Tecniche avanzate per l'analisi di sensitività globale: applicazione alla contaminazione delle acque sotterranee.

The thesis is framed within the field of the stochastic approach to flow and transport themes of solutes in natural porous materials. The methodology used to characterise the uncertainty associated with the modular predictions is completely general and can be reproduced in various contexts. The theme of the research includes the following among its main objectives: (a) the development of a Global Sensitivity Analysis on contaminant transport models in the subsoil to research the effects of the uncertainty of the most important parameters; (b) the application of advanced techniques, such as Polynomial Chaos Expansion (PCE), for obtaining surrogate models starting from those which conduct traditionally developed analyses in the context of Monte Carlo simulations, characterised by an often not negligible computational burden; (c) the analyses and the understanding of the key processes at the basis of the transport of solutes in natural porous materials using the aforementioned technical and analysis resources. In the complete picture, the thesis looks at the application of a Continuous Injection transport model of contaminants, of the PCE technique which has already been developed and applied by the thesis supervisors, by way of numerical code, to a Slug Injection model. The methodology was applied to the aforementioned model with original contribution deriving from surrogate models with various degrees of approximation and developing a Global Sensitivity Analysis aimed at the determination of Sobol’ indices.

Towards a Reconstruction of Thermal Properties of Light Nuclei from Fusion - Evaporation reactions

This thesis work has been developed in the framework of a new experimental campaign, proposed by the NUCL-EX Collaboration (INFN III Group), in order to progress in the understanding of the statistical properties of light nuclei, at excitation energies above particle emission threshold, by measuring exclusive data from fusion-evaporation reactions. The determination of the nuclear level density in the A~20 region, the understanding of the statistical behavior of light nuclei with excitation energies ~3 A.MeV, and the measurement of observables linked to the presence of cluster structures of nuclear excited levels are the main physics goals of this work. On the theory side, the contribution to this project given by this work lies in the development of a dedicated Monte-Carlo Hauser-Feshbach code for the evaporation of the compound nucleus. The experimental part of this thesis has consisted in the participation to the measurement 12C+12C at 95 MeV beam energy, at Laboratori Nazionali di Legnaro - INFN, using the GARFIELD+Ring Counter(RCo) set-up, from the beam-time request to the data taking, data reduction, detector calibrations and data analysis. Different results of the data analysis are presented in this thesis, together with a theoretical study of the system, performed with the new statistical decay code. As a result of this work, constraints on the nuclear level density at high excitation energy for light systems ranging from C up to Mg are given. Moreover, pre-equilibrium effects, tentatively interpreted as alpha-clustering effects, are put in evidence, both in the entrance channel of the reaction and in the dissipative dynamics on the path towards thermalisation.

Untersuchung der lateralen Organisation und Phasenumwandlung von festkörperunterstützten Lipidmembranen

Im ersten Teil der Arbeit wurde das Bindungsverhalten von Annexin A1 und Annexin A2t an festkörperunterstützte Lipidmembranen aus POPC und POPS untersucht. Für beide Proteine konnte mit Hilfe der Fluoreszenzmikroskopie gezeigt werden, dass irreversible Bindung nur in Anwesenheit von POPS auftritt. Durch rasterkraftmikroskopische Aufnahmen konnte die laterale Organisation der Annexine auf der Lipidmembran dargestellt werden. Beide Proteine lagern sich in Form lateraler Aggregate (zweidimensionale Domänen) auf der Oberfläche an, außerdem ist der Belegungsgrad und die Größe der Domänen von der Membranzusammensetzung und der Calciumkonzentration abhängig. Mit zunehmendem POPS-Gehalt und Calciumkonzentration steigt der Belegungsgrad an und der mittlere Domänenradius wird kleiner. Diese Ergebnisse konnten in Verbindung mit detaillierten Bindungsstudien des Annexins A1 mit der Quarzmikrowaage verwendet werden, um ein Bindungsmodell auf Basis einer heterogenen Oberfläche zu entwickeln. Auf einer POPC-reichen Matrix findet reversible Adsorption statt und auf POPS-reichen Domänen irreversible Adsorption. Durch die Anpassung von dynamischen Monte Carlo-Simulationen basierend auf einer zweidimensionalen zufälligen sequentiellen Adsorption konnten Erkenntnisse über die Membranstruktur und die kinetischen Ratenkonstanten in Abhängigkeit von der Calciumkonzentration und der Inkubationszeit des Proteins gewonnen werden. Die irreversible Bindung ist in allen Calciumkonzentrationsbereichen schneller als die reversible. Außerdem zeigt die irreversible Adsorption eine deutlich stärkere Abhängigkeit von der Calciumkonzentration. Ein kleinerer Belegungsgrad bei niedrigen Ca2+-Gehalten ist hauptsächlich durch die Abnahme der verfügbaren Bindungsplätze auf der Oberfläche zu erklären. Die gute Übereinstimmung der aus den Monte Carlo-Simulationen erhaltenen Domänenstrukturen mit den rasterkraftmikroskopischen Aufnahmen und die Tatsache, dass sich die simulierten Resonanzfrequenzverläufe problemlos an die experimentellen Kurven aus den QCM-Messungen anpassen ließen, zeigt die gute Anwendbarkeit des entwickelten Simulationsprogramms auf die Adsorption von Annexin A1. Die Extraktion der kinetischen Parameter aus dem zweidimensionalen RSA-Modell ist mit Sicherheit einem einfachen Langmuir-Ansatz überlegen. Bei einem Langmuir-Modell erfolgt eine integrale Erfassung einer einzelnen makroskopischen Geschwindigkeitskonstante, während durch das RSA-Modell eine differenzierte Betrachtung des reversiblen und irreversiblen Bindungsprozesses möglich ist. Zusätzlich lassen sich mikroskopische Informationen über die Oberflächenbeschaffenheit gewinnen. Im zweiten Teil der Arbeit wurde das thermotrope Phasenverhalten von festkörperunterstützten Phospholipidbilayern untersucht. Dazu wurden mikrostrukturierte, frei stehende Membranstreifen präpariert und mit Hilfe der bildgebenden Ellipsometrie untersucht. Dadurch konnten die temperaturabhängigen Verläufe der Schichtdicke und der lateralen Membranausdehnung parallel beobachtet werden. Die ermittelten Phasenübergangstemperaturen von DMPC, diC15PC und DPPC lagen 2 - 3 °C oberhalb der Literaturwerte für vesikuläre Systeme. Außerdem wurde eine deutliche Verringerung der Kooperativität der Phasenumwandlung gefunden, was auf einen großen Einfluss des Substrats bei den festkörperunterstützten Lipidmembranen schließen lässt. Zusätzlich wurde ein nicht systematischer Zusammenhang der Ergebnisse von der Oberflächenpräparation gefunden, der es unabdingbar macht, bei Untersuchungen von festkörperunterstützten Substraten einen internen Standard einzuführen. Bei der Analyse des thermotropen Phasenübergangsverhaltens von DMPC/Cholesterol - Gemischen wurde daher die individuelle Adressierbarkeit der strukturierten Lipidmembranen ausgenutzt und ein Lipidstreifen aus reinem DMPC als Standard verwendet. Auf diese Weise konnte gezeigt werden, dass das für Phospholipide typische Phasenübergangsverhalten ab 30 mol% Cholesterol in der Membran nicht mehr vorhanden ist. Dies ist auf die Bildung einer nur durch höhere Sterole induzierten fluiden Phase mit hoch geordneten Acylketten zurückzuführen. Abschließend konnte durch die Zugabe von Ethanol zu einer mikrostrukturierten DMPC-Membran die Bildung eines interdigitierten Bilayers nachgewiesen werden. Die bildgebende Ellipsometrie ist eine sehr gute Methode zur Untersuchung festkörperunterstützter Lipidmembranen, da sie über ein sehr gutes vertikales und ein ausreichendes laterales Auflösungsvermögen besitzt. Sie ist darin zwar einem Rasterkraftmikroskop noch unterlegen, besitzt dafür aber eine einfachere Handhabung beim Umgang mit Flüssigkeiten und in der Temperierung, eine schnellere Bildgebung und ist als optische Methode nicht-invasiv.

An optimal estimator for the correlation of CMB anisotropies with Large Scale Structures and its application to WMAP-7year and NVSS

In the thesis we present the implementation of the quadratic maximum likelihood (QML) method, ideal to estimate the angular power spectrum of the cross-correlation between cosmic microwave background (CMB) and large scale structure (LSS) maps as well as their individual auto-spectra. Such a tool is an optimal method (unbiased and with minimum variance) in pixel space and goes beyond all the previous harmonic analysis present in the literature. We describe the implementation of the QML method in the {\it BolISW} code and demonstrate its accuracy on simulated maps throughout a Monte Carlo. We apply this optimal estimator to WMAP 7-year and NRAO VLA Sky Survey (NVSS) data and explore the robustness of the angular power spectrum estimates obtained by the QML method. Taking into account the shot noise and one of the systematics (declination correction) in NVSS, we can safely use most of the information contained in this survey. On the contrary we neglect the noise in temperature since WMAP is already cosmic variance dominated on the large scales. Because of a discrepancy in the galaxy auto spectrum between the estimates and the theoretical model, we use two different galaxy distributions: the first one with a constant bias $b$ and the second one with a redshift dependent bias $b(z)$. Finally, we make use of the angular power spectrum estimates obtained by the QML method to derive constraints on the dark energy critical density in a flat $\Lambda$CDM model by different likelihood prescriptions. When using just the cross-correlation between WMAP7 and NVSS maps with 1.8° resolution, we show that $\Omega_\Lambda$ is about the 70\% of the total energy density, disfavouring an Einstein-de Sitter Universe at more than 2 $\sigma$ CL (confidence level).

Thermal fluctuations and boundary conditions in the lattice Boltzmann method

The lattice Boltzmann method is a popular approach for simulating hydrodynamic interactions in soft matter and complex fluids. The solvent is represented on a discrete lattice whose nodes are populated by particle distributions that propagate on the discrete links between the nodes and undergo local collisions. On large length and time scales, the microdynamics leads to a hydrodynamic flow field that satisfies the Navier-Stokes equation. In this thesis, several extensions to the lattice Boltzmann method are developed. In complex fluids, for example suspensions, Brownian motion of the solutes is of paramount importance. However, it can not be simulated with the original lattice Boltzmann method because the dynamics is completely deterministic. It is possible, though, to introduce thermal fluctuations in order to reproduce the equations of fluctuating hydrodynamics. In this work, a generalized lattice gas model is used to systematically derive the fluctuating lattice Boltzmann equation from statistical mechanics principles. The stochastic part of the dynamics is interpreted as a Monte Carlo process, which is then required to satisfy the condition of detailed balance. This leads to an expression for the thermal fluctuations which implies that it is essential to thermalize all degrees of freedom of the system, including the kinetic modes. The new formalism guarantees that the fluctuating lattice Boltzmann equation is simultaneously consistent with both fluctuating hydrodynamics and statistical mechanics. This establishes a foundation for future extensions, such as the treatment of multi-phase and thermal flows. An important range of applications for the lattice Boltzmann method is formed by microfluidics. Fostered by the "lab-on-a-chip" paradigm, there is an increasing need for computer simulations which are able to complement the achievements of theory and experiment. Microfluidic systems are characterized by a large surface-to-volume ratio and, therefore, boundary conditions are of special relevance. On the microscale, the standard no-slip boundary condition used in hydrodynamics has to be replaced by a slip boundary condition. In this work, a boundary condition for lattice Boltzmann is constructed that allows the slip length to be tuned by a single model parameter. Furthermore, a conceptually new approach for constructing boundary conditions is explored, where the reduced symmetry at the boundary is explicitly incorporated into the lattice model. The lattice Boltzmann method is systematically extended to the reduced symmetry model. In the case of a Poiseuille flow in a plane channel, it is shown that a special choice of the collision operator is required to reproduce the correct flow profile. This systematic approach sheds light on the consequences of the reduced symmetry at the boundary and leads to a deeper understanding of boundary conditions in the lattice Boltzmann method. This can help to develop improved boundary conditions that lead to more accurate simulation results.

Advanced aspects of radiation protection in the use of particle accelerators in the medical field

In this work, the well-known MC code FLUKA was used to simulate the GE PETrace cyclotron (16.5 MeV) installed at “S. Orsola-Malpighi” University Hospital (Bologna, IT) and routinely used in the production of positron emitting radionuclides. Simulations yielded estimates of various quantities of interest, including: the effective dose distribution around the equipment; the effective number of neutron produced per incident proton and their spectral distribution; the activation of the structure of the cyclotron and the vault walls; the activation of the ambient air, in particular the production of 41Ar, the assessment of the saturation yield of radionuclides used in nuclear medicine. The simulations were validated against experimental measurements in terms of physical and transport parameters to be used at the energy range of interest in the medical field. The validated model was also extensively used in several practical applications uncluding the direct cyclotron production of non-standard radionuclides such as 99mTc, the production of medical radionuclides at TRIUMF (Vancouver, CA) TR13 cyclotron (13 MeV), the complete design of the new PET facility of “Sacro Cuore – Don Calabria” Hospital (Negrar, IT), including the ACSI TR19 (19 MeV) cyclotron, the dose field around the energy selection system (degrader) of a proton therapy cyclotron, the design of plug-doors for a new cyclotron facility, in which a 70 MeV cyclotron will be installed, and the partial decommissioning of a PET facility, including the replacement of a Scanditronix MC17 cyclotron with a new TR19 cyclotron.

Kinetische Studien zur OH-Bildung über die Reaktionen von HO 2 mit organischen Peroxyradikalen

Es wurde untersucht, wie sich das Substitutionsmuster organischer Peroxyradikale (RO2) auf die Ratenkonstante k1 und die Verzweigungsverhältnisse α, β und γ der Reaktionen von RO2 mit HO2 auswirkt. Die Effekte der Deuterierung von HO2 wurden ebenfalls studiert. Für zwei RO2 wurde zusätzlich das UV-Absorptionsspektrum bestimmt.rnrn αrnRO2 + HO2 → RO + OH + O2 R1arnrn βrn → RO2H + O2 R1brnrn γrn → ROH + O3 R1crnrnIn dieser Arbeit wurde ein neues Experiment aufgebaut. Für die direkte und zeitaufgelöste Messung der OH-Konzentration wurde das Verfahren der Laser-induzierten Fluoreszenz angewendet. Die Radikalerzeugung erfolgte mittels gepulster Laserphotolyse, wodurch unerwünschte Nebenreaktionen weitgehend unterdrückt werden konnten. Mittels transienter Absorptionsspektroskopie konnten die Menge der photolytisch erzeugten Radikale bestimmt und die Ozonbildung über R1c quantifiziert werden. Für die Auswertung wurden kinetische Modelle numerisch an die Messdaten angepasst. Um die experimentellen Unsicherheiten abzuschätzen, wurde ein Monte-Carlo-Ansatz gewählt.rnrnk1 und α reagieren sehr empfindlich auf Veränderungen des RO2-Substitutionsmusters. Während sich eine OH-Bildung für das unsubstituierte C2H5O2 (EtP) mit α EtP ≤ 5 % nicht nachweisen lässt, stellt R1a bei den α-Oxo-substituierten H3CC(O)O2 (AcP) und HOCH2C(O)O2 (HAP) mit α AcP = (63 ± 11) % bzw. α HAP = (69 ± 12) % den Hauptkanal dar. Wie die mit α HEP = (10 ± 4) % geringfügige OH-Bildung bei HOC2H4O2 (HEP) zeigt, nimmt die OH-Gruppe in β-Stellung weniger Einfluss auf den Wert von α als die Oxogruppe in α-Stellung. Bei der Erzeugung α-Oxo-substituierter RO2 kann ebenfalls OH entstehen (R+O2→RO2/OH). Die Druckabhängigkeit dieser OH-Quelle wurde mit einem innovativen Ansatz bestimmt. Mit γ AcP = (15+5-6) % bzw. γ HAP = (10+2-3) % lässt sich für die Reaktionen der α-Oxo-substituierten RO2 eine erhebliche Ozonbildung nachweisen. Durch die Einführung der α-Oxogruppe steigt k1 jeweils um 1,3 • 10-11 cm3s-1 an, der Effekt der β-Hydroxygruppe ist halb so groß (k1 AcP = (2,0 ± 0,4) • 10-11 cm3s-1, k1 HAP = (2,6 ± 0,4) • 10-11 cm3s-1). Das Verzweigungsverhältnis α steigt weiter, wenn das HO2 deuteriert wird (α AcP,iso = (80 ± 14) %, k1 AcP,iso = (2,1 ± 0,4) • 10-11 cm3s-1). Vergleiche mit älteren Studien zeigen, dass die OH-Bildung über R1a bislang deutlich unterschätzt worden ist. Die möglichen Ursachen für die Unterschiede zwischen den Studien werden ebenso diskutiert wie die Hintergründe der beobachteten Substituenteneffekte.

VMC++ validation for photon beams in the energy range of 20-1000 keV

In high energy teletherapy, VMC++ is known to be a very accurate and efficient Monte Carlo (MC) code. In principle, the MC method is also a powerful dose calculation tool in other areas in radiation oncology, e.g., brachytherapy or orthovoltage radiotherapy. However, VMC++ is not validated for the low-energy range of such applications. This work aims in the validation of the VMC++ MC code for photon beams in the energy range between 20 and 1000 keV.

VMC++ versus BEAMnrc: a comparison of simulated linear accelerator heads for photon beams

BEAMnrc, a code for simulating medical linear accelerators based on EGSnrc, has been bench-marked and used extensively in the scientific literature and is therefore often considered to be the gold standard for Monte Carlo simulations for radiotherapy applications. However, its long computation times make it too slow for the clinical routine and often even for research purposes without a large investment in computing resources. VMC++ is a much faster code thanks to the intensive use of variance reduction techniques and a much faster implementation of the condensed history technique for charged particle transport. A research version of this code is also capable of simulating the full head of linear accelerators operated in photon mode (excluding multileaf collimators, hard and dynamic wedges). In this work, a validation of the full head simulation at 6 and 18 MV is performed, simulating with VMC++ and BEAMnrc the addition of one head component at a time and comparing the resulting phase space files. For the comparison, photon and electron fluence, photon energy fluence, mean energy, and photon spectra are considered. The largest absolute differences are found in the energy fluences. For all the simulations of the different head components, a very good agreement (differences in energy fluences between VMC++ and BEAMnrc <1%) is obtained. Only a particular case at 6 MV shows a somewhat larger energy fluence difference of 1.4%. Dosimetrically, these phase space differences imply an agreement between both codes at the <1% level, making VMC++ head module suitable for full head simulations with considerable gain in efficiency and without loss of accuracy.

Modeling the heterogeneous ice and gas coma of Comet 103P/Hartley 2

The spectacular images of Comet 103P/Hartley 2 recorded by the Medium Resolution Instrument (MRI) and High Resolution Instrument (HRI) on board of the Extrasolar Planet Observation and Deep Impact Extended Investigation (EPOXI) spacecraft, as the Deep Impact extended mission, revealed that its bi-lobed very active nucleus outgasses volatiles heterogeneously. Indeed, CO2 is the primary driver of activity by dragging out chunks of pure ice out of the nucleus from the sub-solar lobe that appear to be the main source of water in Hartley 2's coma by sublimating slowly as they go away from the nucleus. However, water vapor is released by direct sublimation of the nucleus at the waist without any significant amount of either CO2 or icy grains. The coma structure for a comet with such areas of diverse chemistry differs from the usual models where gases are produced in a homogeneous way from the surface. We use the fully kinetic Direct Simulation Monte Carlo model of Tenishev et al. (Tenishev, V.M., Combi, M.R., Davidsson, B. [2008]. Astrophys. J. 685, 659-677; Tenishev, V.M., Combi, M.R., Rubin, M. [2011]. Astrophys. J. 732, 104-120) applied to Comet 103P/Hartley 2 including sublimating icy grains to reproduce the observations made by EPOXI and ground-based measurements. A realistic bi-lobed nucleus with a succession of active areas with different chemistry was included in the model enabling us to study in details the coma of Hartley 2. The different gas production rates from each area were found by fitting the spectra computed using a line-by-line non-LTE radiative transfer model to the HRI observations. The presence of icy grains with long lifetimes, which are pushed anti-sunward by radiation pressure, explains the observed OH asymmetry with enhancement on the night side of the coma.

The spatial distribution of water in the inner coma of Comet 9P/Tempel 1: Comparison between models and observations

The near nucleus coma of Comet 9P/Tempel 1 has been simulated with the 3D Direct Simulation Monte Carlo (DSMC) code PDSC++ (Su, C.-C. [2013]. Parallel Direct Simulation Monte Carlo (DSMC) Methods for Modeling Rarefied Gas Dynamics. PhD Thesis, National Chiao Tung University, Taiwan) and the derived column densities have been compared to observations of the water vapour distribution found by using infrared imaging spectrometer on the Deep Impact spacecraft (Feaga, L.M., A’Hearn, M.F., Sunshine, J.M., Groussin, O., Farnham, T.L. [2007]. Icarus 191(2), 134–145. http://dx.doi.org/10.1016/j.icarus.2007.04.038). Modelled total production rates are also compared to various observations made at the time of the Deep Impact encounter. Three different models were tested. For all models, the shape model constructed from the Deep Impact observations by Thomas et al. (Thomas, P.C., Veverka, J., Belton, M.J.S., Hidy, A., A’Hearn, M.F., Farnham, T.L., et al. [2007]. Icarus, 187(1), 4–15. http://dx.doi.org/10.1016/j.icarus.2006.12.013) was used. Outgassing depending only on the cosine of the solar insolation angle on each shape model facet is shown to provide an unsatisfactory model. Models constructed on the basis of active areas suggested by Kossacki and Szutowicz (Kossacki, K., Szutowicz, S. [2008]. Icarus, 195(2), 705–724. http://dx.doi.org/10.1016/j.icarus.2007.12.014) are shown to be superior. The Kossacki and Szutowicz model, however, also shows deficits which we have sought to improve upon. For the best model we investigate the properties of the outflow.

Understanding measured water rotational temperatures and column densities in the very innermost coma of Comet 73P/Schwassmann–Wachmann 3 B

Direct sublimation of a comet nucleus surface is usually considered to be the main source of gas in the coma of a comet. However, evidence from a number of comets including the recent spectacular images of Comet 103P/Hartley 2 by the EPOXI mission indicates that the nucleus alone may not be responsible for all, or possibly at times even most, of the total amount of gas seen in the coma. Indeed, the sublimation of icy grains, which have been injected into the coma, appears to constitute an important source. We use the fully-kinetic Direct Simulation Monte Carlo model of Tenishev et al. (Tenishev, V.M., Combi, M.R., Davidsson, B. [2008]. Astrophys. J., 685, 659−677; Tenishev, V.M., Combi, M.R., Rubin, M. [2011]. Astrophys. J., 732) to reproduce the measurements of column density and rotational temperature of water in Comet 73P-B/Schwassmann–Wachmann 3 obtained with a very high spatial resolution of ∼30 km using IRCS/Subaru in May 2006 (Bonev, B.P., Mumma, M.J., Kawakita, H., Kobayashi, H., Villanueva, G.L. [2008]. Icarus, 196, 241−248). For gas released solely from the cometary nucleus at a heliocentric distance of 1 AU, modeled rotational temperatures start at 110 K close to the surface and decrease to only several tens of degrees by 10–20 nucleus radii. However, the measured decay of both rotational temperature and column density with distance from the nucleus is much slower than predicted by this simple model. The addition of a substantial (distributed) source of gas from icy grains in the model slows the decay in rotational temperature and provides a more gradual drop in column density profiles. Together with a contribution of rotational heating of water molecules by electrons, the combined effects allow a much better match to the IRCS/Subaru observations. From the spatial distributions of water abundance and temperature measured in 73P/SW3-B, we have identified and quantified multiple mechanisms of release. The application of this tool to other comets may permit such studies over a range of heliocentric and geocentric distances.

Nonperturbative estimate of the heavy quark momentum diffusion coefficient

We estimate the momentum diffusion coefficient of a heavy quark within a pure SU(3) plasma at a temperature of about 1.5Tc. Large-scale Monte Carlo simulations on a series of lattices extending up to 1923×48 permit us to carry out a continuum extrapolation of the so-called color-electric imaginary-time correlator. The extrapolated correlator is analyzed with the help of theoretically motivated models for the corresponding spectral function. Evidence for a nonzero transport coefficient is found and, incorporating systematic uncertainties reflecting model assumptions, we obtain κ=(1.8–3.4)T3. This implies that the “drag coefficient,” characterizing the time scale at which heavy quarks adjust to hydrodynamic flow, is η−1D=(1.8–3.4)(Tc/T)2(M/1.5  GeV)  fm/c, where M is the heavy quark kinetic mass. The results apply to bottom and, with somewhat larger systematic uncertainties, to charm quarks.

Pencil -beam redefinition algorithm dose calculations for electron therapy treatment planning

The electron pencil-beam redefinition algorithm (PBRA) of Shiu and Hogstrom has been developed for use in radiotherapy treatment planning (RTP). Earlier studies of Boyd and Hogstrom showed that the PBRA lacked an adequate incident beam model, that PBRA might require improved electron physics, and that no data existed which allowed adequate assessment of the PBRA-calculated dose accuracy in a heterogeneous medium such as one presented by patient anatomy. The hypothesis of this research was that by addressing the above issues the PBRA-calculated dose would be accurate to within 4% or 2 mm in regions of high dose gradients. A secondary electron source was added to the PBRA to account for collimation-scattered electrons in the incident beam. Parameters of the dual-source model were determined from a minimal data set to allow ease of beam commissioning. Comparisons with measured data showed 3% or better dose accuracy in water within the field for cases where 4% accuracy was not previously achievable. A measured data set was developed that allowed an evaluation of PBRA in regions distal to localized heterogeneities. Geometries in the data set included irregular surfaces and high- and low-density internal heterogeneities. The data was estimated to have 1% precision and 2% agreement with accurate, benchmarked Monte Carlo (MC) code. PBRA electron transport was enhanced by modeling local pencil beam divergence. This required fundamental changes to the mathematics of electron transport (divPBRA). Evaluation of divPBRA with the measured data set showed marginal improvement in dose accuracy when compared to PBRA; however, 4% or 2mm accuracy was not achieved by either PBRA version for all data points. Finally, PBRA was evaluated clinically by comparing PBRA- and MC-calculated dose distributions using site-specific patient RTP data. Results show PBRA did not agree with MC to within 4% or 2mm in a small fraction (<3%) of the irradiated volume. Although the hypothesis of the research was shown to be false, the minor dose inaccuracies should have little or no impact on RTP decisions or patient outcome. Therefore, given ease of beam commissioning, documentation of accuracy, and calculational speed, the PBRA should be considered a practical tool for clinical use. ^

Proceedings of the Seventeenth Annual Biochemical Engineering Symposium

This is the seventeenth of a series of symposia devoted to talks by students about their biochemical engineering research. The first, third, fifth, ninth, twelfth, and sixteenth were at Kansas State University, the second and fourth were at the University of Nebraska-Lincoln, the sixth was in Kansas City and was hosted by Iowa State University, the seventh, tenth, thirteenth, and seventeenth were at Iowa State University, the eighth and fourteenth were at the University of Missouri–Columbia, and the eleventh and fifteenth were at Colorado State University. Next year's symposium will be at the University of Colorado. Symposium proceedings are edited by faculty of the host institution. Because final publication usually takes place elsewhere, papers here are brief, and often cover work in progress. ContentsThe Effect of Polymer Dosage Conditions on the Properties of ProteinPolyelectrolyte Precipitates, K. H. Clark and C. E. Glatz, Iowa State University An Immobilized Enzyme Reactor/Separator for the Hydrolysis of Casein by Subtilisin Carlsberg, A. J. Bream, R. A. Yoshisato, and G. R. Carmichael, University of Iowa Cell Density Measurements in Hollow Fiber Bioreactors, Thomas Blute, Colorado State University The Hydrodynamics in an Air-Lift Reactor, Peter Sohn, George Y. Preckshot, and Rakesh K. Bajpai, University of Missouri–Columbia Local Liquid Velocity Measurements in a Split Cylinder Airlift Column, G. Travis Jones, Kansas State University Fluidized Bed Solid Substrate Trichoderma reesei Fermentation, S. Adisasmito, H. N. Karim, and R. P. Tengerdy, Colorado State University The Effect of 2,4-D Concentration on the Growth of Streptanthus tortuosis Cells in Shake Flask and Air-Lift Permenter Culture, I. C. Kong, R. D. Sjolund, and R. A. Yoshisato, University of Iowa Protein Engineering of Aspergillus niger Glucoamylase, Michael R. Sierks, Iowa State University Structured Kinetic Modeling of Hybidoma Growth and Monoclonal Antibody Production in Suspension Cultures, Brian C. Batt and Dhinakar S. Kampala, University of Colorado Modelling and Control of a Zymomonas mobilis Fermentation, John F. Kramer, M. N. Karim, and J. Linden, Colorado State University Modeling of Brettanomyces clausenii Fermentation on Mixtures of Glucose and Cellobiose, Max T. Bynum and Dhinakar S. Kampala, University of Colorado, Karel Grohmann and Charles E. Yyman, Solar Energy Research Institute Master Equation Modeling and Monte Carlo Simulation of Predator-Prey Interactions, R. 0. Fox, Y. Y. Huang, and L. T. Fan, Kansas State University Kinetics and Equilibria of Condensation Reactions Between Two Different Monosaccharides Catalyzed by Aspergillus niger Glucoamylase, Sabine Pestlin, Iowa State University Biodegradation of Metalworking Fluids, S. M. Lee, Ayush Gupta, L. E. Erickson, and L. T. Fan, Kansas State University Redox Potential, Toxicity and Oscillations in Solvent Fermentations, Kim Joong, Rakesh Bajpai, and Eugene L. Iannotti, University of Missouri–Columbia Using Structured Kinetic Models for Analyzing Instability in Recombinant Bacterial Cultures, William E. Bentley and Dhinakar S. Kompala, University of Colorado