Signalling by morphogens such as the Hedgehog family, Notch, Wingless/Wnt and various growth factors is essential during embryogenesis. The establishment of concentration gradients of these morphogens plays a key role during developmental patterning in all multicellular organisms, assuring that distinct cell/tissue types and organs appear at the right place in the right time during embryogenesis. Regulation of morphogen synthesis, trafficking and diffusion are all known to play a part in setting up these gradients, and a complex web of signaling mechanisms ensures that specific responses occur at the correct threshold concentration in the recipient cells whose fate depends on these morphogens.

Gradients and Tissue Patterning, Volume 137 in the Current Topics in Developmental Biology series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics. Each chapter is written by an international board of authors.

Morphogens are signaling molecules that play a key role in animal development. They spread from a restricted source into an adjacent target tissue forming a concentration gradient. The fate of cells in the target tissue is determined by the local concentration of such morphogens. Morphogen transport through the tissue has been studied in experiments which lead to the suggestion of several transport mechanisms. While diffusion in the extracellular space contributes to transport, recent experiments on the morphogen Decapentaplegic (Dpp) in the fruit fly Drosophila provide evidence for the importance of a cellular transport mechanism that was termed "planar transcytosis". In this mechanism, morphogens are transported through cells by repeated rounds of internalization and externalization. Starting from a microscopic theoretical description of these processes, we derive systems of nonlinear transport equations which describe the interplay of transcytosis and passive diffusion. We compare the results of numerical calculations based on this theoretical description of morphogen transport to recent experimental data on the morphogen Dpp in the Drosophila wing disk. Agreement with the experimental data is only achieved if the parameters entering the theoretical description are chosen such that transcytosis contributes strongly to transport. Analyzing the derived transport equations, we find that transcytosis leads to an increased robustness of the created gradients with respect to morphogen over-expression. Indications for this kind of robustness have been found in experiments. Furthermore, we theoretically investigate morphogen gradient formation in disordered systems. Here, an important question is how the position of concentration thresholds can be defined with high precision in the noisy environment present in typical developing tissues. Among other things, we find that the dimensionality of the system in which the gradient is formed plays an important.

The genetic, molecular, and cellular mechanisms of neural development are essential for understanding evolution and disorders of neural systems. Recent advances in genetic, molecular, and cell biological methods have generated a massive increase in new information, but there is a paucity of comprehensive and up-to-date syntheses, references, and historical perspectives on this important subject. The Comprehensive Developmental Neuroscience series is designed to fill this gap, offering the most thorough coverage of this field on the market today and addressing all aspects of how the nervous system and its components develop. Particular attention is paid to the effects of abnormal development and on new psychiatric/neurological treatments being developed based on our increased understanding of developmental mechanisms. Each volume in the series consists of review style articles that average 15-20pp and feature numerous illustrations and full references. Volume 1 offers 48 high level articles devoted mainly to patterning and cell type specification in the developing central and peripheral nervous systems. Series offers 144 articles for 2904 full color pages addressing ways in which the nervous system and its components develop Features leading experts in various subfields as Section Editors and article Authors All articles peer reviewed by Section Editors to ensure accuracy, thoroughness, and scholarship Volume 1 sections include coverage of mechanisms which: control regional specification, regulate proliferation of neuronal progenitors and control differentiation and survival of specific neuronal subtypes, and controlling development of non-neural cells

This dissertation is concerned with ligands (such as Decapentaplegic or Dpp for short) that are produced along the anterior-posterior border of the Drosophila wing imaginal disc and then transported away toward the disc edge. They bind with cell surface receptors and possibly non-receptors to form concentration gradients of both ligand receptor complexes and ligand non-receptor complexes respectively. Recent articles such as [13], [15], [16], [17], have already focused on systems of diffusion and reversible binding involving ligand, ligand receptor complexes and receptors with and without non-receptors including aggregated source end models ([13] and [17]). We will focus our attention on one of the compartments (posterior or anterior) of the wing imaginal disc in a one dimensional model. We will then extend this model by including non-receptors in the system. Finally, we consider a two dimensional ligand and receptor model by considering the apical-basal extent of the disc as well. It is in this model where we analyze and determine why the wing imaginal disc size changes with environmental temperature changes.