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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of dynamics and differential equations 7 (1995), S. 73-107 
    ISSN: 1572-9222
    Keywords: Nonautonomous parabolic equations ; attractors ; gradient-like structure ; Morse decomposition ; recurrence ; zero number ; center manifolds
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Scalar one-dimensional parabolic equations with periodically time-dependent nonlinearities are considered. For each such equation, the associated discretetime dynamical system is shown to admit Morse decompositions of the global attractor whose Morse sets are contained in a given, arbitrarily small neighborhood of the set of fixed points. Existence of such Morse decompositions implies that the chain recurrent set coincides with the set of fixed points. In particular, the dynamical system has a gradient-like structure. As an application of these results, a description of the asymptotic behavior of solutions of asymptotically periodic equations is given: Any bounded solution approaches a set of periodic solutions of the limiting equation. Other possible applications to nonlocal equations and thin domain problems are discussed.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Molecular and cellular biochemistry 172 (1997), S. 149-157 
    ISSN: 1573-4919
    Keywords: cardiomyocytes ; Ca2+-homeostasis ; sarcoplasmic reticulum ; Ca2+-movements ; diabetic heart ; phrase ; word ; phrase
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract Ca2+ homeostasis plays a pivotal role in maintaining cell growth and function. Many heart diseases are related to the abnormalities in Ca2+ mobilization and extrusion. Ca2+-sensitive fluorescent dyes have been used successfully to estimate intracellular free Ca2+ ([Ca2+]i) level and the mechanisms of Ca2+ movements in living cells. This article is focused on the methodology involving the use of Fura-2/AM or free Fura-2 to measure agonist-induced Ca2+ mobilization as well as the mechanisms of changes in [Ca2+]i in cardiomyocytes. Methods involving Fura-2 technique for the measurement of Ca2+ extrusion from the cells and Ca2+ reuptake by sarcoplasmic reticulum (SR) are also described. The prevention of KCl-induced increase in the intracellular Ca2+ is shown by chelating the extracellular Ca2+ with EGTA or by the presence of Ca2+-channel inhibitors such as verapamil and diltiazem. The involvement of SR in the ATP-induced increase in intracellular Ca2+ is illustrated by the use of Ca2+-pump inhibitors, thapsigargin and cyclopiazonic acid as well as ryanodine which deplete the SR Ca2+ storage. The use of 2-nitro-4-carboxyphenyl N,N-diphenyl carbamate (NCDC), an inhibitor of inositol 1,4,5-trisphosphate (IP3) production, is described for the attenuation of phosphatidic acid (PA) induced increase in Ca2+-mobilization. The increase in intracellular Ca2+ in cardiomyocytes by PA, unlike that by KCl or ATP, was observed in diabetic myocardium. Thus, it appears that the Fura-2 method for the measurement of Ca2+ homeostasis in cardiomyocytes is useful in studying the pathophysiology and pharmacology of Ca2+ movements.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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