title: Modeling Immune Response to BK Virus Infection and Donor Kidney in Renal Transplant Recipients.
abstract: 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.
authors.affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212 USA.
authors.forename: H T
authors.initials: HT
authors.lastname: Banks
authors.affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212 USA.
authors.forename: Shuhua
authors.initials: S
authors.lastname: Hu
authors.affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212 USA.
authors.forename: Kathryn
authors.initials: K
authors.lastname: Link
authors.affiliation: Partners Human Research Committee, Massachusetts General Hospital, Boston, MA 02114 USA.
authors.forename: Eric S
authors.initials: ES
authors.lastname: Rosenberg
authors.affiliation: Partners Human Research Committee, Massachusetts General Hospital, Boston, MA 02114 USA.
authors.forename: Sheila
authors.initials: S
authors.lastname: Mitsuma
authors.affiliation: Partners Human Research Committee, Massachusetts General Hospital, Boston, MA 02114 USA.
authors.forename: Lauren
authors.initials: L
authors.lastname: Rosario
keywords: Renal transplant; human polyomavirus type 1 (BKV); inverse problem; mathematical model; sensitivity analysis