Chimeric Antigen Receptor T Cell Therapies: A Review of Cellular Kinetic-Pharmacodynamic Modeling Approaches
Anwesha Chaudhury PhD
Pharmacometrics, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorXu Zhu PhD
PK Sciences Oncology, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorLulu Chu PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorArdeshir Goliaei PharmD, PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorCarl H. June MD
Department of Pathology and Laboratory Medicine, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Pennsylvania, USA
Search for more papers by this authorJeffrey D. Kearns PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorCorresponding Author
Andrew M. Stein PhD
Pharmacometrics, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Corresponding Author:
Andrew M. Stein, PhD, Pharmacometrics, Novartis Institutes of BioMedical Research, 220 Massachusetts Avenue, Cambridge, MA 02139
Email: [email protected]
Search for more papers by this authorAnwesha Chaudhury PhD
Pharmacometrics, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorXu Zhu PhD
PK Sciences Oncology, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorLulu Chu PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorArdeshir Goliaei PharmD, PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorCarl H. June MD
Department of Pathology and Laboratory Medicine, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Pennsylvania, USA
Search for more papers by this authorJeffrey D. Kearns PhD
PK Sciences Modeling & Simulation, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Search for more papers by this authorCorresponding Author
Andrew M. Stein PhD
Pharmacometrics, Novartis Institutes of BioMedical Research, Cambridge, Massachusetts, USA
Corresponding Author:
Andrew M. Stein, PhD, Pharmacometrics, Novartis Institutes of BioMedical Research, 220 Massachusetts Avenue, Cambridge, MA 02139
Email: [email protected]
Search for more papers by this authorAbstract
Chimeric antigen receptor T cell (CAR-T cell) therapies have shown significant efficacy in CD19+ leukemias and lymphomas. There remain many challenges and questions for improving next-generation CAR-T cell therapies, and mathematical modeling of CAR-T cells may play a role in supporting further development. In this review, we introduce a mathematical modeling taxonomy for a set of relatively simple cellular kinetic-pharmacodynamic models that describe the in vivo dynamics of CAR-T cell and their interactions with cancer cells. We then discuss potential extensions of this model to include target binding, tumor distribution, cytokine-release syndrome, immunophenotype differentiation, and genotypic heterogeneity.
Conflicts of Interest
A.C., X.Z., L.C., A.G., J.D.K., and A.M.S. are current employees of Novartis. J.D.K. and A.M.S. hold equity interests in Novartis. C.H.J. received research support from Novartis Pharmaceuticals Corporation, received honoraria from and is a member of the board of directors or advisory committee for Western Institutional Review Board Copernicus Group and Celldex, owns equity in and is a member of a board of directors or advisory committee for Immune Design, has patents and royalties with Novartis Pharmaceuticals Corporation, and received research funding from Tmunity Therapeutics.
Supporting Information
Filename | Description |
---|---|
jcph1691-sup-0001-SuppMat.docx108.1 KB | Table S1 Figure S1 |
Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.
References
- 1Marshall S, Burghaus R, Cosson V, et al. Good practices in model-informed drug discovery and development: practice, application, and documentation. CPT Pharmacometrics Syst Pharmacol. 2016; 5(3): 93-122.
- 2Stein AM, Grupp SA, Levine JE, et al. Tisagenlecleucel model-based cellular kinetic analysis of chimeric antigen receptor–T Cells. CPT Pharmacometrics Syst Pharmacol. 2019; 8(5): 285-295.
- 3Liu C, Earp JC. FDA Axicabtagene ciloleucel Pharmacometrics Review. https://www.fda.gov/vaccines-blood-biologics/cellular-gene-therapy-products/yescarta-axicabtagene-ciloleucel. Published 2017. Accessed July 4, 2020.
- 4Mueller KT, Waldron E, Grupp SA, et al. Clinical pharmacology of tisagenlecleucel in B-cell acute lymphoblastic leukemia. Clin Cancer Res. 2018; 24(24): 6175-6184.
- 5Awasthi R, Pacaud L, Waldron E, et al. Tisagenlecleucel cellular kinetics, dose, and immunogenicity in relation to clinical factors in relapsed / refractory DLBCL. Blood Adv. 2020; 4(3): 14-18.
- 6Jaeger U, Worel N, McGuirk JP, et al. Portia: a phase 1b study evaluating safety and efficacy of tisagenlecleucel and pembrolizumab in patients with relapsed/refractory diffuse large B-cell lymphoma. 2019. https://doi.org/10.1182/blood-2019-129120.
- 7Rowland M, Tozer TN. Clinical Pharmacokinetics/Pharmacodynamics. Philadelphia: Lippincott Williams and Wilkins; 2005.
- 8Ruella M, Kenderian SS, Shestova O, et al. The addition of the btk inhibitor ibrutinib to anti-cd19 chimeric antigen receptor T Cells (CAR-T cell 19) improves responses against mantle cell lymphoma. Clin Cancer Res. 2016; 22(11): 2684-2696.
- 9Maude SL, Hucks GE, Seif AE, et al. The effect of pembrolizumab in combination with CD19-targeted chimeric antigen receptor (CAR) T cells in relapsed acute lymphoblastic leukemia (ALL). J Clin Oncol. 2017; 35(15_suppl): 103.
- 10Mestermann K, Giavridis T, Weber J, et al. The tyrosine kinase inhibitor dasatinib acts as a pharmacologic on / off switch for CAR-T cells. 2019; 2019; 11(499):eaau5907.
- 11Yu S, Yi M, Qin S, Wu K. Next generation chimeric antigen receptor T cells: safety strategies to overcome toxicity. Mol Cancer. 2019; 18(1): 125.
- 12Khot A, Matsueda S, Thomas VA, Koya RC, Shah DK. Measurement and quantitative characterization of whole-body pharmacokinetics of exogenously administered T cells in mice. J Pharmacol Exp Ther. 2019; 368(3): 503-513.
- 13Maude SL, Grupp SA. Chimeric antigen receptor T cells for sustained remissions in leukemia. N Engl J Med. 2014; 371(16): 1507–1517.
- 14Maude SL, Frey N, Shaw PA, et al. Chimeric antigen receptor T cells for sustained remissions in leukemia. N Engl J Med. 2014; 371(16): 1507-1517.
- 15Milone MC, Fish JD, Carpenito C, et al. Chimeric receptors containing CD137 signal transduction domains mediate enhanced survival of T cells and increased antileukemic efficacy in vivo. Mol Ther. 2009; 17(8): 1453-1464.
- 16Fraietta JA, Nobles CL, Sammons MA, et al. Disruption of TET2 promotes the therapeutic efficacy of CD19-targeted T cells. Nature. 2018; 558(7709): 307-312.
- 17Shah NN, Qin H, Yates B, et al. Clonal expansion of CAR-T cells harboring lentivector integration in the CBL gene following anti-CD22 CAR-T cell therapy. Blood Adv. 2019; 3(15): 2317-2322.
- 18Nobles CL, Melenhorst JJ, Frederic D, et al. CD19-targeting CAR-T cell immunotherapy outcomes correlate with genomic modification by vector integration Graphical abstract Find the latest version : CD19-targeting CAR-T cell immunotherapy outcomes correlate with genomic modification by vector integrat. J Clin Invest. 2020; 30(2): 673-685.
- 19Sahoo P, Yang X, Alber D, et al. Mathematical deconvolution of CAR-T cell proliferation and exhaustion from real-time killing assay data. J R Soc Interface. 2020; 17(162):20190734.
- 20Talkington A, Dantoin C, Durrett R. Ordinary differential equation models for adoptive immunotherapy. Bull Math Biol. 2018; 80(5): 1059-1083.
- 21De Boer RJ, Perelson AS. Quantifying T lymphocyte turnover. J Theor Biol. 2013; 327: 45-87.
- 22Antia R, Ganusov V V, Ahmed R. The role of models in understanding CD8+ T cell memory. Nat Rev Immunol. 2005; 5(2): 101-111.
- 23Buchholz VR, Flossdorf M, Hensel I, et al. Disparate individual fates compose robust CD8+ T cell immunity. Science. 2013; 340(6132): 630-635.
- 24Jameson SC, Masopust D. Understanding subset diversity in T cell memory. Immunity. 2018; 48(2): 214-226.
- 25Koparde V, Razzaq BA, Suntum T, et al. Dynamical system modeling to simulate donor T cell response to whole exome sequencing-derived recipient peptides: Understanding randomness in alloreactivity incidence following stem cell transplantation. PLoS One. 2017; 12(12): 1-24.
- 26Toor AA, Chesney A, Zweit J, Reed J, Hashmi SK. A dynamical systems perspective on chimeric antigen receptor T cell dosing. Bone Marrow Transplant. 2019; 54(3): 485-489.
- 27Kartal S. Mathematical modeling and analysis of tumor-immune system interaction by using Lotka-Volterra predator-prey like model with piecewise constant arguments. Period Eng Nat Sci. 2014; 2(1): 7-12.
- 28Antia R, Bergstromzy C, Pilyugin SS, Kaechz SM, Ahmedz R. Models of CD8+ responses: 1. What is the antigen-independent proliferation program. J Theor Biol. 2003; 221: 585-598.
- 29Jones LE, Perelson AS. Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART. Bull Math Biol. 2005; 67(6): 1227-1251.
- 30Kimmel GJ, Locke FL, Altrock PM. Evolutionary dynamics of CAR-T cell therapy. https://www.biorxiv.org/content/10.1101/717074v3. Accessed July 4, 2020.
- 31Mayer A, Zhang Y, Perelson AS, Wingreen NS. Regulation of T cell expansion by antigen presentation dynamics. Proc Natl Acad Sci U S A. 2019; 116(13): 5914-5919.
- 32Dong Y, Takeuchi Y. Mathematical modeling on helper T cells in a tumor immune system. Discrete Contin Dyn-B.2014; 19(1): 55.
- 33Kirschner D, Panetta JC. Modeling immunotherapy of the tumor - Immune interaction. J Math Biol. 1998; 37(3): 235-252.
- 34Watanabe K, Kuramitsu S, Posey AD, June CH. Expanding the therapeutic window for CAR-T cell therapy in solid tumors: The knowns and unknowns of CAR-T cell biology. Front Immunol. 2018; 9(OCT): 1-12.
- 35Liu X, Jiang S, Fang C, et al. Affinity-tuned ErbB2 or EGFR chimeric antigen receptor T cells exhibit an increased therapeutic index against tumors in mice. Cancer Res. 2015; 75(17): 3596-3607.
- 36Chmielewski M, Hombach A, Heuser C, Adams GP, Abken H. T cell activation by antibody-like immunoreceptors: increase in affinity of the single-chain fragment domain above threshold does not increase T cell activation against antigen-positive target cells but decreases selectivity. J Immunol. 2004; 173(12): 7647-7653.
- 37Mueller KT, Maude SL, Porter DL, et al. Cellular kinetics of CTL019 in relapsed/refractory B-cell acute lymphoblastic leukemia and chronic lymphocytic leukemia. Blood. 2017; 130(21): 2317-2325.
- 38Awasthi R, Mueller KT, Yanik GA, et al. Considerations for tisagenlecleucel dosing rationale. J Clin Oncol. 2018; 36(15 suppl):e15056.
- 39Singh AP, Zheng X, Lin-schmidt X, et al. Development of a quantitative relationship between CAR-affinity, antigen abundance, tumor cell depletion and CAR-T cell expansion using a multiscale systems PK-PD model. MAbs. 2020; 12(1):1688616.
- 40Louis CU, Savoldo B, Dotti G, et al. Antitumor activity and long-term fate of chimeric antigen receptor-positive T cells in patients with neuroblastoma. Blood. 2011; 118(23): 6050-6056.
- 41Fraietta JA, Lacey SF, Orlando EJ, et al. Determinants of response and resistance to CD19 chimeric antigen receptor (CAR) T cell therapy of chronic lymphocytic leukemia. Nat Med. 2018; 24(5): 563-574.
- 42Pandit A, De Boer RJ. Stochastic inheritance of division and death times determines the size and phenotype of CD8+ T cell families. Front Immunol. 2019; 10(MAR): 1-12.
- 43Hanson S, Grimes DR, Taylor-King JP, et al. Toxicity management in CAR-T cell therapy for B-ALL: mathematical modelling as a new avenue for improvement. bioRxiv. Published online 2016:049908.
- 44Hopkins B, Tucker M, Pan Y, Fang N, Huang Z Jacky. A model-based investigation of cytokine storm for T cell therapy. IFAC-PapersOnLine. 2018; 51(19): 76-79.
- 45Mostolizadeh R, Afsharnezhad Z, Marciniak-Czochra A. Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine. Numer Algebr Control Optim. 2018; 8(1): 63-80.
- 46Yiu HH, Graham AL, Stengel RF. Dynamics of a cytokine storm. PLoS One. 2012; 7(10):E45027.
- 47Hardiansyah D, Ng CM. Quantitative system pharmacology model of chimeric antigen receptor T cell therapy. Clin Transl Sci. 2019; 12(4): 343-349.
- 48Thompson E, Smith LA. The Hawkmoth effect. LSE Research Festival. http://eprints.lse.ac.uk/57935/. Published 2014. Accessed July 4, 2020.
- 49Frigg R, Bradley S, Du H, Smith A. Laplace's demon and the adventures of his apprentices. Philos Sci. 2014; 81(1): 31-59.
- 50Milberg O, Gong C, Jafarnejad M, et al. 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. 2019; 9(1): 1-17.
- 51Kosinsky Y, Dovedi SJ, Peskov K, et al. Radiation and PD-(L)1 treatment combinations: Immune response and dose optimization via a predictive systems model. J Immunother Cancer. 2018; 6(1): 1-15.
- 52Cappuccio A, Elishmereni M, Agur Z. Cancer immunotherapy by interleukin-21: potential treatment strategies evaluated in a mathematical model. Cancer Res. 2006; 66(14): 7293-7300.
- 53Gong C, Milberg O, Wang B, et al. A computational multiscale agent-based model for simulating spatio-temporal tumour immune response to PD1 and PDL1 inhibition. J R Soc Interface. 2017; 14(134):201770320.
- 54Kuemmel C, Yang Y, Zhang X, et al. Consideration of a credibility assessment framework in model-informed drug development : potential application to physiologically-based pharmacokinetic modeling and simulation. CPT Pharmacometrics Syst Pharmacol. 2020; 9(1): 21-28.
- 55Saltelli A. A short comment on statistical versus mathematical modelling. Nat Commun. 2019; 10(1): 8-10.
- 56Ramanujan S, Chan JR, Friedrich CM, Thalhauser CJ. A flexible approach for context-dependent assessment of quantitative systems pharmacology models. CPT Pharmacometrics Syst Pharmacol. 2019; 8(6): 340-343.
- 57Stein AM, Kearns JD, Kim J, Margolskee A. A pedigree table for model uncertainty assessment. https://opensource.nibr.com/xgx/Resources/Uncertainty_Assessment_Pedigree_Table.pdf. Published 2019. Accessed January 10, 2020.
- 58Norelli M, Camisa B, Barbiera G, et al. Monocyte-derived IL-1 and IL-6 are differentially required for cytokine-release syndrome and neurotoxicity due to CAR-T cells. Nat Med. 2018; 24(6): 739-748.
- 59Ruella M, Kenderian SS. Next-generation chimeric antigen receptor T cell therapy: going off the shelf. BioDrugs. 2017; 31(6): 473-481.
- 60Kuznetsov VA, Makalkin IA, Taylor MA, Perelson AS. Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis. Bull Math Biol. 1994; 56(2): 295-321.
- 61Moore H, Li NK. A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction. J Theor Biol. 2004; 227(4): 513-523.
- 62De Pillis LG, Radunskaya AE, Wiseman CL. A validated mathematical model of cell-mediated immune response to tumor growth. Cancer Res. 2005; 65(17): 7950-7958.
- 63Wodarz D. Modeling T cell responses to antigenic challenge. J Pharmacokinet Pharmacodyn. 2014; 41(5): 415-429.