4 resultados para k-Uniformly Convex Function
em Helda - Digital Repository of University of Helsinki
Resumo:
Understanding the process of cell division is crucial for modern cancer medicine due to the central role of uncontrolled cell division in this disease. Cancer involves unrestrained proliferation as a result of cells loosing normal control and being driven through the cell cycle, where they normally would be non-dividing or quiescent. Progression through the cell cycle is thought to be dependent on the sequential activation of cyclin-dependent kinases (Cdks). The full activation of Cdks requires the phosphorylation of a conserved residue (threonine-160 on human Cdk2) on the T-loop of the kinase domain. In metazoan species, a trimeric complex consisting of Cdk7, cyclin H and Mat1 has been suggested to be the T-loop kinase of several Cdks. In addition, Cdk7 have also been implicated in the regulation of transcription. Cdk7, cyclin H, and Mat1 can be found as subunits of general transcription factor TFIIH. Cdk7, in this context, phosphorylates the Carboxy-terminal domain (CTD) of the large subunit of RNA polymerase II (RNA pol II), specifically on serine-5 residues of the CTD repeat. The regulation of Cdk7 in these and other functions is not well known and the unambiguous characterization of the in vivo role of Cdk7 in both T-loop activation and CTD serine-5 phosphorylation has proved challenging. In this study, the fission yeast Cdk7-cyclin H homologous complex, Mcs6-Mcs2, is identified as the in vivo T-loop kinase of Cdk1(Cdc2). It also identifies multiple levels of regulation of Mcs6 kinase activity, i.e. association with Pmh1, a novel fission yeast protein that is the apparent homolog of metazoan Mat1, and T-loop phosphorylation of Mcs6, mediated by Csk1, a monomeric T-loop kinase with similarity to Cak1 of budding yeast. In addition, Skp1, a component of the SCF (Skp1-Cullin-F box protein) ubiquitin ligase is identified by its interactions with Mcs2 and Pmh1. The Skp1 association with Mcs2 and Pmh1 is however SCF independent and does not involve proteolytic degradation but may reflect a novel mechanism to modulate the activity or complex assembly of Mcs6. In addition to Cdk7, also Cdk8 has been shown to have CTD serine-5 kinase activity in vitro. Cdk8 is not essential in yeast but has been shown to function as a transcriptional regulator. The function of Cdk8 is unknown in flies and mammals. This prompted the investigation of murine Cdk8 and its potential role as a redundant CTD serine-5 kinase. We find that Cdk8 is required for development prior to implantation, at a time that is co-incident with a burst of Cdk8 expression during normal development. The results does not support a role of Cdk8 as a serine-5 CTD kinase in vivo but rather shows an unexpected requirement for Cdk8, early in mammalian development. The results presented in this thesis extends our current knowledge of the regulation of the cell cycle by characterizing the function of two distinct cell cycle regulating T-loop kinases, including the unambiguous identification of Mcs6, the fission yeast Cdk7 homolog, as the T-loop kinase of Cdk1. The results also indicate that the function of Mcs6 is conserved from fission yeast to human Cdk7 and suggests novel mechanisms by which the distinct functions of Cdk7 and Mcs6 could be regulated. These findings are important for our understanding of how progression of the cell cycle and proper transcription is controlled, during normal development and tissue homeostasis but also under condition where cells have escaped these control mechanisms e.g. cancer.
Resumo:
The topic of this dissertation is the geometric and isometric theory of Banach spaces. This work is motivated by the known Banach-Mazur rotation problem, which asks whether each transitive separable Banach space is isometrically a Hilbert space. A Banach space X is said to be transitive if the isometry group of X acts transitively on the unit sphere of X. In fact, some weaker symmetry conditions than transitivity are studied in the dissertation. One such condition is an almost isometric version of transitivity. Another investigated condition is convex-transitivity, which requires that the closed convex hull of the orbit of any point of the unit sphere under the rotation group is the whole unit ball. Following the tradition developed around the rotation problem, some contemporary problems are studied. Namely, we attempt to characterize Hilbert spaces by using convex-transitivity together with the existence of a 1-dimensional bicontractive projection on the space, and some mild geometric assumptions. The convex-transitivity of some vector-valued function spaces is studied as well. The thesis also touches convex-transitivity of Banach lattices and resembling geometric cases.
Resumo:
A novel method for functional lung imaging was introduced by adapting the K-edge subtraction method (KES) to in vivo studies of small animals. In this method two synchrotron radiation energies, which bracket the K-edge of the contrast agent, are used for simultaneous recording of absorption-contrast images. Stable xenon gas is used as the contrast agent, and imaging is performed in projection or computed tomography (CT) mode. Subtraction of the two images yields the distribution of xenon, while removing practically all features due to other structures, and the xenon density can be calculated quantitatively. Because the images are recorded simultaneously, there are no movement artifacts in the subtraction image. Time resolution for a series of CT images is one image/s, which allows functional studies. Voxel size is 0.1mm3, which is an order better than in traditional lung imaging methods. KES imaging technique was used in studies of ventilation distribution and the effects of histamine-induced airway narrowing in healthy, mechanically ventilated, and anaesthetized rabbits. First, the effect of tidal volume on ventilation was studied, and the results show that an increase in tidal volume without an increase in minute ventilation results a proportional increase in regional ventilation. Second, spiral CT was used to quantify the airspace volumes in lungs in normal conditions and after histamine aerosol inhalation, and the results showed large patchy filling defects in peripheral lungs following histamine provocation. Third, the kinetics of proximal and distal airway response to histamine aerosol were examined, and the findings show that the distal airways react immediately to histamine and start to recover, while the reaction and the recovery in proximal airways is slower. Fourth, the fractal dimensions of lungs was studied, and it was found that the fractal dimension is higher at the apical part of the lungs compared to the basal part, indicating structural differences between apical and basal lung level. These results provide new insights to lung function and the effects of drug challenge studies. Nowadays the technique is available at synchrotron radiation facilities, but the compact synchrotron radiation sources are being developed, and in relatively near future the method may be used at hospitals.
Resumo:
Fast excitatory transmission between neurons in the central nervous system is mainly mediated by L-glutamate acting on ligand gated (ionotropic) receptors. These are further categorized according to their pharmacological properties to AMPA (2-amino-3-(5-methyl-3-oxo-1,2- oxazol-4-yl)propanoic acid), NMDA (N-Methyl-D-aspartic acid) and kainate (KAR) subclasses. In the rat and the mouse hippocampus, development of glutamatergic transmission is most dynamic during the first postnatal weeks. This coincides with the declining developmental expression of the GluK1 subunit-containing KARs. However, the function of KARs during early development of the brain is poorly understood. The present study reveals novel types of tonically active KARs (hereafter referred to as tKARs) which play a central role in functional development of the hippocampal CA3-CA1 network. The study shows for the first time how concomitant pre- and postsynaptic KAR function contributes to development of CA3-CA1 circuitry by regulating transmitter release and interneuron excitability. Moreover, the tKAR-dependent regulation of transmitter release provides a novel mechanism for silencing and unsilencing early synapses and thus shaping the early synaptic connectivity. The role of GluK1-containing KARs was studied in area CA3 of the neonatal hippocampus. The data demonstrate that presynaptic KARs in excitatory synapses to both pyramidal cells and interneurons are tonically activated by ambient glutamate and that they regulate glutamate release differentially, depending on target cell type. At synapses to pyramidal cells these tKARs inhibit glutamate release in a G-protein dependent manner but in contrast, at synapses to interneurons, tKARs facilitate glutamate release. On the network level these mechanisms act together upregulating activity of GABAergic microcircuits and promoting endogenous hippocampal network oscillations. By virtue of this, tKARs are likely to have an instrumental role in the functional development of the hippocampal circuitry. The next step was to investigate the role of GluK1 -containing receptors in the regulation of interneuron excitability. The spontaneous firing of interneurons in the CA3 stratum lucidum is markedly decreased during development. The shift involves tKARs that inhibit medium-duration afterhyperpolarization (mAHP) in these neurons during the first postnatal week. This promotes burst spiking of interneurons and thereby increases GABAergic activity in the network synergistically with the tKAR-mediated facilitation of their excitatory drive. During development the amplitude of evoked medium afterhyperpolarizing current (ImAHP) is dramatically increased due to decoupling tKAR activation and ImAHP modulation. These changes take place at the same time when the endogeneous network oscillations disappear. These tKAR-driven mechanisms in the CA3 area regulate both GABAergic and glutamatergic transmission and thus gate the feedforward excitatory drive to the area CA1. Here presynaptic tKARs to CA1 pyramidal cells suppress glutamate release and enable strong facilitation in response to high-frequency input. Therefore, CA1 synapses are finely tuned to high-frequency transmission; an activity pattern that is common in neonatal CA3-CA1 circuitry both in vivo and in vitro. The tKAR-regulated release probability acts as a novel presynaptic silencing mechanism that can be unsilenced in response to Hebbian activity. The present results shed new light on the mechanisms modulating the early network activity that paves the way for oscillations lying behind cognitive tasks such as learning and memory. Kainate receptor antagonists are already being developed for therapeutic use for instance against pain and migraine. Because of these modulatory actions, tKARs also represent an attractive candidate for therapeutic treatment of developmentally related complications such as learning disabilities.