2 resultados para Probability generating function

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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This thesis is concerned with the adsorption and detachment of polymers at planar, rigid surfaces. We have carried out a systematic investigation of adsorption of polymers using analytical techniques as well as Monte Carlo simulations with a coarse grained off-lattice bead spring model. The investigation was carried out in three stages. In the first stage the adsorption of a single multiblock AB copolymer on a solid surface was investigated by means of simulations and scaling analysis. It was shown that the problem could be mapped onto an effective homopolymer problem. Our main result was the phase diagram of regular multiblock copolymers which shows an increase in the critical adsorption potential of the substrate with decreasing size of blocks. We also considered the adsorption of random copolymers which was found to be well described within the annealed disorder approximation. In the next phase, we studied the adsorption kinetics of a single polymer on a flat, structureless surface in the regime of strong physisorption. The idea of a ’stem-flower’ polymer conformation and the mechanism of ’zipping’ during the adsorption process were used to derive a Fokker-Planck equation with reflecting boundary conditions for the time dependent probability distribution function (PDF) of the number of adsorbed monomers. The numerical solution of the time-dependent PDF obtained from a discrete set of coupled differential equations were shown to be in perfect agreement with Monte Carlo simulation results. Finally we studied force induced desorption of a polymer chain adsorbed on an attractive surface. We approached the problem within the framework of two different statistical ensembles; (i) by keeping the pulling force fixed while measuring the position of the polymer chain end, and (ii) by measuring the force necessary to keep the chain end at fixed distance above the adsorbing plane. In the first case we treated the problem within the framework of the Grand Canonical Ensemble approach and derived analytic expressions for the various conformational building blocks, characterizing the structure of an adsorbed linear polymer chain, subject to pulling force of fixed strength. The main result was the phase diagram of a polymer chain under pulling. We demonstrated a novel first order phase transformation which is dichotomic i.e. phase coexistence is not possible. In the second case, we carried out our study in the “fixed height” statistical ensemble where one measures the fluctuating force, exerted by the chain on the last monomer when a chain end is kept fixed at height h over the solid plane at different adsorption strength ε. The phase diagram in the h − ε plane was calculated both analytically and by Monte Carlo simulations. We demonstrated that in the vicinity of the polymer desorption transition a number of properties like fluctuations and probability distribution of various quantities behave differently, if h rather than the force, f, is used as an independent control parameter.

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CpGV-MCp5 is a natural mutant of the Cydia pomonella Granulovirus (Mexican isolate) (CpGV-M) that harbors an insect host transposon termed TCl4.7 in its genome. TCl4.7 is located between the open reading frames Cp15 and Cp16 and separates two homologous regions hr3 and hr4, which have been recently shown to be origins of replication of CpGV-M. The MCp5 has a significant replication disadvantage in the presence of the wild-type CpGV-M. In this study, the possible effects of TCl4.7 transposon insertion on the genome function of its insertion site has been analysed. The role of Cp15 and Cp16 in the context of the virus infection cycle was examined by generating a CpGV-Bacmid (CpBAC) and Cp15 knock-out (CpBACCp15KO) and Cp16 knock-out (CpBACCp16KO) mutants. The mutant CpBACCp15KO was not able to replicate in CM larvae suggesting that Cp15 was essential for virus replication. In contrast, the mutant CpBACCp16KO infected CM larvae and produced viable occlusion bodies (OBs) demonstrating that Cp16 is a non-essential gene for virus in vivo infection of C. pomonella. The temporal transcription of Cp15 and Cp16, as well as of Cp31 (F protein) as a control, was analysed using RT-PCR and quantitative real-time PCR. It suggested a general delay or reduction of gene transcription of MCp5 compared to the parental CpGV-M. Western blot analyses using anti-Cp15 and anti-Cp16 polyclonal antibodies, however, did not show any immuno-reactive response. Thus, a direct influence of TCl4.7 on the expression of Cp15 and Cp16 could not be substantiated. To investigate whether the interruption of hr3 and hr4 palindromes affects the virus replication, two mutant bacmids with a deletion of hr3 and hr4 (CpBAChr3/hr4-KO) and another with an insertion of a Kanamycin resistance cassette between hr3 and hr4 (CpBAChr3-kan-hr4) were generated. Both mutant bacmids replicated and produced infectious virus OBs, which did not significantly differ in their median lethal concentration (LC50) and median survival time (ST50) compared to the parental CpBAC. Interestingly, the mutant CpBAChr3-kan-hr4 was very effectively out-competed by parental CpBAC, when CM larvae were co-infected with known ratios of OBs of CpBAC and the mutant CpBAChr3-kan-hr4. These observations suggested a functional co-operation between hr3 and hr4 which was interrupted by the KanR insertion in CpBAChr3-kan-hr4 and possibly by TCl4.7 transposon insertion in the mutant MCp5. This hypothesis may explain the observed replication disadvantage of the mutants MCp5 and CpBAChr3-kan-hr4 in the presence of the parental viruses CpGV-M and CpBAC, respectively.