The purpose of this thesis is to develop a vertex model framework that can be used to perform computational experiments related to the dynamics of epithelial tissues in developmental systems. We focus on three example systems: the Drosophila wing imaginal disc, the Drosophila epidermis and the visceral endoderm of the mouse embryo. Within these systems, key questions pertaining to size-control mechanisms and coordination of cell migration remain unanswered and are amenable to computational testing. The vertex model presented here builds upon existing frameworks in three key ways. Firstly, we include novel force terms, representing, for example, the reaction of a cell to being compressed and its shape becoming distorted during a highly dynamic process such as cell migration. Secondly, we incorporate a model of diffusing morphogenetic growth factors within the vertex framework, using an arbitrary Lagrangian-Eulerian formulation of the diffusion equation and solving with the finite-element method (FEM). Finally, we implement the vertex model on the surface of an ellipsoid, in order to simulate cell migration in the mouse embryo. Throughout this thesis, we validate our model by running simple simulations. We demonstrate convergence properties of the FEM scheme and discuss how the time taken to solve the system scales with tissue size. The model is applied to biological systems and its utility demonstrated in several contexts. We show that when growth is dependent on morphogen concentration in the Drosophila wing disc, proliferation occurs preferentially in regions of high concentration. In the Drosophila epidermis, we show that a recently proposed mechanism of compartment size-control, in which a growth-factor is released in limited amounts, is viable. Finally, we examine the phenomenon of rosettes in the mouse embryo, which occur when five or more cells meet at a common vertex. We show, by running simulations both with and without rosettes, that they are crucial facilitators of ordered migration, and are thus critical in the patterning of the early embryo.

No description available.

The development of a multicellular organism, such as a human or an animal, begins with the fertilization of an egg cell. Thereupon the organism grows by repeated cell divisions until the adult size is reached and growth stops. Although it is known that intrinsic mechanisms determine the final size of developing organs and organisms, the basic principles of growth control are still poorly understood. However, there is strong evidence that certain morphogens, which are a special class of signaling molecules, act as growth factors and play a key role in growth control. In this work, growth control is studied from a mainly theoretical viewpoint. A discrete vertex model describing the organization of cells by a network of polygons is used, including a description of the cell cycle and a description of dynamical morphogen distributions. Self-organized growth is studied by introducing growth rules that govern cell divisions based on the local morphogen level. This discrete description is complemented by a continuum theory to gain further insight into the dynamics of self-organized growth processes. The theoretical description is applied to the developing wing of the fruit fly Drosophila melanogaster. In the developing wing, which is an epithelium consisting of single-layered cell sheets, the morphogen Decapentaplegic (Dpp) acts as a key growth factor. Experimental data shows that the Dpp distribution is dynamic and adapts to the size of the developing wing. Two mechanisms that rely on a regulatory molecule species and lead to such a dynamic behaviour of the Dpp distribution are studied. Several growth rules are tested and the resulting growth behaviour is quantitatively compared to experimental data of the developing wing. A particular growth rule, that triggers a cell division when the local morphogen level has increased by a certain relative amount, is found to be consistent with experimental observations under normal and several perturbed conditions. It is shown that mechanical stresses that arise due to spatial growth inhomogeneities can have a stabilizing effect on the growth process.

Henry Corbin a écrit qu’« un Maître Eckhart et un Jacob Boehme eussent parfaitement compris Ibn ʿArabî, et réciproquement. » Mais comment assurer ce dialogue et cette compréhension réciproque pressentie par Henry Corbin? Cette recherche porte essentiellement sur les conditions de possibilités de ce dialogue, puisque la comparaison entre Ibn al-ʿArabī et Böhme n’est encore qu’à ses balbutiements. En choisissant le prisme de l’imagination, le but est double : pouvoir traiter de manière non réductrice les phénomènes spirituels en parcourant et analysant la logique spécifique de l’imagination ; et, sous l’égide de la hiérohistoire, explorer le rôle de l’imagination dans la métaphysique et l’éthique d’Ibn al-ʿArabī et de Böhme. Il s’agit donc d’essayer de lire Ibn al-ʿArabī et Böhme comme ils lisaient eux-mêmes le Livre révélé de leur tradition respective. Au final, il appert que le théophanisme caractéristique tant de la métaphysique d’Ibn al-ʿArabī que de celle de Böhme est une riche terre d’accueil de l’imagination et de l’imaginal. Et que, si la comparaison strictu sensu entre Ibn al-ʿArabī et Böhme est impossible, l’esprit comparatif et transdisciplinaire de cette recherche, ainsi que la méthode phénoménologico-herméneutique, offrent de nouvelles avenues de réappropriation pour l’ensemble des phénomènes spirituels. / Henry Corbin wrote that a “Meister Eckhart and Jacob Boehme would fully understand Ibn ʿArabî, and vice versa.” But how can we ensure this dialogue and mutual understanding anticipated by Henry Corbin? This research is essentially on the conditions of possibilities of this dialogue, especially because the comparison between Ibn al-ʿArabī and Böhme is still in its infancy. By choosing the prism of the imagination, the goal is twofold: approach spiritual phenomena in a non-reductive way by browsing and analyzing the specific logic of imagination; and, under the auspices of the concept of hierohistory, explore the role of imagination in the metaphysics and ethics of Ibn al-ʿArabī and Böhme. It is therefore an effort to read Ibn al-ʿArabī and Böhme as they read themselves the revealed book of their respective tradition. Finally, it appears that the theophanism characteristic of the metaphysics of both Ibn al-ʿArabī and Böhme is a rich haven for imagination and imaginal. If the comparison between Ibn al-ʿArabī and Böhme is stricto sensu impossible, the comparative and transdisciplinary spirit of this research, as well as its the phenomenological-hermeneutic method, opens up new avenues of re-appropriation for all spirituals phenomena.

Animal morphogenesis is largely driven by concerted changes in the shape of individual cells. However, how cell shape changes are regulated and coordinated in developing animals is not well understood. Here we show that the two perpendicular signaling gradients of the morphogens Dpp, a TGF-β homologue, and Wingless, a Wnt family member, maintain tissue homoeostasis and control cell shape changes in the developing Drosophila wing. Clones of cells lacking Dpp or Wingless signaling invaginate apically, shorten apico-basally and subsequently extrude basally without disruption of the epithelium. During early larval development, the onset of Dpp and Wingless signaling correlates with the cuboidal-to-columnar cell shape transition of wing disc cells. Gradients in apical-basal length of columnar cells correlate during late larval development with the gradients of Dpp and Wingless signaling activities. Cells receiving high levels of Dpp and Wingless signaling are most elongated and apically constricted. Low levels of Dpp and Wingless signaling correlate with a shorter and apically wider cell morphology. Dpp and Wingless signaling is cell-autonomously required for maintaining the elongated columnar cell shape of late larval wing disc cells. Overactivation of these pathways results in precocious cell elongation during early larval development. These morphogenetic responses to Dpp and Wingless require the transcription factor complexes Mad and Tcf/β-catenin, respectively, indicating that they are mediated by changes in gene expression. The morphogenetic function of Wingless is in part mediated by one of its target genes, the transcription factor Vestigial. Wingless signaling promotes an enrichment of E-cadherin at the adherens junctions, and we show that E-cadherin is required to maintain apical-basal cell length. Dpp signaling controls the subcellular distribution of the activities of the small GTPase Rho1 and the regulatory light chain of non-muscle myosin II (MRLC). Alteration of Rho1 or MRLC activity has a profound effect on apical-basal cell length. Finally, we demonstrate that a decrease in Rho1 or MRLC activity rescues the shortening of cells with compromised Dpp signaling. Our results identify cell-autonomous roles for Dpp and Wingless signaling in promoting and maintaining the elongated columnar shape of wing disc cells. Furthermore, they suggest that Dpp and Wingless signaling control cell shape by regulating the actin-MyosinII/E-cadherin network. / Morphogenese in Tieren wird in hohem Maße von konzertierten Zellformveränderungen einzelner Zellen bewirkt. Es ist jedoch noch nicht hinreichend verstanden, wie Zellformveränderungen in sich entwickelnden Tieren reguliert und koordiniert werden. Hier zeigen wir, dass die zwei zueinander senkrecht stehenden Signalgradienten der Morphogene Dpp, eines TGF-β Homologs, und Wingless, eines Mitglieds der Wnt Familie, im sich entwickelnden Drosophila-Flügel Gewebe-Homöostase aufrechterhalten und Zellformveränderungen kontrollieren. Klone von Zellen, denen Dpp oder Wingless Signalaktivität fehlt, invaginieren von ihrer apikalen Seite her, verkürzen sich in apiko-basaler Richtung und extruieren im Folgenden auf der basalen Seite des Epithels, ohne es zu zerstören. Während der frühen Larvalentwicklung korreliert das Anschalten der Dpp und Wingless Signale mit der Zellformveränderung der Flügelscheibenzellen von kuboidal zu kolumnar. Gradienten in der apiko-basalen Länge von kolumnaren Zellen korrelieren während der späten Larvalentwicklung mit den Gradienten der Dpp und Wingless Signalaktivitäten. Zellen, die hohe Werte an Dpp und Wingless Signalen empfangen, sind am meisten elongiert und apikal konstringiert. Niedrige Werte von Dpp und Wingless Signalen korrelieren mit kürzerer und apikal weiterer Zellmorphologie. Dpp und Wingless Signale werden zellautonom gebraucht für die Aufrechterhaltung der elongierten Zellform von späten larvalen Flügelscheibenzellen. Die Überaktivierung dieser Signalwege führt zu vorzeitiger Zellverlängerung während der frühen Larvalentwicklung. Diese morphogenetischen Antworten auf Dpp und Wingless benötigen die Transkriptionsfaktor-Komplexe Mad beziehungsweise Tcf/β-catenin, was darauf hindeutet, dass sie durch Änderungen in der Genexpression vermittelt werden. Die morphogenetische Funktion von Wingless wird teilweise durch eines seiner Zielgene, Vestigial, vermittelt. Wingless Signale fördern die Anreicherung von E-cadherin an den Adherensverbindungen. Wir zeigen hier, dass E-cadherin gebraucht wird, um apiko-basale Zelllänge aufrechtzuerhalten. Dpp Signale kontrollieren die subzelluläre Verteilung der Aktivitäten der kleinen GTPase Rho1 und der regulatorischen leichten Kette von nicht-muskulärem Myosin II (MRLC). Eine Änderung in der Rho1 oder MRLC Aktivität hat weitreichende Auswirkungen auf die apiko-basale Zelllänge. Schließlich zeigen wir noch, dass eine Verringerung der Rho1 oder MRLC Aktivitäten die Zellverkürzung von Dpp-Signal kompromittierten Zellen rettet. Unsere Resultate identifizieren zellautonome Rollen für Dpp und Wingless Signale in der Förderung und Aufrechterhaltung der elongierten kolumnaren Zellform von Flügelimaginalscheibenzellen. Darüber hinaus suggerieren sie, dass Dpp und Wingless Signale die Zellform durch die Regulierung des Aktin-MyosinII/E-cadherin-Netzwerks kontrollieren.

Cette thèse cherche à connaître le bonheur tel que Bobin conçoit et projette dans son œuvre. Pour ce but, l'approche bachelardienne nous a servi à définir dans l'œuvre de Bobin un élément symbolique pour le bonheur : la flamme. Pour traiter la question du temps et sa complexité, très liée à notre question principale, les réflexions de Bachelard, de Bergson et de la physique moderne sur le temps sont prises en référence ainsi que la " logique du contradictoire " (de Lupasco). Les images plus attachées à l'intellect sont analysées suivant les travaux d'Henry Corbin et définies comme " images-corps-réalités ". Elles témoignent d'un regard mystique chez Bobin. Une tendance vers la géopoétique pour acquérir l'Unité du monde s'ajoute aussi à ce regard. Et une langue d'" anima/animus " et un processus de la production du sens, " hélice du sens ", interviennent pour traduire l'intransmissible en fragments. Cela rend l'écriture de Bobin " fragmentaire ", ce que nous avons désigné comme un nouveau genre : " poésie-prose " mystique.

Henry Corbin a écrit qu’« un Maître Eckhart et un Jacob Boehme eussent parfaitement compris Ibn ʿArabî, et réciproquement. » Mais comment assurer ce dialogue et cette compréhension réciproque pressentie par Henry Corbin? Cette recherche porte essentiellement sur les conditions de possibilités de ce dialogue, puisque la comparaison entre Ibn al-ʿArabī et Böhme n’est encore qu’à ses balbutiements. En choisissant le prisme de l’imagination, le but est double : pouvoir traiter de manière non réductrice les phénomènes spirituels en parcourant et analysant la logique spécifique de l’imagination ; et, sous l’égide de la hiérohistoire, explorer le rôle de l’imagination dans la métaphysique et l’éthique d’Ibn al-ʿArabī et de Böhme. Il s’agit donc d’essayer de lire Ibn al-ʿArabī et Böhme comme ils lisaient eux-mêmes le Livre révélé de leur tradition respective. Au final, il appert que le théophanisme caractéristique tant de la métaphysique d’Ibn al-ʿArabī que de celle de Böhme est une riche terre d’accueil de l’imagination et de l’imaginal. Et que, si la comparaison strictu sensu entre Ibn al-ʿArabī et Böhme est impossible, l’esprit comparatif et transdisciplinaire de cette recherche, ainsi que la méthode phénoménologico-herméneutique, offrent de nouvelles avenues de réappropriation pour l’ensemble des phénomènes spirituels. / Henry Corbin wrote that a “Meister Eckhart and Jacob Boehme would fully understand Ibn ʿArabî, and vice versa.” But how can we ensure this dialogue and mutual understanding anticipated by Henry Corbin? This research is essentially on the conditions of possibilities of this dialogue, especially because the comparison between Ibn al-ʿArabī and Böhme is still in its infancy. By choosing the prism of the imagination, the goal is twofold: approach spiritual phenomena in a non-reductive way by browsing and analyzing the specific logic of imagination; and, under the auspices of the concept of hierohistory, explore the role of imagination in the metaphysics and ethics of Ibn al-ʿArabī and Böhme. It is therefore an effort to read Ibn al-ʿArabī and Böhme as they read themselves the revealed book of their respective tradition. Finally, it appears that the theophanism characteristic of the metaphysics of both Ibn al-ʿArabī and Böhme is a rich haven for imagination and imaginal. If the comparison between Ibn al-ʿArabī and Böhme is stricto sensu impossible, the comparative and transdisciplinary spirit of this research, as well as its the phenomenological-hermeneutic method, opens up new avenues of re-appropriation for all spirituals phenomena.

Animal morphogenesis is largely driven by concerted changes in the shape of individual cells. However, how cell shape changes are regulated and coordinated in developing animals is not well understood. Here we show that the two perpendicular signaling gradients of the morphogens Dpp, a TGF-β homologue, and Wingless, a Wnt family member, maintain tissue homoeostasis and control cell shape changes in the developing Drosophila wing. Clones of cells lacking Dpp or Wingless signaling invaginate apically, shorten apico-basally and subsequently extrude basally without disruption of the epithelium. During early larval development, the onset of Dpp and Wingless signaling correlates with the cuboidal-to-columnar cell shape transition of wing disc cells. Gradients in apical-basal length of columnar cells correlate during late larval development with the gradients of Dpp and Wingless signaling activities. Cells receiving high levels of Dpp and Wingless signaling are most elongated and apically constricted. Low levels of Dpp and Wingless signaling correlate with a shorter and apically wider cell morphology. Dpp and Wingless signaling is cell-autonomously required for maintaining the elongated columnar cell shape of late larval wing disc cells. Overactivation of these pathways results in precocious cell elongation during early larval development. These morphogenetic responses to Dpp and Wingless require the transcription factor complexes Mad and Tcf/β-catenin, respectively, indicating that they are mediated by changes in gene expression. The morphogenetic function of Wingless is in part mediated by one of its target genes, the transcription factor Vestigial. Wingless signaling promotes an enrichment of E-cadherin at the adherens junctions, and we show that E-cadherin is required to maintain apical-basal cell length. Dpp signaling controls the subcellular distribution of the activities of the small GTPase Rho1 and the regulatory light chain of non-muscle myosin II (MRLC). Alteration of Rho1 or MRLC activity has a profound effect on apical-basal cell length. Finally, we demonstrate that a decrease in Rho1 or MRLC activity rescues the shortening of cells with compromised Dpp signaling. Our results identify cell-autonomous roles for Dpp and Wingless signaling in promoting and maintaining the elongated columnar shape of wing disc cells. Furthermore, they suggest that Dpp and Wingless signaling control cell shape by regulating the actin-MyosinII/E-cadherin network. / Morphogenese in Tieren wird in hohem Maße von konzertierten Zellformveränderungen einzelner Zellen bewirkt. Es ist jedoch noch nicht hinreichend verstanden, wie Zellformveränderungen in sich entwickelnden Tieren reguliert und koordiniert werden. Hier zeigen wir, dass die zwei zueinander senkrecht stehenden Signalgradienten der Morphogene Dpp, eines TGF-β Homologs, und Wingless, eines Mitglieds der Wnt Familie, im sich entwickelnden Drosophila-Flügel Gewebe-Homöostase aufrechterhalten und Zellformveränderungen kontrollieren. Klone von Zellen, denen Dpp oder Wingless Signalaktivität fehlt, invaginieren von ihrer apikalen Seite her, verkürzen sich in apiko-basaler Richtung und extruieren im Folgenden auf der basalen Seite des Epithels, ohne es zu zerstören. Während der frühen Larvalentwicklung korreliert das Anschalten der Dpp und Wingless Signale mit der Zellformveränderung der Flügelscheibenzellen von kuboidal zu kolumnar. Gradienten in der apiko-basalen Länge von kolumnaren Zellen korrelieren während der späten Larvalentwicklung mit den Gradienten der Dpp und Wingless Signalaktivitäten. Zellen, die hohe Werte an Dpp und Wingless Signalen empfangen, sind am meisten elongiert und apikal konstringiert. Niedrige Werte von Dpp und Wingless Signalen korrelieren mit kürzerer und apikal weiterer Zellmorphologie. Dpp und Wingless Signale werden zellautonom gebraucht für die Aufrechterhaltung der elongierten Zellform von späten larvalen Flügelscheibenzellen. Die Überaktivierung dieser Signalwege führt zu vorzeitiger Zellverlängerung während der frühen Larvalentwicklung. Diese morphogenetischen Antworten auf Dpp und Wingless benötigen die Transkriptionsfaktor-Komplexe Mad beziehungsweise Tcf/β-catenin, was darauf hindeutet, dass sie durch Änderungen in der Genexpression vermittelt werden. Die morphogenetische Funktion von Wingless wird teilweise durch eines seiner Zielgene, Vestigial, vermittelt. Wingless Signale fördern die Anreicherung von E-cadherin an den Adherensverbindungen. Wir zeigen hier, dass E-cadherin gebraucht wird, um apiko-basale Zelllänge aufrechtzuerhalten. Dpp Signale kontrollieren die subzelluläre Verteilung der Aktivitäten der kleinen GTPase Rho1 und der regulatorischen leichten Kette von nicht-muskulärem Myosin II (MRLC). Eine Änderung in der Rho1 oder MRLC Aktivität hat weitreichende Auswirkungen auf die apiko-basale Zelllänge. Schließlich zeigen wir noch, dass eine Verringerung der Rho1 oder MRLC Aktivitäten die Zellverkürzung von Dpp-Signal kompromittierten Zellen rettet. Unsere Resultate identifizieren zellautonome Rollen für Dpp und Wingless Signale in der Förderung und Aufrechterhaltung der elongierten kolumnaren Zellform von Flügelimaginalscheibenzellen. Darüber hinaus suggerieren sie, dass Dpp und Wingless Signale die Zellform durch die Regulierung des Aktin-MyosinII/E-cadherin-Netzwerks kontrollieren.

The development of a multicellular organism, such as a human or an animal, begins with the fertilization of an egg cell. Thereupon the organism grows by repeated cell divisions until the adult size is reached and growth stops. Although it is known that intrinsic mechanisms determine the final size of developing organs and organisms, the basic principles of growth control are still poorly understood. However, there is strong evidence that certain morphogens, which are a special class of signaling molecules, act as growth factors and play a key role in growth control. In this work, growth control is studied from a mainly theoretical viewpoint. A discrete vertex model describing the organization of cells by a network of polygons is used, including a description of the cell cycle and a description of dynamical morphogen distributions. Self-organized growth is studied by introducing growth rules that govern cell divisions based on the local morphogen level. This discrete description is complemented by a continuum theory to gain further insight into the dynamics of self-organized growth processes. The theoretical description is applied to the developing wing of the fruit fly Drosophila melanogaster. In the developing wing, which is an epithelium consisting of single-layered cell sheets, the morphogen Decapentaplegic (Dpp) acts as a key growth factor. Experimental data shows that the Dpp distribution is dynamic and adapts to the size of the developing wing. Two mechanisms that rely on a regulatory molecule species and lead to such a dynamic behaviour of the Dpp distribution are studied. Several growth rules are tested and the resulting growth behaviour is quantitatively compared to experimental data of the developing wing. A particular growth rule, that triggers a cell division when the local morphogen level has increased by a certain relative amount, is found to be consistent with experimental observations under normal and several perturbed conditions. It is shown that mechanical stresses that arise due to spatial growth inhomogeneities can have a stabilizing effect on the growth process.

This dissertation examines the reconfiguration of the limits of representation in reference to the intermediary function of angels. The Modernist engagement with the figure of the angel entailed, primarily, a reconsideration of the problem of representation as well as an attempt to trace the contours of a poetics that plays itself outside the mimetic understanding of representation. My contention is that this transformation of literary referentiality was not simply a disengagement of art from reality but, rather, from the truthfalsity, reality-fiction, subject-object dichotomies. The angel, defined as the figure of passage par excellence, but also as the agency that induces the transformation of the visible in the invisible and vice versa, appears both as a model/archetype and as a guide towards the illumination of this intermediary aesthetic. Working with the joined perspectives from angelology, contemporary phenomenology, and poetics, this dissertation is an extended overview of the notion of intermediary spaces, as well as an attempt to probe the relevance of this concept for the field of literary studies. In the first case, this dissertation offers a theoretical background to the concept of intermediality, seen in its theological, phenomenological, aesthetic and ethical significances. In the second case, it presents the reader with a heuristic apparatus for approaching this problematic in the field of literary interpretation and provides examples of ways in which such an analysis can become relevant. The primary texts discussed here are all examples of attempts to redefine the notion of representation away from the truth-falsity or subject-object oppositions, as well as to create an aesthetic space with its own particularities, at the limit between visibility and invisibility, excessive presence and absence. Nicholas of Cusa’s “Preface” to The Vision of God proposes an ethics of reading defined by admiratio (the consubstantiation of immediacy and distance) under the aegis of the all-seeing icon of God. Louis Marin’s reading of the episode of the Resurrection reveals that history and narrative arise from the conjunction of the excessive absence of the empty tomb of Jesus and the excessive presence announcing the resurrection of Christ. Sohravardî’s “Recital of the Crimson Angel” is a presentation of the space-between of revelation, between cognitio matutina and cognitio vespertina. Walter Benjamin’s “Agesilaus Santander” restores the connections between the exoteric and the esoteric under the patient gaze of “Angelus Novus”. Paul Valéry’s Eupalinos, ou l’Architecte explores the aesthetic of “real appearance” in the space-between the image and the perceiving eye. Poe and Malamud’s short stories reveal the affinities between poetic language and angelophany. Elie Wiesel’s Les portes de la forêt expands the apophatic itinerary from the self to the radically other in a hermeneutical gesture which has the angel as its initial and final guide. Finally, Rafael Alberti’s Sobre los ángeles shows that the aphaeretic function of poetic language is very similar to the apophatic treatment of the world as representation; in this last sense too, the angels are indispensible guides.