کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609577 1338518 2016 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A differential equation with state-dependent delay from cell population biology
ترجمه فارسی عنوان
معادله دیفرانسیل با تاخیر وابسته به دولت از زیست شناسی جمعیت سلول
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We analyze a differential equation, describing the maturation of a stem cell population, with a state-dependent delay, which is implicitly defined via the solution of an ODE. We elaborate smoothness conditions for the model ingredients, in particular vital rates, that guarantee the existence of a local semiflow and allow to specify the linear variational equation. The proofs are based on theoretical results of Hartung et al. combined with implicit function arguments in infinite dimensions. Moreover we elaborate a criterion for global existence for differential equations with state-dependent delay. To prove the result we adapt a theorem by Hale and Lunel to the C1C1-topology and use a result on metric spaces from Diekmann et al.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 7, 5 April 2016, Pages 6176–6200
نویسندگان
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