The Eye of a Mathematical Physicist

In this essay we are searching for neural correlates of ‘doing mathematical physics'. We introduce a toy model of a mathematical physicist, a brain connected with the outside world only by vision and saccadic eye movements and interacting with a computer screen. First, we describe the neuroanatomy of the visuo-saccadic system and Listing's law, which binds saccades and the optics of the eye. Then we explain space-time transformations in the superior colliculus, the performance of a canonical cortical circuit in the frontal eye field and finally the recurrent interaction of both areas, which leads to a coherent percept of space in spite of saccades. This sets the stage in the brain for doing mathematical physics, which is analyzed in simple example

Theoretical explanations of Listing's law and their implication for binocular vision

AbstractWe shall discuss three theoretical explanations of Listing's law for conjugate eye movements with the head fixed: the original argument by Helmholtz, which is “sensorimotor” in its attempt to optimize vision by using internal feedback from the oculomotor system, and two comparatively simple recent explanations based on either visual or oculomotor performance. These geometrical demonstrations shed some light on recent generalizations of Listing's law to vergent eye movements

Quantum mechanics in the brain

Does the enormous computing power of neurons mean consciousness can be explained within a purely neurobiological framework, or is there scope for quantum computation in the brain

A kinetic Fokker–Planck approach for modeling variable hard-sphere gas mixtures

Kinetic Fokker-Planck (FP) methods for modeling rarefied gas flows have received increasing attention over the last few years. However, formulating such models for realistic multi-species gases is still an open subject of research. Therefore, in this letter, we develop a kinetic FP model for describing gas mixtures with particles interacting according to the variable hard-sphere interaction potential. In accordance with the kinetic FP framework, a stochastic solution algorithm is employed in order to solve the model on a particle level. Different test cases are carried out, and the performance of the proposed method is compared with the direct simulation Monte Carlo algorithm

Toxicity Analysis in the ADEBAR Trial: Sequential Anthracycline-Taxane Therapy Compared with FEC120 for the Adjuvant Treatment of High-Risk Breast Cancer

Background: Data from meta-analyses have shown taxane-containing therapies to be superior to anthracycline-based treatments for high-risk breast cancer. Patients and Methods: The ADEBAR trial was a multicenter phase Ill trial in which patients with lymph node-positive breast cancer were prospectively randomized for either sequential anthracycline-taxane or FEC120 therapy. Patients received 4x epirubicin (90 mg/m(2)) and cyclophosphamide (600 mg/m(2)) every 3 weeks (q3w), followed by 4x docetaxel (100 mg/m(2)) q3w (EC-Doc arm), or 6x epirubicin (60 mg/m(2)) and 5-fluorouracil (500 mg/m(2)) on days 1 and 8 and cyclophosphamide (75 mg/m(2)) on days 1-14, q4w (FEC arm). We compared both arms with respect to toxicity and feasibility. Results: Hematological toxicity was found significantly more often in the FEC arm. Febrile neutropenia was seen in 11.3% of patients in the FEC arm and in 8.4% of patients in the EC-Doc arm (p = 0.027). Non-hematological side effects of grade 3/4 were rarely seen in either arm. Therapy was terminated due to toxicity in 3.7% of the patients in the EC-Doc arm and in 8.0% of the patients in the FEC arm (p = 0.0009). Conclusion: The sequential anthracycline-taxane regimen is a well-tolerated and feasible alternative to FEC120 therapy

Uncertainty contributions to low-flow projections in Austria

The main objective of the paper is to understand the contributions to the uncertainty in low-flow projections resulting from hydrological model uncertainty and climate projection uncertainty. Model uncertainty is quantified by different parameterisations of a conceptual semi-distributed hydrologic model (TUWmodel) using 11 objective functions in three different decades (1976&ndash;1986, 1987&ndash;1997, 1998&ndash;2008), which allows for disentangling the effect of the objective function-related uncertainty and temporal stability of model parameters. Climate projection uncertainty is quantified by four future climate scenarios (ECHAM5-A1B, A2, B1 and HADCM3-A1B) using a delta change approach. The approach is tested for 262 basins in Austria. <br><br> The results indicate that the seasonality of the low-flow regime is an important factor affecting the performance of model calibration in the reference period and the uncertainty of <i>Q</i>₉₅ low-flow projections in the future period. In Austria, the range of simulated <i>Q</i>₉₅ in the reference period is larger in basins with a summer low-flow regime than in basins with a winter low-flow regime. The accuracy of simulated <i>Q</i>₉₅ may result in a range of up to 60 % depending on the decade used for calibration. <br><br> The low-flow projections of Q₉₅ show an increase of low flows in the Alps, typically in the range of 10–30 % and a decrease in the south-eastern part of Austria mostly in the range &minus;5 to &minus;20 % for the climate change projected for the future period 2021&ndash;2050, relative the reference period 1978&ndash;2007. The change in seasonality varies between scenarios, but there is a tendency for earlier low flows in the northern Alps and later low flows in eastern Austria. The total uncertainty of <i>Q</i>₉₅ projections is the largest in basins with a winter low-flow regime and, in some basins the range of <i>Q</i>₉₅ projections exceeds 60 %. In basins with summer low flows, the total uncertainty is mostly less than 20 %. The ANOVA assessment of the relative contribution of the three main variance components (i.e. climate scenario, decade used for model calibration and calibration variant representing different objective function) to the low-flow projection uncertainty shows that in basins with summer low flows climate scenarios contribute more than 75 % to the total projection uncertainty. In basins with a winter low-flow regime, the median contribution of climate scenario, decade and objective function is 29, 13 and 13 %, respectively. The implications of the uncertainties identified in this paper for water resource management are discussed

TO ERADICATION OF VOLTAGE SAG AND HARMONICS IN DISTRIBUTION SYSTEM USING DVR WITH CAPACITOR COMPENSATION SCHEME

Power Quality (PQ) is that the most vital perspectives on transmission and distribution ranges. The availability of high-grade electric powered offerings wished for the customers illustrates this idea. The voltage sag and swell square degree the most not unusual PQ problems that in particular rise up in the distribution systems because of the truth that it's going to cause tool tripping, failure of stress systems, closure for home and business instrumentality. The Dynamic Voltage Restorer (DVR) associated nonparallel has amazing dynamic talents and is a flexible solution for PQ troubles. Ultra-capacitors (UCAP) have quality developments like excessive strength and espresso electricity density important for the mitigation of voltage sag and swell. This paper offers AN extended DVR topology capable of handing over deep, prolonged mitigation for power terrific troubles. Within the planned DVR, UCAP is employed as strength storage because it offers immoderate electricity in a totally short c software language length of it gradual. The DVR is protected into Ultra capacitor via a bifacial DC-DC converter which facilitates in supplying a rigid dc-link voltage and conjointly enables in compensating transient voltage sag and voltage swell. PI Controller is hired in DVR for electricity exceptional improvement. The simulation model for the proposed device has been superior in MATLAB and therefore the performance over famous DVR is legitimate with the effects obtained