Banks H T, Hu Shuhua, Link Kathryn, Rosenberg Eric S, Mitsuma Sheila, Rosario Lauren
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212 USA.
Partners Human Research Committee, Massachusetts General Hospital, Boston, MA 02114 USA.
Inverse Probl Sci Eng. 2016 Jan 1;24(1):127-152. doi: 10.1080/17415977.2015.1017484. Epub 2015 Mar 13.
In this paper we develop and validate with bootstrapping techniques a mechanistic mathematical model of immune response to both BK virus infection and a donor kidney based on known and hypothesized mechanisms in the literature. The model presented does not capture all the details of the immune response but possesses key features that describe a very complex immunological process. We then estimate model parameters using a least squares approach with a typical set of available clinical data. Sensitivity analysis combined with asymptotic theory is used to determine the number of parameters that can be reliably estimated given the limited number of observations.
在本文中，我们基于文献中已知和假设的机制，运用自抽样技术开发并验证了一个针对BK病毒感染和供体肾的免疫反应的机理数学模型。所呈现的模型并未涵盖免疫反应的所有细节，但具备描述非常复杂免疫过程的关键特征。然后，我们使用最小二乘法和一组典型的可用临床数据来估计模型参数。结合渐近理论的敏感性分析用于确定在观测值数量有限的情况下能够可靠估计的参数数量。
