Assessing the performance of QSP models: biology as the driver for validation
Open accessAbstract
Validation of a quantitative model is a critical step in establishing confidence in the model’s suitability for whatever analysis it was designed. While processes for validation are well-established in the statistical sciences, the field of quantitative systems pharmacology (QSP) has taken a more piecemeal approach to defining and demonstrating validation. Although classical statistical methods can be used in a QSP context, proper validation of a mechanistic systems model requires a more nuanced approach to what precisely is being validated, and what role said validation plays in the larger context of the analysis. In this review, we summarize current thoughts of QSP validation in the scientific community, contrast the aims of statistical validation from several contexts (including inference, pharmacometrics analysis, and machine learning) with the challenges faced in QSP analysis, and use examples from published QSP models to define different stages or levels of validation, any of which may be sufficient depending on the context at hand.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In regulatory contexts, demonstrating model performance on independent datasets, particularly those relevant to the intended population and CoU, significantly strengthens the case for its reliability.
“In regulatory contexts, demonstrating model performance on independent datasets, particularly those relevant to the intended population and CoU, significantly strengthens the case for its reliability (11).”
From Best Practices on QSP Model Reporting for Regulatory Use: perspectives from ISoP QSP SIG Working Group (2026) · cites this paper as [11]
The sections “Approach to validation in QSP is context-dependent” and “Implications for QSP modeling” say validation should fit the model’s purpose and that testing against data not used in calibration can strengthen confidence in predictions. The paper does not specifically make the claim about regulatory contexts or validation datasets matched to an intended population and context of use; it also cautions that external datasets differ in how much biological validation they provide (pages unavailable in our copy). (LLM, conf=0.84)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Roberts, J. A., Taccone, F. S., Udy, A. A., Vincent, J.-L., Jacobs, F., & Lipman, J. (2011) · Antimicrobial Agents and Chemotherapy · doi:10.1128/aac.01708-10 · Cited by 226 · see citing works
Bai, J. P. F., Schmidt, B. J., Gadkar, K. G., Damian, V., Earp, J. C., Friedrich, C., van der Graaf, P. H., Madabushi, R., Musante, C. J., Naik, K., et al. (2021) · The AAPS Journal · doi:10.1208/s12248-021-00585-x · Cited by 38 · see citing works
Negative Modeling Results: A Dime a Dozen or a Stepping Stone to Scientific Discovery?
Hendriks, B. (2013) · CPT: Pharmacometrics & Systems Pharmacology · doi:10.1038/psp.2013.28 · Cited by 6 · see citing works
Flagged first, then by citations
Research works printed but not linked: 42
- [1]Allen RJ, Rieger TR, Musante CJ (2016) Efficient generation and selection of virtual populations in quantitative systems pharmacology models. CPT Pharmacomet Syst Pharmacol 5(3):140–146. 10.1002/psp4.12063 PMC4809626 27069777 · DOI
- [2]Schmidt BJ, Casey FP, Paterson T, Chan JR (2013) Alternate virtual populations elucidate the type I interferon signature predictive of the response to rituximab in rheumatoid arthritis. BMC Bioinform 14:221. 10.1186/1471-2105-14-221 PMC3717130 23841912 · DOI
- [3]Kirouac DC (2018) How do we “validate” a QSP model? CPT Pharmacomet Syst Pharmacol 7(9):547–548. 10.1002/psp4.12310 PMC6157666 29761661 · DOI
- [4]Chelliah V, Lazarou G, Bhatnagar S, Gibbs JP, Nijsen M, Ray A, Stoll B, Thompson RA, Gulati A, Soukharev S, Yamada A, Weddell J, Sayama H, Oishi M, Wittemer-Rump S, Patel C, Niederalt C, Burghaus R, Scheerans C, Lippert J, Kabilan S, Kareva I, Belousova N, Rolfe A, Zutshi A, Chenel M, Venezia F, Fouliard S, Oberwittler H, Scholer-Dahirel A, Lelievre H, Bottino D, Collins SC, Nguyen HQ, Wang H, Yoneyama T, Zhu AZX, van der Graaf PH, Kierzek AM (2021) Quantitative systems pharmacology approaches for immuno-oncology: adding virtual patients to the development paradigm. Clin Pharmacol Ther 109(3):605–618. 10.1002/cpt.1987 32686076 PMC7983940 · DOI
- [5]Bai JPF, Earp JC, Strauss DG, Zhu H (2020) A perspective on quantitative systems pharmacology applications to clinical drug development. CPT Pharmacomet Syst Pharmacol 9(12):675–677. 10.1002/psp4.12567 PMC7762807 33159491 · DOI
- [6]Karelina T, Demin O, Nicholas T, Lu Y, Duvvuri S, Barton HA (2017) A translational systems pharmacology model for abeta kinetics in mouse, monkey, and human. CPT Pharmacomet Syst Pharmacol 6(10):666–675. 10.1002/psp4.12211 PMC5658289 28571112 · DOI
- [7]Ramanujan S, Chan JR, Friedrich CM, Thalhauser CJ (2019) A flexible approach for context-dependent assessment of quantitative systems pharmacology models. CPT Pharmacomet Syst Pharmacol 8(6):340–343. 10.1002/psp4.12409 PMC6617835 30983158 · DOI
- [8]Braakman S, Pathmanathan P, Moore H (2022) Evaluation framework for systems models. CPT Pharmacomet Syst Pharmacol 11(3):264–289. 10.1002/psp4.12755 PMC8923730 34921743 · DOI
- [9]Kirouac DC, Schaefer G, Chan J, Merchant M, Orr C, Huang SA, Moffat J, Liu L, Gadkar K, Ramanujan S (2017) Clinical responses to ERK inhibition in BRAF(V600E)-mutant colorectal cancer predicted using a computational model. NPJ Syst Biol Appl 3:14. 10.1038/s41540-017-0016-1 28649441 PMC5460205 · DOI · Paper page
- [10]Klinke DJ 2nd (2008) Integrating epidemiological data into a mechanistic model of type 2 diabetes: validating the prevalence of virtual patients. Ann Biomed Eng 36(2):321–334. 10.1007/s10439-007-9410-y 18046647 · DOI
- [11]Milberg O, Gong C, Jafarnejad M, Bartelink IH, Wang B, Vicini P, Narwal R, Roskos L, Popel AS (2019) A QSP model for predicting clinical responses to monotherapy, combination and sequential therapy following CTLA-4, PD-1, and PD-L1 checkpoint blockade. Sci Rep 9(1):11286. 10.1038/s41598-019-47802-4 31375756 PMC6677731 · DOI
- [12]Binder M, Sulaimanov N, Clausznitzer D, Schulze M, Huber CM, Lenz SM, Schloder JP, Trippler M, Bartenschlager R, Lohmann V, Kaderali L (2013) Replication vesicles are load- and choke-points in the hepatitis C virus lifecycle. PLoS Pathog 9(8):e1003561. 10.1371/journal.ppat.1003561 23990783 PMC3749965 · DOI
- [13]Riggs MM, Bennetts M, van der Graaf PH, Martin SW (2012) Integrated pharmacometrics and systems pharmacology model-based analyses to guide GnRH receptor modulator development for management of endometriosis. CPT Pharmacomet Syst Pharmacol 1:e11. 10.1038/psp.2012.10 PMC3606940 23887363 · DOI
- [14]Ouzounoglou E, Kalamatianos D, Emmanouilidou E, Xilouri M, Stefanis L, Vekrellis K, Manolakos ES (2014) In silico modeling of the effects of alpha-synuclein oligomerization on dopaminergic neuronal homeostasis. BMC Syst Biol 8:54. 10.1186/1752-0509-8-54 24885905 PMC4062111 · DOI
- [15]Dwivedi G, Fitz L, Hegen M, Martin SW, Harrold J, Heatherington A, Li C (2014) A multiscale model of interleukin-6-mediated immune regulation in Crohn’s disease and its application in drug discovery and development. CPT Pharmacomet Syst Pharmacol 3:e89. 10.1038/psp.2013.64 PMC3910013 24402116 · DOI
- [16]Ekerot P, Ferguson D, Glamsta EL, Nilsson LB, Andersson H, Rosqvist S, Visser SA (2013) Systems pharmacology modeling of drug-induced modulation of thyroid hormones in dogs and translation to human. Pharm Res 30(6):1513–1524. 10.1007/s11095-013-0989-4 23568527 · DOI
- [17]Kosinsky Y, Dovedi SJ, Peskov K, Voronova V, Chu L, Tomkinson H, Al-Huniti N, Stanski DR, Helmlinger G (2018) Radiation and PD-(L)1 treatment combinations: immune response and dose optimization via a predictive systems model. J Immunother Cancer 6(1):17. 10.1186/s40425-018-0327-9 29486799 PMC5830328 · DOI
- [18]Stodtmann S, Nader A, Polepally AR, Suleiman AA, Winzenborg I, Noertersheuser P, Ng J, Mostafa NM, Shebley M (2021) Validation of a quantitative systems pharmacology model of calcium homeostasis using elagolix phase 3 clinical trial data in women with endometriosis. Clin Transl Sci 14(4):1611–1619. 10.1111/cts.13040 33963686 PMC8301592 · DOI
- [19]Gadkar K, Budha N, Baruch A, Davis JD, Fielder P, Ramanujan S (2014) A mechanistic systems pharmacology model for prediction of LDL cholesterol lowering by PCSK9 antagonism in human dyslipidemic populations. CPT Pharmacomet Syst Pharmacol 3:e149. 10.1038/psp.2014.47 PMC4260002 25426564 · DOI · Paper page
- [20]Wang H, Ma H, Sove RJ, Emens LA, Popel AS (2021) Quantitative systems pharmacology model predictions for efficacy of atezolizumab and nab-paclitaxel in triple-negative breast cancer. J Immunother Cancer. 10.1136/jitc-2020-002100 33579739 PMC7883871 · DOI
- [21]Hardiansyah D, Ng CM (2019) Quantitative systems pharmacology model of chimeric antigen receptor T-cell therapy. Clin Transl Sci 12(4):343–349. 10.1111/cts.12636 30990958 PMC6662387 · DOI
- [23]Clausznitzer D, Pichardo-Almarza C, Relo AL, van Bergeijk J, van der Kam E, Laplanche L, Benson N, Nijsen M (2018) Quantitative systems pharmacology model for Alzheimer disease indicates targeting sphingolipid dysregulation as potential treatment option. CPT Pharmacomet Syst Pharmacol 7(11):759–770. 10.1002/psp4.12351 PMC6263662 30207429 · DOI
- [24]Ma H, Pilvankar M, Wang J, Giragossian C, Popel AS (2021) Quantitative systems pharmacology modeling of PBMC-humanized mouse to facilitate preclinical Immuno-oncology drug development. ACS Pharmacol Transl Sci 4(1):213–225. 10.1021/acsptsci.0c00178 33615174 PMC7887858 · DOI
- [25]Hosseini I, Gadkar K, Stefanich E, Li CC, Sun LL, Chu YW, Ramanujan S (2020) Mitigating the risk of cytokine release syndrome in a phase I trial of CD20/CD3 bispecific antibody mosunetuzumab in NHL: impact of translational system modeling. NPJ Syst Biol Appl 6(1):28. 10.1038/s41540-020-00145-7 32859946 PMC7455723 · DOI
- [26]Betts A, Haddish-Berhane N, Shah DK, van der Graaf PH, Barletta F, King L, Clark T, Kamperschroer C, Root A, Hooper A, Chen X (2019) A translational quantitative systems pharmacology model for CD3 bispecific molecules: application to quantify T cell-mediated tumor cell killing by P-Cadherin LP DART((R)). AAPS J 21(4):66. 10.1208/s12248-019-0332-z 31119428 PMC6531394 · DOI
- [27]Chen X, Hickling TP, Vicini P (2014) A mechanistic, multiscale mathematical model of immunogenicity for therapeutic proteins: part 2-model applications. CPT Pharmacomet Syst Pharmacol 3:e134. 10.1038/psp.2014.31 PMC4211264 25184734 · DOI · Paper page
- [28]Biliouris K, Lavielle M, Trame MN (2015) MatVPC: a user-friendly MATLAB-based tool for the simulation and evaluation of systems pharmacology models. CPT Pharmacomet Syst Pharmacol 4(9):547–557. 10.1002/psp4.12011 PMC4592534 26451334 · DOI
- [29]Hasegawa C, Duffull SB (2017) Selection and qualification of simplified QSP models when using model order reduction techniques. AAPS J 20(1):2. 10.1208/s12248-017-0170-9 29181592 · DOI
- [30]Bansal L, Nichols EM, Howsmon DP, Neisen J, Bessant CM, Cunningham F, Petit-Frere S, Ludbrook S, Damian V (2022) Mathematical modeling of complement pathway dynamics for target validation and selection of drug modalities for complement therapies. Front Pharmacol 13:855743. 10.3389/fphar.2022.855743 35517827 PMC9061988 · DOI
- [31]Helmlinger G, Sokolov V, Peskov K, Hallow KM, Kosinsky Y, Voronova V, Chu L, Yakovleva T, Azarov I, Kaschek D, Dolgun A, Schmidt H, Boulton DW, Penland RC (2019) Quantitative systems pharmacology: an exemplar model-building workflow with applications in cardiovascular, metabolic, and oncology drug development. CPT Pharmacomet Syst Pharmacol 8(6):380–395. 10.1002/psp4.12426 PMC6617832 31087533 · DOI
- [32]Cheng Y, Thalhauser CJ, Smithline S, Pagidala J, Miladinov M, Vezina HE, Gupta M, Leil TA, Schmidt BJ (2017) QSP Toolbox: computational implementation of Integrated Workflow Components for deploying Multi-Scale mechanistic models. AAPS J 19(4):1002–1016. 10.1208/s12248-017-0100-x 28540623 · DOI · Paper page
- [33]Gareth James DWTHRT (2013) An introduction to statistical learning: with applications in R. Springer, New York
- [34]Colby E, Bair E (2013) Cross-validation for nonlinear mixed effects models. J Pharmacokinet Pharmacodyn 40(2):243–252. 10.1007/s10928-013-9313-5 23532511 PMC3668859 · DOI
- [36]Dhaese SAM, Farkas A, Colin P, Lipman J, Stove V, Verstraete AG, Roberts JA, De Waele JJ (2019) Population pharmacokinetics and evaluation of the predictive performance of pharmacokinetic models in critically ill patients receiving continuous infusion meropenem: a comparison of eight pharmacokinetic models. J Antimicrob Chemother 74(2):432–441. 10.1093/jac/dky434 30376103 · DOI
- [37]Ryu S, Jung WJ, Jiao Z, Chae J-W, Yun H-y (2020) External validation of the predictive performance of population pharmacokinetic models for phenobarbital in pediatric patients. medRxiv. 10.1101/2020.09.10.20192005 · DOI
- [38]Goodfellow Ia (2016) Deep learning. The MIT Press, Cambridge
- [39]Gessert N, Nielsen M, Shaikh M, Werner R, Schlaefer A (2020) Skin lesion classification using ensembles of multi-resolution EfficientNets with meta data. MethodsX 7:100864. 10.1016/j.mex.2020.100864 32292713 PMC7150512 · DOI
- [40]Zhang C, Bengio S, Hardt M, Recht B, Vinyals O (2021) Understanding deep learning (still) requires rethinking generalization. Commun ACM 64(3):107–115. 10.1145/3446776 · DOI · Paper page
- [41]Belkin M, Hsu D, Ma S, Mandal S (2019) Reconciling modern machine-learning practice and the classical bias-variance trade-off. Proc Natl Acad Sci USA 116(32):15849–15854. 10.1073/pnas.1903070116 31341078 PMC6689936 · DOI · Paper page
- [42]Roesch E, Rackauckas C, Stumpf MPH (2021) Collocation based training of neural ordinary differential equations. Stat Appl Genet Mol Biol 20(2):37–49. 10.1515/sagmb-2020-0025 34237805 · DOI
- [44]Hamuro L, Tirucherai GS, Crawford SM, Nayeem A, Pillutla RC, DeSilva BS, Leil TA, Thalhauser CJ (2019) Evaluating a Multiscale mechanistic model of the Immune System to predict human immunogenicity for a Biotherapeutic in Phase 1. AAPS J 21(5):94. 10.1208/s12248-019-0361-7 31342199 · DOI
- [45]Chen X, Hickling TP, Vicini P (2014) A mechanistic, multiscale mathematical model of immunogenicity for therapeutic proteins: part 1-theoretical model. CPT Pharmacomet Syst Pharmacol 3:e133. 10.1038/psp.2014.30 PMC4211265 25184733 · DOI
Cited by
Sorted by citations
Saini, A., & Farnoud, A. (2025) · CPT: Pharmacometrics & Systems Pharmacology · doi:10.1002/psp4.70127 · Cited by 7 · see citing works
Zaph, S., Shtylla, B., Chang, S., Cheng, Y., Gong, J. Q. X., Gulati, A., Hansson, E., Kulesza, A., Ratushny, A. V., Reali, F., et al. (2026) · arXiv · doi:10.48550/arxiv.2604.07811
Self-citation
- Authors
- Singh, F. A., Afzal, N., Smithline, S. J., & Thalhauser, C. J.
- Affiliations
- Genmab (United States) (US)
- Corresponding author
- Thalhauser, Craig J.
- Venue
- Journal of Pharmacokinetics and Pharmacodynamics
- Published
- 2023-06-29
- Volume
- 51
- Issue
- 5
- Pages
- 533-542
- ISSN
- 1567-567X (ISSN-L)
- 1573-8744
- PMC
- PMC11576624
- OpenAlex
- W4382600581
- Cited by
- 15
- References
- 3
- Citations by year
- 2026: 5 · 2025: 8 · 2024: 2
- FWCI
- 0.62
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Journal of Pharmacokinetics and Pharmacodynamics (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
- Health Sciences › Medicine › Pediatrics, Perinatology and Child Health › Pharmaceutical studies and practices
- Keywords
- quantitative systems pharmacology, model validation, statistical validation, pharmacometrics, machine learning validation, model evaluation
- MeSH terms
- Machine Learning, Animals, Humans, Models, Biological, Reproducibility of Results, Systems Biology, Validation Studies as Topic
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review