Selection theory of dendritic growth in complex systems

Magdeburg, Univ., Fak. für Naturwiss., Diss., 2015

Sidebranching induced by external noise in solutal dendritic growth

We have studied sidebranching induced by fluctuations in dendritic growth. The amplitude of sidebranching induced by internal (equilibrium) concentration fluctuations in the case of solidification with solutal diffusion is computed. This amplitude turns out to be significantly smaller than values reported in previous experiments. The effects of other possible sources of fluctuations (of an external origin) are examined by introducing nonconserved noise in a phase-field model. This reproduces the characteristics of sidebranching found in experiments. Results also show that sidebranching induced by external noise is qualitatively similar to that of internal noise, and it is only distinguished by its amplitude.

Solidification thermal parameters and dendritic growth during the horizontal directional solidification of Al-7wt.%Si alloy

O principal objetivo desse trabalho é investigar a influência dos parâmetros térmicos velocidade de solidificação (V_L) e taxa de resfriamento (T_R), nos espaçamentos dendríticos primários (λ₁) da liga hipoeutética Al-7%Si, durante a solidificação direcional horizontal, em regime transiente. Os valores de λ₁ foram medidos ao longo do comprimento do lingote e correlacionados com esses parâmetros. A variação dos espaçamentos dendríticos estudados é expressa por meio de funções na forma de potência de V_Le T_Rdadas, respectivamente, por λ₁= 55(V_L)^-1.1e λ₁= 212 (T_R)^-0.55. Um estudo comparativo é realizado entre os resultados encontrados nesse trabalho e aqueles obtidos para a mesma liga quando solidificada direcionalmente nos sistemas verticais ascendente e descendente, sob as mesmas condições assumidas. Finalmente, os resultados experimentais obtidos são comparados com valores fornecidos por alguns modelos teóricos propostos na literatura para analisar espaçamentos dendríticos primários.

Cellular mechanisms underlying the regulation of dendritic development by hepatocyte growth factor.

Acquisition of a mature dendritic morphology is critical for neural information processing. In particular, hepatocyte growth factor (HGF) controls dendritic arborization during brain development. However, the cellular mechanisms underlying the effects of HGF on dendritic growth remain elusive. Here, we show that HGF increases dendritic length and branching of rat cortical neurons through activation of the mitogen-activated protein kinase (MAPK) signaling pathway. Activation of MAPK by HGF leads to the rapid and transient phosphorylation of cAMP response element-binding protein (CREB), a key step necessary for the control of dendritic development by HGF. In addition to CREB phosphorylation, regulation of dendritic growth by HGF requires the interaction between CREB and CREB-regulated transcription coactivator 1 (CRTC1), as expression of a mutated form of CREB unable to bind CRTC1 completely abolished the effects of HGF on dendritic morphology. Treatment of cortical neurons with HGF in combination with brain-derived neurotrophic factor (BDNF), a member of the neurotrophin family that regulates dendritic development via similar mechanisms, showed additive effects on MAPK activation, CREB phosphorylation and dendritic growth. Collectively, these results support the conclusion that regulation of cortical dendritic morphology by HGF is mediated by activation of the MAPK pathway, phosphorylation of CREB and interaction of CREB with CRTC1.

Numerical simulation of dendrite growth during solidification

A comprehensive probabilistic model for simulating dendrite morphology and investigating dendritic growth kinetics during solidification has been developed, based on a modified Cellular Automaton (mCA) for microscopic modeling of nucleation, growth of crystals and solute diffusion. The mCA model numerically calculated solute redistribution both in the solid and liquid phases, the curvature of dendrite tips and the growth anisotropy. This modeling takes account of thermal, curvature and solute diffusion effects. Therefore, it can simulate microstructure formation both on the scale of the dendrite tip length. This model was then applied for simulating dendritic solidification of an Al-7%Si alloy. Both directional and equiaxed dendritic growth has been performed to investigate the growth anisotropy and cooling rate on dendrite morphology. Furthermore, the competitive growth and selection of dendritic crystals have also investigated.

Regulation of dendritic development by BDNF requires activation of CRTC1 by glutamate.

Dendritic growth is essential for the establishment of a functional nervous system. Among extrinsic signals that control dendritic development, substantial evidence indicates that BDNF regulates dendritic morphology. However, little is known about the underlying mechanisms by which BDNF controls dendritic growth. In this study, we show that the MAPK signaling pathway and the transcription factor cAMP response element-binding protein (CREB) mediate the effects of BDNF on dendritic length and complexity. However, phosphorylation of CREB alone is not sufficient for the stimulation of dendritic growth by BDNF. Thus, using a mutant form of CREB unable to bind CREB-regulated transcription coactivator (CRTC1), we demonstrate that this effect also requires a functional interaction between CREB and CRTC1. Moreover, inhibition of CRTC1 expression by shRNA-mediated knockdown abolished BDNF-induced dendritic growth of cortical neurons. Interestingly, we found that nuclear translocation of CRTC1 results from activation of NMDA receptors by glutamate, a process that is essential for the effects of BDNF on dendritic development. Together, these data identify a previously unrecognized mechanism by which CREB and the coactivator CRTC1 mediate the effects of BDNF on dendritic growth.

Regulation of dendritic development by neurotrophic factors

AbstractEstablishment of a functional nervous system occurs through an orchestrated multistep process during embryogenesis. As dendrites are the primary sites of synaptic connections, development of dendritic arborization is essential for the formation of functional neural circuits. Maturation of dendritic arbor occurs through dynamic processes that are regulated by intrinsic genetic factors and external signals, such as environmental stimuli, neuronal activity and growth factors. Among the latter, the neurotrophic factor BDNF is a key regulator of dendritic growth. However, the mechanisms by which BDNF controls dendritic development remain elusive.In this study, we first showed that activation of the MAPK signaling pathway and phosphorylation of the transcription factor CREB are required to mediate the effects of BDNF on dendritic development of cortical neurons. However, phosphorylation of CREB alone is not sufficient to induce dendritic growth in response to BDNF. Thus, by using a mutant form of CREB unable to bind its coactivator CRTC1, we demonstrated that BDNF-induced dendritic elaboration requires the functional interaction between CREB and CRTC1. Consistent with these observations, inhibition of CRTC1 expression by shRNA-mediated knockdown was found to suppress the effects of BDNF on dendritic length and branching of cortical neurons.The nuclear translocation of CRTC1, a step necessary for the interaction between CREB and CRTC1, was shown to result from the activation of NMD A receptors by glutamate, leading to the dephosphorylation of CRTC1 by the protein phosphatase calcineurin. In line with these findings, prevention of CRTC1 nuclear translocation in the absence of glutamate, or by inhibiting NMDA receptors or calcineurin suppressed the promotion of dendritic growth by BDNF.Increasing evidence supports a role for the growth factor HGF in the regulation of dendritic morphology during brain development. Despite these observations, little is known about the cellular mechanisms underlying the effects of HGF on dendritic elaboration of cortical neurons. The second part of this study was aimed at elucidating the cellular processes that mediate the effects of HGF on dendritic differentiation. We found that HGF increases cortical dendritic growth through mechanisms that involve MAPK-dependent phosphorylation of CREB, and interaction of CREB with its coactivator CRTC1. These data indicate that the mechanisms underlying the promotion of dendritic growth by HGF are similar to those that mediate the effects of BDNF, suggesting that the role of CREB and CRTC1 in the regulation of dendritic development may not be limited to HGF and BDNF, but may extend to other neurotrophic factors that control dendritic differentiation.Together, these results identify a previously unrecognized mechanism by which CREB and its coactivator CRTC1 mediate the effects of BDNF and HGF on dendritic growth of cortical neurons. Moreover, these data highlight the important role of the cooperation between BDNF/HGF and glutamate that converges on CREB to stimulate the expression of genes that contribute to the development of dendritic arborization.RésuméL'établissement d'un système nerveux fonctionnel s'accomplit grâce à des mécanismes précis, orchestrés en plusieurs étapes au cours de l'embryogenèse. Les dendrites étant les principaux sites de connexions synaptiques, le développement de l'arborisation dendritique est essentiel à la formation de circuits neuronaux fonctionnels. La maturation de l'arbre dendritique s'effectue grâce à des processus dynamiques qui sont régulés par des facteurs génétiques intrinsèques ainsi que par des facteurs externes tels que les stimuli environnementaux, l'activité neuronale ou les facteurs de croissance. Parmi ces derniers, le facteur neurotrophique BDNF est - connu pour être un régulateur clé de la croissance dendritique. Cependant, les mécanismes par lesquels BDNF contrôle le développement dendritique demeurent mal connus.Au cours de cette étude, nous avons montré dans un premier temps que l'activation de la voie de signalisation de la MAPK et la phosphorylation du facteur de transcription CREB sont nécessaires aux effets du BDNF sur le développement dendritique des neurones corticaux. Toutefois, la phosphorylation de CREB en tant que telle n'est pas sûffisante pour permettre la pousse des dendrites en réponse au BDNF. Ainsi, en utilisant une forme mutée de CREB incapable de se lier à son coactivateur CRTC1, nous avons démontré que l'élaboration des dendrites induite par le BDNF nécessite également une interaction fonctionnelle entre CREB et CRTC1. Ces résultats ont été confirmés par d'autres expériences qui ont montré que l'inhibition de l'expression de CRTC1 par l'intermédiaire de shRNA supprime les effets du BDNF sur la longueur et le branchement dendritique des neurones corticaux.Les résultats obtenus au cours de ce travail montrent également que la translocation nucléaire de CRTC1, qui est une étape nécessaire à l'interaction entre CREB et CRTC1, résulte de l'activation des récepteurs NMDA par le glutamate, entraînant la déphosphorylation de CRTC1 par la protéine phosphatase calcineurine. De plus, le blocage de la translocation nucléaire de CRTC1 en absence de glutamate, ou suite à l'inhibition des récepteurs NMDA ou de la calcineurine, supprime complètement la pousse des dendrites induite par le BDNF.De nombreuses d'évidences indiquent que le facteur de croissance HGF joue également un rôle important dans la régulation de la morphologie dendritique au cours du développement cérébral. Malgré ces observations, peu d'éléments sont connus quant aux mécanismes cellulaires qui sous-tendent les effets du HGF sur la croissance dendritique des neurones corticaux. Le but de la seconde partie de cette étude a eu pour but d'élucider les processus cellulaires responsables des effets du HGF sur la différenciation dendritique des neurones corticaux. Au cours de ces expériences, nous avons pu mettre en évidence que le HGF induit la pousse dendritique par des mécanismes qui impliquent la phosphorylation de CREB par la MAPK, et l'interaction de CREB avec son coactivateur CRTC1. Ces données indiquent que les mécanismes impliqués dans la stimulation de la croissance dendritique par le HGF sont similaires à ceux régulant les effets du BDNF, ce qui suggère que le rôle de CREB et de CRTC1 dans la régulation du développement dendritique n'est vraisemblablement pas limité aux effets du HGF ou du BDNF, mais pourrait s'étendre à d'autres facteurs neurotrophiques qui contrôlent la différenciation dendritique.En conclusion, ces résultats ont permis l'identification d'un nouveau mécanisme par lequel CREB et son coactivateur CRTC1 transmettent les effets du BDNF et du HGF sur la croissance dendritique de neurones corticaux. Ces observations mettent également en évidence le rôle important joué par la coopération entre BDNF/HGF et le glutamate, dans l'activation de CREB ainsi que dans l'expression de gènes qui participent au développement de l'arborisation dendritique des neurones corticaux.

Growth of SnO nanobelts and dendrites by a self-catalytic VLS process

This article reports on the growth of SnO nanobelts and dendrites by a carbothermal reduction process. The materials were synthesized in a sealed tube furnace at 1210 degrees C and at 1260 degrees C for 2 h. in a dynamic nitrogen atmosphere of 40 seem. After synthesis, gray-black materials were collected downstream in the tube and the samples were characterized by scanning electron microscopy (SEM), transmission electron microscopy (TEM), and energy-dispersive X-ray spectroscopy (EDX). The results showed that the gray-black materials were composed of nanobelts, which grew in the [110] direction of the orthorhombic structure of SnO. Some of the belts also presented dendritic growth. The dendrites grew in the (110) planes of the SnO structure, and no defects were observed at the junction between the nanobelts and the dendrites. A self-catalytic vapor-liquid-solid (VLS) process was proposed to explain the growth of the SnO nanobelts and dendrites.

Synthesis and characterization of silica-supported L-Lysine-based dendritic branches

Two series of novel modified silicas have been prepared in which individual dendritic branches have been attached to aminopropylsilica using standard peptide coupling methodology. The dendritic branches are composed of enantiomerically pure l-lysine building blocks, and hence, the modified silicas have the potential to act as chiral stationary phases in chromatography. In one series of modified silicas, the surface of the dendritic branch consists of Boc carbamate groups, whereas the other has benzoyl amide surface groups. Different coupling reagents have been investigated in order to maximize the loading onto the solid phase. The new supported dendritic materials have been fully characterized with properties of the bulk material determined by elemental analysis, 13C NMR, and IR spectroscopy, whereas XPS provides important information about the surface of the modified silica exposed to the incident X-rays, the key region in which potential chromatographic performance of these materials will take place. Although the bulk analyses indicate that loading of the dendritic branch onto silica decreases with increasing dendritic generation (and consequently steric bulk), XPS indicates that the optimum surface coverage is actually obtained at the second generation of dendritic growth.

Deterministic mathematical model for the prediction of the as-cast macrostructure

A multiphase deterministic mathematical model was implemented to predict the formation of the grain macrostructure during unidirectional solidification. The model consists of macroscopic equations of energy, mass, and species conservation coupled with dendritic growth models. A grain nucleation model based on a Gaussian distribution of nucleation undercoolings was also adopted. At some solidification conditions, the cooling curves calculated with the model showed oscillations (""wiggles""), which prevented the correct prediction of the average grain size along the structure. Numerous simulations were carried out at nucleation conditions where the oscillations are absent, enabling an assessment of the effect of the heat transfer coefficient on the average grain size and columnar-to-equiaxed transition.

Halo formation in directional solidification

A new model of halo formation in directional solidification is presented. The model describes halo formation in terms of competitive growth between the halo phase and coupled eutectic in liquid with a nominal composition that follows the primary phase liquidus extension with decreasing temperature. The model distinguishes between the effects of constitutional, capillarity and (where applicable) kinetic undercooling and avoids a number of theoretical inconsistencies associated with previous models. The critical growth rate for halo formation in directionally solidified hypereutectic Al-Si alloys is calculated using the model in conjunction with models of primary phase and coupled eutectic growth from the literature. The calculated result agrees reasonably well with the experimental result of Yilmaz and Elliott (Met. Sci. 18 (1984) 362), given the use of a relatively simple isolated dendrite tip model to calculate the growth undercooling of the halo tip. (C) 2002 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.

Numerische Simulation dendritischen Kristallwachstums

Dendritic Growth, Stefan-Problem, Finite-Element-Method, Level-Set-Method

Differential distribution of two microtubule-associated proteins, MAP2 and MAP5, during chick dorsal root ganglion development in situ and in culture.

Microtubule-associated proteins (MAPs) are essential components necessary for the early growth process of axons and dendrites, and for the structural organization within cells. Both MAP2 and MAP5 are involved in these events, MAP2 occupying a role predominantly in dendrites, and MAP5 being involved in both axonal and dendritic growth. In the chick dorsal root ganglia, pseudo-unipolar sensory neurons have a T-shaped axon and are devoid of any dendrites. Therefore, they offer an ideal model to study the differential expression of MAPs during DRG development, specifically during axonal growth. In this study we have analyzed the expression and localization of MAP2 and MAP5 isoforms during chick dorsal root ganglia development in vivo, and in cell culture. In DRG, both MAPs appeared as early as E5. MAP2 consists of the 3 isoforms MAP2a, b and c. On blots, no MAP2a could be found at any stage. MAP2b increased between E6 and E10 and thereafter diminished slowly in concentration, while MAP2c was found between stages E6 and E10 in DRG. By immunocytochemistry, MAP2 isoforms were mainly located in the neuronal perikarya and in the proximal portion of axons, but could not be localized to distal axonal segments, nor in sciatic nerve at any developmental stage. On blots, MAP5 was present in two isoforms, MAP5a and MAP5b. The concentration of MAP5a was highest at E6 and then decreased to a low level at E18. In contrast, MAP5b increased between E6 and E10, and rapidly decreased after E14. Only MAP5a was present in sciatic nerve up to E14. Immunocytochemistry revealed that MAP5 was localized mainly in axons, although neuronal perikarya exhibited a faint immunostaining. Strong staining of axons was observed between E10 and E14, at a time coincidental to a period of intense axonal outgrowth. After E14 immunolabeling of MAP5 decreased abruptly. In DRG culture, MAP2 was found exclusively in the neuronal perikarya and the most proximal neurite segment. In contrast, MAP5 was detected in the neuronal cell bodies and all along their neurites. In conclusion, MAP2 seems involved in the early establishment of the cytoarchitecture of cell bodies and the proximal axon segment of somatosensory neurons, while MAP5 is clearly related to axonal growth.

Current concepts in the pathogenesis of urea cycle disorders.

The common feature of urea cycle diseases (UCD) is a defect in ammonium elimination in liver, leading to hyperammonemia. This excess of circulating ammonium eventually reaches the central nervous system, where the main toxic effects of ammonium occur. These are reversible or irreversible, depending on the age of onset as well as the duration and the level of ammonium exposure. The brain is much more susceptible to the deleterious effects of ammonium during development than in adulthood, and surviving UCD patients may develop cortical and basal ganglia hypodensities, cortical atrophy, white matter atrophy or hypomyelination and ventricular dilatation. While for a long time, the mechanisms leading to these irreversible effects of ammonium exposure on the brain remained poorly understood, these last few years have brought new data showing in particular that ammonium exposure alters several amino acid pathways and neurotransmitter systems, cerebral energy, nitric oxide synthesis, axonal and dendritic growth, signal transduction pathways, as well as K(+) and water channels. All these effects of ammonium on CNS may eventually lead to energy deficit, oxidative stress and cell death. Recent work also proposed neuroprotective strategies, such as the use of NMDA receptor antagonists, nitric oxide inhibitors, creatine and acetyl-l-carnitine, to counteract the toxic effects of ammonium. Better understanding the pathophysiology of ammonium toxicity to the brain under UCD will allow the development of new strategies for neuroprotection.

Spatial, temporal and subcellular localization of islet-brain 1 (IB1), a homologue of JIP-1, in mouse brain.

Islet-brain 1 (IB1) was recently identified as a DNA-binding protein of the GLUT2 gene promoter. The mouse IB1 is the rat and human homologue of the Jun-interacting protein 1 (JIP-1) which has been recognized as a key player in the regulation of c-Jun amino-terminal kinase (JNK) mitogen-activated protein kinase (MAPK) pathways. JIP-1 is involved in the control of apoptosis and may play a role in brain development and aging. Here, IB1 was studied in adult and developing mouse brain tissue by in situ hybridization, Northern and Western blot analysis at cellular and subcellular levels, as well as by immunocytochemistry in brain sections and cell cultures. IB1 expression was localized in the synaptic regions of the olfactory bulb, retina, cerebral and cerebellar cortex and hippocampus in the adult mouse brain. IB1 was also detected in a restricted number of axons, as in the mossy fibres from dentate gyrus in the hippocampus, and was found in soma, dendrites and axons of cerebellar Purkinje cells. After birth, IB1 expression peaks at postnatal day 15. IB1 was located in axonal and dendritic growth cones in primary telencephalon cells. By biochemical and subcellular fractionation of neuronal cells, IB1 was detected both in the cytosolic and membrane fractions. Taken together with previous data, the restricted neuronal expression of IB1 in developing and adult brain and its prominent localization in synapses suggest that the protein may be critical for cell signalling in developing and mature nerve terminals.