连续随机成熟模型的显式公式。抗癌药物药代动力学/药效学的应用
Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics
摘要:
我们提出了一个连续时间模型的成熟和生存,作为一个房室进化模型的限制时,车厢的数量趋于无穷大。特别是当输入服从非齐次泊松过程时,我们建立了非齐次killing条件下系统输出规律的显式公式。这种方法允许讨论有限房室模型难以获得的可识别性问题。文章最后给出了一个抗癌药物药代动力学/药效学的应用实例。
英文摘要:
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular an explicit formula for the law of the system output under inhomogeneous killing and when the input follows a time-inhomogeneous Poisson process. This approach allows the discussion of identifiability issues which are of difficult access for finite compartmental models. The article ends up with an example of application for anticancer drug pharmacokinetics/pharmacodynamics.
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