title: Mixed-effects Gaussian process functional regression models with application to dose-response curve prediction.
abstract: We propose a new semiparametric model for functional regression analysis, combining a parametric mixed-effects model with a nonparametric Gaussian process regression model, namely a mixed-effects Gaussian process functional regression model. The parametric component can provide explanatory information between the response and the covariates, whereas the nonparametric component can add nonlinearity. We can model the mean and covariance structures simultaneously, combining the information borrowed from other subjects with the information collected from each individual subject. We apply the model to dose-response curves that describe changes in the responses of subjects for differing levels of the dose of a drug or agent and have a wide application in many areas. We illustrate the method for the management of renal anaemia. An individual dose-response curve is improved when more information is included by this mechanism from the subject/patient over time, enabling a patient-specific treatment regime.
authors.affiliation: School of Mathematics and Statistics, Newcastle University, Newcastle, NE1 7RU, U.K.
authors.forename: J Q
authors.initials: JQ
authors.lastname: Shi
authors.forename: B
authors.initials: B
authors.lastname: Wang
authors.forename: E J
authors.initials: EJ
authors.lastname: Will
authors.forename: R M
authors.initials: RM
authors.lastname: West
mesh_terms: D000740:Anemia / Q000097:blood / Q000188:drug therapy / Q000209:etiology; D001499:Bayes Theorem; D056808:Biostatistics / Q000379:methods*; D004305:Dose-Response Relationship, Drug; D004921:Erythropoietin / Q000008:administration & dosage; D006454:Hemoglobins / Q000378:metabolism; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D016011:Normal Distribution; D012044:Regression Analysis; D051437:Renal Insufficiency / Q000150:complications / Q000188:drug therapy; D018709:Statistics, Nonparametric
chemical_list: C554270:EPO protein, human; D006454:Hemoglobins; D004921:Erythropoietin