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  • Articles  (8)
  • OceanRep
  • Gröbner bases  (3)
  • Treatment  (3)
  • Conditioning  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Advances in computational mathematics 12 (2000), S. 335-362 
    ISSN: 1572-9044
    Keywords: ideal bases ; Gröbner bases ; multivariate polynomials ; interpolation ; systems of polynomial equations ; 65D05 ; 65H10 ; 13P10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The H-basis concept allows, similarly to the Gröbner basis concept, a reformulation of nonlinear problems in terms of linear algebra. We exhibit parallels of the two concepts, show properties of H-bases, discuss their construction and uniqueness questions, and prove that n polynomials in n variables are, under mild conditions, already H-bases. We apply H-bases to the solution of polynomial systems by the eigenmethod and to multivariate interpolation.
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  • 2
    ISSN: 1433-0407
    Keywords: Schlüsselwörter Transkranielle Magnetstimulation ; Elektrokrampftherapie ; Depression ; Therapie ; Key words Transcranial magnetic stimulation ; Electro convulsive therapy ; Depression ; Treatment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Summary Transcranial magnetic stimulation (TMS) has been used since a decade to investigate the central motor system in the neurological routine diagnostic. From this experience TMS has prooved to be a save and well tolerated procedure. In the past few years several studies investigated TMS to electrically stimulate deeper brain regions to find antidepressive effects in analogy to electro convulsive therapy (ECT). This could be of great advantage as TMS is well tolerated and does not require general anesthesia. There have been some case reports and also some controlled clinical studies on TMS as a therapeutic tool. The results of these studies have been promising. Many questions regarding technical and clinical aspects remain to be answered. In the future however TMS could be a valuable addition in the treatment of depression.
    Notes: Zusammenfassung Die transkranielle Magnetstimulation (TMS) ist ein Verfahren, das seit nunmehr einer Dekade in der neurologischen Diagnostik zur Untersuchung der motorischen Bahnsysteme routinemäßig eingesetzt wird. Aus dieser Zeit ist die TMS bezüglich der Sicherheit in der Anwendung am Menschen gut untersucht und hat sich als sicher und nebenwirkungsfrei erwiesen. Seit wenigen Jahren wird die Möglichkeit untersucht, mittels der TMS nichtinvasiv tiefere Hirnregionen elektrisch zu stimulieren und so, in Analogie zur Elektrokrampftherapie, eine antidepressive Wirkung zu erzielen. Dies hätte große Vorteile, da dieses Verfahren schonend und ohne Narkose angewendet werden kann. Mehrere Einzelfallanwendungen, aber auch schon mehrere klinisch kontrollierte Studien lassen z. Z. die begründete Hoffnung zu, daß dieses Verfahren zu einer Erweiterung des Spektrums antidepressiver Behandlungsverfahren führen könnte.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Der Anaesthesist 48 (1999), S. 507-518 
    ISSN: 1432-055X
    Keywords: Schlüsselwörter Postoperatives Delir ; Postoperative psychiatrische Störungen ; Therapie ; Prophylaxe ; Key words Postoperative delirium ; Postoperative psychiatric disturbance ; Treatment ; Prophylaxis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Abstract After surgical operations delirium can occur as a serious and possible lethal complication in about 5–15% of patients. Additionally, risk factors such as old age, polymedication, organic and psychiatric diseases raise the incidence. After open-heart- and orthopedic surgery more than half of the patients are affected. Delirium has negative effects on postoperative mobilization and reconvalescence and prolongs treatment on the ward. It is discussed in the literature that delirium may induce dementia in older patients. The correction of metabolic- and electrolyte imbalances, as well as the therapy of neurologic and psychiatric diseases, belongs to prophylactic treatment. Environmental conditions which facilitate reorientation of the patient after operation have beneficial effects. Some success has been achieved by using the nootropic substance piracetam as a prophylactic. In acute treatment, the butyrophenon-neuroleptic haloperidol is the drug of choice. In delirium caused by intoxication with anticholinergic agents, physostigmin is indicated. Benzodiazepines, clonidine and clomethiazole are used in particular for the treatment of withdrawal delirium.
    Notes: Zusammenfassung Nach operativen Eingriffen kommt es bei 5 bis 15% der Patienten zu einem Delir, welches eine ernste und potentiell tödliche Komplikation darstellt. Bei zusätzlich bestehenden Risikofaktoren wie hohem Alter, medikamentöser Mehrfachtherapie, somatischen und psychiatrischen Störungen findet sich eine noch wesentlich höhere Inzidenz. Bei Operationen am offenen Herzen und orthopädischen Eingriffen sind über die Hälfte der Patienten betroffen. Das Delir beeinträchtigt die postoperative Mobilisierung und Rekonvaleszenz der Patienten und führt zur Verlängerung des stationären Aufenthalts. Die Gefahr einer dementiellen Entwicklung als Spätfolge des Delir bei älteren Patienten wird in der Literatur diskutiert. Zu den Maßnahmen der Prophylaxe zählen die Behandlung von metabolischen Entgleisungen, Ausgleich von Elektrolytstörungen und Therapie von neurologischen und psychiatrischen Erkrankungen. Verhaltensmaßnahmen, die die Orientierung des Patienten nach der Operation erleichtern, haben eine günstige Wirkung. Erfolge wurden durch die prophylaktische Verabreichung des Nootropikums Piracetam berichtet. In der Akutbehandlung ist das Butyrophenon-Neuroleptikum Haloperidol Mittel der Wahl zur Sedierung. Bei Delirien auf der Grundlage einer Intoxikation mit anticholinerg wirkenden Pharmaka ist Physostigmin indiziert. Benzodiazepine, Clonidin und Clomethiazol kommen v.a. bei der Behandlung des Entzugsdelir zum Einsatz.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Applicable algebra in engineering, communication and computing 4 (1993), S. 103-145 
    ISSN: 1432-0622
    Keywords: Gröbner bases ; Polynomial ideals ; Dual bases ; Interpolation ; 0-dimensional schemes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract In this paper we study 0-dimensional polynomial ideals defined by a dual basis, i.e. as the set of polynomials which are in the kernel of a set of linear morphisms from the polynomial ring to the base field. For such ideals, we give polynomial complexity algorithms to compute a Gröbner basis, generalizing the Buchberger-Möller algorithm for computing a basis of an ideal vanishing at a set of points and the FGLM basis conversion algorithm. As an application to Algebraic Geometry, we show how to compute in polynomial time a minimal basis of an ideal of projective points.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Applicable algebra in engineering, communication and computing 4 (1993), S. 217-230 
    ISSN: 1432-0622
    Keywords: Algebraic variety decomposition ; Gröbner bases ; Systems of nonlinear equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics , Technology
    Notes: Abstract This paper deals with systems ofm polynomial equations inn unknown, which have only finitely many solutions. A method is presented which decomposes the solution set into finitely many subsets, each of them given by a system of type $$f_1 \left( {x_1 } \right) = 0,f_2 \left( {x_1 ,x_2 } \right) = 0, \ldots ,f_n \left( {x_1 , \ldots ,x_n } \right) = 0$$ . The main tools for the decomposition are from ideal theory and use symbolical manipulations. For the ideal generated by the polynomials which describe the solution set, a lexicographical Gröbner basis is required. A particular element of this basis allows the decomposition of the solution set. By a recursive application of these decomposition techniques the triangular subsystems are finally obtained. The algorithm gives even for non-finite solution sets often also usable decompositions.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Naunyn-Schmiedeberg's archives of pharmacology 335 (1987), S. 673-679 
    ISSN: 1432-1912
    Keywords: Apomorphine ; Conditioning ; Dopamine receptors ; Stereotyped behaviour ; Akinesia ptosis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Interactions between the direct (unconditioned) behavioural effects apomorphine and its conditioned effects after pairing with previously neutral stimuli were studied. Rats were injected once daily for 3–12 times, with apomorphine (2.0 mg/kg or 0.5 mg/kg or 0.07 mg/kg s.c. the dose kept constant in each series), in the presence of defined environmental stimuli (a wire cage in association with an acoustic and an olfactory stimulus) as conditional stimuli. The two larger doses produced stereotyped sniffing, licking, and gnawing, the smallest dose akinesia, ptosis, yawning and penile erections. During the conditioning phase, the drug produced most of the effects with increasing intensity and in the case of the stereotypies, there also was a shift to higher scores of stereotypy, with a reduced latency in onset of the signs. On the test day, 1 day after the last administration of apomorphine, the conditioned rats as well as “pseudoconditioned” controls were treated with a test dose of apomorphine in the presence of the conditional stimuli. Pseudoconditioned rats had been treated with the same pharmacological schedule of apomorphine and had the same familiarity with the stimuli, but both were kept separate. A test dose of 0.5 mg/kg of apomorphine produced stereotypies with a significantly higher score and shorter latency in onset in conditioned than in pseudoconditioned rats. Rats conditioned with the lowest dose showed a significantly longer total duration and a shorter latency in onset of akinesia and ptosis. In rats conditioned with the largest dose (2.0 mg/kg), administration of the lowest dose on the test day produced no stereotypies; neither the akinesia nor the ptosis were different between conditioned and pseudoconditioned rats, but yawning occurred with a higher frequency and a shorter latency in pseudoconditioned rats. When rats were conditioned with the lowest dose and tested with 0.5 mg/kg, the level of stereotypies was identical in both groups of rats, whereas akinesia and ptosis were not observed. Yawning and penile erections occurred more frequently, but for short periods only, in conditioned rats. The results showed that apomorphine-induced stereotypies, akinesia and ptosis could be conditioned, and the conditioned effects mimicked the unconditioned responses, which depended on the dose. Conditioned and unconditioned signs of an increased dopaminergic neurotransmission, observed after large doses of apomorphine, thus acted in a synergistic way; the same applied to conditioned and unconditioned signs observed after a small dose and were perhaps due to a decreased dopaminergic transmission. In contrast, when conditioned and unconditioned signs acted in a mutually antagonistic way (increased vs. decreased dopaminergic transmission), the unconditioned signs predominated.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Psychopharmacology 93 (1987), S. 182-187 
    ISSN: 1432-2072
    Keywords: Nomifensine ; B-HT 920 ; Dopamine receptors ; Conditioning ; Dopamine-mediated behaviours ; Rat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Conditioning of behavioural effects produced by two drugs acting differently upon dopaminergic neurotransmission was studied. Nomifensine and the putative dopamine autoreceptor agonist B-HT 920 produce contrasting effects on motility, namely increases in locomotor activity and stereotypies as compared to hypokinesia and ptosis. The administration of each of these drugs (US) was repeatedly associated with well-defined environmental stimuli (CS): a wire cage associated with an auditory and on olfactory stimulus. The rats were conditioned for 7 days with 20 mg/kg nomifensine IP each day. After conditioning, the rats were treated with the solvent alone in presence of the CS. Not only did sniffing and licking occur, but also gnawing, even though the latter response was not evident after acute administration of the drug or during the conditioning period. Nomifensine (20 mg/kg IP) also acutely decreased the ratio of 3,4-dihydroxyphenylacetic acid/dopamine concentrations (DOPAC/DOPAMINE); this ratio was not altered in the conditioned rats, 60 min after solvent administration in presence of the CS. Rats were conditioned with 0.02 mg/kg IP B-HT 920 daily for 8 days. During the conditioning phase, akinesia and ptosis showed a slight enhancement and a faster onset. After conditioning, when the rats were treated with the solvent alone, the majority of them showed akinesia and/or ptosis during the observation period, in contrast to pseudoconditioned controls. When these rats were conditioned or pseudoconditioned, respectively, with B-HT 920 for further 5 days using 0.02 mg/kg again, treatment with the same dose in presence of the CS produced a significant enhancement and acceleration of these signs in conditioned as compared with pseudoconditioned control rats. The results show that stereotypies producd by nomifensine and akinesia and ptosis produced by B-HT 920 can be conditioned and that, in addition, a sign of stereotypies which was not manifest during the conditioning period appeared as conditioned response.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    European journal of pediatrics 144 (1985), S. 370-373 
    ISSN: 1432-1076
    Keywords: Chronopharmacology ; Congenital adrenal hyperplasia ; Hydrocortisone ; 9α-Fluorhydrocortisone ; Treatment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract The conventional treatment of CAH with hydrocortisone (16–19 mg/m2 per day) and 9α-F-cortisol (just enough to normalise renin concentrations, started at 07:00 h) was inffective in suppressing the early morning rise of 17-OH-progesterone and in turn androgens in about 20% of our patients. The present work explored the effect of a modified dosage regimen of the drug in five patients. The schedule was: 03:00 h F 33%+9α-F-F 33%; 07:00 h F 30%; 12:00 h F 22%+9α-F-F 33%; 17:30 h F 15%+9α-F-F 33%. Monitored levels of circulating 17-OH-progesterone, testosterone, and individual urinary 17-ketosteroids showed significant improvement, which was not achieved by giving higher or later evening doses. Menarche was induced in two girls (bone age 15 years). The modified dosage schedule offers on the one hand the possibility of better management of CAH, and on the other, cuts down the risk of enhanced Cushing-like effects, which in animal models have been related frequently to dosage schedules not corresponding to the circadian rhythm. The difficulty of administering the drugs at 03:00 h should be overcome by the development of a late-releasing preparation.
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