Spectral proper orthogonal decomposition

The identification of coherent structures from experimental or numerical data is an essential task when conducting research in fluid dynamics. This typically involves the construction of an empirical mode base that appropriately captures the dominant flow structures. The most prominent candidates are the energy-ranked proper orthogonal decomposition (POD) and the frequency ranked Fourier decomposition and dynamic mode decomposition (DMD). However, these methods fail when the relevant coherent structures occur at low energies or at multiple frequencies, which is often the case. To overcome the deficit of these "rigid" approaches, we propose a new method termed Spectral Proper Orthogonal Decomposition (SPOD). It is based on classical POD and it can be applied to spatially and temporally resolved data. The new method involves an additional temporal constraint that enables a clear separation of phenomena that occur at multiple frequencies and energies. SPOD allows for a continuous shifting from the energetically optimal POD to the spectrally pure Fourier decomposition by changing a single parameter. In this article, SPOD is motivated from phenomenological considerations of the POD autocorrelation matrix and justified from dynamical system theory. The new method is further applied to three sets of PIV measurements of flows from very different engineering problems. We consider the flow of a swirl-stabilized combustor, the wake of an airfoil with a Gurney flap, and the flow field of the sweeping jet behind a fluidic oscillator. For these examples, the commonly used methods fail to assign the relevant coherent structures to single modes. The SPOD, however, achieves a proper separation of spatially and temporally coherent structures, which are either hidden in stochastic turbulent fluctuations or spread over a wide frequency range

Predictive Biomarkers for Monoclonal Antibody Therapies Targeting EGFR (Cetuximab, Panitumumab) in the Treatment of Metastatic Colorectal Cancer

The treatment for patients with metastatic colorectal cancer has progressively improved over the past few decades with the development of more effective anti-cancer drugs and multi-disciplinary management approaches that combine sequential lines of non-cross-resistant drugs and increased use of potentially curative surgery for metastases of the liver and lung. In this setting, the introduction of monoclonal antibody therapies that target the epidermal growth factor receptor (EGFR) (cetuximab and panitumumab) has made an important contribution to improved patient outcomes. However, the efficacy of therapies is generally limited to a small proportion of patients and associated with toxicity and high cost. There is an urgent clinical need for robust predictive biomarkers to guide the effective use of therapy options. In this chapter we review clinical and molecular predictive markers of primary therapy response for metastatic colorectal cancer, focusing on anti-EGFR antibody therapies, discussing both currently approved and emerging biomarkers

The Mechanical Design Of The Bpm Inter-Tank Section For P-Linac At FAIR

At the planned Proton LINAC at the FAIR facility,four-fold button Beam Position Monitor (BPM) will beinstalled at 14 locations along the 30 m long FAIR p-LINAC. The LINAC comprises of crossbar H-mode (CH)cavity to accelerate a 70 mA proton beam up to 70 MeVat frequency of 325 MHz. At four locations, the BPMswill be an integral part of the inter-tank section betweenthe CCH and CH cavities within an evacuated housing.As the BPM centre is only 48 mm apart from the upstreamcavity boundary, the rf-background at the BPMposition, generated by the cavity must be evaluated. Inthis paper the mechanical design of the BPM for the intertanksection is presented and the rf-noise at the BPMlocation is discussed

Experimentally verified pulse formation model for high-power femtosecond VECSELs

Optically pumped vertical-external-cavity surface-emitting lasers (OP-VECSELs), passively modelocked with a semiconductor saturable absorber mirror (SESAM), have generated the highest average output power from any sub-picosecond semiconductor laser. Many applications, including frequency comb synthesis and coherent supercontinuum generation, require pulses in the sub-300-fs regime. A quantitative understanding of the pulse formation mechanism is required in order to reach this regime while maintaining stable, high-average-power performance. We present a numerical model with which we have obtained excellent quantitative agreement with two recent experiments in the femtosecond regime, and we have been able to correctly predict both the observed pulse duration and the output power for the first time. Our numerical model not only confirms the soliton-like pulse formation in the femtosecond regime, but also allows us to develop several clear guidelines to scale the performance toward shorter pulses and higher average output power. In particular, we show that a key VECSEL design parameter is a high gain saturation fluence. By optimizing this parameter, 200-fs pulses with an average output power of more than 1 W should be possible

A statistical approach for detecting genomic aberrations in heterogeneous tumor samples from single nucleotide polymorphism genotyping data

We describe a statistical method for the characterization of genomic aberrations in single nucleotide polymorphism microarray data acquired from cancer genomes. Our approach allows us to model the joint effect of polyploidy, normal DNA contamination and intra-tumour heterogeneity within a single unified Bayesian framework. We demonstrate the efficacy of our method on numerous datasets including laboratory generated mixtures of normal-cancer cell lines and real primary tumours

Novel measurement system for respiratory aerosols and droplets in indoor environments

The SARS-CoV-2 pandemic has created a great demand for a better understanding of the spread of viruses in indoor environments. A novel measurement system consisting of one portable aerosol-emitting mannequin (emitter) and a number of portable aerosol-absorbing mannequins (recipients) was developed that can measure the spread of aerosols and droplets that potentially contain infectious viruses. The emission of the virus from a human is simulated by using tracer particles solved in water. The recipients inhale the aerosols and droplets and quantify the level of solved tracer particles in their artificial lungs simultaneously over time. The mobile system can be arranged in a large variety of spreading scenarios in indoor environments and allows for quantification of the infection probability due to airborne virus spreading. This study shows the accuracy of the new measurement system and its ability to compare aerosol reduction measures such as regular ventilation or the use of a room air purifier