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VARIATIONAL DISCRETIZATION OF PARABOLIC CONTROL PROBLEMS IN THE PRESENCE OF POINTWISE STATE CONSTRAINTS

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Journal of Computational Mathematics 2011年第1期29卷 1-15页

作者： Klaus Deckelnick michael Hinze Institut fiir Analysis und Numerik Otto-von Guericke-Universitiit Magdeburg Universitiitsplatz 2 39106 Magdeburg Germany Schwerpunkt Optimierung und Approximation Universitiit Hamburg Bundesstraape 55 20146 Hamburg Germany

space dimensions. These bounds follow from uniform estimates for the discretization error of the state under natural regularity requirements.

关键词： Parabolic optimal control problem State constraints Error estimates.

Group actions on treelike compact spaces

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Science China Mathematics 2019年第12期62卷 2447-2462页

作者： Eli Glasner michael Megrelishvili Department of Mathematics Tel Aviv UniversityTel Aviv 6997801Israel Department of Mathematics Bar-Ilan UniversityRamat-Gan 5290002Israel

We show that group actions on many treelike compact spaces are not too complicated *** first observe that an old argument of Seidler(1990)implies that every action of a topological group G on a regular continuum is null and therefore also *** every local dendron is regular,one concludes that every action of G on a local dendron is *** then use a more direct method to show that every continuous group action of G on a dendron is Rosen thal represent able,hence also *** resul ts are obtained for median *** a related result,we show that Helly's selection principle can be extended to bounded monotone sequences defined on median pretrees(for example,dendrons or linearly ordered sets).Finally,we point out some applications of these results to continuous group actions on dendrites.

关键词： amenable group dendrite dendron fragmentability median pretree proximal action RosenthalBanach space tame dynamical system

Knowing your enemies： Integrating molecular and ecological methods to assess the impact of arthropod predators on crop pests

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Insect Science 2015年第1期22卷 6-19页

作者： michael J. Furlong School of Biological Sciences The University of Queensland St Lucia Queensland 4072 Austrafia

The importance of natural enemies as the foundation of integrated pest management （IPM） is widely accepted, but few studies conduct the manipulative field experiments necessary to directly quantify their impact on pest populations in this context. This is particularly true for predators. Studying arthropod predator-prey interactions is inherently difficult： prey items are often completely consumed, individual predator-prey interactions are ephemeral （rendering their detection difficult） and the typically fluid or soft-bodied meals cannot be easily identified visually within predator guts. Serological techniques have long been used in arthropod predator gut-contents analysis, and current enzyme linked immunosorbent assays （ELISA） are highly specific and sensitive. Recently, poly- merase chain reaction （PCR） methods for gut-contents analysis have developed rapidly and they now dominate the diagnostic methods used for gut-contents analysis in field-based research. This work has identified trophic linkages within food webs, determined predator diet breadth and preference, demonstrated the importance of cannibalism and intraguild predation within and between certain taxa, and confirmed the benefits （predator persis- tence） and potential disadvantages （reduced feeding on pest species） of the availability of alternative nonpest prey. Despite considerable efforts to calibrate gut-contents assays, these methods remain qualitative. Available techniques for predator gut-contents analysis can provide rapid, accurate, cost-effective identification of predation events. As such, they perfectly compliment the ecological methods developed to directly assess predator im- pacts on prey populations but which are imperfect at identifying the key predators. These diagnostic methods for gut-contents analysis are underexploited in agricultural research and they are almost never applied in unison with the critical field experiments to measure predator impact. This paper stresses the need fo

关键词： conservation biological control enzyme linked immunosorbent assay (ELISA) gut-contents analysis immunomarking integrated pest management (IPM) polymerase chain reaction (PCR)

Examples of unbounded homogeneous domains in complex space

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Science China Mathematics 2005年第z1期48卷 248-261页

作者： michael Eastwood Alexander Isaev Department of Pure Mathematics University of Adelaide South Australia 5005AustraliaDepartment of Mathematics The Australian National UniversityCanberraACT 0200Australia

We present several examples of homogeneous domains in complex space that do not have bounded realisations. The domains are equivalent to tubes over affinely homogeneous domains in real space.

关键词： homogeneous unbounded domains.

Transcranial photobiomodulation for the brain: a wide range of clinical applications

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Neural Regeneration Research 2024年第3期19卷 483-484页

作者： michael R.Hamblin Laser Research Centre Faculty of Health ScienceUniversity of Johannesburg-Doornfontein CampusDoornfonteinSouth Africa

Photobiomodulation therapy(PBMT)is a rapidly growing approach to the healing,stimulation,protection,and regeneration of many human organs and tissue *** started in the 1960s as low-level laser therapy for wound healing,but since then the introduction of light-emitting diodes(LEDs)has dramatically increased the number of applications and reports of positive *** generally uses red(620-700 nm)and/or near-infrared(780-1270 nm)wavelengths of light at an intensity that causes no tissue heating,and its activity is based on well-established biological and cellular mechanisms(de Freitas and Hamblin,2016).While laser therapists continue to use various types of laser in their office practice,LEDs are ideally suited for home use devices because they are completely safe and without any known significant adverse *** the various body parts on which PBMT has been shown to exert beneficial effects,the brain stands out as perhaps the most promising *** has been shown to reduce neuroinflammation,while increasing mitochondrial function,oxygen consumption,and blood flow within the brain(Hamblin,2016).Moreover,PBMT can stimulate the processes of synaptogenesis,neurogenesis,and neuroplasticity thus helping the brain to heal itself.

关键词： healing stimulation wound

Human embryo models: unveiling sophisticated self-organization of stem cells during post-implantation stages

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Signal Transduction and Targeted Therapy 2023年第12期8卷 5565-5567页

作者： Manqiang Lin michael Sigal Department of Hepatology and Gastroenterology CharitéUniversitätsmedizin Berlin13353 BerlinGermany Berlin Institute for Medical Systems Biology(BIMSB) Max Delbrück Center for Molecular Medicine10115 BerlinGermany

In three recent articles published in Nature and Cell,Weatherbee et al.1,Pedroza et al.2 and Liu et al.3 have demonstrated how human pluripotent stem cells can be coaxed to self-organize into compartmentalized structures that mirror post-implantation *** on the successful establishment of stem cell-derived mouse embryo models ex utero,these models now shed light on human embryo development during the period between implantation and gastrulation,which has so far been challenging to investigate.

关键词： implantation Human mirror

Probing the formation of ultrastable metallic glass from structural heterogeneity

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Journal of Materials Science & Technology 2022年第9期104卷 214-223页

作者： Qijing Sun DavidM Miskovic michael Ferry School of Materials Science and Engineering The University of New South WalesSydneyNSW 2052Australia

Ultrastable metallic glasses(SMGs)exhibit enhanced stability comparable to those of conventional glasses aged for thousands of *** ability to understand why certain alloy compositions and processing conditions generate an SMG is an emerging ***,amplitude-modulation dynamic atomic force microscopy was utilized for tracking the structure of Zr_(50)Cu_(50),Zr_(50)Cu_(44.5)Al_(5.5)and Zr_(50)Cu_(41.5)Al_(5.5)Mo_(3) thin film metallic glasses(TFMGs)that were produced by direct current magnetron sputtering at room temperature with the rate of deposition being the only *** transition in stability from bulkto SMG-like behavior resides in the change of relaxation mechanism as the deposition rate is *** formation of SMGs is directly linked with the degree of structural heterogeneity,whereby MGs with greater heterogeneity have a higher potential to form SMGs with more significant enhancement in *** deposition rates,however,are required to yield the more homogenous structure and lower energy state underlying the *** is closely linked with the geometric shape and distribution of loosely packed phases,whereby SMGs containing more slender loosely packed phases with a more skewed distribution achieve more significant improvements in *** work not only provides direct evidence of the structure of SMGs,but also opens new horizons for the design of SMGs.

关键词： Ultrastable metallic glass Structural heterogeneity Relaxation dynamics Amplitude-modulation dynamic atomic force microscopy

Testosterone deficiency and treatment in older men： definition, treatment, pitfalls

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Asian Journal of Andrology 2010年第5期12卷 623-625页

作者： michael Zitzmann Centre for Reproductive Medicine and Andrology/Clinical Andrology of the University Clinics Domagkstr. 11 MuensterD-48149 Germany

Two manuscripts were recently published in the New England Journal of Medicine that relate to testosterone deficiency and treatment in older men. To many readers, both these studies will seem to be dealing with the same topic in a complementary manner： the first looks at how to define an illness and the second looks at how to treat it （or maybe not treat it）. If perceived as having stringent logical （and clinical） progression, these papers could have a major impact not only on andrology but on medicine in general.

关键词： Drugs Medical sciences

Fossilization of soft tissues

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National Science Review 2017年第4期4卷 512-513页

作者： michael Benton University of Bristol School of Earth Sciences

A hot topic in palaeontology is the fossilization of soft *** is evident that hard tissues such as bones,shells and cuticles can be preserved,but what about other biomolecules?Do we believe all the recent reports of b... 详细信息

关键词： Fossilization of soft tissues