple equations for the decomposition of genotypic variance. The Kacser Burns model of metabolic flux is analyzed for the presence of epistatic effects on flux. It is shown that the non-linearity of the Kacser Burns model is not sufficient to cause A x A epistasis among the genes coding for enzymes. It is concluded that non-linearity of the genotype-phenotype map is not sufficient to cause epistasis. Finally, it is shown that there exist correlations among the additive and epistatic effects among pairs of loci, caused by the inherent symmetries of Mendelian genetic systems. For instance, it is shown that a mutation that has a larger than average additive effect will tend to decrease the additive effect of a second mutation, i.e., it will tend to have a negative (canalizing) interaction with a subsequent gene substitution. This is confirmed in a preliminary analysis of QTL-data for adult body weight in mice.

Animals↗
PubMed1997

Phylogenetic reconstruction of vertebrate Hox cluster duplications.

In vertebrates and the cephalochordate, amphioxus, the closest vertebrate relative, Hox genes are linked in a single cluster. Accompanying the emergence of higher vertebrates, the Hox gene cluster duplicated in either a single step or multiple steps, resulting in the four-cluster state present in teleosts and tetrapods. Mammalian Hox clusters (designated A, B, C, and D) extend over 100 kb and are located on four different chromosomes. Reconstructing the history of the duplications and its relation to vertebrate evolution has been problematic due to the lack of alignable sequence information. In this study, the problem was approached by conducting a statistical analysis of sequences from the fibrillar-type collagens (I, II, III, and IV), genes closely linked to each Hox cluster which likely share the same duplication history as the Hox genes. We find statistical support for the hypothesis that the cluster duplication occurred as multiple distinct events and that the four-cluster situation arose by a three-step sequential process.

Animals↗
PubMed1997

Algebraic theory of recombination spaces.

A new mathematical representation is proposed for the configuration space structure induced by recombination, which we call "P-structure." It consists of a mapping of pairs of objects to the power set of all objects in the search space. The mapping assigns to each pair of parental "genotypes" the set of all recombinant genotypes obtainable from the parental ones. It is shown that this construction allows a Fourier decomposition of fitness landscapes into a superposition of "elementary landscapes." This decomposition is analogous to the Fourier decomposition of fitness landscapes on mutation spaces. The elementary landscapes are obtained as eigenfunctions of a Laplacian operator defined for P-structures. For binary string recombination, the elementary landscapes are exactly the p-spin functions (Walsh functions), that is, the same as the elementary landscapes of the string point mutation spaces (i.e., the hypercube). This supports the notion of a strong homomorphism between string mutation and recombination spaces. However, the effective nearest neighbor correlations on these elementary landscapes differ between mutation and recombination and among different recombination operators. On average, the nearest neighbor correlation is higher for one-point recombination than for uniform recombination. For one-point recombination, the correlations are higher for elementary landscapes with fewer interacting sites as well as for sites that have closer linkage, confirming the qualitative predictions of the Schema Theorem. We conclude that the algebraic approach to fitness landscape analysis can be extended to recombination spaces and provides an effective way to analyze the relative hardness of a landscape for a given recombination operator.

Algorithms↗
PubMed1996

PCR-survey of Hox-genes of the zebrafish: new sequence information and evolutionary implications.

We analyzed the Hox gene complement of the zebrafish Danio rerio using a PCR survey. We found 18 new zebrafish HOM/Hox type sequences and one sequence of the msh group. For groups 1-3 and 8-10 we could unambiguously assign the zebrafish fragments to cognate groups. The assignment for cognate groups 4-7 had to remain tentative due to insufficient sequence variation. The number of zebrafish Hox fragments classified as members of cognate groups 1-4, 8, and 9 is identical to the number of genes in corresponding cognate groups of the mouse and human genomes. We found only two differences between the zebrafish and mouse Hox gene complement: four putative genes in group 10 (three in mammals) and only seven in the medial groups 5 to 7 (eight in mammals). Together with the previously published Hox gene sequences of the killifish, the larger number of zebrafish genes in group 10 is positive evidence for variation in the Hox gene complements among bony fish. In contrast, the Hox gene complement appears to be highly conserved among all tetrapods.

Animals↗
PubMed1996

Evidence for four Hox clusters in the killifish Fundulus heteroclitus (teleostei).

We analyzed the HOM/Hox cluster composition of the teleost Fundulus heteroclitus (Killifish) using a PCR survey. We found a total number of 30 unique homeobox sequences which could be assigned to specific cognate groups of the Hox clusters by sequence comparisons. One sequence was of the msh group. Ten homeobox fragments could be identified as orthologs with specific mammalian Hox genes of cluster A-D. The number of representatives in cognate groups 1, 4, 5, 6, 7, 8 and 9 differed from those of human and mouse. For groups 1 and 9 we found four representatives, which provides the first evidence for possible four Hox clusters in a diploid teleost, a lower vertebrate. Furthermore, it demonstrates significant differences of the Fundulus clusters compared to those of mouse and humans. The implications of our data for the interpretation of the evolution of Hox clusters are discussed.

Amino Acid Sequence↗
PubMed1994

Evolution and multi-functionality of the chitin system.

Chitin, that is, the beta-1, 4 linked polysaccharide of N-acetylglucosamine, is best known as a cell wall component of fungi and as skeletal material of invertebrates. In recent years this simple picture has changed dramatically. Three developments have taken place: the discovery of chitinous tissues in vertebrates, the molecular analysis of the chitin-synthase genes, and the discovery that chitin derivatives play a crucial role in the interaction between higher plants and symbiotic bacteria. In this paper the methods for chitin detection and the current data on the evolution of chitin synthesis are reviewed. In addition, data is summarized which suggest that chitin synthesis may serve roles other than the production of skeletal material. In particular, anecdotal evidence suggests that chitin derivatives may play a role as signals in plant as well as animal development. Two major unresolved questions are identified: 1) Is there historical continuity of all the chitin synthesizing systems in protists, animals and, in particular, the deuterostome animals. 2) Are chitin derivatives actually involved in the development of plants and animals?

Animals↗
PubMed1994

Epistasis can facilitate the evolution of reproductive isolation by peak shifts: a two-locus two-allele model.

The influence of epistasis on the evolution of reproductive isolation by peak shifts is studied in a two-locus two-allele model of a quantitative genetic character under stabilizing selection. Epistasis is introduced by a simple multiplicative term in the function that maps gene effects onto genotypic values. In the model with only additive effects on the trait, the probability of a peak shift and the amount of reproductive isolation are always inversely related, i.e., the higher the peak shift rate, the lower the amount of reproductive isolation caused by the peak shift. With epistatic characters there is no consistent relationship between these two values. Interestingly, there are cases where both transition rates as well as the amount of reproductive isolation are increased relative to the additive model. This effect has two main causes: a shift in the location of the transition point, and the hybrids between the two alternative optimal genotypes have lower average fitness in the epistatic case. A review of the empirical literature shows that the fitness relations resulting in higher peak shift rates and more reproductive isolation are qualitatively the same as those observed for genes causing hybrid inferiority.

Alleles↗
PubMed1992

Evolutionary modification of regenerative capability in vertebrates: a comparative study on teleost pectoral fin regeneration.

The regenerative ability of the pectoral fins of 14 species from 6 euteleostean families was tested. Blastema formation and distal outgrowth was observed in all species, indicating the initiation of regeneration in all species tested. Interspecific variation exists with respect to the frequency of malformations and the patterns produced by heteromorphic regeneration. Taking into account published reports on pectoral fin regeneration, the systematic distribution of homo- and heteromorphic regeneration leads to the following conclusions: 1) regenerative ability of pectoral fins is a property inherited from the common ancestor of euteleosteans. Whether it is also the ancestral condition for the whole teleostean group cannot be determined, because reports on more primitive teleosteans like the herring and the osteoglossimorphs are missing. 2) A propensity to produce high frequencies of heteromorphic regenerates originated independently at least three times in Cypriniformes, Scorpaeniformes, and Perciformes. 3) Impaired regeneration is most commonly found in bottom fishes, although not all ground fish groups show heteromorphic regeneration. This suggests that impaired regeneration is not directly related to bottom dwelling, but most probably originated as a side effect of other adaptive changes. Hence, neither the presence nor the loss of faithful regeneration can be associated with particular adaptive scenarios in this group, since regeneration seems to be ancestral to all major euteleost groups and its loss has no clear adaptive significance. Whether there are adaptive reasons to maintain regenerative capability or whether there are cases of reestablishment of regeneration after it was lost cannot be decided on the basis of recent evidence. More observations on phylogenetically closely related species with variable regenerative capability are necessary to assess adaptive explanations of regeneration.

Animals↗
PubMed1992

Regeneration in Salaria pavo (Blenniidae, Teleostei). Histogenesis of the regenerating pectoral fin suggests different mechanisms for morphogenesis and structural maintenance.

The pectoral fin of blennies is differentiated into a dorsal field and a ventral hook field. A histogenetic analysis of the regenerating pectoral fin was related to two questions. First, are histological specializations of the hook field responsible for the impairment of the regenerative capacity of pectoral fins of blennies? Second, can analysis of the temporal sequence of histogenetic events be used to make testable predictions about the tissue interactions required to re-establish the adult pattern? Regeneration of pectoral fins was examined in Salaria pavo (Blenniidae, Teleostei). Approximately 80% of the length of the fin rays was amputated. Fin ray stumps were evaluated 7, 14, 24, 48 and 72 h after amputation, regenerates 4, 5, and 6 days after amputation and at length of about 30%, 50% and 60% regeneration of the original fin length. The regeneration process is subdivided into four stages: wound healing, blastema formation, fin ray formation and distal outgrowth and differentiation of hook characters. Analysis of the early events of regeneration, wound healing, blastema formation and distal outgrowth, yielded no profound differences from those of conventional fins in general. Impairment of regenerative capacity becomes manifested before histological differentiation of hook characters, and it is thus unlikely that their presence is the proximate cause of heteromorphic regeneration. The sequence in which the anatomical specializations characteristic of fin hooks (lepidotrichal cord, cuticle, fin web regression) appear was variable. Detailed analysis of older regenerates revealed a more regular pattern. In the first phase the characters appear to be largely independently organized, while they become locally correlated later. It is concluded that the anatomical differentiation passes through two stages, initiation of anatomical differentiation, and then mutual adjustment of character expression leading to spatially correlated expression of the lepidotrichal cord, the cuticle and the fin web regression.

Animals↗
PubMed1989

Multivariate mutation-selection balance with constrained pleiotropic effects.

A multivariate quantitative genetic model is analyzed that is based on the assumption that the genetic variation at a locus j primarily influences an underlying physiological variable yj, while influence on the genotypic values is determined by a kind of "developmental function" which is not changed by mutations at this locus. Assuming additivity among loci the developmental function becomes a linear transformation of the underlying variables y onto the genotypic values x, x = By. In this way the pleiotropic effects become constrained by the structure of the B-matrix. The equilibrium variance under mutation-stabilizing selection balance in infinite and finite populations is derived by using the house of cards approximation. The results are compared to the predictions given by M. Turelli in 1985 for pleiotropic two-character models. It is shown that the B-matrix model gives the same results as Turelli's five-allele model, suggesting that the crucial factor determining the equilibrium variance in multivariate models with pleiotropy is the assumption about constraints on the pleiotropic effects, and not the number of alleles as proposed by Turelli. Finally it is shown that under Gaussian stabilizing selection the structure of the B-matrix has effectively no influence on the mean equilibrium fitness of an infinite population. Hence the B-matrix and consequently to some extent also the structure of the genetic correlation matrix is an almost neutral character. The consequences for the evolution of genetic covariance matrices are discussed.

Genetic Variation↗
PubMed1988

Self-stabilization of neuronal networks. II. Stability conditions for synaptogenesis.

This study is concerned with synaptic reorganization in local neuronal networks. Within networks of 30 neurons, an initial disequilibrium in connectivity has to be compensated by reorganization of synapses. Such plasticity is not a genetically determined process, but depends on results of neuronal interaction. Neurobiological experiments have lead to a model of the behavior of individual neurons during neuroplastic reorganization, formalized as a "synaptogenetic rule" that governs changes in the amount of synaptic elements on each neuron. When this synaptogenetic rule is applied to a system of neurons, there is some freedom left to the choice of further conditions. In this study it is examined, which assumptions additional to the synaptogenetic rule are essential in order to obtain morphogenetic stability. By explicating these assumptions, their plausibility can be tested. It is analysed, in which respect these conditions are important, in which part of the model they exert their influence, and what kind of instability and degeneration happens if the assumptions are violated. Our essentials for reaching morphogenetic stability are: (1) A network structure that guarantees the possibility of oscillations, (2) a compensation algorithm that guarantees a smooth morphogenesis, (3) kinetic parameters that guarantee convergence in the synaptic elements' change, and (4) a synaptic modification rule that prohibits Hebb-like as well as anti-Hebb-like synaptic changes. It is concluded that many structural features of the mammalian cerebral cortex are in accordance with the requirements of the model.

Algorithms↗
PubMed1986

Self-stabilization of neuronal networks. I. The compensation algorithm for synaptogenesis.

Between the extreme views concerning ontogenesis (genetic vs. environmental determination), we use a moderate approach: a somehow pre-established neuronal model network reacts to activity deviations (reflecting input to be compensated), and stabilizes itself during a complex feed-back process. Morphogenesis is based on an algorithm formalizing the compensation theory of synaptogenesis (Wolff and Wagner 1983). This algorithm is applied to randomly connected McCulloch-Pitts networks that are able to maintain oscillations of their activity patterns over time. The algorithm can lead to networks which are morphogenetically stable but preserve self-maintained oscillations in activity. This is in contrast to most of the current models of synaptogenesis and synaptic modification based on Hebbian rules of plasticity. Hebbian networks are morphogenetically unstable without additional assumptions. The effects of compensation on structural and functional properties of the networks are described. It is concluded that the compensation theory of synaptogenesis can account for the development of morphogenetically stable neuronal networks out of randomly connected networks via selective stabilization and elimination of synapses. The logic of the compensation algorithm is based on experimental results. The present paper shows that the compensation theory can not only predict the behavior of synaptic populations (Wagner and Wolff, in preparation), but it can also describe the behavior of neurons interconnected in a network, with the resulting additional system properties. The neuronal interactions--leading to equilibrium in certain cases--are a self-organizing process in the sense that all decisions are performed on the individual cell level without knowing the overall network situation or goal.

Animals↗
PubMed1986

Tangential organization of the infragranular fiber plexus in rat cerebral cortex.

Cylindrical lesions (diameter 300-500 microns) were formed by poking needles into various parts of the cerebral cortex of adult albino rats. Degenerating axons were visualized in horizontal sections through the 'flattened' cortex using the silver impregnation method of Gallyas et al. [Stain Technol. 55: 291-297 (1980)] which stains degenerating axoplasm. The density and distribution of tangentially oriented axons were evaluated in the infragranular layers by TV image analysis. The sampling fields were concentrically arranged around the lesion at distances of 200, 400, 700 and 1,100 microns. The results indicate that the distribution patterns of degenerating (associational) axons covary with the cytoarchitectonic regions into which the lesions were placed. In the motor cortex, the majority of axons run in the antero-posterior direction. The density is generally lower around lesions in frontal regions than in parietal regions. The most extended degeneration was found around lesions near the border of or within the retrosplenial cortex, indicating an exceptionally strong internal connectivity in this area. Since only few degenerating axons were seen around lesions in the center of area 17, the high density of myelinated axons in the primary visual cortex seems to be due to fibers that originate in peristrate areas. It is concluded that the number and extension of fibers that degenerate tends to covary with some aspects of cortical architecture, but it is not area-specific.

Animals↗
PubMed1985

On the evolution of dominance modifiers II: a non-equilibrium approach to the evolution of genetic systems.

The evolution of dominance is both the simplest and best investigated example of the evolution of genetic systems. Nevertheless, there exists striking empirical material, e.g. industrial melanism, for which no satisfactory explanation could so far be provided. In this paper we take an approach to this classical problem based on a global analysis together with computer simulations. It reveals that during the evolution of dominance one has to distinguish a "nonequilibrium phase" and a "Fisherian phase". The non-equilibrium phase appears to be characterized by the fact that in general the selection intensity at the primary locus does not affect the degree of modifier selection but only the time necessary for passing through this phase. A further essential conclusion is that modifier evolution only obtains a reasonable amount of efficiency if the population reaches the Fisherian phase already with a high modifier frequency. Using these results, predictions on the population genetic prerequisites for the evolution of dominance are derived. From these we conclude that even in populations in which dominance evolution has occurred it cannot be expected that back-crosses into relics of the ancestral population lead to a breakdown of dominance within a few generations. These predictions are in accordance with empirical data on Biston betularia and Odontopera bidentata.

Animals↗
PubMed1985

Small lesions in the primary visual cortex of rats cause a specific reorganization of associational connections.

Neuroplastic changes in associational connections were investigated 3 weeks after the intrinsic organization of the visual cortex of rats had been partially damaged by small cylindrical lesions (type I). These lesions caused the degeneration of short intracortical connections and associational connections that form patches in the primary and secondary visual areas. The resulting terminal degeneration disappeared within 20 days p.o. after which only some fiber degeneration was evident in the infragranular layers. Patches of terminal degeneration reappeared in the vicinity of the stab wounds, when the associational connections between the retrosplenial and the primary visual cortex had been secondarily interrupted by elongated lesions (type II), which penetrated the paramedian cortex and subcortical white matter. When type-II lesions were made in the intact cortex, patches of degeneration were absent, although in both cases some terminal degeneration was diffusely distributed in the primary visual cortex. Horseradish peroxidase (HRP) was applied to sites similar to those where type-I lesions were applied. In the intact cortex, HRP caused a granular labeling of numerous neurons in various positions including the retrosplenial cortex and patches of the postero-median visual cortex. HRP was also applied to type-I lesions that had been made 3 weeks earlier. In these cases, apparently HRP labeled the same subpopulations of neurons as it did in the intact cortex. However, a fraction of the labeled neurons showed a Golgi-like staining (e.g., 27% of the labeled neurons in the retrosplenial cortex) only when HRP was applied to stab wounds.(ABSTRACT TRUNCATED AT 250 WORDS)

Afferent Pathways↗
PubMed1984

Coevolution of functionally constrained characters: prerequisites for adaptive versatility.

One of the major problems of organismic evolution theory is to explain how complex organisms were able to evolve by random mutations in spite of the severe functional constraints that canalize their route of change. The problem is discussed on the basis of a quantitative genetic model. How the degree of genetic variation influences the adaptation speed of functionally coupled but genetically uncorrelated characters is examined. It was found, that if more than three independent characters contribute to the variation of a functionally constrained system, optimal degrees of genetic variation exist. Higher degrees of variation lead to decreasing adaptation rates. Conversely, functional constraints do not limit the degree of adaptely reasonable genetic variability as long as the number of independent characters is not higher than three. The conclusion is drawn that there is no need to develop a genetic correlation between functionally coupled characters as long as not many more than three characters are integrated into a functional system. This explains the fact that there is no genetic coupling between the inherited signal sender and receiver mechanisms in orthopterians, even though there is a strong functional coupling between them.

Adaptation, Biological↗