Evaluation of molecular, cellular and behavioral consequences of serotonin 1A receptor deletion

In 1998, three different research groups simultaneously reported increased anxiety-related behavior in tests of conflict in their serotonin 1a (5-HT1a) receptor knockout (KO) line with male mice being more severely affected by 5-HT1a receptor deletion than female KO. Similarly, in the hippocampus, we observed increased dendritic complexity in the stratum radiatum of CA1 pyramidal neurons in male but not in female 5-HT1a receptor KO mice. These observations prompted us to investigate gender- dependent differences of 5-HT1a receptor deletion in hippocampal-related behavioral tasks. Testing our mice in anxiety-related paradigms, we reproduced the original studies showing increased anxiety- related behavior in male 5-HT1a receptor KO mice when compared to male WT mice, but no difference between female 5-HT1a receptor KO and WT mice. Similarly, male 5-HT1a receptor KO mice were impaired in association of aversive stimuli fear conditioning paradigms. We argue that increased dendritic complexity and increased synaptic strength of CA3-CA1 synapses in the stratum radiatum impaired proper signal propagation attributed to overactivation of CA1 pyramidal neurons leading to impaired fear memory of male 5-HT1a receptor KO mice. Similar mechanisms in the ventral hippocampus are likely to have contributed to gender-dependent differences in anxiety-related behavior in our and the original studies from 1998. In this study, we started to shed light on the 5-HT1a receptor downstream signaling pathways involved in dendritogenesis of pyramidal neurons during early postnatal development. We could show that NR2B-containing NMDA receptor during development acts downstream of 5-HT1a receptor and is responsible for increased amount of branching in male 5-HT1a receptor KO mice. Conversely, protein and NR2B mRNA expression was increased in 5-HT1a receptor KO mice at P15. Although the exact signaling cascade of 5-HT1a receptor regulating NR2B-containing NMDA receptor has not been determined, CaMKII is a potential downstream effector to influence transportation and removal of NR2B-containing NMDA receptors to and from the synapse. In contrast, Erk1/2 likely acts downstream of NR2B-containing NMDA receptors and was shown to be sufficient to regulate dendritic branching. Moreover, increased NR2B-containing NMDA receptor mediated cell death via excitotoxicity during development and is likely to be involved in reduced survival of adult born neurons in the hippocampus of 5-HT1a receptor KO male. The convergence of 5-HT1a receptor signaling onto NR2B-containing NMDA receptor signaling enables estrogen to interfere with its downstream pathway via G-protein coupled estrogen receptor 1 activation resulting in normalization of branching and behavior in female 5-HT1a receptor mice. In conclusion, our data strongly suggests a hormone- regulated mechanism that by converging on NR2B-containing NMDA receptor signaling is able to normalize morphology of pyramidal neurons and behavior of female 5-HT1a receptor KO mice. Our findings provide a possible explanation for gender-dependent differences in the occurrence of mental disorders with 5-HT1a receptor abnormalities as a strong predisposing factor. -- En 1998, trois équipes de recherche ont décrit un comportement de type anxieux dans des tests de conflit pour leur souris transgéniques avec une délétion du gène pour le récepteur 5-HT1a de la sérotonine. De plus, les trois groupes rapportent un phénotype plus sévère pour le comportement anxieux chez les souris transgéniques mâles que femelles. Dans l'hippocampe, la région avec la densité de récepteur 5-HT1a la plus élevée dans le télencéphale, nous avons observé dans le stratum radiatum une complexité accrue des arborisations dendritiques des neurones pyramidaux du secteur CA1 chez les souris transgénique mâles mais pas chez les femelles. Cette observation nous a encouragés à initier cette étude sur les différences en fonction du genre utilisant les tests comportementaux en rapport avec les fonctions de l'hippocampe chez les souris déficientes pour le récepteur 5-HT1a.Testant nos souris avec des paradigmes associés à l'anxiété, nous avons reproduit les données originales montrant que les souris transgéniques mâles ont un phénotype plus sévère que les souris mâles sauvages, mais qu'aucune différence n'est observée entre les femelles sauvages et transgéniques. De même, les souris mâles déficientes pour le récepteur 5-HT1a sont handicapées dans les tests de conditionnement au stress avec des stimuli aversifs. Nous faisons l'hypothèse que l'augmentation de la complexité de l'arborisation dendritique et l'augmentation de la force du signal synaptique entres les régions CA3 et CA1 de l'hippocampe dans le stratum radiatum perturbe la propagation du signal nerveux qui conduit à l'hyperactivation des neurones du secteur CA1. Ceci conduit à une mémoire de stress altérée chez les souris mâles déficientes pour le récepteur 5-HT1a. Un mécanisme similaire dans l'hippocampe ventral contribue probablement aux différences en fonction du genre dans les tests pour le comportement de type anxieux qui ont été rapportés dans les études originales de 1998. Les mesures de protéine et de mRNA ont mis en évidence une augmentation de l'expression du récepteur NMDA contenant la sous- unité NR2B dans les souris déficientes pour le récepteur 5-HT1a à P15. Dans les cultures organotypiques d'hippocampe, nous avons commencé à disséquer les messagers secondaires à l'activation du récepteur 5-HT1a qui sont impliqués dans la régulation de la croissance dendritique des neurones pyramidaux pendant la période postnatale précoce. Nous avons démontré que les récepteurs NR2B sont en aval de l'activation du récepteur 5-HT1a et qu'ils sont impliqués dans l'accroissement du nombre de dendrites chez la souris mâle déficiente pour le récepteur 5-HT1a. Bien que la cascade de signalisation du récepteur 5-HT1a pour réguler les récepteurs NMDA contenant le NR2B ne soit pas établie, CaMKII est identifié comme un effecteur potentiel pour altérer le transport du récepteur NMDA à la synapse. D'autre part, Erk1/2 est probablement un messager en aval du NR2B du récepteur NMDA, et a été documenté comme suffisant pour réguler l'arborisation dendritique. L'augmentation de NR2B à la synapse des souris déficientes pour le récepteur 5-HT1a peut conduire à une augmentation de l'excitotoxicité dans les cellules. Nous avons observé une augmentation chez la souris déficiente pour le récepteur 5-HT1a de la mort cellulaire dans des tranches d'hippocampe stimulées, ce qui peut être en relation avec la réduction de la survie des neurones générés dans l'hippocampe de la souris mâle transgénique adulte par rapport à la souris mâle sauvage. De plus, la convergence de la signalisation du récepteur 5-HT1a sur la signalisation de la sous-unité NR2B du récepteur NMDA permet à l'oestrogène d'interférer avec sa voie de signalisation du récepteur de l'oestrogène couplé à une protéine G (GPER-1), ceci permettant à l'oestrogène de réduire la taille de l'arborisation des neurones pyramidaux de CA1 chez la femelle de la souris déficiente pour le récepteur 5-HT1a. En conclusion, nos observations suggèrent fortement qu'un mécanisme hormonal convergeant sur la voie de signalisation de la sous-unité NR2B du récepteur NMDA permet la normalisation de l'exubérance des dendrites des neurones CA1 de l'hippocampe et du comportement des souris femelles déficientes pour le récepteur 5-HT1a. Ceci donne une explication possible pour la différence en fonction du genre dans l'apparition de troubles mentaux avec les variations du récepteur 5-HT1a comme facteur de prédisposition important.

New insights into cellular prion protein (PrPc) functions: the 'ying and yang' of a relevant protein.

The conversion of cellular prion protein (PrPc), a GPI-anchored protein, into a protease-K-resistant and infective form (generally termed PrPsc) is mainly responsible for Transmissible Spongiform Encephalopathies (TSEs), characterized by neuronal degeneration and progressive loss of basic brain functions. Although PrPc is expressed by a wide range of tissues throughout the body, the complete repertoire of its functions has not been fully determined. Recent studies have confirmed its participation in basic physiological processes such as cell proliferation and the regulation of cellular homeostasis. Other studies indicate that PrPc interacts with several molecules to activate signaling cascades with a high number of cellular effects. To determine PrPc functions, transgenic mouse models have been generated in the last decade. In particular, mice lacking specific domains of the PrPc protein have revealed the contribution of these domains to neurodegenerative processes. A dual role of PrPc has been shown, since most authors report protective roles for this protein while others describe pro-apoptotic functions. In this review, we summarize new findings on PrPc functions, especially those related to neural degeneration and cell signaling.

HIV-1 Capture and Transmission by Dendritic Cells: The Role of Viral Glycolipids and the Cellular Receptor Siglec-1

Dendritic cells (DCs) are essential in order to combat invading viruses and trigger antiviral responses. Paradoxically, in the case of HIV-1, DCs might contribute to viral pathogenesis through trans-infection, a mechanism that promotes viral capture and transmission to target cells, especially after DC maturation. In this review, we highlight recent evidence identifying sialyllactosecontaining gangliosides in the viral membrane and the cellular lectin Siglec-1 as critical determinants for HIV-1 capture and storage by mature DCs and for DC-mediated trans-infection of T cells. In contrast, DC-SIGN, long considered to be the main receptor for DC capture of HIV-1, plays a minor role in mature DC-mediated HIV-1 capture and trans-infection.

Integrating quantitative proteomics and metabolomics in a cellular model of diabetic retinopathy

Diabetic retinopathy is the leading cause of visual loss in individuals under the age of 55. Most investigations into the pathogenesis of diabetic retinopathy have been concentrated on the neural retina since this is where clinical lesions are manifested. Recently, however, various abnormalities in the structural and secretory functions of retinal pigment epithelium that are essential for neuroretina survival, have been found in diabetic retinopathy. In this context, here we study the effect of hyperglycemic and hypoxic conditions on the metabolism of a human retinal pigment epithelial cell line (ARPE-19) by integrating quantitative proteomics using tandem mass tagging (TMT), untargeted metabolomics using MS and NMR, and 13C-glucose isotopic labeling for metabolic tracking. We observed a remarkable metabolic diversification under our simulated in vitro hyperglycemic conditions of diabetes, characterized increased flux through polyol pathways and inhibition of the Krebs cycle and oxidative phosphorylation. Importantly, under low oxygen supply RPE cells seem to consume rapidly glycogen storages and stimulate anaerobic glycolysis. Our results therefore pave the way to future scenarios involving new therapeutic strategies addressed to modulating RPE metabolic impairment, with the aim of regulating structural and secretory alterations of RPE. Finally, this study shows the importance of tackling biomedical problems by integrating metabolomic and proteomics results.

Activation of p53 by nutlin-3a induces apoptosis and cellular senescence in human glioblastoma multiforme

Glioblastoma multiforme (GBM) is the most common and aggressive primary brain tumor in adults. Despite concerted efforts to improve current therapies and develop novel clinical approaches, patient survival remains poor. As such, increasing attention has focused on developing new therapeutic strategies that specifically target the apoptotic pathway in order to improve treatment responses. Recently, nutlins, small-molecule antagonists of MDM2, have been developed to inhibit p53-MDM2 interaction and activate p53 signaling in cancer cells. Glioma cell lines and primary cultured glioblastoma cells were treated with nutlin-3a. Nutlin-3a induced p53-dependent G1- and G2-M cell cycle arrest and apoptosis in glioma cell lines with normal TP53 status. In addition, nutlin-arrested glioma cells show morphological features of senescence and persistent induction of p21 protein. Furthermore, senescence induced by nutlin-3a might be depending on mTOR pathway activity. In wild-type TP53 primary cultured cells, exposure to nutlin-3a resulted in variable degrees of apoptosis as well as cellular features of senescence. Nutlin-3a-induced apoptosis and senescence were firmly dependent on the presence of functional p53, as revealed by the fact that glioblastoma cells with knockdown p53 with specific siRNA, or cells with mutated or functionally impaired p53 pathway, were completely insensitive to the drug. Finally, we also found that nutlin-3a increased response of glioma cells to radiation therapy. The results provide a basis for the rational use of MDM2 antagonists as a novel treatment option for glioblastoma patients.

Pharmacological Therapy in the Heart as an Alternative to Cellular Therapy: A Place for the Brain Natriuretic Peptide?

The discovery that stem cells isolated from different organs have the ability to differentiate into mature beating cardiomyocytes has fostered considerable interest in developing cellular regenerative therapies to treat cardiac diseases associated with the loss of viable myocardium. Clinical studies evaluating the potential of stem cells (from heart, blood, bone marrow, skeletal muscle, and fat) to regenerate the myocardium and improve its functional status indicated that although the method appeared generally safe, its overall efficacy has remained modest. Several issues raised by these studies were notably related to the nature and number of injected cells, as well as the route and timing of their administration, to cite only a few. Besides the direct administration of cardiac precursor cells, a distinct approach to cardiac regeneration could be based upon the stimulation of the heart's natural ability to regenerate, using pharmacological approaches. Indeed, differentiation and/or proliferation of cardiac precursor cells is controlled by various endogenous mediators, such as growth factors and cytokines, which could thus be used as pharmacological agents to promote regeneration. To illustrate such approach, we present recent results showing that the exogenous administration of the natriuretic peptide BNP triggers "endogenous" cardiac regeneration, following experimental myocardial infarction.

Activation of p53 by nutlin-3a induces apoptosis and cellular senescence in human glioblastoma multiforme

Glioblastoma multiforme (GBM) is the most common and aggressive primary brain tumor in adults. Despite concerted efforts to improve current therapies and develop novel clinical approaches, patient survival remains poor. As such, increasing attention has focused on developing new therapeutic strategies that specifically target the apoptotic pathway in order to improve treatment responses. Recently, nutlins, small-molecule antagonists of MDM2, have been developed to inhibit p53-MDM2 interaction and activate p53 signaling in cancer cells. Glioma cell lines and primary cultured glioblastoma cells were treated with nutlin-3a. Nutlin-3a induced p53-dependent G1- and G2-M cell cycle arrest and apoptosis in glioma cell lines with normal TP53 status. In addition, nutlin-arrested glioma cells show morphological features of senescence and persistent induction of p21 protein. Furthermore, senescence induced by nutlin-3a might be depending on mTOR pathway activity. In wild-type TP53 primary cultured cells, exposure to nutlin-3a resulted in variable degrees of apoptosis as well as cellular features of senescence. Nutlin-3a-induced apoptosis and senescence were firmly dependent on the presence of functional p53, as revealed by the fact that glioblastoma cells with knockdown p53 with specific siRNA, or cells with mutated or functionally impaired p53 pathway, were completely insensitive to the drug. Finally, we also found that nutlin-3a increased response of glioma cells to radiation therapy. The results provide a basis for the rational use of MDM2 antagonists as a novel treatment option for glioblastoma patients.

Lamellarin D bioconjugates I: synthesis and cellular internalization of PEG-derivatives

Herein is reported the design and synthesis of poly(ethylene glycol) derivatives of Lamellarin D with the aim of modulating their physicochemical properties, and improving the biological activity. Mono-, di- and tri-PEG conjugates with improved solubility were obtained in 18-57% overall yields from the corresponding partially protected phenolic derivatives of Lamellarin D. Conjugates 1-9 were tested in a panel of three human tumor cell lines (MDA-MB-231 breast, A-549 lung and HT-29 colon) to evaluate their cytotoxicity. Several compounds exhibited enhanced cellular internalization, and more than 85% of the derivatives showed a lower GI50 than Lam-D. Furthermore, cell cycle arrest at G2 phase, and apoptotic cell-death pathways were determined for Lamellarin D and these derivatives.

Lamellarin D bioconjugates II: synthesis and cellular internalization of dendrimer and nuclear location signal derivatives

The design and synthesis of Lamellarin D conjugates with a nuclear localization signal peptide and a poly(ethylene glycol)-based dendrimer are described. Conjugates 1-4 were obtained in 8-84% overall yields from the corresponding protected Lamellarin D. Conjugates 1 and 4 are 1.4 to 3.3-fold more cytotoxic than the parent compound against three human tumor cell lines(MDA-MB-231 breast, A-549 lung, and HT-29 colon). Besides, conjugates 3, 4 showed a decrease in activity potency in BJ skin fibroblasts, a normal cell culture. Cellular internalization was analyzed and nuclear distribution pattern was observed for 4, which contains a nuclear localization signalling sequence.

Lamellarin D bioconjugates I: synthesis and cellular internalization of PEG-derivatives

Herein is reported the design and synthesis of poly(ethylene glycol) derivatives of Lamellarin D with the aim of modulating their physicochemical properties, and improving the biological activity. Mono-, di- and tri-PEG conjugates with improved solubility were obtained in 18-57% overall yields from the corresponding partially protected phenolic derivatives of Lamellarin D. Conjugates 1-9 were tested in a panel of three human tumor cell lines (MDA-MB-231 breast, A-549 lung and HT-29 colon) to evaluate their cytotoxicity. Several compounds exhibited enhanced cellular internalization, and more than 85% of the derivatives showed a lower GI50 than Lam-D. Furthermore, cell cycle arrest at G2 phase, and apoptotic cell-death pathways were determined for Lamellarin D and these derivatives.

Estudi i disseny d'un sistema de modificació tímbrica en instruments determinats a través d'anàlisi, filtratge i síntesi de senyal d'àudio digital

Aquest treball final de carrera sorgeix doncs d'una idea molt ambiciosa: crear un sistema de processat de senyal digital que permetés, a temps real, convertir un timbre d'un instrument determinat a un altre, és a dir, a través d'un micròfon que capti el so d'un instrument, com ara el clarinet, analitzar i processar mitjançant programari d'ordinador aquest so d'entrada. Conseqüentment, convertir-lo per poder percebre'l a través dels altaveus com a so d'un altre instrument. D'aquesta manera, un músic amb habilitats per tocar el clarinet, mitjançant aquesta eina podria simular so de saxo, trompeta, etc., sense haver de recórrer a un sintetitzador ni a altres instruments MIDI.

Conservation Laws in Cellular Automata

Conservation laws in physics are numerical invariants of the dynamics of a system. In cellular automata (CA), a similar concept has already been defined and studied. To each local pattern of cell states a real value is associated, interpreted as the “energy” (or “mass”, or . . . ) of that pattern.The overall “energy” of a configuration is simply the sum of the energy of the local patterns appearing on different positions in the configuration. We have a conservation law for that energy, if the total energy of each configuration remains constant during the evolution of the CA. For a given conservation law, it is desirable to find microscopic explanations for the dynamics of the conserved energy in terms of flows of energy from one region toward another. Often, it happens that the energy values are from non-negative integers, and are interpreted as the number of “particles” distributed on a configuration. In such cases, it is conjectured that one can always provide a microscopic explanation for the conservation laws by prescribing rules for the local movement of the particles. The onedimensional case has already been solved by Fuk´s and Pivato. We extend this to two-dimensional cellular automata with radius-0,5 neighborhood on the square lattice. We then consider conservation laws in which the energy values are chosen from a commutative group or semigroup. In this case, the class of all conservation laws for a CA form a partially ordered hierarchy. We study the structure of this hierarchy and prove some basic facts about it. Although the local properties of this hierarchy (at least in the group-valued case) are tractable, its global properties turn out to be algorithmically inaccessible. In particular, we prove that it is undecidable whether this hierarchy is trivial (i.e., if the CA has any non-trivial conservation law at all) or unbounded. We point out some interconnections between the structure of this hierarchy and the dynamical properties of the CA. We show that positively expansive CA do not have non-trivial conservation laws. We also investigate a curious relationship between conservation laws and invariant Gibbs measures in reversible and surjective CA. Gibbs measures are known to coincide with the equilibrium states of a lattice system defined in terms of a Hamiltonian. For reversible cellular automata, each conserved quantity may play the role of a Hamiltonian, and provides a Gibbs measure (or a set of Gibbs measures, in case of phase multiplicity) that is invariant. Conversely, every invariant Gibbs measure provides a conservation law for the CA. For surjective CA, the former statement also follows (in a slightly different form) from the variational characterization of the Gibbs measures. For one-dimensional surjective CA, we show that each invariant Gibbs measure provides a conservation law. We also prove that surjective CA almost surely preserve the average information content per cell with respect to any probability measure.

Neuropeptide Y at the cellular level – Studies on PreproNPY L7P Polymorphism and the Mitochondrial Form of NPY

Neuropeptide Y (NPY) is a widely expressed neurotransmitter in the central and peripheral nervous systems. Thymidine 1128 to cytocine substitution in the signal sequence of the preproNPY results in a single amino acid change where leucine is changed to proline. This L7P change leads to a conformational change of the signal sequence which can have an effect on the intracellular processing of NPY. The L7P polymorphism was originally associated with higher total and LDL cholesterol levels in obese subjects. It has also been associated with several other physiological and pathophysiological responses such as atherosclerosis and T2 diabetes. However, the changes on the cellular level due to the preproNPY signal sequence L7P polymorphism were not known. The aims of the current thesis were to study the effects of the [p.L7]+[p.L7] and the [p.L7]+[p.P7] genotypes in primary cultured and genotyped human umbilical vein endothelial cells (HUVEC), in neuroblastoma (SK-N-BE(2)) cells and in fibroblast (CHO-K1) cells. Also, the putative effects of the L7P polymorphism on proliferation, apoptosis and LDL and nitric oxide metabolism were investigated. In the course of the studies a fragment of NPY targeted to mitochondria was found. With the putative mitochondrial NPY fragment the aim was to study the translational preferences and the mobility of the protein. The intracellular distribution of NPY between the [p.L7]+[p.L7] and the [p.L7]+[p.P7] genotypes was found to be different. NPY immunoreactivity was prominent in the [p.L7]+[p.P7] cells while the proNPY immunoreactivity was prominent in the [p.L7]+[p.L7] genotype cells. In the proliferation experiments there was a difference in the [p.L7]+[p.L7] genotype cells between early and late passage (aged) cells; the proliferation was raised in the aged cells. NPY increased the growth of the cells with the [p.L7]+[p.P7] genotype. Apoptosis did not seem to differ between the genotypes, but in the aged cells with the [p.L7]+[p.L7] genotype, LDL uptake was found to be elevated. Furthermore, the genotype seemed to have a strong effect on the nitric oxide metabolism. The results indicated that the mobility of NPY protein inside the cells was increased within the P7 containing constructs. The existence of the mitochondria targeted NPY fragment was verified, and translational preferences were proved to be due to the origin of the cells. Cell of neuronal origin preferred the translation of mature NPY (NPY1-36) when compared to the non neuronal cells that translated both, NPY and the mitochondrial fragment of NPY. The mobility of the mitochondrial fragment was found to be minimal. The functionality of the mitochondrial NPY fragment remains to be investigated. L7P polymorphism in the preproNPY causes a series of intracellular changes. These changes may contribute to the state of cellular senescence, vascular tone and lead to endothelial dysfunction and even to increased susceptibility to diseases, like atherosclerosis and T2 diabetes.

Granulation tissue formation -The effect of hydroxyapatite coating of cellulose on cellular differentiation

Haavan jyväiskudoksen muodostuminen – Hydroksiapatiittipinnoi-tetun selluloosasienen vaikutus solujen erilaistumiseen paranemisprosessin aikana Etsittäessä uusia luun bioyhteensopivia täytemateriaaleja selluloosasieni päällystettiin luun koostumusta muistuttavalla runsaasti piitä sisältävällä hydroksiapatiittikerroksella. Vastoin odotuksia hydroksiapatiittipinnoitettu selluloosa ei parantanut luun kasvua, vaan päinvastoin ylläpiti tulehdusta ja sidekudossolujen hakeutumista vamma-alueelle. Ihon alle implantoituna sama sienimateriaali edisti merkittävästi haavan verekkään jyväiskudoksen kasvua. Tämän löydöksen perusteella hydroksiapatiittipinnoitetun selluloosasienen vaikutusta haavan soluihin paranemisprosessin aikana tutkittiin tarkemmin ja havaittiin, että tulehdussolujen lisäksi sieniin kertyi tavallista enemmän sekä hematopoieettisia että mesenkymaalisia kantasoluja. Hematopoieettiset kantasolut sijaitsevat luuytimessä lähellä luun sisäpintaa. Luun hydroksiapatiitista vapautuu kalsiumioneja luun jatkuvan fysiologisen uudismuodostuksen ja hajottamisen yhteydessä. Kantasolut etsiytyvät luuytimeen kalsiumia aistivien reseptorien välityksellä. Koska luun pintakerrosta muistuttavasta hydroksiapatiittipinnoitteesta vapautuu kalsiumia, tämän ajateltiin toimivan selityksenä sille, että hematopoieettiset kantasolut hakeutuvat runsaslukuisesti juuri hydroksiapatiittipinnoitettuihin selluloosasieniin. Tämän hypoteesin mukaisesti hydroksiapatiittipinnoitettujen selluloosapalkkien läheisyydestä löydettiin suuria määriä kalsiumreseptoreja sisältäviä soluja. Jatkotutkimuksissa todettiin lisäksi, että hematopoieettiset kantasolut pystyivät sienissä erilaistumaan hemoglobiinia tuottaviksi soluiksi. Havaittujen punasolulinjan merkkiaineiden perusteella näyttäisikin siltä, että haavan paranemiskudoksessa tapahtuu paranemisen aikana ekstramedullaarista erytropoieesia. Nämä soluja ohjaavat vaikutukset saattavat olla hyödyllisiä vaikeasti paranevien haavojen hoidossa.

On Undecidable Dynamical Properties of Reversible One-Dimensional Cellular Automata

Cellular automata are models for massively parallel computation. A cellular automaton consists of cells which are arranged in some kind of regular lattice and a local update rule which updates the state of each cell according to the states of the cell's neighbors on each step of the computation. This work focuses on reversible one-dimensional cellular automata in which the cells are arranged in a two-way in_nite line and the computation is reversible, that is, the previous states of the cells can be derived from the current ones. In this work it is shown that several properties of reversible one-dimensional cellular automata are algorithmically undecidable, that is, there exists no algorithm that would tell whether a given cellular automaton has the property or not. It is shown that the tiling problem of Wang tiles remains undecidable even in some very restricted special cases. It follows that it is undecidable whether some given states will always appear in computations by the given cellular automaton. It also follows that a weaker form of expansivity, which is a concept of dynamical systems, is an undecidable property for reversible one-dimensional cellular automata. It is shown that several properties of dynamical systems are undecidable for reversible one-dimensional cellular automata. It shown that sensitivity to initial conditions and topological mixing are undecidable properties. Furthermore, non-sensitive and mixing cellular automata are recursively inseparable. It follows that also chaotic behavior is an undecidable property for reversible one-dimensional cellular automata.