Morphogenetic origin of natural variation

Toward the Relational Formulation of Biological Thermodynamics

Classical thermodynamics employs the state of thermodynamic equilibrium, characterized by maximal disorder of the constituent particles, as the reference frame from which the Second Law is formulated and the definition of entropy is derived. Non-equilibrium thermodynamics analyzes the fluxes of matter and energy that are generated in the course of the general tendency to achieve equilibrium. The systems described by classical and non-equilibrium thermodynamics may be heuristically useful within certain limits, but epistemologically, they have fundamental problems in the application to autopoietic living systems. We discuss here the paradigm defined as a relational biological thermodynamics. The standard to which this refers relates to the biological function operating within the context of particular environment and not to the abstract state of thermodynamic equilibrium. This is defined as the stable non-equilibrium state, following Ervin Bauer. Similar to physics, where abandoning the absolute space-time resulted in the application of non-Euclidean geometry, relational biological thermodynamics leads to revealing the basic iterative structures that are formed as a consequence of the search for an optimal coordinate system by living organisms to maintain stable non-equilibrium. Through this search, the developing system achieves the condition of maximization of its power via synergistic effects.

Overcoming the limits of natural computation in biological evolution toward the maximization of system efficiency

The goal-directedness of biological evolution is realized via the anticipatory achievement of the final state of the system that corresponds to the condition of its perfection in self-maintenance and in adaptability. In the course of individual development, a biological system maximizes its power via synergistic effects and becomes able to perform external work most efficiently. In this state, defined as stasis, robust self-maintaining configurations act as attractors resistant to external and internal perturbations. This corresponds to the local energy–time constraints that most efficiently fit the integral optimization of the whole system. In evolution, major evolutionary transitions that establish new states of stasis are achieved via codepoiesis, a process in which the undecided statements of existing coding systems form the basis for the evolutionary unfolding of the system by assigning new values to them. The genetic fixation of this macroevolutionary process leads to new programmes of individual development representing the process of natural computation. The phenomenon of complexification in evolution represents a metasystem transition that results in maximization of a system’s power and in the ability to increase external work performed by the system.

Étienne Geoffroy Saint-Hilaire as a predecessor of the epigenetic concept of evolution

The contribution of Étienne Geoffroy Saint-Hilaire (1772-1844) to evolutionary biology is reviewed in commemoration of his 250th birthday. Geoffroy's views on saltational changes during embryogenesis of animals characterize him as a predecessor of the epigenetic concept of evolution, which is now developing in the frames of the extended evolutionary synthesis or evo-devo. While Lamarck distinguished between the two modes of evolution, one within the same level of organization and the other characterized by the transition to a more complex organization, Geoffroy Saint-Hilaire attempted to explain the second mode by the changes in embryogenesis triggered by environmental influences. In this regard, he placed the phenomenon of complexification in the centre of the evolutionary context. Geoffroy Saint-Hilaire can be considered also as an early predecessor of the cell theory. His ideas about the unique plan of structure for animal species and of the fundamental connections that establish the homology of anatomical parts represent an important contribution to the evolutionary concept.

Stress-generating tissue deformations in Xenopus embryos: Long-range gradients and local cell displacements

BACKGROUND

Although the role of endogenous mechanical stresses in regulating morphogenetic movements and cell differentiation is now well established, many aspects of mechanical stress generation and transmission in developing embryos remain unclear and require quantitative studies.

RESULTS

By measuring stress-bearing linear deformations (caused by differences in cell movement rates) in the outer cell layer of blastula - early tail-bud Xenopus embryos, we revealed a set of long-term tension-generating gradients of cell movement rates, modulated by short-term cell-cell displacements much increasing the rates of local deformations. Experimental relaxation of tensions distorted the gradients but preserved and even enhanced local cell-cell displacements. During development, an incoherent mode of cell behavior, characterized by extensive cell-cell displacements and poorly correlated cell trajectories, was exchanged for a more coherent regime with the opposite characteristics. In particular, cell shifts became more synchronous and acquired a periodicity of several dozen minutes.

CONCLUSIONS

Morphogenetic movements in Xenopus embryos are mediated by mechanically stressed dynamic structures of two different levels: extended gradients and short-term cell-cell displacements. As development proceeds, the latter component decreases and cell trajectories become more correlated. In particular, they acquire common periodicities, making morphogenesis more coherent.

Intra-individual variation and evolution of modular structure in Draba plants

We studied the evolution of quantitative traits related to shoot system architecture in a large genus Draba (Brassicaceae) making emphasis on the dynamics of relationship between individual and intra-individual variation. The results suggest that selection leading to origin of different life forms arises mainly from a necessity of moderation of the non-adaptive contest between the egoistic plant modules, taking care of self-reproduction of their own. We separated two evolutionary trends, one leading to the formation of short-lived monocarpic, and the other to long-lived polycarpic forms from the short-lived polycarpic plants. The first trend concerns with transformation of the innovation shoots into the axillary inflorescences by shortening of their vegetative developmental phase, while the second one - with individuation of the plant modules owing to acquisition of the capacity of rooting and separating from the mother plant. In both trends, the turning points of the evolution are those of originating of the negative for individual plants interactions between the plant modules being indirect non-adaptive consequences of the previous adaptive evolution and initiating selection for rebuilding of the plant modular structure. The difference between selection operating on intra-individual and individual variations is that, in the first case, combining of the characters of different individuals is infeasible. This leaves no choice for the evolution but to change the developmental mechanisms. In the case considered in this work, this is a change in shoot architecture using the material afforded by the natural variability of developmental pathways of the plant modules.

Generic oscillation patterns of the developing systems and their role in the origin and evolution of ontogeny

The role of generic oscillation patterns in embryonic development on a macroscopic scale is discussed in terms of active shell model. These self-oscillations include periodic changes in both the mean shape of the shell surface and its spatial variance. They lead to origination of a universal oscillatory contour in the form of a non-linear dependence of the average rudiment's curvature upon the curvature variance. The alternation of high and low levels of the variance makes it possible to pursue the developmental dynamics irrespective to the spatiotemporal order of development and characters subject to selection and genetic control. Spatially homogeneous and heterogeneous states can alternate in both time and space being the parametric modifications of the same self-organization dynamics, which is a precondition of transforming of the oscillations into spatial differences between the parts of the embryo and then into successive stages of their formation. This process can be explained as a "retrograde developmental evolution", which means the late evolutionary appearance of the earlier developmental stages. The developing system progressively retreats from the initial self-organization threshold replacing the self-oscillatory dynamics by a linear succession of stages in which the earlier developmental stages appear in the evolution after the later ones. It follows that ontogeny is neither the cause, nor the effect of phylogeny: the phenotype development can be subject to directional change under the constancy of the phenotype itself and, vice versa, the developmental evolution can generate new phenotypes in the absence of the external environmental trends of their evolution.

Morphogenesis of active shells

We consider the active shell as a single-cell or epithelial sheet surface that, sharing basic properties of stretched elastic shells, is capable of active planar movement owing to recruiting of the new surface elements. As model examples of their morphogenesis, we consider the growth and differentiation of single-cell hairs (trichomes) in plants of the genus Draba, and the epiboly and formation of the dorsoventral polarity in loach. The essential feature of the active shell behavior at both cellular and supracellular levels is regular deviating from the spatially homogeneous form, which is a primary cause of originating of the active mechanical stresses inside the shell in addition to its passive stretching by the intrinsic forces. Analyzing the quantitative morphological data, we derive the equations in which the temporal self-oscillations and spatial differentiation are distinguishable only at the parametric level depending on the proportion of active to passive stresses. In contrast to the ordinary activator-inhibitor systems, the self-oscillation dynamics is principally non-local and, consequently, one-parametric, the shell surface curvature being an analog of the inhibitor, while its spatial variance being an analog of the activator of shaping. Analyzing variability and evolution of the hair cell branching, we argue that the linear ontogeny (succession of the developmental stages) is a secondary evolutionary phenomenon originating from cyclic self-organizing algorithms of the active shell shaping.