Популяционное моделирование. Постановка задачи Наблюдаемые данные и ковариаты -> оценка β, b, σ,Ψ Значения параметров -> предсказание.

Slides:

Advertisements

Similar presentations

An introduction to population kinetics Didier Concordet NATIONAL VETERINARY SCHOOL Toulouse.

Advertisements

Sampling: Final and Initial Sample Size Determination

PKfit - A Pharmacokinetic Data Analysis Tool in R

Multilevel modeling in R Tom Dunn and Thom Baguley, Psychology, Nottingham Trent University

The Power of Proc Nlmixed. Introduction Proc Nlmixed fits nonlinear mixed-effects models (NLMMs) – models in which the fixed and random effects have a.

October 6, 2009 Session 6Slide 1 PSC 5940: Running Basic Multi- Level Models in R Session 6 Fall, 2009.

October 20, 2009 Session 8Slide 1 PSC 5940: Estimating the Fit of Multi-Level Models Session 8 Fall, 2009.

EECE Hybrid and Embedded Systems: Computation T. John Koo, Ph.D. Institute for Software Integrated Systems Department of Electrical Engineering and.

Prepared By: Miguel Perez Joel Shepherd.  Build a Java Program to represent the Finite- Difference Method numerically and graphically for easy visualization.

Part 6 Chapter 22 Boundary-Value Problems PowerPoints organized by Dr. Michael R. Gustafson II, Duke University All images copyright © The McGraw-Hill.

ENCODING NON LINEAR MIXED EFFECTS MODEL EBI, June 20th, 2011 Marc Lavielle INRIA Saclay.

What is the first line of the proof? 1.If a divides b, then a divides b – c. 2.If a divides b, then a divides c. 3.Assume a divides b – c. 4.Assume a divides.

Round table: Principle of dosage selection for veterinary pharmaceutical products Bayesian approach in dosage selection NATIONAL VETERINARY S C H O O L.

1 times table 2 times table 3 times table 4 times table 5 times table

Numerical Solution of Ordinary Differential Equation

CHARACTERIZING UNCERTAINTY FOR MODELING RESPONSE TO TREATMENT Tel-Aviv University Faculty of Exact Sciences Department of Statistics and Operations Research.

Description Language of Calculation Scheme for Automatic Simulation Code Generation Akira Amano College of Lifescience, Ritsumeikan University 1 CellML.

Christoffer W Tornoe Oct Population PK Model Building 1 Q & A on Session 1 What is naïve pooled analysis? –Definition –One advantage/disadvantage.

Distributed control and Smart Grids

12 апреля « День Космонавтики».

Slide no 1 Wan Hui Ong Clausen and Birgitte B. Rønn 26/ Dealing with censored data in linear and non-linear models Wan Hui Ong Clausen Birgitte Biilmann.

Lecture 5 Linear Mixed Effects Models

Part II Process Dynamics.  Process model types 1.Mathematical model 2.Fundamental and empirical model 3.Steady-state and dynamic model 4.Lumped (ODE)

Time Series Analysis, Part I. A time series is A time series is a sequence of measurements. Usually we deal with equi-spaced measurements. What distinguishes.

Introduction to PK/PD Modeling for Statisticians Part 1

Sharing Models. How Can I Exchange Models? SBML (Systems Biology Markup Language): de facto standard for representing cellular networks. A large number.

Population Pharmacokinetic Characteristics of Levosulpiride and Terbinafine in Healthy Male Korean Volunteers Yong-Bok Lee College of Pharmacy and Institute.

Web-Based R Reporting Charles Roosen, Ph D mangosolutions.

Model structure  Law of mass action applied to describe the reversible solifenacin-AGP, solifenacin-albumin and solifenacin-VBC binding  VBC positioned.

Mixed Effects Models Rebecca Atkins and Rachel Smith March 30, 2015.

Ch 1.3: Classification of Differential Equations

Slide 1 winBUGS Oct2001 NOVARTISNOVARTIS WinBugs with some PK examples Peter Blood CP-Bios Novartis Horsham Research Centre.

PERT/Activity Diagrams, Completion Probability and the Z Score

SIMULINK-Tutorial 1 Class ECES-304 Presented by : Shubham Bhat.

A. Write an equation in slope-intercept form that passes through (2,3) and is parallel to.

Model-based dose selection for next dose- finding trial 1. Introduction Exploratory clinical development trials often include biomarkers or clinical readout.

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Vibrating Beam Modeling Results Prime (Group 7) Abby, Jacob, TJ, Leo.

Historical view for CMS job monitoring CERN, Summer student 2009 Student: PAVEL ŠIKTOROV Supervisor: JULIA ANDREEVA.

Particular Solutions to Differential Equations Unit 4 Day 2.

Tables Learning Support

1.Andersson, T, et al. Clin Pharmacokinet 2001;40: Hassan-Alin, M, et al. Eur J Clin Pharmacol 2000;56: Population Pharmacokinetic Modelling.

Boyce/DiPrima 9 th ed, Ch1.3: Classification of Differential Equations Elementary Differential Equations and Boundary Value Problems, 9 th edition, by.

> xyplot(cat~time|id,dd,groups=ses,lty=1:3,type="l") > dd head(dd) id ses cat pre post time

Ordinary Differential Equations (ODEs). Objectives of Topic  Solve Ordinary Differential Equations (ODEs).  Appreciate the importance of numerical methods.

Jefferson Davis Research Analytics

CHAPTER 3 NUMERICAL METHODS.

Population (millions)

Pankaj Das, A. K. Paul, R. K. Paul

Introduction The fit of a linear function to a set of data can be assessed by analyzing residuals. A residual is the vertical distance between an observed.

Section Euler’s Method

Differential Equations

Sampling Distribution

Sampling Distribution

Equation Review Given in class 10/4/13.

Example 1: Find the magnitude and phase angle of

Introduction The fit of a linear function to a set of data can be assessed by analyzing residuals. A residual is the vertical distance between an observed.

Equation Review.

Counter Design M R Khandker.

Which equation does the function {image} satisfy ?

Sampling Distributions

3 times tables.

I can determine the different sampling techniques used in real life.

6 times tables.

Andrea Friese, Silvia Artuso, Danai Laina

Ermurachi Galina National Bureau of Statistics, Republic of Moldova

Balanced scales and equations

Presentation transcript:

Популяционное моделирование

Постановка задачи Наблюдаемые данные и ковариаты -> оценка β, b, σ,Ψ Значения параметров -> предсказание

nlme library for R Pinheiro J.C., Bates D.M. Mixed-Effect Models in S and S-PLUS, nlmeODE Tornoe C.W., Agerso H., Jonson E.N., Madse H., Nielsen H.A. Non-linear mixed-effects pharmacokinetic/pharmacodynamic modelling in NLME using differential equations

nlmeODE Data retreiving PK model nlmeODE structural function nlme call

Population modeling NLME diagram R script Code generation Estimation results nlme Java classes rJava Structural diagram: - ODE - PDE - composite - agent … Structural diagram: - ODE - PDE - composite - agent … Tabled data (dosing, group factors) Tabled data (dosing, group factors) PharmML SBML CellML … Import, export

Distribution visualization WinBUGSBioUML

Популяционное моделирование

Сравнение atol = 1E-12, rtol = 1E-8 BioUMLnlmeODE Duration (s) Loglike AIC374,354366,076 BIC Fixed effectska = ke = CL = ka = ke= CL = Random effectska = CL = ka = CL = Residual

Спасибо за внимание