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Pharmacokinetics with R

Kyun-Seop Bae

주식회사 에이씨씨티 · 2026-12-01 출간 예정

ISBN 9791122258752 · 기술과학

전자책

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『Pharmacokinetics with R』는 2026-12-01 출간 예정입니다. 출간되면 서점 판매 링크와 함께 이메일로 한 번 알려드립니다.

책 소개

Pharmacokinetics describes what the body does to a drug; pharmacodynamics describes what

the drug does to the body. Applying either requires quantitative answers. What steady-state

peak and trough concentrations result when a drug with a 12-hour half-life is given as 200 mg

every 8 hours? Does doubling the dose double exposure? This book uses R to work through

questions such as these.

The approach is to translate equations into code and examine the calculations.

Pharmacokinetic formulas are written as R functions, plotted and checked numerically.

Changing their assumptions allows the reader to explore nonlinear kinetics, flip-flop and

multiple compartments. The code printed in the text comes directly from En/R/snippets/;

the console output and figures were generated by running those files.

Several features of the book reflect this approach.

The calculations are worked out explicitly. The examples reproduce the computations

performed by NONMEM® in R. The objective functions for FO, FOCE-I and Laplacian

estimation are compared numerically with the software’s output. The UCP logistic transformation,

Cholesky parameterization and sandwich estimator are developed in equations and

code. These details help readers investigate unexpected results.

Results are checked by independent methods. Analytic solutions are compared

with numerical solutions, direct calculations with package results, and closed-form expressions

with simulations. Simulated data provide a further check because the generating values

are known. These comparisons test both the derivation and its implementation.

Methods are considered alongside regulation and practice. The text covers the

2026 US FDA bioequivalence guidance and Potvin’s two-stage design, the FDA population

pharmacokinetics guidance and reporting conventions, and the shift from trough concentration

to AUC in vancomycin therapeutic drug monitoring. These examples connect the

calculations to their use in research and treatment.

The examples include building a TDM tool. Chapter 13 develops an algorithm

that uses population model output (θ, Ω, Σ) for individual dose adjustment. It connects the

forward model, MAP estimation, posterior uncertainty and target-based dose calculation.

The vancomycin example can be adapted to another drug, such as an aminoglycoside.

The preparatory chapters focus on the material used later. Chapters 1–4 introduce

the R, mathematics, statistics and nonlinear regression needed for the pharmacokinetic

examples. Further mathematical methods are introduced where they are applied.

iii

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목차

Preface .............................................................................. iii

Notation and Abbreviations .......................................................... xiii

I Preparation .......................................................................... 1

1 R, Git, Markdown, AI ............................................................. 3

1.1 Getting started with R ..................................................... 3

1.2 How R works ................................................................ 4

1.3 Vectors and data types ..................................................... 5

1.4 Functions and control flow ................................................. 8

1.5 Data structures ........................................................... 10

1.6 Reshaping data ............................................................ 13

1.7 Reading and writing files ................................................. 15

1.8 Graphics .................................................................. 16

1.9 Random numbers and reproducibility ........................................ 18

1.10 Git: keeping a history ................................................... 19

1.11 Markdown: what was done, and why ......................................... 20

1.12 AI: fast, but verified ................................................... 21

1.13 Where this chapter is used later ......................................... 22

References .................................................................... 23

Exercises ..................................................................... 23

2 Mathematical Foundations ........................................................ 25

2.1 Numbers and error ......................................................... 25

2.2 Exponentials and logarithms ............................................... 27

2.3 Differential equations .................................................... 29

2.4 Matrices .................................................................. 33

2.5 Numerical analysis ........................................................ 36

2.6 Approximation: the Taylor expansion ....................................... 42

2.7 Where this chapter is used later .......................................... 44

References .................................................................... 45

Exercises ..................................................................... 46

3 Statistical Foundations ......................................................... 49

3.1 Distributions: why the log-normal ......................................... 49

3.2 Likelihood ................................................................ 54

3.3 Estimation and confidence intervals ....................................... 56

3.4 Tests, the p value, and 3.84 .............................................. 59

3.5 How random numbers are generated .......................................... 62

3.6 Assuming no distribution: resampling ...................................... 64

3.7 Least squares: the archetype of regression ................................ 65

3.8 Where this chapter is used later .......................................... 66

References .................................................................... 67

Exercises ..................................................................... 68

4 Nonlinear Regression ............................................................ 71

4.1 Data and model ............................................................ 71

4.2 The objective function: what is minimized ................................. 72

4.3 Geometry: the expectation surface and the tangent plane ................... 74

4.4 Weights and the error model ............................................... 76

4.5 Initial estimates ......................................................... 78

4.6 Uncertainty: standard errors and confidence intervals ..................... 80

4.7 Reparameterization: the same model in other coordinates ................... 83

4.8 Diagnostics: the two signals the residuals send ........................... 85

4.9 Model selection and identifiability ....................................... 88

4.10 Where this chapter is used later ......................................... 94

References .................................................................... 94

Exercises ..................................................................... 95

II Pharmacokinetics ................................................................... 99

5 Introduction to Pharmacokinetics ............................................... 101

5.1 Pharmacokinetics after a single dose ..................................... 103

5.2 Pharmacokinetics under repeated dosing and constant infusion ............. 108

5.3 Compartmental models of drug disposition ................................. 113

5.4 Factors that influence pharmacokinetic processes ......................... 114

5.5 Pharmacokinetic linearity and nonlinearity ............................... 115

5.6 Dose proportionality ..................................................... 120

5.7 Drug interactions ........................................................ 124

References ................................................................... 124

Exercises .................................................................... 125

6 ADME ........................................................................... 127

6.1 Absorption ............................................................... 127

6.2 Distribution ............................................................. 135

6.3 Metabolism ............................................................... 140

6.4 Excretion ................................................................ 148

References ................................................................... 151

Exercises .........................................................

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주식회사 에이씨씨티에서 2026-12-01 출간 예정입니다 (국립중앙도서관 ISBN 서지정보 기준). ISBN 9791122258752.

『Pharmacokinetics with R』의 저자와 출판사는?

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