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  • 1
    Electronic Resource
    Electronic Resource
    Stimulation of steroidogenesis in human fetal testes by the placenta during perifusion
    Amsterdam : Elsevier
    Journal of Steroid Biochemistry 10 (1979), S. 109-113 
    Details
    ISSN: 0022-4731
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0022-4731(79)90150-X
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Reduced insulin removal and erythrocyte insulin binding in obese children (1988)
    Springer
    European journal of pediatrics 148 (1988), S. 233-237 
    Details
    ISSN: 1432-1076
    Keywords: Insulin and C-peptide ; Metabolism ; Receptor ; Obesity ; Weight loss
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract To study the relationship between childhood obesity, weight loss, hyperinsulinaemia and the erythrocyte insulin receptor, we measured the plasma concentrations of immunoreactive insulin (IRI) and C-peptide and the binding of 125I-insulin to erythrocytes in 12 obese children with a mean age ±SD of 11.4±2.5 years and a mean relative weight score ±SD of 4.8±1.4 and 12 age-matched normal-weight children. Eight obese children were re-evaluated after 1 year's participation in a weight reduction programme. The obese children had higher fasting plasma concentrations of IRI (P〈0.01) and C-peptide (P〈0.05) and a lower C-peptide to IRI molar ratio (P〈0.01) than the normal-weight children. The obese children had in addition a reduced erythrocyte insulin binding (P〈0.05 or less) over the physiological range of circulating insulin concentration. There was a negative correlation (r=−0.60; P〈0.01) between the insulin tracer binding and the relative weight. The weight reduction programme resulted in a decrease of 1.0SD (P〈0.05) in the mean relative weight score. At the end of the therapy the obese children had lower fasting blood glucose levels (P〈0.05) and lower plasma IRI concentrations at 90 min (P〈0.05) after an oral glucose load than at the onset of therapy. There were no significant differences between the insulin binding characteristics at the commencement and at the end of the treatment. The low C-peptide to IRI molar ratio in obese children provides evidence of a decreased insulin clearance likely to contribute to their hyperinsulinaemia. The inverse relationship between insulin tracer binding and relative weight suggests a mechanism by which weight changes may be directly reflected in the peripheral insulin sensitivity. A moderate weight loss reduces hyperinsulinaemia in childhood obesity but does not normalize the impaired binding of insulin to its receptor.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00441410
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Back-and-forth shooting method for solving two-point boundary-value problems (1976)
    Springer
    Journal of optimization theory and applications 18 (1976), S. 485-498 
    Details
    ISSN: 1573-2878
    Keywords: Two-point boundary-value problems ; shooting methods ; invariant embedding ; Riccati transformation ; iterative numerical methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper proposes a special iterative method for a nonlinear TPBVP of the form $$\dot x$$ (t)=f(t, x(t),p(t)), $$\dot p$$ (t)=g(t, x(t),p(t)), subject toh(x(0),p(0))=0,e(x(T),p(T))=0. Certain stability properties of the above differential equations are taken into consideration in the method, so that the integration directions associated with these equations respectively are opposite to each other, in contrast with the conventional shooting methods. Via an embedding and a Riccati-type transformation, the TPBVP is reduced to consecutive initial-value problems of ordinary differential equations. A preliminary numerical test is given by a simple example originating in an optimal control problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932657
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Interval length continuation method for solving two-point boundary-value problems (1977)
    Springer
    Journal of optimization theory and applications 23 (1977), S. 217-227 
    Details
    ISSN: 1573-2878
    Keywords: Two-point boundary-value problems ; continuation methods ; shooting methods ; iterative numerical methods ; optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the solution of the following two-point boundary-value problem: $$\begin{gathered} \dot x(t) = f(t,x(t),p(t)), \dot p(t) = g(t,x(t),p(t)), t \in [0,T], \hfill \\ h(x(0),p(0)) = 0, p(T) = q. \hfill \\ \end{gathered} $$ We propose a combination technique consisting of the interval length continuation method and the back-and-forth shooting method. Certain alternative ways of employing continuation are discussed, and some of them are well suited for the problem under consideration. As a test for the method, a numerical example of a problem originating in optimal control is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933049
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  • 5
    Electronic Resource
    Electronic Resource
    A method for solving two-point boundary-value problems of difference equations (1978)
    Springer
    Journal of optimization theory and applications 24 (1978), S. 459-473 
    Details
    ISSN: 1573-2878
    Keywords: Two-point boundary-value problems ; difference equations ; invariant imbedding ; Riccati transformation ; iterative methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper proposes an iterative solution method for discrete-time, nonlinear, two-point boundary-value problems (TPBVP) of the form: $$\begin{gathered} x(k) - x(k - 1) = f(k, x(k - 1), p(k)), \hfill \\ p(k) - p(k - 1) = g(k, x(k - 1), p(k)), \hfill \\ \end{gathered} $$ subject to $$h(x(0), p(0)) = 0,e(x(N), p(N)) = 0.$$ It is a counterpart of a method recently proposed by the authors for similar continuous-time TPBVPs with ordinary differential equations. The method, based on invariant imbedding and a generalized Riccati transformation, reduces the TPBVP to a pair of approximate initial-value problems with ordinary difference equations. Numerical tests are run on two examples originating in optimal control problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932889
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    Paper (German National Licenses)
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