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Subdividing space through interfaces leads to many space partitions that are relevant to soft matter self-assembly. Prominent examples include cellular media, e.g. soap froths, which are bubbles of air separated by interfaces of soap and water, but also more complex partitions such as bicontinuous minimal surfaces.
Using computer simulations, this thesis analyses soft matter systems in terms of the relationship between the physical forces between the system's constituents and the structure of the resulting interfaces or partitions. The focus is on two systems, copolymeric self-assembly and the so-called Quantizer problem, where the driving force of structure formation, the minimisation of the free-energy, is an interplay of surface area minimisation and stretching contributions, favouring cells of uniform thickness.
In the first part of the thesis we address copolymeric phase formation with sharp interfaces. We analyse a columnar copolymer system "forced" to assemble on a spherical surface, where the perfect solution, the hexagonal tiling, is topologically prohibited. For a system of three-armed copolymers, the resulting structure is described by solutions of the so-called Thomson problem, the search of minimal energy configurations of repelling charges on a sphere. We find three intertwined Thomson problem solutions on a single sphere, occurring at a probability depending on the radius of the substrate.
We then investigate the formation of amorphous and crystalline structures in the Quantizer system, a particulate model with an energy functional without surface tension that favours spherical cells of equal size. We find that quasi-static equilibrium cooling allows the Quantizer system to crystallise into a BCC ground state, whereas quenching and non-equilibrium cooling, i.e. cooling at slower rates then quenching, leads to an approximately hyperuniform, amorphous state. The assumed universality of the latter, i.e. independence of energy minimisation method or initial configuration, is strengthened by our results. We expand the Quantizer system by introducing interface tension, creating a model that we find to mimic polymeric micelle systems: An order-disorder phase transition is observed with a stable Frank-Caspar phase.
The second part considers bicontinuous partitions of space into two network-like domains, and introduces an open-source tool for the identification of structures in electron microscopy images. We expand a method of matching experimentally accessible projections with computed projections of potential structures, introduced by Deng and Mieczkowski (1998). The computed structures are modelled using nodal representations of constant-mean-curvature surfaces. A case study conducted on etioplast cell membranes in chloroplast precursors establishes the double Diamond surface structure to be dominant in these plant cells. We automate the matching process employing deep-learning methods, which manage to identify structures with excellent accuracy.
Ionic liquid crystals (ILCs), that is, ionic liquids exhibiting mesomorphism, liquid crystalline phases, and anisotropic properties, have received intense attention in the past years. Among others, this is due to their special properties arising from the combination of properties stemming from ionic liquids and from liquid crystalline arrangements. Besides interesting fundamental aspects, ILCs have been claimed to have tremendous application potential that again arises from the combination of properties and architectures that are not accessible otherwise, or at least not accessible easily by other strategies. The current review highlights recent developments in ILC research, starting with some key fundamental aspects. Further subjects covered include the synthesis and variations of modern ILCs, including the specific tuning of their mesomorphic behavior. The review concludes with reflections on some applications that may be within reach for ILCs and finally highlights a few key challenges that must be overcome prior and during true commercialization of ILCs.
Die herausragenden mechanischen Eigenschaften natürlicher anorganisch-organischer Kompositmaterialien wie Knochen oder Muschelschalen entspringen ihrer hierarchischen Struktur, die von der nano- bis hinauf zur makroskopischen Ebene reicht, und einer kontrollierten Verbindung entlang der Grenzflächen der anorganischen und organischen Komponenten.
Ausgehend von diesen Schlüsselprinzipien des biologischen Materialdesigns wurden in dieser Arbeit zwei Konzepte für die bioinspirierte Strukturbildung von Kompositen untersucht, die auf dem Verkleben von Nano- oder Mesokristallen mit funktionalisierten Poly(2-oxazolin)-Blockcopolymeren beruhen sowie deren Potenzial zur Herstellung bioinspirierter selbstorganisierter hierarchischer anorganisch-organischer Verbundstrukturen ohne äußere Kräfte beleuchtet. Die Konzepte unterschieden sich in den verwendeten anorganischen Partikeln und in der Art der Strukturbildung.
Über einen modularen Ansatz aus Polymersynthese und polymeranaloger Thiol-En-Funktionalisierung wurde erfolgreich eine Bibliothek von Poly(2-oxazolin)en mit unterschiedlichen Funktionalitäten erstellt. Die Blockcopolymere bestehen aus einem kurzen partikelaffinen "Klebeblock", der aus Thiol-En-funktionalisiertem Poly(2-(3-butenyl)-2-oxazolin) besteht, und einem langen wasserlöslichen, strukturbildenden Block, der aus thermoresponsivem und kristallisierbarem Poly(2-isopropyl-2-oxazolin) besteht und hierarchische Morphologien ausbildet. Verschiedene analytische Untersuchungen wie Turbidimetrie, DLS, DSC, SEM oder XRD machten das thermoresponsive bzw. das Kristallisationsverhalten der Blockcopolymere in Abhängigkeit vom eingeführten Klebeblock zugänglich. Es zeigte sich, dass diese Polymere ein komplexes temperatur- und pH-abhängiges Trübungsverhalten aufweisen. Hinsichtlich der Kristallisation änderte der Klebeblock nicht die nanoskopische Kristallstruktur; er beeinflusste jedoch die Kristallisationszeit, den Kristallisationsgrad und die hierarchische Morphologie. Dieses Ergebnis wurde auf das unterschiedliche Aggregationsverhalten der Polymere in Wasser zurückgeführt.
Für die Herstellung von Kompositen nutzte Konzept 1 mikrometergroße Kupferoxalat-Mesokristalle, die eine innere Nanostruktur aufweisen. Die Strukturbildung über den anorganischen Teil wurde durch das Verkleben und Anordnen dieser Partikel erstrebt. Konzept 1 ermöglichte homogene freistehende stabile Kompositfilme mit einem hohen anorganischen Anteil. Die Partikel-Polymer-Kombination vereinte jedoch ungünstige Eigenschaften in sich, d. h. ihre Längenskalen waren zu unterschiedlich, was die Selbstassemblierung der Partikel verhinderte. Aufgrund des geringen Aspektverhältnisses von Kupferoxalat blieb auch die gegenseitige Ausrichtung durch äußere Kräfte erfolglos. Im Ergebnis eignet sich das Kupferoxalat-Poly(2-oxazolin)-Modellsystem nicht für die Herstellung hierarchischer Kompositstrukturen.
Im Gegensatz dazu verwendet Konzept 2 scheibenförmige Laponit®-Nanopartikel und kristallisierbare Blockcopolymere zur Strukturbildung über die organische Komponente durch polymervermittelte Selbstassemblierung. Komplementäre Analysemethoden (Zeta-Potenzial, DLS, SEM, XRD, DSC, TEM) zeigten sowohl eine kontrollierte Wechselwirkung zwischen den Komponenten in wässriger Umgebung als auch eine kontrollierte Strukturbildung, die in selbstassemblierten Nanokompositen resultiert, deren Struktur sich über mehrere Längenskalen erstreckt. Es wurde gezeigt, dass die negativ geladenen Klebeblöcke spezifisch und selektiv an den positiv geladenen Rändern der Laponit®-Partikel binden und so Polymer-Laponit®-Nanohybridpartikel entstehen, die als Grundbausteine für die Kompositbildung dienen. Die Hybridpartikel sind bei Raumtemperatur elektrosterisch stabilisiert - sterisch durch ihre langen, mit Wasser wechselwirkenden Poly(2-isopropyl-2-oxazolin)-Blöcke und elektrostatisch über die negativ geladenen Laponit®-Flächen. Im Ergebnis ließ sich Konzept 2 und damit die Strukturbildung über die organische Komponente erfolgreich umsetzten. Das Laponit®-Poly(2-oxazolin)-Modellsystem eröffnete den Weg zu selbstassemblierten geschichteten quasi-hierarchischen Nanokompositstrukturen mit hohem anorganischen Anteil. Abhängig von der frei verfügbaren Polymerkonzentration bei der Kompositbildung entstanden zwei unterschiedliche Komposit-Typen. Darüber hinaus entwarf die Arbeit einen Erklärungsansatz für den polymervermittelten Bildungsprozess der Komposit-Strukturen.
Insgesamt legt diese Arbeit Struktur-Prozess-Eigenschafts-Beziehungen offen, um selbstassemblierte bioinspirierte Kompositstrukturen zu bilden und liefert neue Einsichten zu einer geeigneten Kombination an Komponenten und Herstellungsbedingungen, die eine kontrollierte selbstassemblierte Strukturbildung mithilfe funktionalisierter Poly(2-oxazolin)-Blockcopolymere erlauben.
Dual glucagon-like peptide-1/glucagon receptor agonists have emerged as promising candidates for the treatment of diabetes and obesity. Issues of degradation sensitivity and rapid renal clearance are addressed, for example, by the conjugation of peptides to fatty acid chains, promoting reversible albumin binding. We use combined dynamic and static light scattering to directly measure the self-assembly of a set of dual peptide agonists based on the exendin-4 structure with varying fatty acid chain lengths in terms of apparent molecular mass and hydrodynamic radius (R-S). We use NMR spectroscopy to gain an insight into the molecular architecture of the assembly. We investigate conformational changes of the monomeric subunits resulting from peptide self-assembly and assembly stability as a function of the fatty acid chain length using circular dichroism and fluorescence spectroscopy. Our results demonstrate that self-assembly of the exendin-4-derived dual agonist peptides is essentially driven by hydrophobic interactions involving the conjugated acyl chains. The fatty acid chain length affects assembly equilibria and the assembly stability, although the peptide subunits in the assembly retain a dynamic secondary structure. The assembly architecture is characterized by juxtaposition of the fatty acyl side chains and a hydrophobic cluster of the peptide moiety. This cluster experiences local conformational changes in the assembly compared to the monomeric unit leading to a reduction in solvent exposure. The N-terminal half of the peptide and a C-terminal loop are not in contact with neighboring peptide subunits in the assemblies. Altogether, our study contributes to a thorough understanding of the association characteristics and the tendency toward self-assembly in response to lipidation. This is important not only to achieve the desired bioavailability but also with respect to the physical stability of peptide solutions.
Dual glucagon-like peptide-1/glucagon receptor agonists have emerged as promising candidates for the treatment of diabetes and obesity. Issues of degradation sensitivity and rapid renal clearance are addressed, for example, by the conjugation of peptides to fatty acid chains, promoting reversible albumin binding. We use combined dynamic and static light scattering to directly measure the self-assembly of a set of dual peptide agonists based on the exendin-4 structure with varying fatty acid chain lengths in terms of apparent molecular mass and hydrodynamic radius (R-S). We use NMR spectroscopy to gain an insight into the molecular architecture of the assembly. We investigate conformational changes of the monomeric subunits resulting from peptide self-assembly and assembly stability as a function of the fatty acid chain length using circular dichroism and fluorescence spectroscopy. Our results demonstrate that self-assembly of the exendin-4-derived dual agonist peptides is essentially driven by hydrophobic interactions involving the conjugated acyl chains. The fatty acid chain length affects assembly equilibria and the assembly stability, although the peptide subunits in the assembly retain a dynamic secondary structure. The assembly architecture is characterized by juxtaposition of the fatty acyl side chains and a hydrophobic cluster of the peptide moiety. This cluster experiences local conformational changes in the assembly compared to the monomeric unit leading to a reduction in solvent exposure. The N-terminal half of the peptide and a C-terminal loop are not in contact with neighboring peptide subunits in the assemblies. Altogether, our study contributes to a thorough understanding of the association characteristics and the tendency toward self-assembly in response to lipidation. This is important not only to achieve the desired bioavailability but also with respect to the physical stability of peptide solutions.
A directed attractive interaction between predefined "patchy" sites on the surfaces of anisotropic microcolloids can provide them with the ability to self-assemble in a controlled manner to build target structures of increased complexity. An important step toward the controlled formation of a desired superstructure is to identify reversible electrostatic interactions between patches which allow them to align with one another. The formation of bipatchy particles with two oppositely charged patches fabricated using sandwich microcontact printing is reported. These particles spontaneously self-aggregate in solution, where a diversity of short and long chains of bipatchy particles with different shapes, such as branched, bent, and linear, are formed. Calculations show that chain formation is driven by a combination of attractive electrostatic interactions between oppositely charged patches and the charge-induced polarization of interacting particles.
Cryo-electron microscopy (cryo-EM) is a powerful structure determination technique that is well-suited to the study of protein and polymer self-assembly in solution. In contrast to conventional transmission electron microscopy (TEM) sample preparation, which often times involves drying and staining, the frozen-hydrated sample preparation allows the specimens to be kept and imaged in a state closest to their native one. Here, we give a short overview of the basic principles of Cryo-EM and review our results on applying it to the study of different protein and polymer self-assembled nanostructures. More specifically, we show how we have applied cryo-electron tomography (cryo-ET) to visualize the internal morphology of self-assembled poly(ionic liquid) nanoparticles and cryo-EM single particle analysis (SPA) to determine the three-dimensional (3D) structures of artificial protein microtubules.
Racemic and highly enantioenriched 3-methoxycarbonyl, 3-carboxy, and 3-hydroxymethyl derivatives of dibenzo[6]helicene were prepared. The Langmuir layers of these helicenes were formed at the air-water interface and transferred onto solid substrates to afford Langmuir-Blodgett films, which were then studied by ambient atomic force microscopy and (chir)optical spectroscopy. Significant differences were found in the behaviour of the Langmuir layers as well as in the morphology, UV/Vis, electronic circular dichroism (ECD), and fluorescence spectra of the Langmuir-Blodgett thin films depending on the molecular chirality and nature of the polar group. The experimental results were supported by molecular dynamics simulations.
Due to its bioavailability and (bio)degradability, poly(lactide) (PLA) is an interesting polymer that is already being used as packaging material, surgical seam, and drug delivery system. Dependent on various parameters such as polymer composition, amphiphilicity, sample preparation, and the enantiomeric purity of lactide, PLA in an amphiphilic block copolymer can affect the self-assembly behavior dramatically. However, sizes and shapes of aggregates have a critical effect on the interactions between biological and drug delivery systems, where the general understanding of these polymers and their ability to influence self-assembly is of significant interest in science.
The first part of this thesis describes the synthesis and study of a series of linear poly(L-lactide) (PLLA) and poly(D-lactide) (PDLA)-based amphiphilic block copolymers with varying PLA (hydrophobic), and poly(ethylene glycol) (PEG) (hydrophilic) chain lengths and different block copolymer sequences (PEG-PLA and PLA-PEG). The PEG-PLA block copolymers were synthesized by ring-opening polymerization of lactide initiated by a PEG-OH macroinitiator. In contrast, the PLA-PEG block copolymers were produced by a Steglich-esterification of modified PLA with PEG-OH.
The aqueous self-assembly at room temperature of the enantiomerically pure PLLA-based block copolymers and their stereocomplexed mixtures was investigated by dynamic light scattering (DLS), transmission electron microscopy (TEM), wide-angle X-ray diffraction (WAXD), and differential scanning calorimetry (DSC). Spherical micelles and worm-like structures were produced, whereby the obtained self-assembled morphologies were affected by the lactide weight fraction in the block copolymer and self-assembly time. The formation of worm-like structures increases with decreasing PLA-chain length and arises from spherical micelles, which become colloidally unstable and undergo an epitaxial fusion with other micelles. As shown by DSC experiments, the crystallinity of the corresponding PLA blocks increases within the self-assembly time. However, the stereocomplexed self-assembled structures behave differently from the parent polymers and result in irregular-shaped clusters of spherical micelles. Additionally, time-dependent self-assembly experiments showed a transformation, from already self-assembled morphologies of different shapes to more compact micelles upon stereocomplexation.
In the second part of this thesis, with the objective to influence the self-assembly of PLA-based block copolymers and its stereocomplexes, poly(methyl phosphonate) (PMeP) and poly(isopropyl phosphonate) (PiPrP) were produced by ring-opening polymerization to implement an alternative to the hydrophilic block PEG. Although, the 1,8 diazabicyclo[5.4.0]unde 7 ene (DBU) or 1,5,7 triazabicyclo[4.4.0]dec-5-ene (TBD) mediated synthesis of the corresponding poly(alkyl phosphonate)s was successful, however, not so the polymerization of copolymers with PLA-based precursors (PLA-homo polymers, and PEG-PLA block copolymers). Transesterification, obtained by 1H-NMR spectroscopy, between the poly(phosphonate)- and PLA block caused a high-field shifted peak split of the methine proton in the PLA polymer chain, with split intensities depending on the used catalyst (DBU for PMeP, and TBD for PiPrP polymerization). An additional prepared block copolymer PiPrP-PLLA that wasn’t affected in its polymer sequence was finally used for self-assembly experiments with PLA-PEG and PEG-PLA mixing.
This work provides a comprehensive study of the self-assembly behavior of PLA-based block copolymers influenced by various parameters such as polymer block lengths, self-assembly time, and stereocomplexation of block copolymer mixtures.
Aldol reactions play an important role in organic synthesis, as they belong to the class of highly beneficial C-C-linking reactions. Aldol-type reactions can be efficiently and stereoselectively catalyzed by the enzyme 2-deoxy-D-ribose-5-phosphate aldolase (DERA) to gain key intermediates for pharmaceuticals such as atorvastatin. The immobilization of DERA would open the opportunity for a continuous operation mode which gives access to an efficient, large-scale production of respective organic intermediates. In this contribution, we synthesize and utilize DERA/polymer conjugates for the generation and fixation of a DERA bearing thin film on a polymeric membrane support. The conjugation strongly increases the tolerance of the enzyme toward the industrial relevant substrate acetaldehyde while UV-cross-linkable groups along the conjugated polymer chains provide the opportunity for covalent binding to the support. First, we provide a thorough characterization of the conjugates followed by immobilization tests on representative, nonporous cycloolefinic copolymer supports. Finally, immobilization on the target supports constituted of polyacrylonitrile (PAN) membranes is performed, and the resulting enzymatically active membranes are implemented in a simple membrane module setup for the first assessment of biocatalytic performance in the continuous operation mode using the combination hexanal/acetaldehyde as the substrate.