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Digitale Medien

Orbites hétérocliniques au voisinage d'une bifurcation de Poincaré dégénérée pour les champs de vecteurs de ℝ2 (1989)

Clerc, René-Louis ; Hartmann, Christian ; Razafimandimby, Boniface

Springer

Monatshefte für Mathematik 108 (1989), S. 115-127

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ISSN: 1436-5081

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We consider a ℝ2-ordinary differential equation, where the fixed point (0, 0) presents a degenerate Poincaré-bifurcation of resonancek(=2k′) and dominanced(=k−1). We prove the existence of a 2-dimensional linear manifoldV in the parameter space. Λ, on which the perturbed dominant differential system (SD) possesses heteroclinic orbits between fixed points. The numerical continuation of the local stable or unstable manifolds of the saddle fixed points shows that for any neighborhood, in Λ, of a point ofV corresponding to a saddle heteroclinic orbit, there exists only one stable (resp. unstable) periodic orbit close to the stable — in the Andronov sense [1]-(resp. unstable) heteroclinic orbit. Applications are given fork=4 andk=6.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01308666

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Digitale Medien

Evaluation of daunomycin toxicity on lens epithelium in vitro (1988)

Weller, Michael ; Wiedemann, Peter ; Fischbach, Roman ; [weitere]

Springer

International ophthalmology 12 (1988), S. 127-130

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ISSN: 1573-2630

Schlagwort(e): lens epithelium ; extracapsular cataract extraction ; posterior capsule opacification ; daunomycin

Quelle: Springer Online Journal Archives 1860-2000

Thema: Medizin

Notizen: Abstract Posterior capsule opacification is the major complication of extracapsular cataract extraction (ECCE). Lens epithelial cells derived from the periphery of the lens are thought to migrate posteriorly and contribute significantly to the postoperative proliferations at the posterior pole. We have evaluated the effects of the antiproliferative drug daunomycin on cultured porcine lens epithelial cell viability and proliferation. We observed that the mitotic activity of the cells is suppressed by a single short time treatment with daunomycin at a concentration as low as 2.5 mg/l. Long term effects on the reproductive capacity of the lens epithelial cells may not be as pronounced as the inhibition of other cells examined before e.g. retinal pigment epithelium and fibroblasts. Our results indicate that daunomycin may be useful for the pharmacologic prevention of postoperative proliferations in patients treated by ECCE.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00137138

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