Topological determination of early morphogenesis in Metazoa

This paper presents a topological interpretation of some developmental events through the use of well-known concepts and theorems of combinatorial geometry. The organization of early embryo using a simulation of cleavage considering only blastomere contacts is examined. Each blastomere is modeled as a topological cell and whole embryo—as cell packing. The egg cleavage results in a pattern of cellular contacts on the surface of each blastomere and whole embryo, a discrete morphogenetic field. We find topological distinctions between different types of early egg cleavage and suggest a topological classification of cleavage. Blastulation and gastrulation may be related to an inevitable emergence of discrete curvature that directs development in three-dimensional space. The relationship between local and global orders in metazoan development, i.e., between local morphogenetic processes and integral developmental patterns, is established. Thus, this methodology reveals a topological imperative: a certain set of topological rules that constrains and directs biological morphogenesis.     

Topological Patterns in Metazoan Evolution and Development

Topological patterns in the development and evolution of metazoa, from sponges to chordates, are considered by means of previously elaborated methodology, with the genus of the surface used as a topological invariant. By this means metazoan morphogenesis may be represented as topological modification(s) of the epithelial surfaces of an animal body. The animal body surface is an interface between an organism and its environment, and topological transformations of the body surface during metazoan development and evolution results in better distribution of flows to and from the external medium, regarded as the source of nutrients and oxygen and the sink of excreta, so ensuring greater metabolic intensity. In sponges and some Cnidaria, the increase of this genus up to high values and the shaping of topologically complicated fractal-like systems are evident. In most Bilateria, a stable topological pattern with a through digestive tube is formed, and the subsequent topological complications of other systems can also appear. The present paper provides a topological interpretation of some developmental events through the use of well-known mathematical concepts and theorems; the relationship between local and global orders in metazoan development, i.e., between local morphogenetic processes and integral developmental patterns, is established. Thus, this methodology reveals a “topological imperative”: A certain set of topological rules that constrains and directs biological morphogenesis.     

How different types of pattern formation mechanisms affect the evolution of form and development

Here we investigate how development and evolution can affect each other by exploring what kind of phenotypic variation is produced by different types of developmental mechanisms. A limited number of developmental mechanisms are capable of pattern formation in development. Two main types have been identified. In morphodynamic mechanisms, induction events and morphogenetic processes, such as simple growth, act at the same time. In morphostatic mechanisms, induction events happen before morphogenetic mechanisms, and thus growth cannot influence the induction of a pattern. We present a study of the variational properties of these developmental mechanisms that can help to understand how and why a developmental mechanism may become involved in the evolution and development of a particular morphological structure. Using existing models of pattern formation in teeth, an extensive simulation analysis of the phenotypic variation produced by different types of developmental mechanisms is performed. The studied properties include the amount and diversity of the phenotypic variation produced, the complexity of the phenotypic variation produced, and the relationship between phenotype and genotype. These variational properties are so different between different types of mechanisms that the relative involvement of these types of mechanisms in evolutionary innovation and in different stages of development can be estimated. In addition, type of mechanism affects the tempo and mode of morphological evolution. These results suggest that the basic principles by which development is organized can influence the likelihood of morphological evolution.     

TGF-beta family factors in Drosophila morphogenesis.

Many Drosophila genes have now been identified with substantial sequence similarity to vertebrate protooncogenes and growth factors. Some of these have been isolated directly by cross-hybridization with vertebrate probes and some have been recognized in the sequences of genes cloned because of their intiguing mutant phenotypes. An example of a gene isolated for its interesting development functions but with homology to a vertebrate growth factor is the Drosophila decapentaplegic gene (dpp). An example of a Drosophila gene isolated by virtue of its sequence conservation is the vgr/60A gene. Both dpp and vgr/60A are members of the transforming growth factor-beta family and are most similar to the human bone morphogenetic proteins. The regulation of the dpp gene by several different groups of pattern formation genes including the dorsal/ventral group, the terminal group, the segment polarity genes, and the homeotic genes indicates that many events in embryogenesis require the cell to cell communication mediated by the secreted dpp protein. The temporal and spatial pattern of vgr/60A expression differs from that of dpp indicating that it may be regulated by different pattern information genes. The experimental advantages of the Drosophila system should permit a better understanding of the importance of growth factor homologs in specific developmental events, aid in establishing the functional interactions between these regulatory molecules, and identify new genes that are important for the biological functions of growth factors. It is likely that some of the newly identified genes will have vertebrate homologs and the analysis of these may be helpful in studies on vertebrate development and tumor biology.     

Developmental pathways,homology and homonomy in metameric animals

Following Wagner's (1989) distinction between historical and biological concepts of homology, we analyze homology problems of metameric animals in the light of a biological concept. In identifying homology, we refer to the common informational background which two structures share. Therefore, homology relationships are matters of degree; they are ‘perfect’ only when there is full identity of informational background between the structures under comparison. Homonomy (serial homology) is not fundamentally different from other kinds of homology. We regard the differences between epimorphically and anamorphically developed segments as minor; therefore, the two kinds of segments are largely homologous. The morphogenetic processes giving rise to segmental structures are regarded as not necessarily hierarchical. We contrast the phylogenetic pattern of hierarchically nested homologies with a largely non-hierarchical pattern of homologous structures within the individual organism. This topological difference adds to heterochrony in generating the widespread mismatch of ontogeny and phylogeny.     

Looking at the origin of phenotypic variation from pattern formation gene networks

This article critically reviews some widespread views about the overall functioning of development. Special attention is devoted to views in developmental genetics about the superstructure of developmental gene networks. According to these views gene networks are hierarchic and multilayered. The highest layers partition the embryo in large coarse areas and control downstream genes that subsequently subdivide the embryo into smaller and smaller areas. These views are criticized on the bases of developmental and evolutionary arguments. First, these views, although detailed at the level of gene identities, do not incorporate morphogenetic mechanisms nor do they try to explain how morphology changes during development. Often, they assume that morphogenetic mechanisms are subordinate to cell signaling events. This is in contradiction to the evidence reviewed herein. Experimental evidence on pattern formation also contradicts the view that developmental gene networks are hierarchically multilayered and that their functioning is decodable from promoter analysis. Simple evolutionary arguments suggest that, indeed, developmental gene networks tend to be non-hierarchic. Re-use leads to extensive modularity in gene networks while developmental drift blurs this modularity. Evolutionary opportunism makes developmental gene networks very dependent on epigenetic factors.     

Fibroblast cultures and dermatoglyphics: The topology of two planar patterns

Summary This is a study of two, two dimensional biological patterns—the pattern created in a confluent dish of normal fibroblast and the dermatoglyphic pattern on the primate palm and sole. Both patterns are characterised by a small repertory of different types of interruptions or discontinuities in fields of otherwise parallel aligned elements. Because these discontinuities are invariant under plastic deformations as well as rigid motions, a topological treatment is appropriate. A quantitative topological characterisation shows the pattern in the two systems to be essentially identical. Regarding both systems as exercises in packing elongated elements in the plane subject to certain constraints, both can be modelled by a smooth, planar, nonoriented vector field. In neither case can the development of pattern be accounted for solely in terms of the aggregate of autonomously arising local detail; the whole constrains and influences the local situations. The interrelationship of global and local constraints on packing is quantified by the index theorem, which accounts for the range of patterns that may develop. The study shows that to understand pattern development in these systems, it is necessary to include topological considerations in addition to an analysis of cell behaviour.     

The organizer concept and modern embryology: Anglo-American perspectives

This paper analyses the origins of the Spemann-Mangold organizer concept of 1924 in relation to his earlier background and concepts. It traces the consequences and fate of the organizer, and related concepts (embryonic induction, gradients, fields) through subsequent phases in the evolution of developmental biology up to the present, primarily from a UK perspective, but also in the USA. The origins of Wolpert's concept of positional information of around 1970 are analysed; this markedly different model of embryogenesis effectively took the place of the organizer, following on from a generally assumed out-datedness of the corpus of Spemann's data and concepts. Explanations in terms of historical forces are suggested; events are seen as a historical causal chain. A crucial factor appears to have been the long-term neglect of morphogenetic cell movement as an integral component of an adequate induction-based model. The paper discusses the general inter-relation of history and science, and particularly the implications for current scientific practice, including the potential for conceptual distortions due to historical factors. It is argued that historical considerations need to be included as part of the use and critical assessment of basic concepts in science.     

Some old concepts and new findings on hormonal control of insect morphogenesis

By means of the artificially induced heterochronic developmental deviations represented by local prothetelies and metathetelies it has been possible to investigate the individual developmental fates of ontogenetically different tissues, such as larval, pupal, and adult epidermal cells, in one and the same body and under the identical concentration of juvenile hormone (JH) in the haemolymph.In contrast to the widely accepted hormonal theories which claim that the kind of morphogenesis is determined by large, intermediate, and low titres of JH, the heterochronic character of the tissues never developed into a uniform population of homomorphic epidermal cells. Instead, in the presence of effective amounts of JH the heterochronic pattern has been fully preserved and carried on into the next developmental instar. Moreover, in the absence of the effective JH amounts the ontogenetically different tissues, such as larval and pupal epidermal cells, simultaneously undergo their respective morphogenetic developments, i.e. larval-pupal and pupal-adult morphogenesis in the same hormonal milieu. It is concluded that the selective factor in determination of the kind of morphogenetical changes is not an altered JH titre but the extant, previously attained degree of ontogenetic structural differentiation. It has been demonstrated that JH can temporarily and reversibly inhibit the morphogenetic progress at quite different ontogenetic levels but it cannot cause a ‘reversal of metamorphosis’ at any of these levels.Under specific experimental conditions the larval epidermal cells can undergo pupal and adult morphogenesis without secreting the pupal cuticle. However, the pupal morphogenetic interstage, whether with the cuticle or without the pupal cuticle, constitutes an obligatory developmental step. Further, it appears that an absence of JH may represent an important condition but not a real cause of insect metamorphosis, as presumed in some other hormonal concepts. Thus, chromosomal duplications or cellular divisions in the absence of JH have not committed the cells to morphogenesis unless provided by an additional stimulus of endogenous prothoracic gland hormone or exogenous ecdysterone. An important factor in understanding the hormonal control of insect morphogenesis is the critical timing of the respective morphogenetic steps. This corresponds closely with the duration of the pharate phases in insect development. Possible hormonal mechanisms concerned in the regulation of morphogenesis in endopterygote insects have been outlined.     

Extraembryonic development in insects and the acrobatics of blastokinesis

Extraembryonic development is familiar to mouse researchers, but the term is largely unknown among insect developmental geneticists. This is not surprising, as the model system Drosophila melanogaster has an extremely reduced extraembryonic component, the amnioserosa. In contrast, most insects retain the ancestral complement of two distinct extraembryonic membranes, amnion and serosa. These membranes are involved in several key morphogenetic events at specific developmental stages. The events of anatrepsis and katatrepsis-collectively referred to as blastokinesis-are specific to hemimetabolous insects. Corresponding events in holometabolous insects are simplified and lack formal names. All insects retain dorsal closure, which has been well studied in Drosophila. This review aims to resurrect both the terminology and awareness of insect extraembryonic development-which were last common currency in the late nineteenth and early twentieth centuries-as a number of recent studies have identified essential components of these events, through RNA interference of developmental genes and ectopic hormonal treatments. As much remains unknown, this topic offers opportunities for research on tissue specification, the regulation of cell shape changes and tissue interactions during morphogenesis, tracing the origins and final fates of cell and tissue lineages, and ascertaining the membranes' functions between morphogenetic events.     

Morphogenesis as a macroscopic self-organizing process

We start from reviewing different epistemological constructions used for explaining morphogenesis. Among them, we explore the explanatory power of a law-centered approach which includes top-down causation and the basic concepts of a self-organization theory. Within such a framework, we discuss the morphomechanical models based upon the presumption of feedbacks between mechanical stresses imposed onto a given embryo part from outside and those generated within the latter as a kind of active response. A number of elementary morphogenetic events demonstrating that these feedbacks are directed towards hyper-restoration (restoration with an overshoot) of the initial state of mechanical stresses are described. Moreover, we show that these reactions are bound together into the larger scale feedbacks. That permits to suggest a reconstruction of morphogenetic successions in early Metazoan development concentrated around two main archetypes distinguished by the blastopores geometry. The perspectives of applying the same approach to cell differentiation are outlined. By discussing the problem of positional information we suggest that the developmental pathway of a given embryo part depends upon its preceded deformations and the corresponding mechanical stresses rather than upon its static position at any moment of development.     

Developmental Stage Age Groups and African Population Structure: The Kusasi of the West African Savanna

African population structures based on censuses exhibit a distinctive pattern of distortion. It is often assumed that the cause for this distortion is systematic biases in age estimates by census enumerators and respondents influenced by perceptions of social and biological development. African developmental stage age groups are the cultural codification of such perceptions. I describe developmental stage age groups among the Kusasi of Bawku District in northeast Ghana, and analyze their age and sex structure for a sample of 1,132 individuals from the village of Zorse. I show that differences between men and women reflect differences in biological and social development, and that cultural concepts of developmental stages could influence age estimates to produce the pattern of distortions typical of those found in African population structures based on censuses. This is supported by a comparison of Bawku District population structure based on the Ghana census and an ethnographic sample census in Zorse which eliminated most age estimate biases.     

Developmental constraints vs. variational properties: How pattern formation can help to understand evolution and development

This article suggests that apparent disagreements between the concept of developmental constraints and neo-Darwinian views on morphological evolution can disappear by using a different conceptualization of the interplay between development and selection. A theoretical framework based on current evolutionary and developmental biology and the concepts of variational properties, developmental patterns and developmental mechanisms is presented. In contrast with existing paradigms, the approach in this article is specifically developed to compare developmental mechanisms by the morphological variation they produce and the way in which their functioning can change due to genetic variation. A developmental mechanism is a gene network, which is able to produce patterns in space though the regulation of some cell behaviour (like signalling, mitosis, apoptosis, adhesion, etc.). The variational properties of a developmental mechanism are all the pattern transformations produced under different initial and environmental conditions or IS-mutations. IS-mutations are DNA changes that affect how two genes in a network interact, while T-mutations are mutations that affect the topology of the network itself. This article explains how this new framework allows predictions not only about how pattern formation affects variation, and thus phenotypic evolution, but also about how development evolves by replacement between pattern formation mechanisms. This article presents testable inferences about the evolution of the structure of development and the phenotype under different selective pressures. That is what kind of pattern formation mechanisms, in which relative temporal order, and which kind of phenotypic changes, are expected to be found in development.     

The notion of homology in current comparative biology

Current notions on homology, and its recognition, causation, and explanation are reviewed in this report. The focus is primarily on concepts because the formulation of precise definitions of homology has contributed little to our understanding of the issue. Different aspects or concepts of homology have been contrasted, currently the most important ones being the distinction between systematic and biological concepts. The systematic concept of homology focuses on common ancestry and on taxa; the biological concept tries to explain patterns of conservatism in evolution by shared developmental constraints. Similarity or correspondence is generally accepted as a primary criterion in the delimitation of homologues, albeit that this criterion is not without practical and theoretical problems. Apart from similarity, the biological concept of homology also stresses developmental individuality of putative homologous structures. Structural and positional aspects of homology can be separated, with positional homology acquiring an independent status. Similarity, topographic relationships, and ontogenetic development cannot be tests of homology. Within the cladistic paradigm, the most decisive test of homology is that of congruence; proponents of the biological-homology concept have been less concerned with test implications. Adopting a hierarchical view of nature suggests that characters have to be homologized at their appropriate level of organization. A taxic or systematic approach to homology has precedence over a transformational or biological approach. Nevertheless, pattern analysis and process explanations are not independent of each other.     

Early events in mammalian craniofacial morphogenesis.

Head-trunk differences are well established in the most primitive vertebrates, and are clear from early developmental stages of all modern forms. The boundary between the two regions is not constant in all vertebrate classes in terms of the number of occipital somites. The occipital region is in some respects a transitional zone, giving rise to trunk-like somitic derivatives in the head. It is also highly specialised, providing a unique population of neural crest cells that are essential for formation of the aorticopulmonary septum (which divides the outflow tract of the heart) in mammals and birds. In the preoccipital hindbrain, rhombomeres represent a segmental structural pattern that is quite distinct from that of the somites, with a segment-specific pattern of gene expression. Expression of some of these genes in mesenchyme close to the primitive streak at earlier stages suggests that this pattern may be established at the time of neural induction. Mammalian embryos have taken cranial specialization further than other classes of vertebrate, particularly in relation to the pattern of development and eventual structural complexity of the forebrain. Mammalian specialisations of craniofacial development are described through references to studies on cranial neurulation, on cranial neural crest cell migration, and on the possible morphogenetic roles of extracellular matrix components.     

Considerations on the role of surface tension and epidermal growth factor in the mechanism of integumental pattern formation

The formation of the posterior parietal hair whorl during normal human development is proposed as a morphogenetic problem in which the effects of surface tension and the appearance of singularities figure prominently. Surface tension is considered in the sense of "Langer's lines" which define local contours of tension in the skin of the organism. According to this view, an analysis of the organism's skin tension field is fundamental to problems of integumental pattern formation. A computational analysis of the skin tension field is proposed, potentially using methods from finite element theory applied to molecular and cellular mechanisms within the skin which resist deformation. To this end, surface tension is provisionally defined as the differential adsorption (adhesion) of molecular and supramolecular binding elements within the skin. In practical applications, it is suggested that epidermal growth factor (EGF) and similar molecules have the physicochemical features and the biological effects required to experimentally probe surface tension phenomena at supramolecular levels. In this regard, the concept of topological discontinuities is introduced as a potential theoretical bridge across levels of organization. Specific examples of these discontinuities are given and discussed in terms of the development of singularities in control surfaces. It is hoped that these considerations will be useful in the mechanistic analysis of hair whorl formation during human embryo-genesis and in other problems of integumental pattern formation and nonequilibrium surface behavior.