Mechanics of mesenchymal contribution to clefting force in branching morphogenesis

Branching morphogenesis is ubiquitous and may involve several different mechanisms. Glandular morphogenesis is affected by growth, cell rearrangements, changes in the basal lamina, changes in the stromal ECM, changes in cell-cell and cell-ECM adhesions, mesenchymal contractility, and possibly other mechanisms. We have developed a 3D model of the mechanics of clefting, focusing in this paper solely on the potential role of mesenchyme-generated traction forces. The tissue mechanics are assumed to be those of fluids, and the hypothesized traction forces are modeled as advected by the deformations which they generate. We find that mesenchymal traction forces are sufficient to generate a cleft of the correct size and morphology, in the correct time frame. We find that viscosity of the tissues affects the time course of morphogenesis, and also affects the resulting form of the organ. Morphology is also strongly dependent on the initial distribution of contractility. We suggest an in vitro method of examining the role of mesenchyme in branching morphogenesis.     

On the rate of budding and proximal attenuation of the graptoloid rhabdosome

Earlier models of the morphogenesis in graptoloid colonies can be improved by taking into account the rate of growth and budding. It is assumed that both these factors are controlled by a specific function of the morphogen, here called for convenience the blastogen , and both are responsible for the attenuation of the proximal part of the rhabdosome. The permanence of this attenuation may theoretically be explained by the universal advantage of differentiation between the proximal and the distal part of the colony. Some aspects of possible adaptive significance of such colony organization are discussed. □ Graptoloid colonies, morphogenesis, mathematical model.     

Mechanisms of epithelial invagination

This review is concerned with the mechanical forces that cause epithelial sheets to invaginate during morphogenesis. Interest in this problem is currently increasing and a variety of models, each with a different emphasis, have been formulated to explain mechanical aspects of epithelial folding. A critical evaluation of the experimental evidence bearing on this problem leads to the following conclusions. (1) The most popular model of invagination, one based on microfilament-mediated cell shape change, should be re-examined, given the limitations of the experimental evidence usually offered in its support. Recent experiments with permeabilized epithelia offer a promising approach for confirming the validity of this model. (2) Current hypotheses based on disparities in the adhesive properties of epithelial cells are consistent with available data, but appear to be impossible to test directly at this time. (3) There is evidence that suggests that cell growth and division are involved in invagination during the branching morphogenesis of some epithelio-mesenchymal organs, but it has been shown that these processes are not involved in other cases. (4) Recent studies demonstrate that some epithelial invaginations are accompanied by movements of cells, both in the form of rearrangement (exchange of nearest neighbors) and involution (flow of surrounding cells into the invaginating region). (5) A general conclusion that may be drawn from the data now available is that several different mechanisms of epithelial folding operate during morphogenesis.     

Hepatitis C virus ultrastructure and morphogenesis

Details of the ultrastructure of hepatitis C virus (HVC) virion remain unclear because it has proved extremely difficult to visualise virus particles from infected serum and tissues directly. In addition, although much is known about the viral genome, first cloned in 1989, little is known about HCV morphogenesis, due to the lack of an efficient in vitro culture system for HCV propagation. Virus-like particles (VLPs) obtained by expressing genes encoding the HCV structural proteins in mammalian cells can be used as an alternative model for studying HCV morphogenesis. In particular, this HCV-LP model has made it possible to demonstrate that HCV budding occurs at the ER membrane and that the core protein drives this process. The HCV-LP model opens up new possibilities for the investigation of viral morphogenesis and virus-host cell interactions, which may make it possible to establish the long-awaited in vitro culture system for HCV.     

Regulation of plant morphogenesis by Lipo‐Chitin oligosaccharides

Lipo‐chitin oligosaccharides (LCOs), produced by rhizobia, are causative agents of the formation of root nodules in leguminous plants. As outlined in this review, the root nodulation process presents a valuable model system to study plant morphogenesis. The knowledge that resulted from the studies of the biological function and biosynthesis of the rhizobial LCOs is summarized. It has been postulated that LCOs are representatives of a general class of signal molecules involved in plant and animal morphogenesis. Discussed is how the present knowledge can be used for future studies on the function of LCOs in morphogenesis and in the search for analogue signal molecules produced by plants and animals.     

Nutritional resources as positional information for morphogenesis in the stony coral Stylophora pistillata

We are interested in deciphering the mechanisms for morphogenesis in the Red Sea scleractinian coral Stylophora pistillata with the help of mathematical models. Previous mathematical models for coral morphogenesis assume that skeletal growth is proportional to the amount of locally available energetic resources like diffusible nutrients and photosynthetic products. We introduce a new model which includes factors like dissolved nutrients and photosynthates, but these resources do not serve as building blocks for growth but rather provide some kind of positional information for coral morphogenesis. Depending on this positional information side branches are generated, splittings of branches take place and branch growth direction is determined. The model results are supported by quantitative comparisons with experimental data obtained from young coral colonies.     

Rac function in epithelial tube morphogenesis

Epithelial cell migration and morphogenesis require dynamic remodeling of the actin cytoskeleton and cell-cell adhesion complexes. Numerous studies in cell culture and in model organisms have demonstrated the small GTPase Rac to be a critical regulator of these processes; however, little is known about Rac function in the morphogenic movements that drive epithelial tube formation. Here, we use the embryonic salivary glands of Drosophila to understand the role of Rac in epithelial tube morphogenesis. We show that inhibition of Rac function, either through loss of function mutations or dominant-negative mutations, disrupts salivary gland invagination and posterior migration. In contrast, constitutive activation of Rac induces motile behavior and subsequent cell death. We further show that Rac regulation of salivary gland morphogenesis occurs through modulation of cell-cell adhesion mediated by the E-cadherin/beta-catenin complex and that shibire, the Drosophila homolog of dynamin, functions downstream of Rac in regulating beta-catenin localization during gland morphogenesis. Our results demonstrate that regulation of cadherin-based adherens junctions by Rac is critical for salivary gland morphogenesis and that this regulation occurs through dynamin-mediated endocytosis.     

A Feed-Forward Loop Coupling Extracellular BMP Transport and Morphogenesis in Drosophila Wing

A variety of extracellular factors regulate morphogenesis during development. However, coordination between extracellular signaling and dynamic morphogenesis is largely unexplored. We address the fundamental question by studying posterior crossvein (PCV) development in Drosophila as a model, in which long-range BMP transport from the longitudinal veins plays a critical role during the pupal stages. Here, we show that RhoGAP Crossveinless-C (Cv-C) is induced at the PCV primordial cells by BMP signaling and mediates PCV morphogenesis cell-autonomously by inactivating members of the Rho-type small GTPases. Intriguingly, we find that Cv-C is also required non-cell-autonomously for BMP transport into the PCV region, while a long-range BMP transport is guided toward ectopic wing vein regions by loss of the Rho-type small GTPases. We present evidence that low level of ß-integrin accumulation at the basal side of PCV epithelial cells regulated by Cv-C provides an optimal extracellular environment for guiding BMP transport. These data suggest that BMP transport and PCV morphogenesis are tightly coupled. Our study reveals a feed-forward mechanism that coordinates the spatial distribution of extracellular instructive cues and morphogenesis. The coupling mechanism may be widely utilized to achieve precise morphogenesis during development and homeostasis.     

Computer Modeling of Morphogenesis

SYNOPSIS. Computer simulation is a valuable tool to help solvesome problems of morphogenesis.An embryo is shaped by the behaviorof its cells, but in an embryo it is often impossible to sortout which cell behaviors are active in morphogenesis becauseattempts to isolate one cell behavior may affect others. Computersimulation of a model of morphogenesis provides independentevidence that putative driving forces can produce a change ofform. The development of a computer simulated model requiresthat assumptions and steps in reasoning be stated explicitly.This process brings added rigor to analysis of the biologicalsystem, improved observations of the embryo itself, and suggestionsfor new experiments. An interplay develops between the two systems,the actual and the simulated, in which hypotheses and experimentalresults from each system can be used to modify the perceptionsof the other. A successful simulation can be used to simulateexperiments that may not be possible on the embryo. Specificexamples of how computer modeling helped analyze the shapingof the newt neural plate are discussed, as well as the prospectsof extending the models to analysis of neural tube formation.     

Watching tubules glow and branch

Branching morphogenesis is an important mechanism of animal development yet, until recently, most details about this highly dynamic process have had to be inferred from fixed tissues. Several groups have now developed transgenic animals in which branching tubules express fluorescent proteins, enabling their morphogenesis to be studied dynamically using time-lapse microscopy. The results have shown that branch emergence is highly variable, that sprouting tracheae and blood vessels guide themselves by filopodial projections, that branching morphogenesis can involve highly ordered cell rearrangements, and that branches are subject to intense remodelling. Though they are very new, these fluorescent systems have already expanded our knowledge of branching morphogenesis; future work, in which fluorescence might be used to report processes in addition to anatomy, promises an even greater advance.     

Modelling in vitro lung branching morphogenesis during development

It has been shown experimentally that lung epithelial explants have an ability to undergo branching morphogenesis without mesenchyme. However, the mechanisms of this phenomenon remain to be elucidated. In the present study, we construct a mathematical model that can reproduce the dynamics of in vitro branching morphogenesis. We show that the system is essentially governed by three variables--c(0) which is the initial fibroblast growth factor (FGF) concentration, D which is the diffusion coefficient of FGF, and beta which describes the mechanical strength of the cytoskeleton. It is confirmed by numerical simulations that this model can reproduce the experimentally obtained patterns qualitatively. Finally, we experimentally verify two predictions from the model: effects of very high FGF concentration and effects of small mechanical contributions of the cytoskeleton. The theoretical predictions match well with the experimental results.     

A Julia set model of field-directed morphogenesis: developmental biology and artificial life

One paradigm used in understanding the control of morpho-geneticevents is the concept of positional information, where sub-organismiccomponents (such as cells) act in response to positional cues.It is important to determine what kinds of spatiotemporal patternsmay be obtained by such a method, and what the characteristicsof such a morphogenetic process might be. This paper presentsa computer model of morphogenesis based on gene activity drivenby interpreting a positional information field. In this model,the interactions of mutually regulating developmental genesare viewed as a map from R² to R², and are modeled by the complexnumber algebra. Functions in complex variables are used to simulategenetic interactions resulting in position-dependent differentiation.This is shown to be equivalent to computing modified Julia sets,and is seen to be sufficient to produce a very rich set of morphologieswhich are similar in appearance and several important characteristicsto those of real organisms. The properties of this model canbe used to study the potential role of fields and positionalinformation as guiding factors in morphogenesis, as the modelfacilitates the study of static images, time-series (movies)and experimental alterations of the developmental process. Itis thus shown that gene interactions can be modeled as a multi-dimensionalalgebra, and that only two interacting genes are sufficientfor (i) complex pattern formation, (ii) chaotic differentiationbehavior, and (iii) production of sharp edges from a continuouspositional information field. This model is meant to elucidatethe properties of the process of positional information-guidedbiomorphogenesis, not to serve as a simulation of any particularorganism's development. Good quantitative data are not currentlyavailable on the interplay of gene products in morphogenesis.Thus, no attempt is made to link the images produced with actualpictures of any particular real organism. A brief introductionto top-down models and positional information is followed bythe formal definition of the model. Then, the implications ofthe resulting morphologies to biological development are discussed,in terms of static shapes, parametrization studies, time series(movies made from individual frames), and behavior of the modelin light of experimental perturbations. All figures (in grayscale),formulas and parameter values needed to re-create the figuresand movies are included.     

Growth Based Morphogenesis of Vertebrate Limb Bud

Many genes and their regulatory relationships are involved in developmental phenomena. However, by chemical information alone, we cannot fully understand changing organ morphologies through tissue growth because deformation and growth of the organ are essentially mechanical processes. Here, we develop a mathematical model to describe the change of organ morphologies through cell proliferation. Our basic idea is that the proper specification of localized volume source (e.g., cell proliferation) is able to guide organ morphogenesis, and that the specification is given by chemical gradients. We call this idea “growth-based morphogenesis.” We find that this morphogenetic mechanism works if the tissue is elastic for small deformation and plastic for large deformation. To illustrate our concept, we study the development of vertebrate limb buds, in which a limb bud protrudes from a flat lateral plate and extends distally in a self-organized manner. We show how the proportion of limb bud shape depends on different parameters and also show the conditions needed for normal morphogenesis, which can explain abnormal morphology of some mutants. We believe that the ideas shown in the present paper are useful for the morphogenesis of other organs.     

Microphthalmia Gene Product as a Signal Transducer in cAMP-Induced Differentiation of Melanocytes

Islets of Langerhans are microorgans scattered throughout the pancreas, and are responsible for synthesizing and secreting pancreatic hormones. While progress has recently been made concerning cell differentiation of the islets of Langerhans, the mechanism controlling islet morphogenesis is not known. It is thought that these islets are formed by mature cell association, first differentiating in the primitive pancreatic epithelium, then migrating in the extracellular matrix, and finally associating into islets of Langerhans. This mechanism suggests that the extracellular matrix has to be degraded for proper islet morphogenesis. We demonstrated in the present study that during rat pancreatic development, matrix metalloproteinase 2 (MMP-2) is activated in vivo between E17 and E19 when islet morphogenesis occurs. We next demonstrated that when E12.5 pancreatic epithelia develop in vitro, MMP-2 is activated in an in vitro model that recapitulates endocrine pancreas development (Miralles, F., P. Czernichow, and R. Scharfmann. 1998. Development. 125: 1017–1024). On the other hand, islet morphogenesis was impaired when MMP-2 activity was inhibited. We next demonstrated that exogenous TGF-β1 positively controls both islet morphogenesis and MMP-2 activity. Finally, we demonstrated that both islet morphogenesis and MMP-2 activation were abolished in the presence of a pan-specific TGF-β neutralizing antibody. Taken together, these observations demonstrate that in vitro, TGF-β is a key activator of pancreatic MMP-2, and that MMP-2 activity is necessary for islet morphogenesis.     

Cellular Differentiation and Leaf Morphogenesis in Arabdopsis

A focused approach that exploits a single plant species, namely, Arabidopsis thaliana, as a means to understand how leaf cells differentiate and the factors that govern overall leaf morphogenesis has begun to generate a significant body of knowledge in this model plant. Although many studies have concentrated on specific cell types and factors that control their differentiation, some degree of consensus is starting to be reached. However, an understanding of specific mechanisms by which cells differentiate in relation to their position, that appears to be an overriding factor in this process, is not yet in place for cell types in the Arabidopsis leaf. It is clear that perturbations in cellular development within the leaf do not necessarily have a general effect on morphogenesis. Environmental factors, particularly light, have been known to affect leaf cell differentiation and expansion, and endogenous hormones also appear to play an important role, through mechanisms that are beginning to be uncovered. It is likely that continued identification of genes involved in leaf development and their regulation in relation to positional information or other cues will lead to a clearer understanding of the control of differentiation and morphogenesis in the Arabidopsis leaf.     

Modeling cell proliferation for simulating three-dimensional tissue morphogenesis based on a reversible network reconnection framework

Tissue morphogenesis in multicellular organisms is accompanied by proliferative cell behaviors: cell division (increase in cell number after each cell cycle) and cell growth (increase in cell volume during each cell cycle). These proliferative cell behaviors can be regulated by multicellular dynamics to achieve proper tissue sizes and shapes in three-dimensional (3D) space. To analyze multicellular dynamics, a reversible network reconnection (RNR) model has been suggested, in which each cell shape is expressed by a single polyhedron. In this study, to apply the RNR model to simulate tissue morphogenesis involving proliferative cell behaviors, we model cell proliferation based on a RNR model framework. In this model, cell division was expressed by dividing a polyhedron at a planar surface for which cell division behaviors were characterized by three quantities: timing, intracellular position, and normal direction of the dividing plane. In addition, cell growth was expressed by volume growth as a function of individual cell times within their respective cell cycles. Numerical simulations using the proposed model showed that tissues grew during successive cell divisions with several cell cycle times. During these processes, the cell number in tissues increased while maintaining individual cell size and shape. Furthermore, tissue morphology dramatically changed based on different regulations of cell division directions. Thus, the proposed model successfully provided a basis for expressing proliferative cell behaviors during morphogenesis based on a RNR model framework.     

A Geometro-mechanical model for pulsatile morphogenesis

A model is proposed which imitates the morphogenesis of several species of the lower invertebrate animals, the hydroid polyps and permits the derivation of the geometry (surface curvature) of each developmental stage from that of the preceding stage. The model is based upon two experimentally verified assumptions. First, neighbouring cells are assumed to compress each other laterally in a regular and species-specific pulsatile manner. It is this pressure, and/or an active cell reaction to it, which changes the curvature of a cell layer. Secondly, cell layers are assumed to have quasi-elastic properties tending to smooth out their curvature. With our model, the different pulsatile patterns of cell-cell pressure are reproduced and the elasticity parameters are modulated. As a result, within a large zone of parameter values (a so-called "morphogenetic zone", MZ) realistic shapes of the rudiments are reproduced. The main principles of the model can also be used for interpreting the morphogenesis of other groups of animals. A suggested model emphasizes the self-organizing properties of a "stressed geometry" of embryonic rudiments.     

An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth

Plant cell morphogenesis depends critically on two processes: the deposition of new wall material at the cell surface and the mechanical deformation of this material by the stresses resulting from the cell's turgor pressure. We developed a model of plant cell morphogenesis that is a first attempt at integrating these two processes. The model is based on the theories of thin shells and anisotropic viscoplasticity. It includes three sets of equations that give the connection between wall stresses, wall strains and cell geometry. We present an algorithm to solve these equations numerically. Application of this simulation approach to the morphogenesis of tip-growing cells illustrates how the viscoplastic properties of the cell wall affect the shape of the cell at steady state. The same simulation approach was also used to reproduce morphogenetic transients such as the initiation of tip growth and other non-steady changes in cell shape. Finally, we show that the mechanical anisotropy built into the model is required to account for observed patterns of wall expansion in plant cells.