Sufficient optimality conditions for bilinear optimal control of the linear damped wave equation

In this paper we discuss sufficient optimality conditions for an optimal control problem for the linear damped wave equation with the damping parameter as the control. We address the case that the control enters quadratic in the cost function as well as the singular case that the control enters affine. For the non-singular case we consider strong and weak local minima , in the singular case we derive sufficient optimality conditions for weak local minima. Thereby, we take advantage of the Goh transformation applying techniques recently established in Aronna, Bonnans, and Kröner [Math. Program. 168(1):717–757, 2018] and [INRIA research report, 2017]. Moreover, a numerical example for the singular case is presented

Quinaprilat during cardioplegic arrest in the rabbit to prevent ischemia-reperfusion injury

AbstractObjectives: This study evaluated intracardiac angiotensin-converting enzyme inhibition as an adjuvant to cardioplegia and examined its effects on hemodynamic, metabolic, and ultrastructural postischemic outcomes. Methods: The experiments were performed with an isolated, erythrocyte-perfused, rabbit working-heart model. The hearts excised from 29 adult New Zealand White rabbits (2950 ± 200 g) were randomly assigned to four groups. Two groups received quinaprilat (1 μg/mL), initiated either with cardioplegia (n = 7) or during reperfusion (n = 7). The third group received l-arginine (2 mmol/L) initiated with cardioplegia (n = 7). Eight hearts served as a control group. Forty minutes of preischemic perfusion were followed by 60 minutes of hypothermic arrest and 40 minutes of reperfusion. Results: All treatments substantially improved postischemic recovery of external heart work (62% ± 6%, 69% ± 3%, and 64% ± 5% in quinaprilat during cardioplegia, quinaprilat during reperfusion, and l-arginine groups, respectively, vs 35% ± 5% in control group, P <.001) with similarly increased external stroke work and cardiac output. When administered during ischemia, quinaprilat significantly improved recovery of coronary flow (70% ± 8%, P =.028 vs quinaprilat during reperfusion [49% ± 5%] and P =.023 vs control [48% ± 6%]). l-Arginine (55% ± 7%) showed no significant effect. Postischemic myocardial oxygen consumption remained low in treatment groups (4.6 ± 1.2 mL · min−1 · 100 g−1, 6.0 ± 2.2 mL · min−1 · 100 g−1, and 4.7 ± 1.6 mL · min−1 · 100 g−1 in quinaprilat during cardioplegia, quinaprilat during reperfusion, and l-arginine groups, respectively, vs 4.2 ± 0.8 mL · min−1 · 100 g−1 in control group), even though cardiac work was markedly increased. High-energy phosphates, which were consistently elevated in all treatment groups, showed a significant increase in adenosine triphosphate with quinaprilat during ischemia (2.24 ± 0.14 μmol/g vs 1.81 ± 0.12 μmol/g in control group, P =.040). Ultrastructural grading of mitochondrial damage revealed best preservation with quinaprilat during ischemia (100% [no damage], P =.001 vs control). Conclusion: These experimental findings have clinical relevance regarding prevention of postoperative myocardial stunning and low coronary reflow in patients undergoing heart surgery.J Thorac Cardiovasc Surg 2002;124:352-6

The cross-sectional GRAS sample: A comprehensive phenotypical data collection of schizophrenic patients

<p>Abstract</p> <p>Background</p> <p>Schizophrenia is the collective term for an exclusively clinically diagnosed, heterogeneous group of mental disorders with still obscure biological roots. Based on the assumption that valuable information about relevant genetic and environmental disease mechanisms can be obtained by association studies on patient cohorts of ≥ 1000 patients, if performed on detailed clinical datasets and quantifiable biological readouts, we generated a new schizophrenia data base, the GRAS (Göttingen Research Association for Schizophrenia) data collection. GRAS is the necessary ground to study genetic causes of the schizophrenic phenotype in a 'phenotype-based genetic association study' (PGAS). This approach is different from and complementary to the genome-wide association studies (GWAS) on schizophrenia.</p> <p>Methods</p> <p>For this purpose, 1085 patients were recruited between 2005 and 2010 by an invariable team of traveling investigators in a cross-sectional field study that comprised 23 German psychiatric hospitals. Additionally, chart records and discharge letters of all patients were collected.</p> <p>Results</p> <p>The corresponding dataset extracted and presented in form of an overview here, comprises biographic information, disease history, medication including side effects, and results of comprehensive cross-sectional psychopathological, neuropsychological, and neurological examinations. With >3000 data points per schizophrenic subject, this data base of living patients, who are also accessible for follow-up studies, provides a wide-ranging and standardized phenotype characterization of as yet unprecedented detail.</p> <p>Conclusions</p> <p>The GRAS data base will serve as prerequisite for PGAS, a novel approach to better understanding 'the schizophrenias' through exploring the contribution of genetic variation to the schizophrenic phenotypes.</p

Pauli letter collection: letter to Wolfgang Pauli

Kröner writes about the relation between physics and biology. He believes in an intermediary region between both sciences. He says that quantum physics is perhaps the first glimpse of this region

Pauli letter collection: letter to Wolfgang Pauli

Kröner makes some additional comments on their conversation of 14 July. He speaks about the contents of consciousness, phenomenalism and realism, reality in quantum physics, the borderline between science and the absolute. He opposes Weizsäcker's interpretation of experiments

Pauli letter collection: letter to Wolfgang Pauli

Kröner's reply to Fierz's letter. He writes about the relation between physics and the physicist, and speaks about the concept of wholeness

Pauli letter collection: letter to Wolfgang Pauli

Kröner's tentative remarks for a lecture on physical science and the relationalization of life