Solution and implementation of distributed lifespan models

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• 作者：Gilbert Koch (1)
  Johannes Schropp (2)
  
• 关键词：Lifespan ; Distribution ; Convolution ; Population
• 刊名：Journal of Pharmacokinetics and Pharmacodynamics
• 出版年：2013
• 出版时间：December 2013
• 年：2013
• 卷：40
• 期：6
• 页码：639-650
• 全文大小：
• 作者单位：Gilbert Koch (1)
  Johannes Schropp (2)
  
  1. Department of Pharmaceutical Sciences, State University of New York at Buffalo, 403 Kapoor Hall, Buffalo, NY, 14214, USA
  2. Department of Mathematics and Statistics, Universit?t Konstanz, PO Box 195, 78457, Konstanz, Germany
  
• ISSN：1573-8744

文摘

We consider a population where every individual has a unique lifespan. After expiring of its lifespan the individual has to leave the population. A realistic approach to describe these lifespans is by a continuous distribution. Such distributed lifespan models (DLSMs) were introduced earlier in the indirect response context and consist of the mathematical convolution operator to describe the rate of change. Therefore, DLSMs could not directly be implemented in standard PKPD software. In this work we present the solution representation of DLSMs with and without a precursor population and an implementation strategy for DLSMs in ADAPT , NONMEM and MATLAB . We fit hemoglobin measurements from literature and investigate computational properties.