Double-stimulus sensitive (temperature and pH) self-assemblable polymers

The rheological properties of block co-polymers in water solution at different pH have been investigated. The block copolymers are based on different architectures containing poly(ethylene glycol), poly(propylene glycol) and different blocks of polymer that change their hydrophobic/hydrophilic behavior as a function of pH. The polymer chains of the starting material were extended at their functional ends with the pH-sensitive units using ATRP; this mechanism of controlled radical polymerization was chosen because of the need to minimize polydispersity and avoid transfer reactions possibly leading to homopolymeric inpurities. The starting material were modified in order to use them as macroinitiator for ATRP. The kinetic of each ATRP reaction has been investigated, in order to be able to synthesize polymers with different degree of polymerization, stopping the reaction when the desired polymers chain length has been reached. We will use polymer chains with different basicity and degree of polymerization to link any possible effect of their presence to the conditions under which they become hydrophobic. It has been shown that the rate of polymerization changes changing the type of macroinitiator and the type of monomer synthesized. The slowest rate of polymerization is the one with the most hindered monomer synthesized using the macroinitiator with the highest molecular weight. The water solubility of the synthesized polymers changes depending on the pH of the solution and on the structure of the polymers. It has been shown using 1H-NMR that some of the synthesized polymers are capable to self-aggregation in water solution. The self-aggregation and the type of aggregation is influenced from the structure of the polymer and from the pH of the solution. Changing the structure of the polymers and the pH it is possible to obtain different type of aggregates in solution. This aggregates differ for the volume occupied from them, and for their hardness. Rheological measurements have been demonstrated that the synthesized polymers are capable to form gel phases. The gelation temperature changes changing the structure of the aggregates in solution and it is possible to correlate the changing in the gelation temperature with the changing in the structure of the polymer.

Structure and properties of composite polyolefin materials

This thesis is based on three main studies, all dealing with structure-property investigation of semicrystalline polyolefin-based composites. Low density poly(ethylene) (LDPE) and isotactic poly(propylene) (iPP) were chosen as parts of the composites materials and they were investigated either separately (as homoploymers), either in blend systems with the composition LDPE/iPP 80/20 or as filled matrix with layered silicate (montmorillonite). The beneficial influence of adding ethylene-co-propylene polymer of amorphous nature, to low density poly(ethylene)/isotactic poly(propylene) (80/20) blend is demonstrated. This effect is expressed by the major improvement of mechanical properties of ternary blends as examined at a macroscopic size scale by means of tensile measurements. The structure investigation also reveals a clear dependence of the morphology on adding ethylene-copropylene polymer. Both the nature and the content of ethylene-co-propylene polymer affect structure and properties. It is further demonstrated that the extent of improvement in mechanical properties is to be related to the molecular details of the compatibilizer. Combination of high molecular weight and high ethylene content is appropriate for the studied system where the poly(ethylene) plays the role of matrix. A new way to characterize semicrystalline systems by means of Brillouin spectroscopy is presented in this study. By this method based on inelastic light scattering, we were able to measure the high frequency elastic constant (c11) of the two microphases in the case where the spherulites size is exhibit size larger than the size of the probing phonon wavelength. In this considered case, the sample film is inhomogeneous over the relevant length scales and there is an access to the transverse phonon in the crystalline phase yielding the elastic constant c44 as well. Isotactic poly(propylene) is well suited for this type of investigation since its morphology can be tailored through different thermal treatment from the melt. Two distinctly different types of films were used; quenched (low crystallinity) and annealed (high crystallinity). The Brillouin scattering data are discussed with respect to the spherulites size, lamellae thickness, long period, crystallinity degree and well documented by AFM images. The structure and the properties of isotactic poly(propylene) matrix modified by inorganic layered silicate, montmorillonite, are discussed with respect to the clay content. Isotactic poly(propylene)-graft-maleic anhydride was used as compatibilizer. It is clearly demonstrated that the property enhancement is largely due to the ability of layered silicate to exfoliate. The intimate dispersion of the nanometer-thick silicate result from a delicate balance of the content ratio between the isotactic poly(propylene)-graft-maleic anhydride compatibilizer and the inorganic clay.

Conjugated semiconducting organic materials for electronic applications

Since conjugated polymers, i.e. polymers with spatially extended pi-bonding system have offered unique physical properties, unobtainable for conventional polymers, significant research efforts directed to better understanding of their chemistry, physics and engineering have been undertaken in the past two and half decades. In this thesis we discuss the synthesis, characterisation and investigation of conjugated semiconducting organic materials for electronic applications. Owing to the versatile properties of metal-organic hybrid materials, there is significant promise that these materials can find use in optical or electronic devices in the future. In addressing this issue, the synthesis of bisthiazol-2-yl-amine (BTA) based polymers is attempted and their metallation is investigated. The focus of this work has been to examine whether the introduction of coordinating metal ions onto the polymer backbone can enhance the conductivity of the material. These studies can provide a basis for understanding the photophysical properties of metal-organic polymers based on BTA. In their neutral (undoped) form conjugated polymers are semiconductors and can be used as active components of plastics electronics such as polymer light-emitting diodes, polymer lasers, photovoltaic cells, field-effect transistors, etc. Toward this goal, it is an objective of the study to synthesize and characterize new classes of luminescent polymeric materials based on anthracene and phenanthrene moieties. A series of materials based on polyphenylenes and poly(phenyleneethynylene)s with 9,10-anthrylene subunits are not only presented but the synthesis and characterization of step-ladder and ladder poly(p-phenylene-alt-anthrylene)s containing 9,10-anthrylene building groups within the main chain are also explored. In a separate work, a series of soluble poly-2,7- and 3,6-phenanthrylenes are synthesized. This can enable us to do a systematic investigation into the optical and electronic properties of PPP-like versus PPV-like. Besides, the self-organization of 3,6-linked macrocyclic triphenanthrylene has been investigated by 2D wide-angle X-ray scattering experiments performed on extruded filaments in solution and in the bulk. Additionally, from the concept that donor-acceptor materials can induce efficient electron transfer, the covalent incorporation of perylene tetracarboxydiimide (PDI) into one block of a poly(2,7-carbazole) (PCz)-based diblock copolymer and 2,5-pyrrole based on push-pull type material are achieved respectively.

Untersuchungen zur Position der MALDI-TOF Massenspektrometrie in der Analytik von synthetischen Polymeren

Im ersten Teil dieser Arbeit wird die Anwendung der MALDI-TOF Massenspektrometrie auf annähernd monodisperse und eng verteilte Verbindungen polymerer Gestalt beschrieben. Dazu werden mit Polyphenylendendrimeren, Polybutadien-Sternpolymeren, Propionylethyleniminen und Polyethylmethylsiloxanen weniger gängige Verbindungen ausgewählt, für deren Analyse keine Standardmethodik vorliegt. Dabei wird gezeigt, dass andere Analysemethoden (wie z.B. GPC oder NMR) der MALDI-TOF Massenspektrometrie oftmals deutlich unterlegen sind - in einigen Fällen werden deren Ergebnisse gar widerlegt. In anderen Fällen wird allerdings auch festgestellt, dass diese Methoden die Massenspektrometrie unterstützen oder ergänzen können. Im darauf folgenden Teil werden durch Mischen eng verteilter Polymerstandards breite Verteilung simuliert, um so die Gründe für die Limitierung der Anwendbarkeit der MALDI-TOF Massenspektrometrie auf breite Verteilungen zu ermitteln. Die Problematik der Messung von breiten Verteilungen wird oftmals durch eine vorherige Fraktionierung mit der GPC gelöst. Auch dieses Verfahren wird in dieser Arbeit an Hand von simulierten breiten Verteilungen untersucht und bewertet. Neben qualitativen Untersuchungen mit der MALDI-TOF Massenspektrometrie wird in dieser Arbeit abgeschätzt, inwieweit diese Methode auch zur quantitativen Analyse eingesetzt werden kann. Dazu werden die Untersuchungen von Oligo(para-phenylene) (OPP) und von Cyclodehydrierungsprodukten sehr großer Dendrimere (C385, C474) beschrieben. Dabei stellt sich heraus, das neben der direkten UV-Absorption (im Falle der OPPs) auch die zunehmende Ionisierungswahrscheinlichkeit und die sinkende Desorptionswahrscheinlichkeit mit fortschreitender Cyclodehydrierung eine Quantifizierung problematisch gestalten. In einem abschließenden Kapitel wird der Versuch beschrieben, aus polyzyklischen aromatischen Kohlenwasserstoffen (PAHs) durch den Beschuss mit den UV-Strahlen des MALDI-TOF Massenspektrometers Fullerene zu erzeugen. Der Einsatz von NaCl als sogenannte Inertmatrix führt zu vielversprechenden ersten Ergebnissen.

Amphiphile Kammpolymere von Poly(2,7-carbazol)

Die vorliegende Dissertation beschreibt die Verschmelzung der Konzepte von konjugierten Polyelektrolyten und amphiphilen Kammpolymeren in Form von konjugierten, Poly(2,7-carbazol)-basierenden Polyelektrolytkammpolymeren mit Poly(L-lysin)seitenketten sowie Alkyl- oder Polyethylenglykolsubstituenten. Die Synthese wurde durch die Suzuki-Polykondensation von monodispersen Makromonomeren erreicht. Hierbei fand die Precursor-Synthesestrategie Anwendung. In diesem Ansatz war die ε-Aminofunktion des Lysins mit einer Benzoyloxycarbonylschutzgruppe geschützt. Der Aufbau der benötigten monodispersen Makromonomere erfolgte durch die Kupplung von Poly(L-lysin)ketten an den Carbazolbaustein mittels eines aktivierten Esters. Eine Besonderheit der hergestellten Kammpolymere lag in den konformativen Eigenschaften seiner einzelnen Komponenten. Dabei konnte die Konformation der Poly(L-lysin)seitenketten infolge ihres Polyelektrolyt- und Peptidcharakters gezielt mit Hilfe des pH-Wertes und der Ionenstärke variiert werden, wohingegen das konjugierte Rückgrat seine steife Konformation beibehielt. Infolge des Polyelektrolytcharakters zeigte sich zudem, dass die Polymere in sauren und neutralen, wässrigen Lösungen zu großen Teilen in Form von Domänenstrukturen auftraten, während im Basischen eine sofortige Aggregation eintrat. Ein weiteres Merkmal der vorgestellten Polyelektrolytkammpolymere war ihr amphiphiler Charakter. Diese Amphiphilie der in dieser Arbeit vorgestellten Polyelektrolytkammpolymere beeinflusste dabei maßgeblich ihre unstrukturierte Anordnung in Lösung, in der festen Phase sowie an Oberflächen.

Pi-konjugierte Plasmapolymere als organische Halbleiter durch vorstrukturierte single-source-Precursoren

Die vorliegende Arbeit behandelt die Entwicklung einer neuartigen Synthesestrategie von π-konjugierten Plasmapolymeren durch die Anwendung von vorstrukturierten aromatischen Precursoren und gepulsten Niederdruckplasmen. Es gelang erstmals die strukturtreue Synthese von π-konjugierten organischen Plasmapolymeren mit dem vollkommenen Erhalt der aromatischen Funktionalität und der selektiven para-Verknüpfung aromatischer Einheiten durch geeignete Heteroatome. Hierbei kamen 1,4-Dithiophenol zur Synthese von Plasmapoly(p-phenylensulfid) und 4-Iodanilin zur Synthese von Plasmapolyanilin zur Anwendung. Die mit hoher Präzision abgeschiedenen Filme konnten sowohl postsynthetisch als auch in situ p-dotiert werden. Die chemischen Strukturen sowie deren physikalisch-chemischen Eigenschaften konnten vor allem mittels Röntgenphotoelektronen-, UV-VIS-NIR-, IR-, NMR-, ESR- und Impedanz-Spektroskopie aufgeklärt werden. Die synthetisierten dotierten Plasmapolymere zeigten eindeutig ohmsche Leistungsmechanismen, teilweise mit einer Leitfähigkeitserhöhung von bis zu 8 Dekaden gegenüber dem undotierten konventionellen Polymer.

From anionic polymerization in continuous flow to macromolecular architectures and stimuli-responsive surfaces

The thesis can be divided in four parts and summarized as follows:(i) The investigation and development of a continuous flow synthesis procedure affording end-functional polymers by anionic polymerization and subsequent termination in one reaction step and on a multigram scale was carried out. Furthermore, the implementation of not only a single hydroxyl but multiple orthogonal functionalities at the chain terminus was achieved by utilizing individually designed, functional epoxide-based end-capping reagents.(ii) In an additional step, the respective polymers were used as macroinitiators to prepare in-chain functionalized block copolymers and star polymers bearing intriguing novel structural and material properties. Thus, the second part of this thesis presents the utilization of end-functional polymers as precursors for the synthesis of amphiphilic complex and in some cases unprecedented macromolecular architectures, such as miktoarm star polymers based on poly(vinyl pyridine), poly(vinyl ferrocene) and PEO.(iii) Based on these structures, the third part of this thesis represents a detailed investigation of the preparation of stimuli-responsive ultrathin polymer films, using amphiphilic junction point-reactive block copolymers. The single functionality at the block interface can be employed as anchor group for the covalent attachment on surfaces. Furthermore, the change of surface properties was studied by applying different external stimuli.(iv) An additional topic related to the oxyanionic polymerizations carried out in the context of this thesis was the investigation of viscoelastic properties of different hyperbranched polyethers, inspired by the recent and intense research activities in the field of biomedical applications of multi-functional hyperbranched materials.

Classification of suppressor additives based on synergistic and antagonistic ensemble effects

Three fundamental types of suppressor additives for copper electroplating could be identified by means of potential Transient measurements. These suppressor additives differ in their synergistic and antagonistic interplay with anions that are chemisorbed on the metallic copper surface during electrodeposition. In addition these suppressor chemistries reveal different barrier properties with respect to cupric ions and plating additives (Cl, SPS). While the type-I suppressor selectively forms efficient barriers for copper inter-diffusion on chloride-terminated electrode surfaces we identified a type-II suppressor that interacts non-selectively with any kind of anions chemisorbed on copper (chloride, sulfate, sulfonate). Type-I suppressors are vital for the superconformal copper growth mode in Damascene processing and show an antagonistic interaction with SPS (Bis-Sodium-Sulfopropyl-Disulfide) which involves the deactivation of this suppressor chemistry. This suppressor deactivation is rationalized in terms of compositional changes in the layer of the chemisorbed anions due to the competition of chloride and MPS (Mercaptopropane Sulfonic Acid) for adsorption sites on the metallic copper surface. MPS is the product of the dissociative SPS adsorption within the preexisting chloride matrix on the copper surface. The non-selectivity in the adsorption behavior of the type-II suppressor is rationalized in terms of anion/cation pairing effects of the poly-cationic suppressor and the anion-modified copper substrate. Atomic-scale insights into the competitive Cl/MPS adsorption are gained from in situ STM (Scanning Tunneling Microscopy) using single crystalline copper surfaces as model substrates. Type-III suppressors are a third class of suppressors. In case of type-land type-II suppressor chemistries the resulting steady-state deposition conditions are completely independent on the particular succession of additive adsorption. In contrast to that a strong dependence of the suppressing capabilities on the sequence of additive adsorption ("first comes, first serves" principle) is observed for the type-IIIsuppressor. This behavior:is explained by a suppressor barrier that impedes not only the copper inter-diffusion but also the transport of other additives (e.g. SPS) to the copper surface. (C) 2011 Elsevier Ltd. All rights reserved.

Effects of doxorubicin cancer therapy on autophagy and the ubiquitin-proteasome system in long-term cultured adult rat cardiomyocytes

The clinical use of anthracyclines in cancer therapy is limited by dose-dependent cardiotoxicity that involves cardiomyocyte injury and death. We have tested the hypothesis that anthracyclines affect protein degradation pathways in adult cardiomyocytes. To this aim, we assessed the effects of doxorubicin (Doxo) on apoptosis, autophagy and the proteasome/ubiquitin system in long-term cultured adult rat cardiomyocytes. Accumulation of poly-ubiquitinated proteins, increase of cathepsin-D-positive lysosomes and myofibrillar degradation were observed in Doxo-treated cardiomyocytes. Chymotrypsin-like activity of the proteasome was initially increased and then inhibited by Doxo over a time-course of 48 h. Proteasome 20S proteins were down-regulated by higher doses of Doxo. The expression of MURF-1, an ubiquitin-ligase specifically targeting myofibrillar proteins, was suppressed by Doxo at all concentrations measured. Microtubule-associated protein 1 light chain 3B (LC3)-positive punctae and both LC3-I and -II proteins were induced by Doxo in a dose-dependent manner, as confirmed by using lentiviral expression of green fluorescence protein bound to LC3 and live imaging. The lysosomotropic drug chloroquine led to autophagosome accumulation, which increased with concomitant Doxo treatment indicating enhanced autophagic flux. We conclude that Doxo causes a downregulation of the protein degradation machinery of cardiomyocytes with a resulting accumulation of poly-ubiquitinated proteins and autophagosomes. Although autophagy is initially stimulated as a compensatory response to cytotoxic stress, it is followed by apoptosis and necrosis at higher doses and longer exposure times. This mechanism might contribute to the late cardiotoxicity of anthracyclines by accelerated aging of the postmitotic adult cardiomyocytes and to the susceptibility of the aging heart to anthracycline cancer therapy.

Characterization of three human sec14p-like proteins: alpha-tocopherol transport activity and expression pattern in tissues

Three closely related human sec14p-like proteins (hTAP1, 2, and 3, or SEC14L2, 3, and 4, respectively) have been described. These proteins may participate in intracellular lipid transport (phospholipids, squalene, tocopherol analogues and derivatives) or influence regulatory lipid-dependent events. Here, we show that the three recombinant hTAP proteins associate with the Golgi apparatus and mitochondria, and enhance the in vitro transport of radioactively labeled alpha-tocopherol to mitochondria in the same order of magnitude as the human alpha-tocopherol transfer protein (alpha-TTP). hTAP1 and hTAP2 are expressed in several cell lines, whereas the expression level of hTAP3 is low. Expression of hTAP1 is induced in human umbilical cord blood-derived mast cells upon differentiation by interleukin 4. In tissues, the three hTAPs are detectable ubiquitously at low level; pronounced and localized expression is found for hTAP2 and hTAP3 in the perinuclear region in cerebellum, lung, liver and adrenal gland. hTAP3 is well expressed in the epithelial duct cells of several glands, in ovary in endothelial cells of small arteries as well as in granulosa and thecal cells, and in testis in Leydig cells. Thus, the three hTAPs may mediate lipid uptake, secretion, presentation, and sub-cellular localization in a tissue-specific manner, possibly using organelle- and enzyme-specific docking sites.

TERPENE AND TERPENOID EMISSIONS AND SECONDARY ORGANIC AEROSOL PRODUCTION

Approximately 90% of fine aerosol in the Midwestern United States has a regional component with a sizable fraction attributed to secondary production of organic aerosol (SOA). The Ozark Forest is an important source of biogenic SOA precursors like isoprene (> 150 mg m-2 d-1), monoterpenes (10-40 mg m-2 d-1), and sesquiterpenes (10-40 mg m-2d-1). Anthropogenic sources include secondary sulfate and nitrate and biomass burning (51-60%), vehicle emissions (17-26%), and industrial emissions (16-18%). Vehicle emissions are an important source of volatile and vapor-phase, semivolatile aliphatic and aromatic hydrocarbons that are important anthropogenic sources of SOA precursors. The short lifetime of SOA precursors and the complex mixture of functionalized oxidation products make rapid sampling, quantitative processing methods, and comprehensive organic molecular analysis essential elements of a comprehensive strategy to advance understanding of SOA formation pathways. Uncertainties in forecasting SOA production on regional scales are large and related to uncertainties in biogenic emission inventories and measurement of SOA yields under ambient conditions. This work presents a bottom-up approach to develop a conifer emission inventory based on foliar and cortical oleoresin composition, development of a model to estimate terpene and terpenoid signatures of foliar and bole emissions from conifers, development of processing and analytic techniques for comprehensive organic molecular characterization of SOA precursors and oxidation products, implementation of the high-volume sampling technique to measure OA and vapor-phase organic matter, and results from a 5 day field experiment conducted to evaluate temporal and diurnal trends in SOA precursors and oxidation products. A total of 98, 115, and 87 terpene and terpenoid species were identified and quantified in commercially available essential oils of Pinus sylvestris, Picea mariana, and Thuja occidentalis, respectively, by comprehensive, two-dimensional gas chromatography with time-of-flight mass spectrometric detection (GC × GC-ToF-MS). Analysis of the literature showed that cortical oleoresin composition was similar to foliar composition of the oldest branches. Our proposed conceptual model for estimation of signatures of terpene and terpenoid emissions from foliar and cortical oleoresin showed that emission potentials of the foliar and bole release pathways are dissimilar and should be considered for conifer species that develop resin blisters or are infested with herbivores or pathogens. Average derivatization efficiencies for Methods 1 and 2 were 87.9 and 114%, respectively. Despite the lower average derivatization efficiency of Method 1, distinct advantages included a greater certainty of derivatization yield for the entire suite of multi- and poly-functional species and fewer processing steps for sequential derivatization. Detection limits for Method 1 using GC × GC- ToF-MS were 0.09-1.89 ng μL-1. A theoretical retention index diagram was developed for a hypothetical GC × 2GC analysis of the complex mixture of SOA precursors and derivatized oxidation products. In general, species eluted (relative to the alkyl diester reference compounds) from the primary column (DB-210) in bands according to n and from the secondary columns (BPX90, SolGel-WAX) according to functionality, essentially making the GC × 2GC retention diagram a Carbon number-functionality grid. The species clustered into 35 groups by functionality and species within each group exhibited good separation by n. Average recoveries of n-alkanes and polyaromatic hydrocarbons (PAHs) by Soxhlet extraction of XAD-2 resin with dichloromethane were 80.1 ± 16.1 and 76.1 ± 17.5%, respectively. Vehicle emissions were the common source for HSVOCs [i.e., resolved alkanes, the unresolved complex mixture (UCM), alkylbenzenes, and 2- and 3-ring PAHs]. An absence of monoterpenes at 0600-1000 and high concentrations of monoterpenoids during the same period was indicative of substantial losses of monoterpenes overnight and the early morning hours. Post-collection, comprehensive organic molecular characterization of SOA precursors and products by GC × GC-ToFMS in ambient air collected with ~2 hr resolution is a promising method for determining biogenic and anthropogenic SOA yields that can be used to evaluate SOA formation models.

Poly(A)-binding protein-interacting protein 1 binds to eukaryotic translation initiation factor 3 to stimulate translation.

Poly(A)-binding protein (PABP) stimulates translation initiation by binding simultaneously to the mRNA poly(A) tail and eukaryotic translation initiation factor 4G (eIF4G). PABP activity is regulated by PABP-interacting (Paip) proteins. Paip1 binds PABP and stimulates translation by an unknown mechanism. Here, we describe the interaction between Paip1 and eIF3, which is direct, RNA independent, and mediated via the eIF3g (p44) subunit. Stimulation of translation by Paip1 in vivo was decreased upon deletion of the N-terminal sequence containing the eIF3-binding domain and upon silencing of PABP or several eIF3 subunits. We also show the formation of ternary complexes composed of Paip1-PABP-eIF4G and Paip1-eIF3-eIF4G. Taken together, these data demonstrate that the eIF3-Paip1 interaction promotes translation. We propose that eIF3-Paip1 stabilizes the interaction between PABP and eIF4G, which brings about the circularization of the mRNA.

Fluorescence-encoded gold nanoparticles: library design and modulation of cellular uptake into dendritic cells.

In order to harness the unique properties of nanoparticles for novel clinical applications and to modulate their uptake into specific immune cells we designed a new library of homo- and hetero-functional fluorescence-encoded gold nanoparticles (Au-NPs) using different poly(vinyl alcohol) and poly(ethylene glycol)-based polymers for particle coating and stabilization. The encoded particles were fully characterized by UV-Vis and fluorescence spectroscopy, zeta potential and dynamic light scattering. The uptake by human monocyte derived dendritic cells in vitro was studied by confocal laser scanning microscopy and quantified by fluorescence-activated cell sorting and inductively coupled plasma atomic emission spectroscopy. We show how the chemical modification of particle surfaces, for instance by attaching fluorescent dyes, can conceal fundamental particle properties and modulate cellular uptake. In order to mask the influence of fluorescent dyes on cellular uptake while still exploiting its fluorescence for detection, we have created hetero-functionalized Au-NPs, which again show typical particle dependent cellular interactions. Our study clearly prove that the thorough characterization of nanoparticles at each modification step in the engineering process is absolutely essential and that it can be necessary to make substantial adjustments of the particles in order to obtain reliable cellular uptake data, which truly reflects particle properties.

Explicit and Implicit Methods In Solving Differential Equations

Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.

Monte Carlo and analytical dose calculations for ocular proton therapy

Uveal melanoma is a rare but life-threatening form of ocular cancer. Contemporary treatment techniques include proton therapy, which enables conservation of the eye and its useful vision. Dose to the proximal structures is widely believed to play a role in treatment side effects, therefore, reliable dose estimates are required for properly evaluating the therapeutic value and complication risk of treatment plans. Unfortunately, current simplistic dose calculation algorithms can result in errors of up to 30% in the proximal region. In addition, they lack predictive methods for absolute dose per monitor unit (D/MU) values. ^ To facilitate more accurate dose predictions, a Monte Carlo model of an ocular proton nozzle was created and benchmarked against measured dose profiles to within ±3% or ±0.5 mm and D/MU values to within ±3%. The benchmarked Monte Carlo model was used to develop and validate a new broad beam dose algorithm that included the influence of edgescattered protons on the cross-field intensity profile, the effect of energy straggling in the distal portion of poly-energetic beams, and the proton fluence loss as a function of residual range. Generally, the analytical algorithm predicted relative dose distributions that were within ±3% or ±0.5 mm and absolute D/MU values that were within ±3% of Monte Carlo calculations. Slightly larger dose differences were observed at depths less than 7 mm, an effect attributed to the dose contributions of edge-scattered protons. Additional comparisons of Monte Carlo and broad beam dose predictions were made in a detailed eye model developed in this work, with generally similar findings. ^ Monte Carlo was shown to be an excellent predictor of the measured dose profiles and D/MU values and a valuable tool for developing and validating a broad beam dose algorithm for ocular proton therapy. The more detailed physics modeling by the Monte Carlo and broad beam dose algorithms represent an improvement in the accuracy of relative dose predictions over current techniques, and they provide absolute dose predictions. It is anticipated these improvements can be used to develop treatment strategies that reduce the incidence or severity of treatment complications by sparing normal tissue. ^