Nonparametric Estimation in the Class of Bisexual Processes with Population-Size Dependent Mating

2000 Mathematics Subject Classification: 60J80, 62M05

Limit Theorems for Regenerative Excursion Processes

This work is supported by Bulgarian NFSI, grant No. MM–704/97

Branching Stochastic Processes: History, Theory, Applications

Косто В. Митов - Разклоняващите се стохастични процеси са модели на популационната динамика на обекти, които имат случайно време на живот и произвеждат потомци в съответствие с дадени вероятностни закони. Типични примери са ядрените реакции, клетъчната пролиферация, биологичното размножаване, някои химични реакции, икономически и финансови явления. В този обзор сме се опитали да представим съвсем накратко някои от най-важните моменти и факти от историята, теорията и приложенията на разклоняващите се процеси.

Controlled Multitype Branching Models: Geometric Growth

2000 Mathematics Subject Classi cation: 60J80, 60F25.

Branching Populations of Cells Bearing a Continuous Label

2000 Mathematics Subject Classification: 60J80.

Mutually catalytic branching at infinite rate

The purpose of this doctoral thesis is to prove existence for a mutually catalytic random walk with infinite branching rate on countably many sites. The process is defined as a weak limit of an approximating family of processes. An approximating process is constructed by adding jumps to a deterministic migration on an equidistant time grid. As law of jumps we need to choose the invariant probability measure of the mutually catalytic random walk with a finite branching rate in the recurrent regime. This model was introduced by Dawson and Perkins (1998) and this thesis relies heavily on their work. Due to the properties of this invariant distribution, which is in fact the exit distribution of planar Brownian motion from the first quadrant, it is possible to establish a martingale problem for the weak limit of any convergent sequence of approximating processes. We can prove a duality relation for the solution to the mentioned martingale problem, which goes back to Mytnik (1996) in the case of finite rate branching, and this duality gives rise to weak uniqueness for the solution to the martingale problem. Using standard arguments we can show that this solution is in fact a Feller process and it has the strong Markov property. For the case of only one site we prove that the model we have constructed is the limit of finite rate mutually catalytic branching processes as the branching rate approaches infinity. Therefore, it seems naturalto refer to the above model as an infinite rate branching process. However, a result for convergence on infinitely many sites remains open.

Chemical and germanium isotopic compositions of sediments and sedimentary rocks from ODP Sites 129-801 and 185-1149

A new technique for the precise and accurate determination of Ge stable isotope compositions has been developed and applied to silicate rocks and biogenic opal. The analyses were performed using a continuous flow hydride generation system coupled to a MC-ICP-MS. Samples have been purified through anion- and cation-exchange resins to separate Ge from matrix elements and eliminate potential isobaric interferences. Variations of 74Ge/70Ge ratios are expressed as d74Ge values relative to our internal standard and the long-term external reproducibility of the data is better than 0.2? for sample size as low as 15 ng of Ge. Data are presented for igneous and sedimentary rocks, and the overall variation is 2.4? in d74Ge, representing 12 times the uncertainty of the measurements and demonstrating that the terrestrial isotopic composition of Ge is not unique. Co-variations of 74Ge/70Ge, 73Ge/70Ge and 72Ge/70Ge ratios follow a mass-dependent behaviour and imply natural isotopic fractionation of Ge by physicochemical processes. The range of d74Ge in igneous rocks is only 0.25? without systematic differences among continental crust, oceanic crust or mantle material. On this basis, a Bulk Silicate Earth reservoir with a d74Ge of 1.3+/-0.2? can be defined. In contrast, modern biogenic opal such as marine sponges and authigenic glauconite displayed higher d74Ge values between 2.0? and 3.0?. This suggests that biogenic opal may be significantly enriched in light isotopes with respect to seawater and places a lower bound on the d74Ge of the seawater to +3.0?.This suggests that seawater is isotopically heavy relative to Bulk Silicate Earth and that biogenic opal may be significantly fractionated with respect to seawater. Deep-sea sediments are within the range of the Bulk Silicate Earth while Mesozoic deep-sea cherts (opal and quartz) have d74Ge values ranging from 0.7? to 2.0?. The variable values of the cherts cannot be explained by binary mixing between a biogenic component and a detrital component and are suggestive of enrichment in the light isotope of diagenetic quartz. Further work is now required to determine Ge isotope fractionation by siliceous organisms and to investigate the effect of diagenetic processes during chert lithification.

Birth-death processes with disaster and instantaneous resurrection

A new structure with the special property that instantaneous resurrection and mass disaster are imposed on an ordinary birth-death process is considered. Under the condition that the underlying birth-death process is exit or bilateral, we are able to give easily checked existence criteria for such Markov processes. A very simple uniqueness criterion is also established. All honest processes are explicitly constructed. Ergodicity properties for these processes are investigated. Surprisingly, it can be proved that all the honest processes are not only recurrent but also ergodic without imposing any extra conditions. Equilibrium distributions are then established. Symmetry and reversibility of such processes are also investigated. Several examples are provided to illustrate our results.

Some Probabilistic Results in a Bisexual Branching Process with Immigration

2000 Mathematics Subject Classification: 60J80.

Total Progeny in a Subcritical Branching Process with two Types of Immigration

2000 Mathematics Subject Classification: 60J80, 60F05

A Generalized Quasi-Likelihood Estimator for Nonstationary Stochastic Processes−Asymptotic Properties and Examples

2010 Mathematics Subject Classification: 62F12, 62M05, 62M09, 62M10, 60G42.

Building hippocampal circuits to learn and remember: insights into the development of human memory

The hippocampal formation is essential for the processing of episodic memories for autobiographical events that happen in unique spatiotemporal contexts. Interestingly, before 2 years of age, children are unable to form or store episodic memories for recall later in life, a phenomenon known as infantile amnesia. From 2 to 7 years of age, there are fewer memories than predicted based on a forgetting function alone, a phenomenon known as childhood amnesia. Here, we discuss the postnatal maturation of the primate hippocampal formation with the goal of characterizing the development of the neurobiological substrates thought to subserve the emergence of episodic memory. Distinct regions, layers and cells of the hippocampal formation exhibit different profiles of structural and molecular development during early postnatal life. The protracted period of neuronal addition and maturation in the dentate gyrus is accompanied by the late maturation of specific layers in different hippocampal regions that are located downstream from the dentate gyrus, particularly CA3. In contrast, distinct layers in several hippocampal regions, particularly CA1, which receive direct projections from the entorhinal cortex, exhibit an early maturation. In addition, hippocampal regions that are more highly interconnected with subcortical structures, including the subiculum, presubiculum, parasubiculum and CA2, mature even earlier. These findings, together with our studies of the development of human spatial memory, support the hypothesis that the differential maturation of distinct hippocampal circuits might underlie the differential emergence of specific "hippocampus-dependent" memory processes, culminating in the emergence of episodic memory concomitant with the maturation of all hippocampal circuits.

Disaster recovery of business critical 3-tiered ERP applications: Disaster Recovery of Nokia Groups SAP R/3

Nykyaikaisessa liiketoimintaympäristössä yritysten kriittisiksi resursseiksi ovat muodostuneet liiketoimintaa tukevat tietojärjestelmät. Mahdollisuus hyödyntää näitä resursseja riippuu ko. liiketoiminnalle kriittisten järjestelmien luotettavuudesta ja hyödynnettävien sovellusten saatavuudesta. Eräs tilanne jossa järjestelmien kyky tukea todellisia liiketoimintaprosesseja vaarantuu on katastrofi. Vaikutukseltaan katastrofi voi olla paikallinen tai kattaa laajojakin alueita. Eri tyyppisiin katastrofeihin on varauduttava niiden edellyttämin tavoin. Eräs kriittisten tietojärjestelmien arkkitehtuuriin vaikuttanut trendi 90-luvulla on ollut client/server lähestymistapa. Client/server paradigman mukaan sovellus jaetaan tasoihin siten että esitys-, sovellus- ja tietokantakerrokset voidaan erottaa fyysisesti toisistaan näiden silti muodostaessa loogisesti yhtenäisen kokonaisuuden. Liiketoiminnan näkökulmasta 90- luvun mullistavia IT-uutuuksia olivat toiminnanohjausjärjestelmät, joiden avulla oli mahdollista hallita koko tuotantoketjua ja muita prosessikokonaisuuksia lähes reaaliajassa. Monikerroksisten toiminnanohjausjärjestelmien luotettavuus on osoittautunut haastavavaksi sillä kaikkien kerrosten suojaaminen kaikilta mahdollisilta katastrofeilta täydellisesti on nykyisellä teknologialla mahdotonta. Kompromissien tekemiseksi on oltava selvillä kunkin menetetyn prosessin aiheuttamista taloudellisista ja liiketoiminnallisista vaikutuksista. Tämän vuoksi juuri toiminnanohjausjärjestelmät ovat mielenkiintoisia, vaikuttavathan ne liiketoimintaprosesseihin läpi koko yrityksen prosessiketjun. Monikerroksisten client/server arkkitehtuuriin pohjautuvien toiminnanohjausjärjestelmien suojaamisessa katastrofeilta onkin sovellettava useita tekniikoita ja teknologioita, ja yhdistettävä kokonaisuus prosessikehykseen. Näin voidaan luoda suunnitelmallinen osa IT strategiaa, joka ottaa kantaa liiketoiminnan jatkuvuuteen katastrofitilanteessa ja mahdollistaa nopean ja täydellisen palautumisen kaikissa olosuhteissa.

Surprisingly slow reaction of dimethylsilylene with dimethylgermane: time-resolved kinetic studies and related quantum chemical calculations

Time-resolved studies of silylene, SiH2, and dimethylsilylene, SiMe2, generated by the 193 nm laser flash photolysis of appropriate precursor molecules have been carried out to obtain rate constants for their bimolecular reactions with dimethylgermane, Me2GeH2, in the gas phase. SiMe2 + Me2GeH2 was studied at five temperatures in the range 299-555 K. Problems of substrate UV absorption at 193 nm at temperatures above 400 K meant that only three temperatures could be used reliably for rate constant measurement. These rate constants gave the Arrhenius parameters log(A/cm(3) molecule(-1) s(-1)) = -13.25 +/- 0.16 and E-a = -(5.01 +/- 1.01) kJ mol(-1). Only room temperature studies of SiH2 were carried out. These gave values of (4.05 +/- 0.06) x 10(-10) cm(3) molecule(-1) s(-1) (SiH2 + Me2GeH2 at 295 K) and also (4.41 +/- 0.07) x 10(-10) cm(3) molecule(-1) s(-1) (SiH2 + MeGeH3 at 296 K). Rate constant comparisons show the surprising result that SiMe2 reacts 12.5 times slower with Me2GeH2 than with Me2SiH2. Quantum chemical calculations (G2(MP2,SVP)//B3LYP level) of the model Si-H and Ge-H insertion processes of SiMe2 with SiH4/MeSiH3 and GeH4/MeGeH3 support these findings and show that the lower reactivity of SiMe2 with Ge-H bonds is caused by a higher secondary barrier for rearrangement of the initially formed complexes. Full details of the structures of intermediate complexes and the discussion of their stabilities are given in the paper. Other, related, comparisons of silylene reactivity are also presented.

The immunogenicity of chemically derived zwitterionic polysaccharides

Bacterial capsular polysaccharides (PS) which naturally contain zwitterionic charge motifs (ZPS) possess specific immunostimulatory activity, leading to direct activation of antigen-presenting cells (APCs) through Toll-like receptor 2 (TLR2) and of T cells in co-culture systems. When administered intraperitoneally, ZPS and bacteria expressing them are involved in the induction or regulation of T-cell dependent inflammatory processes such as intra-abdominal abscess formation. Moreover it has been published that ZPSs are processed to low molecular weight carbohydrates and presented to T cells through a pathway similar to that used for protein antigens. These findings were in contrast with the paradigm according to which polysaccharides are T-independent antigens unable to be presented in association with MHC class II molecules and unable to induce a protective immune response. For this reason in glycoconjugate vaccines polysaccharides often need to be conjugated to a carrier protein to induce protection. The aim of our work was to generate vaccine candidates with antigen and adjuvant properties in one molecule by the chemical introduction of a positive charge into naturally anionic PS from group B streptococcus (GBS). The resulting zwitterionic PS (ZPS) has the ability to activate human and mouse APCs, and in mixed co-cultures of monocytes and T cells, ZPS induce MHC II-dependent T-cell proliferation and up-regulation of activation markers. TLR2 transfectants show reporter gene transcription upon incubation with ZPS and these stimulatory qualities can be blocked by anti-TLR2 mAbs or by the destruction of the zwitterionic motif. However, in vivo, ZPS used alone as vaccine antigen failed to induce protection against GBS challenge, a result which does not confirm the above mentioned postulate that ZPS are T-cell dependent Ags by virtue of their charge motif. Thus to make ZPS visible to the immune system we have conjugated ZPS with a carrier protein. ZPS-glycoconjugates induce higher T cell and Ab responses to carrier and PS, respectively, compared to control PS-glycoconjugates made with the native polysaccharide form. Moreover, protection of mothers or neonate offspring from lethal GBS challenge is better when mothers are immunized with ZPS-conjugates compared to immunization with PS-conjugates. In TLR2 knockout mice, ZPS-conjugates lose both their increased immunogenicity and protective effect after vaccination. When ZPS are co-administered as adjuvants with unconjugated tetanus toxoid (TT), they have the ability to increase the TT-specific antibody titer. In conclusion, glycoconjugates containing ZPS are potent vaccines. They target Ag to TLR2-expressing APCs and activate these APCs, leading to better T cell priming and ultimately to higher protective Ab titers. Thus, rational chemical design can generate potent novel PS-adjuvants with wide application, including glycoconjugates and co-administration with unrelated protein Ags.