Thermal Casimir effect at fluid interfaces: Fluctuation-induced forces between anisotropic colloids

We study the effective interaction between two ellipsoidal particles at the interface of two fluid phases which are mediated by thermal fluctuations of the interface. Within a coarse-grained picture, the properties of fluid interfaces are very well described by an effective capillary wave Hamiltonian which governs both the equilibrium interface configuration and the thermal fluctuations (capillary waves) around this equilibrium (or mean-field) position. As postulated by the Goldstone theorem the capillary waves are long-range correlated. The interface breaks the continuous translational symmetry of the system, and in the limit of vanishing external fields - like gravity - it has to be accompanied by easily excitable long wavelength (Goldstone) modes – precisely the capillary waves. In this system the restriction of the long-ranged interface fluctuations by particles gives rise to fluctuation-induced forces which are equivalent to interactions of Casimir type and which are anisotropic in the interface plane. Since the position and the orientation of the colloids with respect to the interface normal may also fluctuate, this system is an example for the Casimir effect with fluctuating boundary conditions. In the approach taken here, the Casimir interaction is rewritten as the interaction between fluctuating multipole moments of an auxiliary charge density-like field defined on the area enclosed by the contact lines. These fluctuations are coupled to fluctuations of multipole moments of the contact line position (due to the possible position and orientational fluctuations of the colloids). We obtain explicit expressions for the behavior of the Casimir interaction at large distances for arbitrary ellipsoid aspect ratios. If colloid fluctuations are suppressed, the Casimir interaction at large distances is isotropic, attractive and long ranged (double-logarithmic in the distance). If, however, colloid fluctuations are included, the Casimir interaction at large distances changes to a power law in the inverse distance and becomes anisotropic. The leading power is 4 if only vertical fluctuations of the colloid center are allowed, and it becomes 8 if also orientational fluctuations are included.

Dynamics of epithelial monolayers assessed by acoustic and impedimetric whole cell biosensors

Mit der Zielsetzung der vorliegenden Arbeit wurde die detailierten Analyse von Migrationsdynamiken epithelilaler Monolayer anhand zweier neuartiger in vitro Biosensoren verfolgt, der elektrischen Zell-Substrat Impedanz Spektroskopie (electrical cell-substrate impedance sensing, ECIS) sowie der Quarz Kristall Mikrowaage (quartz crystal microbalance, QCM). Beide Methoden erwiesen sich als sensitiv gegenüber der Zellmotilität und der Nanozytotoxizität.rnInnerhalb des ersten Projektes wurde ein Fingerprinting von Krebszellen anhand ihrer Motilitätsdynamiken und der daraus generierten elektrischen oder akkustischen Fluktuationen auf ECIS oder QCM Basis vorgenommen; diese Echtzeitsensoren wurdene mit Hilfe klassicher in vitro Boyden-Kammer Migrations- und Invasions-assays validiert. Fluktuationssignaturen, also Langzeitkorrelationen oder fraktale Selbstähnlichkeit aufgrund der kollektiven Zellbewegung, wurden über Varianz-, Fourier- sowie trendbereinigende Fluktuationsanalyse quantifiziert. Stochastische Langzeitgedächtnisphänomene erwiesen sich als maßgebliche Beiträge zur Antwort adhärenter Zellen auf den QCM und ECIS-Sensoren. Des weiteren wurde der Einfluss niedermolekularer Toxine auf die Zytoslelettdynamiken verfolgt: die Auswirkungen von Cytochalasin D, Phalloidin und Blebbistatin sowie Taxol, Nocodazol und Colchicin wurden dabei über die QCM und ECIS Fluktuationsanalyse erfasst.rnIn einem zweiten Projektschwerpunkt wurden Adhäsionsprozesse sowie Zell-Zell und Zell-Substrat Degradationsprozesse bei Nanopartikelgabe charackterisiert, um ein Maß für Nanozytotoxizität in Abhangigkeit der Form, Funktionalisierung Stabilität oder Ladung der Partikel zu erhalten.rnAls Schlussfolgerung ist zu nennen, dass die neuartigen Echtzeit-Biosensoren QCM und ECIS eine hohe Zellspezifität besitzen, auf Zytoskelettdynamiken reagieren sowie als sensitive Detektoren für die Zellvitalität fungieren können.

Fluctuation spectroscopy of single plasmonic nanostructures

Plasmonic nanoparticles are great candidates for sensing applications with optical read-out. Plasmon sensing is based on the interaction of the nanoparticle with electromagnetic waves where the particle scatters light at its resonance wavelength. This wavelength depends on several intrinsic factors like material, shape and size of the nanoparticle as well as extrinsic factors like the refractive index of the surrounding medium. The latter allows the nanoparticle to be used as a sensor; changes in the proximate environment can be directly monitored by the wavelength of the emitted light. Due to their minuscule size and high sensitivity this allows individual nanoparticles to report on changes in particle coverage.rnrnTo use this single particle plasmon sensor for future sensing applications it has to meet the demand for detection of incidents on the single molecule level, such as single molecule sensing or even the detection of conformational changes of a single molecule. Therefore, time resolution and sensitivity have to be enhanced as today’s measurement methods for signal read-out are too slow and not sensitive enough to resolve these processes. This thesis presents a new experimental setup, the 'Plasmon Fluctuation Setup', that leads to tremendous improvements in time resolution and sensitivity. This is achieved by implementation of a stronger light source and a more sensitive detector. The new setup has a time resolution in the microsecond regime, an advancement of 4-6 orders of magnitude to previous setups. Its resonance wavelength stability of 0.03 nm, measured with an exposure time of 10 ms, is an improvement of a factor of 20 even though the exposure time is 3000 times shorter than in previous reports. Thus, previously unresolvable wavelength changes of the plasmon sensor induced by minor local environmental alteration can be monitored with extremely high temporal resolution.rnrnUsing the 'Plasmon Fluctuation Setup', I can resolve adsorption events of single unlabeled proteins on an individual nanorod. Additionally, I monitored the dynamic evolution of a single protein binding event on a millisecond time scale. This feasibility is of high interest as the role of certain domains in the protein can be probed by a study of modified analytes without the need for labels possibly introducing conformational or characteristic changes to the target. The technique also resolves equilibrium fluctuations in the coverage, opening a window into observing Brownian dynamics of unlabeled macromolecules. rnrnA further topic addressed in this thesis is the usability of the nanoruler, two nanospheres connected with a spacer molecule, as a stiffness sensor for the interparticle linker under strong illumination. Here, I discover a light induced collapse of the nanoruler. Furthermore, I exploit the sensing volume of a fixed nanorod to study unlabeled analytes diffusing around the nanorod at concentrations that are too high for fluorescence correlation spectroscopy but realistic for biological systems. Additionally, local pH sensing with nanoparticles is achieved.