3 resultados para volatility term structure

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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Nuclear medicine imaging techniques such as PET are of increasing relevance in pharmaceutical research being valuable (pre)clinical tools to non-invasively assess drug performance in vivo. Therapeutic drugs, e.g. chemotherapeutics, often suffer from a poor balance between their efficacy and toxicity. Here, polymer based drug delivery systems can modulate the pharmacokinetics of low Mw therapeutics (prolonging blood circulation time, reducing toxic side effects, increasing target site accumulation) and therefore leading to a more efficient therapy. In this regard, poly-N-(2-hydroxypropyl)-methacrylamide (HPMA) constitutes a promising biocompatible polymer. Towards the further development of these structures, non-invasive PET imaging allows insight into structure-property relationships in vivo. This performant tool can guide design optimization towards more effective drug delivery. Hence, versatile radiolabeling strategies need to be developed and establishing 18F- as well as 131I-labeling of diverse HPMA architectures forms the basis for short- as well as long-term in vivo evaluations. By means of the prosthetic group [18F]FETos, 18F-labeling of distinct HPMA polymer architectures (homopolymers, amphiphilic copolymers as well as block copolymers) was successfully accomplished enabling their systematic evaluation in tumor bearing rats. These investigations revealed pronounced differences depending on individual polymer characteristics (molecular weight, amphiphilicity due to incorporated hydrophobic laurylmethacrylate (LMA) segments, architecture) as well as on the studied tumor model. Polymers showed higher uptake for up to 4 h p.i. into Walker 256 tumors vs. AT1 tumors (correlating to a higher cellular uptake in vitro). Highest tumor concentrations were found for amphiphilic HPMA-ran-LMA copolymers in comparison to homopolymers and block copolymers. Notably, the random LMA copolymer P4* (Mw=55 kDa, 25% LMA) exhibited most promising in vivo behavior such as highest blood retention as well as tumor uptake. Further studies concentrated on the influence of PEGylation (‘stealth effect’) in terms of improving drug delivery properties of defined polymeric micelles. Here, [18F]fluoroethylation of distinct PEGylated block copolymers (0%, 1%, 5%, 7%, 11% of incorporated PEG2kDa) enabled to systematically study the impact of PEG incorporation ratio and respective architecture on the in vivo performance. Most strikingly, higher PEG content caused prolonged blood circulation as well as a linear increase in tumor uptake (Walker 256 carcinoma). Due to the structural diversity of potential polymeric carrier systems, further versatile 18F-labeling strategies are needed. Therefore, a prosthetic 18F-labeling approach based on the Cu(I)-catalyzed click reaction was established for HPMA-based polymers, providing incorporation of fluorine-18 under mild conditions and in high yields. On this basis, a preliminary µPET study of a HPMA-based polymer – radiolabeled via the prosthetic group [18F]F-PEG3-N3 – was successfully accomplished. By revealing early pharmacokinetics, 18F-labeling enables to time-efficiently assess the potential of HPMA polymers for efficient drug delivery. Yet, investigating the long-term fate is essential, especially regarding prolonged circulation properties and passive tumor accumulation (EPR effect). Therefore, radiolabeling of diverse HPMA copolymers with the longer-lived isotope iodine-131 was accomplished enabling in vivo evaluation of copolymer P4* over several days. In this study, tumor retention of 131I-P4* could be demonstrated at least over 48h with concurrent blood clearance thereby confirming promising tumor targeting properties of amphiphilic HPMA copolymer systems based on the EPR effect.

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The thesis deals with numerical algorithms for fluid-structure interaction problems with application in blood flow modelling. It starts with a short introduction on the mathematical description of incompressible viscous flow with non-Newtonian viscosity and a moving linear viscoelastic structure. The mathematical model consists of the generalized Navier-Stokes equation used for the description of fluid flow and the generalized string model for structure movement. The arbitrary Lagrangian-Eulerian approach is used in order to take into account moving computational domain. A part of the thesis is devoted to the discussion on the non-Newtonian behaviour of shear-thinning fluids, which is in our case blood, and derivation of two non-Newtonian models frequently used in the blood flow modelling. Further we give a brief overview on recent fluid-structure interaction schemes with discussion about the difficulties arising in numerical modelling of blood flow. Our main contribution lies in numerical and experimental study of a new loosely-coupled partitioned scheme called the kinematic splitting fluid-structure interaction algorithm. We present stability analysis for a coupled problem of non-Newtonian shear-dependent fluids in moving domains with viscoelastic boundaries. Here, we assume both, the nonlinearity in convective as well is diffusive term. We analyse the convergence of proposed numerical scheme for a simplified fluid model of the Oseen type. Moreover, we present series of experiments including numerical error analysis, comparison of hemodynamic parameters for the Newtonian and non-Newtonian fluids and comparison of several physiologically relevant computational geometries in terms of wall displacement and wall shear stress. Numerical analysis and extensive experimental study for several standard geometries confirm reliability and accuracy of the proposed kinematic splitting scheme in order to approximate fluid-structure interaction problems.

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Makromolekulare Wirkstoffträgersysteme sind von starkem Interesse bezüglich der klinischen Anwendung chemotherapeutischer Agenzien. Um ihr klinisches Potential zu untersuchen ist es von besonderer Bedeutung das pharmakokinetische Profil in vivo zu bestimmen. Jede Veränderung der Polymerstruktur beeinflusst die Körperverteilung des entsprechenden Makromoleküls. Aufgrund dessen benötigt man detailliertes Wissen über Struktur-Eigenschaftsbeziehungen im lebenden Organismus, um das Nanocarrier System für zukünftige Anwendungen einzustellen. In dieser Beziehung stellt das präklinische Screening mittels radioaktiver Markierung und Positronen-Emissions-Tomographie eine nützliche Methode für schnelle sowie quantitative Beobachtung von Wirkstoffträgerkandidaten dar. Insbesondere poly(HPMA) und PEG sind im Arbeitsgebiet Polymer-basierter Therapeutika stark verbreitet und von ihnen abgeleitete Strukturen könnten neue Generationen in diesem Forschungsbereich bieten.rnDie vorliegende Arbeit beschreibt die erfolgreiche Synthese verschiedener HPMA und PEG basierter Polymer-Architekturen – Homopolymere, Statistische und Block copolymere – die mittels RAFT und Reaktivesterchemie durchgeführt wurde. Des Weiteren wurden die genannten Polymere mit Fluor-18 und Iod-131 radioaktiv markiert und mit Hilfe von microPET und ex vivo Biodistributionsstudien in tumortragenden Ratten biologisch evaluiert. Die Variation in Polymer-Architektur und darauffolgende Analyse in vivo resultierte in wichtige Schlussfolgerungen. Das hydrophile / lipophile Gleichgewicht hatte einen bedeutenden Einfluss auf das pharmakokinetische Profil, mit besten in vivo Eigenschaften (geringe Aufnahme in Leber und Milz sowie verlängerte Blutzirkulationszeit) für statistische HPMA-LMA copolymere mit steigendem hydrophoben Anteil. Außerdem zeigten Langzeitstudien mit Iod-131 eine verstärkte Retention von hochmolekularen, HPMA basierten statistischen Copolymeren im Tumorgewebe. Diese Beobachtung bestätigte den bekannten EPR-Effekt. Hinzukommend stellen Überstrukturbildung und damit Polymergröße Schlüsselfaktoren für effizientes Tumor-Targeting dar, da Polymerstrukturen über 200 nm in Durchmesser schnell vom MPS erkannt und vom Blutkreislauf eliminiert werden. Aufgrund dessen wurden die hier synthetisierten HPMA Block copolymere mit PEG Seitengruppen chemisch modifiziert, um eine Verminderung in Größe sowie eine Reduktion in Blutausscheidung zu induzieren. Dieser Ansatz führte zu einer erhöhten Tumoranreicherung im Walker 256 Karzinom Modell. Generell wird die Körperverteilung von HPMA und PEG basierten Polymeren stark durch die Polymer-Architektur sowie das Molekulargewicht beeinflusst. Außerdem hängt ihre Effizienz hinsichtlich Tumorbehandlung deutlich von den individuellen Charakteristika des einzelnen Tumors ab. Aufgrund dieser Beobachtungen betont die hier vorgestellte Dissertation die Notwendigkeit einer detaillierten Polymer-Charakterisierung, kombiniert mit präklinischem Screening, um polymere Wirkstoffträgersysteme für individualisierte Patienten-Therapie in der Zukunft maßzuschneidern.rn