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  • Gröbner bases  (3)
  • Androgen receptor  (2)
  • Manische Psychosen  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    H-bases for polynomial interpolation and system solving (2000)
    Springer
    Advances in computational mathematics 12 (2000), S. 335-362 
    Details
    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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018937723499
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  • 2
    Electronic Resource
    Electronic Resource
    Ontogeny of the androgen receptor in rat ventral prostate during sexual development (1987)
    Springer
    Research in experimental medicine 187 (1987), S. 287-294 
    Details
    ISSN: 1433-8580
    Keywords: Androgen receptor ; Dihydrotestosterone ; Ontogeny ; Puberty ; Prostate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Concentrations of cytosolic androgen receptor, DNA and soluble protein, contents of DHT, and in-vivo uptake of3H-DHT were measured in rat ventral prostates at 5-day intervals during sexual development. Regarding prostate weight two phases of growth were noted being separated by a period of stagnation from Day 40 to 45. Cytosolic androgen receptor, particle-bound DHT, and uptake of3H-DHT into the 100,000-g sediment showed a clear pattern: a maximum in the prepubertal animal at age Day 20, a minimum at age Day 30 (4 days after the early pubertal rise of LH, testosterone, and DHT) followed by a second maximum on Day 55 (2 days before the beginning of fertility), and a second minimum in the young mature animal on Day 70. An intermediate peak seen at age Day 37 was not significant. Neither the time-dependent profile of the cytosolic androgen receptor nor the contents and in vivo uptake of DHT were correlated to concentrations of circulating gonadotrophins, growth hormone, and sex-steroids measured during puberty in the same strain of animals. Therefore, the regulating mechanism remains unclear.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01852054
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  • 3
    Electronic Resource
    Electronic Resource
    Seasonal and diurnal changes of prostatic androgen receptor and circulating testosterone in young mature rats (1988)
    Springer
    Research in experimental medicine 188 (1988), S. 451-462 
    Details
    ISSN: 1433-8580
    Keywords: Androgen receptor ; Diurnal rhythm ; Rat ventral prostate ; Seasonal rhythm ; Testosterone
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Low- and high-salt (600 mM KCl) extractable androgen receptors were measured in the ventral prostate lobes of 70-day-old rats which were housed in constant environmental conditions (22 ± 2°C, 65 ± 5% air humidity, light 6.00 h–18.00 h). Seasonal variations were observed during 2 years, exhibiting elevations in late summer and autumn and depressions in late winter and spring time. These fluctuations were superposed by steep changes from month to month. The maximum and minimum values of the low- and high-salt extractable receptors differed within 1 year by a factor 8.5 and 2.4, respectively. Both receptor fractions showed a diurnal rhythm as measured during 1 day in January with maximal concentrations at 9.00 h (low-salt: median = 1 308 fmol/mg DNA) and minimal values at 18.00 (424) and 24.00 (230). The electrophoretic mobility in agar gel of pH 8.2 also showed a diurnal variation with maximal values at 18.00 h in either receptor fraction. Neither the seasonal nor the diurnal variations were correlated to the corresponding rhythms of serum testosterone concentrations. As steroid receptors may be regulated by neural transmission, in a final experiment the parasympathic innervation of the prostate was blocked by infiltrating the plexus pelvicus with a local anesthetic drug. One hour later, the total receptor concentration was not changed, while the ratio of low- to high-salt extractable receptors and the electrophoretic mobility of both fractions were elevated as compared to the control animals. This finding indicates that peripheral neural transmission rather than circulating testosterone may be involved in the regulation of androgen receptors in rat ventral prostate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01852003
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  • 4
    Electronic Resource
    Electronic Resource
    Gröbner bases of ideals defined by functionals with an application to ideals of projective points (1993)
    Springer
    Applicable algebra in engineering, communication and computing 4 (1993), S. 103-145 
    Details
    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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01386834
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  • 5
    Electronic Resource
    Electronic Resource
    On decomposing systems of polynomial equations with finitely many solutions (1993)
    Springer
    Applicable algebra in engineering, communication and computing 4 (1993), S. 217-230 
    Details
    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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01200146
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  • 6
    Electronic Resource
    Electronic Resource
    Action of d-propranolol in manic psychoses (1979)
    Springer
    European archives of psychiatry and clinical neuroscience 227 (1979), S. 301-317 
    Details
    ISSN: 1433-8491
    Keywords: Manic psychoses ; Beta blockers ; Manische Psychosen ; Beta-Blocker
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Zusammenfassung Im Rahmen einer doppelblind durchgeführten, placebokontrollierten Studie wurden sechs manische Patienten mit hohen Dosen doder d- und dl-Propranolol behandelt. Dabei wurden folgende Variablen gemessen: Propranolol-Dosis, Propranolol-Serumkonzentration, Pulsfrequenz, Blutdruck und Psychopathologie. In allen Fällen konnte eine klinische Besserung festgestellt werden, aber hohe Dosen waren erforderlich, um einen befriedigenden therapeutischen Effekt zu erreichen. Die antimanische Wirksamkeit von d-Propranolol erschien, verglichen mit der von dl-Propranolol, um etwa 50% geringer. Aus diesem Ergebnis kann geschlossen werden, daß wenigstens ein Teil der antimanischen Wirksamkeit von Beta-Blockern unabhängig ist von den beta-blockierenden Eigenschaften dieser Substanzen.
    Notes: Summary Six manic patients were treated with high doses of d-propranolol or d- and dl-propranolol in a double-blind, placebo controlled study. The following variables were measured: propranolol dosage, propranolol serum concentration, pulse frequency, blood pressure, and psychotic behavior. In all cases an improvement was noticed. High dosages were necessary to obtain sufficient effect. The antimanic property of d-propranolol was approximately 50% smaller than the antimanic property of dl-propranolol. We conclude that at least some part of the antimanic action of beta-blockers is independent from the beta-blocking property.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00344815
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  • 7
    Electronic Resource
    Electronic Resource
    Effect of sodium valproate on mania (1980)
    Springer
    European archives of psychiatry and clinical neuroscience 229 (1980), S. 1-16 
    Details
    ISSN: 1433-8491
    Keywords: Manic psychoses ; Valproate ; GABA ; Lithium ; Manische Psychosen ; Valproat ; GABA ; Lithium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Zusammenfassung Unter Verwendung eines doppel-blinden ABA-Designs mit Placebo-Kontrolle wurde bei 5 Patienten mit akuter Manie eine mögliche antimanische Wirkung des GABA-ergen Anticonvulsivums Valproat untersucht. Bei 4 Patienten wurde eine deutliche Besserung beobachtet, während ein Patient auf Valproat nicht reagierte. Bei 7 weiteren Patienten mit häufig wiederkehrenden Phasen einer manischen oder maniformen schizoaffektiven Psychose, die auf die Lithium-Prophylaxe nicht ansprachen, wurde eine Dauerbehandlung mit Valproat in Kombination mit kleinen Lithium-Dosen durchgeführt. (In einem Fall wurde nur Valproat, ohne Lithium, gegeben.) Im Verlauf einer Beobachtungsphase von 1 1/2–3 Jahren wurde bei keinem dieser Patienten ein Rückfall beobachtet. Es wird die Hypothese vorgeschlagen, daß grundsätzlich GABA-erge Anticonvulsiva antimanische Eigenschaften aufweisen und daß auch der spezifische antimanische Effekt von Lithium auf einer GABA-ergen Wirkungskomponente beruht. Eine mögliche pathophysiologische Bedeutung zentraler GABA-Systeme bei affektiven und organischen Psychosen (z.B. Porphyrie, Delirium tremens) wird auf der Basis pharmakopsychiatrischer Überlegungen diskutiert.
    Notes: Summary A possible antimanic property of the GABA-ergic anticonvulsant valproate was examined by use of a double-blind placebo-controlled ABA design in 5 acutely ill manic patients. In 4 cases a marked improvement was observed after valproate medication whereas one patient showed no response. Seven further patients with frequently recurrent episodes of a manic or maniform schizoaffective psychosis, irresponsive to lithium prophylaxis, were chronically treated with valproate in combination with low doses of lithium (one case only with valproate). Over an observation period of 1 1/2–3 years none of the patients exhibited a relapse. It is proposed that, in general, GABA-ergic anticonvulsants possess antimanic properties and that the specific antimanic effect of lithium is due to a GABA-ergic mode of action. The possible role of GABA-systems in affective disorders and in organic types of psychoses (e.g., porphyria-psychosis, delirium tremens) is discussed on the basis of pharmacopsychiatric considerations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00343800
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