{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T20:20:09Z","timestamp":1783714809500,"version":"3.55.0"},"reference-count":76,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T00:00:00Z","timestamp":1782259200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T00:00:00Z","timestamp":1782259200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1007\/s11538-026-01692-6","type":"journal-article","created":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T16:41:35Z","timestamp":1782319295000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Modeling, Analysis, and Optimal Control of Leukemic Cell Population Dynamics Under Therapy"],"prefix":"10.1007","volume":"88","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-6997-1193","authenticated-orcid":false,"given":"Pauline","family":"Mazel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fr\u00e9d\u00e9ric","family":"Grognard","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thomas","family":"Stiehl","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alain","family":"Rapaport","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Walid","family":"Djema","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,6,24]]},"reference":[{"issue":"11","key":"1692_CR1","doi-asserted-by":"publisher","first-page":"2128","DOI":"10.1016\/j.mcm.2008.07.014","volume":"49","author":"M Adimy","year":"2009","unstructured":"Adimy M, Crauste F (2009) Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations. Math Comput Model 49(11):2128\u20132137. https:\/\/doi.org\/10.1016\/j.mcm.2008.07.014","journal-title":"Math Comput Model"},{"issue":"8","key":"1692_CR2","doi-asserted-by":"publisher","first-page":"2321","DOI":"10.1007\/s11538-006-9121-9","volume":"68","author":"M Adimy","year":"2006","unstructured":"Adimy M, Crauste F, Ruan S (2006) Modelling Hematopoiesis Mediated by Growth Factors With Applications to Periodic Hematological Diseases. Bull Math Biol 68(8):2321\u20132351. https:\/\/doi.org\/10.1007\/s11538-006-9121-9","journal-title":"Bull Math Biol"},{"issue":"3","key":"1692_CR3","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1142\/S0218339008002599","volume":"16","author":"M Adimy","year":"2008","unstructured":"Adimy M, Crauste F, El Abdllaoui A (2008) Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia. J Biol Syst 16(3):395\u2013424. https:\/\/doi.org\/10.1142\/S0218339008002599","journal-title":"J Biol Syst"},{"key":"1692_CR4","doi-asserted-by":"publisher","first-page":"204062072098664","DOI":"10.1177\/2040620720986646","volume":"12","author":"I Aldoss","year":"2021","unstructured":"Aldoss I, Pullarkat V, Stein AS (2021) Venetoclax-containing regimens in acute myeloid leukemia. Therapeutic Advances in Hematology 12:2040620720986646. https:\/\/doi.org\/10.1177\/2040620720986646","journal-title":"Therapeutic Advances in Hematology"},{"issue":"5","key":"1692_CR5","doi-asserted-by":"publisher","first-page":"1084","DOI":"10.1007\/s11538-017-0272-7","volume":"80","author":"A Besse","year":"2018","unstructured":"Besse A, Clapp GD, Bernard S, Nicolini FE, Levy D, Lepoutre T (2018) Stability Analysis of a Model of Interaction Between the Immune System and Cancer Cells in Chronic Myelogenous Leukemia. Bull Math Biol 80(5):1084\u20131110. https:\/\/doi.org\/10.1007\/s11538-017-0272-7","journal-title":"Bull Math Biol"},{"issue":"3","key":"1692_CR6","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s40778-021-00191-9","volume":"7","author":"M Brunetti","year":"2021","unstructured":"Brunetti M, Mackey MC, Craig M (2021) Understanding Normal and Pathological Hematopoietic Stem Cell Biology Using Mathematical Modelling. Current Stem Cell Reports 7(3):109\u2013120. https:\/\/doi.org\/10.1007\/s40778-021-00191-9","journal-title":"Current Stem Cell Reports"},{"issue":"4","key":"1692_CR7","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1111\/j.1365-2184.1970.tb00340.x","volume":"3","author":"FJ Burns","year":"1970","unstructured":"Burns FJ, Tannock IF (1970) On the existence of a G0-phase in the cell cycle. Cell Tissue Kinet 3(4):321\u2013334. https:\/\/doi.org\/10.1111\/j.1365-2184.1970.tb00340.x","journal-title":"Cell Tissue Kinet"},{"issue":"7","key":"1692_CR8","doi-asserted-by":"publisher","first-page":"2349","DOI":"10.1158\/0008-5472.CAN-07-5528","volume":"68","author":"J Cai","year":"2008","unstructured":"Cai J, Damaraju VL, Groulx N, Mowles D, Peng Y, Robins MJ, Cass CE, Gros P (2008) Two distinct molecular mechanisms underlying cytarabine resistance in human leukemic cells. Can Res 68(7):2349\u20132357. https:\/\/doi.org\/10.1158\/0008-5472.CAN-07-5528","journal-title":"Can Res"},{"key":"1692_CR9","doi-asserted-by":"publisher","unstructured":"Caillau J-B, Cots O, Gergaud J, Martinon P, Sed S (2024) OptimalControl.jl: a Julia package to model and solve optimal control problems with ODE\u2019s https:\/\/doi.org\/10.5281\/zenodo.13336563","DOI":"10.5281\/zenodo.13336563"},{"issue":"2","key":"1692_CR10","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.jtbi.2005.03.034","volume":"237","author":"C Colijn","year":"2005","unstructured":"Colijn C, Mackey MC (2005) A mathematical model of hematopoiesis: II. Cyclical neutropenia. J Theor Biol 237(2):133\u2013146. https:\/\/doi.org\/10.1016\/j.jtbi.2005.03.034","journal-title":"J Theor Biol"},{"issue":"2","key":"1692_CR11","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1182\/blood.2021014901","volume":"141","author":"S de Botton","year":"2023","unstructured":"de Botton S, Montesinos P, Schuh AC, Papayannidis C, Vyas P, Wei AH, Ommen H, Semochkin S, Kim H-J, Larson RA, Koprivnikar J, Frankfurt O, Thol F, Chromik J, Byrne J, Pigneux A, Thomas X, Salamero O, Vidriales MB, Doronin V, D\u00f6hner H, Fathi AT, Laille E, Yu X, Hasan M, Martin-Regueira P, DiNardo CD (2023) Enasidenib vs conventional care in older patients with late-stage mutant-IDH2 relapsed\/refractory AML: A randomized phase 3 trial. Blood 141(2):156\u2013167. https:\/\/doi.org\/10.1182\/blood.2021014901","journal-title":"Blood"},{"issue":"3","key":"1692_CR12","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1371\/journal.pcbi.0030053","volume":"3","author":"D Dingli","year":"2007","unstructured":"Dingli D, Traulsen A, Michor F (2007) (A)Symmetric Stem Cell Replication and Cancer. PLoS Comput Biol 3(3):53. https:\/\/doi.org\/10.1371\/journal.pcbi.0030053","journal-title":"PLoS Comput Biol"},{"key":"1692_CR13","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.sysconle.2017.01.007","volume":"102","author":"W Djema","year":"2017","unstructured":"Djema W, Mazenc F, Bonnet C (2017) Stability analysis and robustness results for a nonlinear system with distributed delays describing hematopoiesis. Systems & Control Letters 102:93\u2013101. https:\/\/doi.org\/10.1016\/j.sysconle.2017.01.007","journal-title":"Systems & Control Letters"},{"issue":"1","key":"1692_CR14","doi-asserted-by":"publisher","first-page":"13312","DOI":"10.1016\/j.ifacol.2017.08.1331","volume":"50","author":"W Djema","year":"2017","unstructured":"Djema W, \u00d6zbay H, Bonnet C, Fridman E, Mazenc F, Clairambault J (2017) Analysis of Blood Cell Production under Growth Factors Switching. IFAC-PapersOnLine 50(1):13312\u201313317. https:\/\/doi.org\/10.1016\/j.ifacol.2017.08.1331","journal-title":"IFAC-PapersOnLine"},{"key":"1692_CR15","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.jtbi.2018.03.038","volume":"449","author":"W Djema","year":"2018","unstructured":"Djema W, Bonnet C, Mazenc F, Clairambault J, Fridman E, Hirsch P, Delhommeau F (2018) Control in dormancy or eradication of cancer stem cells: Mathematical modeling and stability issues. J Theor Biol 449:103\u2013123. https:\/\/doi.org\/10.1016\/j.jtbi.2018.03.038","journal-title":"J Theor Biol"},{"key":"1692_CR16","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.109804","volume":"132","author":"W Djema","year":"2021","unstructured":"Djema W, Giraldi L, Maslovskaya S, Bernard O (2021) Turnpike features in optimal selection of species represented by quota models. Automatica 132:109804. https:\/\/doi.org\/10.1016\/j.automatica.2021.109804","journal-title":"Automatica"},{"issue":"3","key":"1692_CR17","doi-asserted-by":"publisher","first-page":"461","DOI":"10.3390\/pr10030461","volume":"10","author":"W Djema","year":"2022","unstructured":"Djema W, Bayen T, Bernard O (2022) Optimal Darwinian Selection of Microorganisms with Internal Storage. Processes 10(3):461. https:\/\/doi.org\/10.3390\/pr10030461","journal-title":"Processes"},{"issue":"1","key":"1692_CR18","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1137\/22M1469067","volume":"7","author":"R Dong","year":"2023","unstructured":"Dong R, Goodbrake C, Harrington HA, Pogudin G (2023) Differential elimination for dynamical models via projections with applications to structural identifiability. SIAM Journal on Applied Algebra and Geometry 7(1):194\u2013235","journal-title":"SIAM Journal on Applied Algebra and Geometry"},{"key":"1692_CR19","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/bs.hna.2021.12.011","volume":"23","author":"T Faulwasser","year":"2022","unstructured":"Faulwasser T, Gr\u00fcne L (2022) Turnpike properties in optimal control: An overview of discrete-time and continuous-time results. Handb Numer Anal 23:367\u2013400. https:\/\/doi.org\/10.1016\/bs.hna.2021.12.011","journal-title":"Handb Numer Anal"},{"key":"1692_CR20","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1016\/j.automatica.2017.03.012","volume":"81","author":"T Faulwasser","year":"2017","unstructured":"Faulwasser T, Korda M, Jones CN, Bonvin D (2017) On Turnpike and Dissipativity Properties of Continuous-Time Optimal Control Problems. Automatica 81:297\u2013304. https:\/\/doi.org\/10.1016\/j.automatica.2017.03.012. arXiv:1509.07315","journal-title":"Automatica"},{"issue":"4","key":"1692_CR21","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1007\/s00498-022-00321-6","volume":"34","author":"T Faulwasser","year":"2022","unstructured":"Faulwasser T, Fla\u00dfkamp K, Ober-Bl\u00f6baum S, Schaller M, Worthmann K (2022) Manifold turnpikes, trims, and symmetries. Math Control Signals Systems 34(4):759\u2013788. https:\/\/doi.org\/10.1007\/s00498-022-00321-6","journal-title":"Math Control Signals Systems"},{"issue":"1","key":"1692_CR22","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s00285-008-0165-3","volume":"58","author":"C Foley","year":"2009","unstructured":"Foley C, Mackey MC (2009) Dynamic hematological disease: A review. J Math Biol 58(1):285\u2013322. https:\/\/doi.org\/10.1007\/s00285-008-0165-3","journal-title":"J Math Biol"},{"key":"1692_CR23","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.sysconle.2015.09.006","volume":"88","author":"E Fridman","year":"2016","unstructured":"Fridman E, Bonnet C, Mazenc F, Djema W (2016) Stability of the cell dynamics in acute myeloid leukemia. Systems & Control Letters 88:91\u2013100. https:\/\/doi.org\/10.1016\/j.sysconle.2015.09.006","journal-title":"Systems & Control Letters"},{"issue":"1","key":"1692_CR24","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1038\/s41540-025-00511-3","volume":"11","author":"JL Gevertz","year":"2025","unstructured":"Gevertz JL, Greene JM, Prosperi S, Comandante-Lou N, Sontag ED (2025) Understanding therapeutic tolerance through a mathematical model of drug-induced resistance. npj Systems Biology and Applications 11(1):30. https:\/\/doi.org\/10.1038\/s41540-025-00511-3","journal-title":"npj Systems Biology and Applications"},{"issue":"7","key":"1692_CR25","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1016\/S0006-2952(98)00307-4","volume":"57","author":"D Gewirtz","year":"1999","unstructured":"Gewirtz D (1999) A critical evaluation of the mechanisms of action proposed for the antitumor effects of the anthracycline antibiotics adriamycin and daunorubicin. Biochem Pharmacol 57(7):727\u2013741. https:\/\/doi.org\/10.1016\/S0006-2952(98)00307-4","journal-title":"Biochem Pharmacol"},{"key":"1692_CR26","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.sysconle.2016.01.003","volume":"90","author":"L Gr\u00fcne","year":"2016","unstructured":"Gr\u00fcne L, M\u00fcller MA (2016) On the relation between strict dissipativity and turnpike properties. Systems & Control Letters 90:45\u201353. https:\/\/doi.org\/10.1016\/j.sysconle.2016.01.003","journal-title":"Systems & Control Letters"},{"issue":"2","key":"1692_CR27","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1137\/1037043","volume":"37","author":"RF Hartl","year":"1995","unstructured":"Hartl RF, Sethi SP, Vickson RG (1995) A Survey of the Maximum Principles for Optimal Control Problems with State Constraints. SIAM Rev 37(2):181\u2013218. https:\/\/doi.org\/10.1137\/1037043","journal-title":"SIAM Rev"},{"issue":"4","key":"1692_CR28","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1186\/s12918-018-0561-2","volume":"12","author":"J Jiao","year":"2018","unstructured":"Jiao J, Luo M, Wang R (2018) Feedback regulation in a stem cell model with acute myeloid leukaemia. BMC Syst Biol 12(4):43. https:\/\/doi.org\/10.1186\/s12918-018-0561-2","journal-title":"BMC Syst Biol"},{"issue":"9","key":"1692_CR29","doi-asserted-by":"publisher","first-page":"72847","DOI":"10.1371\/journal.pone.0072847","volume":"8","author":"NL Komarova","year":"2013","unstructured":"Komarova NL (2013) Principles of Regulation of Self-Renewing Cell Lineages. PLoS ONE 8(9):72847. https:\/\/doi.org\/10.1371\/journal.pone.0072847","journal-title":"PLoS ONE"},{"key":"1692_CR30","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1016\/j.apm.2024.01.048","volume":"129","author":"R Kumar","year":"2024","unstructured":"Kumar R, Shah SR, Stiehl T (2024) Understanding the impact of feedback regulations on blood cell production and leukemia dynamics using model analysis and simulation of clinically relevant scenarios. Appl Math Model 129:340\u2013389. https:\/\/doi.org\/10.1016\/j.apm.2024.01.048","journal-title":"Appl Math Model"},{"issue":"1","key":"1692_CR31","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1111\/joim.70037","volume":"299","author":"MK Larsen","year":"2026","unstructured":"Larsen MK, Skov V, Kj\u00e6r L, Eickhardt-Dalb\u00f8ge CS, Knudsen TA, Kristiansen MH, S\u00f8rensen AL, Cordua S, Wienecke T, Jensen MG, Andersen M, Ottesen JT, Gudmand-H\u00f8yer J, Snyder JA, Poulsen HE, Stiehl T, Ellervik C, Hasselbalch HC (2026) The JAK2V617F and CALR mutations and risk of cancer, cardiovascular diseases, and all-cause mortality. J Intern Med 299(1):79\u201394. https:\/\/doi.org\/10.1111\/joim.70037","journal-title":"J Intern Med"},{"issue":"3","key":"1692_CR32","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.3934\/dcdsb.2023141","volume":"29","author":"U Ledzewicz","year":"2024","unstructured":"Ledzewicz U, Maurer H, Sch\u00e4ttler H (2024) Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer. Discrete and Continuous Dynamical Systems - B 29(3):1481\u20131500. https:\/\/doi.org\/10.3934\/dcdsb.2023141","journal-title":"Discrete and Continuous Dynamical Systems - B"},{"key":"1692_CR33","doi-asserted-by":"publisher","unstructured":"Liebscher S (2015) Bifurcation Without Parameters. Lecture Notes in Mathematics, vol. 2117. Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-319-10777-6","DOI":"10.1007\/978-3-319-10777-6"},{"issue":"4","key":"1692_CR34","doi-asserted-by":"publisher","first-page":"6373","DOI":"10.1007\/s00208-024-03081-7","volume":"391","author":"A L\u00f3pez-Nieto","year":"2025","unstructured":"L\u00f3pez-Nieto A, Lappicy P, Vassena N, Stuke H, Dai J-Y (2025) Hybrid bifurcations: Periodicity from eliminating a line of equilibria. Math Ann 391(4):6373\u20136399. https:\/\/doi.org\/10.1007\/s00208-024-03081-7. arXiv:2310.19604","journal-title":"Math Ann"},{"issue":"5","key":"1692_CR35","doi-asserted-by":"publisher","first-page":"941","DOI":"10.1182\/blood.V51.5.941.941","volume":"51","author":"MC Mackey","year":"1978","unstructured":"Mackey MC (1978) Unified Hypothesis for the Origin of Aplastic Anemia and Periodic Hematopoiesis. Blood 51(5):941\u2013956. https:\/\/doi.org\/10.1182\/blood.V51.5.941.941","journal-title":"Blood"},{"issue":"3","key":"1692_CR36","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1089\/scd.2008.0143","volume":"18","author":"A Marciniak-Czochra","year":"2009","unstructured":"Marciniak-Czochra A, Stiehl T, Ho AD, J\u00e4ger W, Wagner W (2009) Modeling of asymmetric cell division in hematopoietic stem cells\u2013regulation of self-renewal is essential for efficient repopulation. Stem cells and development 18(3):377\u2013386. https:\/\/doi.org\/10.1089\/scd.2008.0143","journal-title":"Stem cells and development"},{"key":"1692_CR37","doi-asserted-by":"publisher","unstructured":"Mazel P, Djema W, Grognard F (2024) Optimal control for a combination of cancer therapies in a model of cell competition. In: 2024 IEEE 63rd Conference on Decision and Control (CDC), pp. 1351\u20131357. https:\/\/doi.org\/10.1109\/CDC56724.2024.10886792","DOI":"10.1109\/CDC56724.2024.10886792"},{"issue":"20","key":"1692_CR38","doi-asserted-by":"publisher","first-page":"5177","DOI":"10.1182\/bloodadvances.2025016399","volume":"9","author":"P Montesinos","year":"2025","unstructured":"Montesinos P, Marchione DM, Recher C, Heuser M, Vives S, Zarzycka E, Wang J, Riva M, Calado RT, Schuh AC, Yeh S-P, Tron AE, Hui J, Gianolio DA, Choe S, Patel P, De Botton S, DiNardo CD, D\u00f6hner H (2025) Long-term results from the AGILE study of azacitidine plus ivosidenib vs placebo in newly diagnosed IDH1-mutated AML. Blood Adv 9(20):5177\u20135189. https:\/\/doi.org\/10.1182\/bloodadvances.2025016399","journal-title":"Blood Adv"},{"issue":"05","key":"1692_CR39","doi-asserted-by":"publisher","first-page":"4818","DOI":"10.3934\/mbe.2019243","volume":"16","author":"TN Nguyen","year":"2019","unstructured":"Nguyen TN, Clairambault J, Jaffredo T, Perthame B, Salort D (2019) Adaptive dynamics of hematopoietic stem cells and their supporting stroma: A model and mathematical analysis. Math Biosci Eng 16(05):4818. https:\/\/doi.org\/10.3934\/mbe.2019243","journal-title":"Math Biosci Eng"},{"issue":"2","key":"1692_CR40","doi-asserted-by":"publisher","first-page":"21","DOI":"10.3390\/mca23020021","volume":"23","author":"SI Oke","year":"2018","unstructured":"Oke SI, Matadi MB, Xulu SS (2018) Optimal control analysis of a mathematical model for breast cancer. Mathematical and Computational Applications 23(2):21. https:\/\/doi.org\/10.3390\/mca23020021","journal-title":"Mathematical and Computational Applications"},{"key":"1692_CR41","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1016\/j.compchemeng.2013.02.003","volume":"57","author":"E Pefani","year":"2013","unstructured":"Pefani E, Panoskaltsis N, Mantalaris A, Georgiadis MC, Pistikopoulos EN (2013) Design of optimal patient-specific chemotherapy protocols for the treatment of acute myeloid leukemia (AML). Computers & Chemical Engineering 57:187\u2013195. https:\/\/doi.org\/10.1016\/j.compchemeng.2013.02.003","journal-title":"Computers & Chemical Engineering"},{"key":"1692_CR42","doi-asserted-by":"publisher","unstructured":"Peyre L, P\u00e9r\u00e9 M, Meyer M, Bian B, Moureau-Barbato M, Djema W, Mari B, Vassaux G, Roux J (2025) Transition between cell states of sensitivity reveals molecular vulnerability of drug-tolerant cells. Mol Syst Biol:1\u201329. https:\/\/doi.org\/10.1038\/s44320-025-00150-0","DOI":"10.1038\/s44320-025-00150-0"},{"key":"1692_CR43","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1016\/j.matpur.2017.10.007","volume":"116","author":"C Pouchol","year":"2018","unstructured":"Pouchol C, Clairambault J, Lorz A, Tr\u00e9lat E (2018) Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. Journal de Math\u00e9matiques Pures et Appliqu\u00e9es 116:268\u2013308. https:\/\/doi.org\/10.1016\/j.matpur.2017.10.007","journal-title":"Journal de Math\u00e9matiques Pures et Appliqu\u00e9es"},{"issue":"4","key":"1692_CR44","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1002\/ajh.27246","volume":"99","author":"KW Pratz","year":"2024","unstructured":"Pratz KW, Jonas BA, Pullarkat V, Thirman MJ, Garcia JS, D\u00f6hner H, R\u00e9cher C, Fiedler W, Yamamoto K, Wang J, Yoon S-S, Wolach O, Yeh S-P, Leber B, Esteve J, Mayer J, Porkka K, Ill\u00e9s \u00c1, Lemoli RM, Turgut M, Ku G, Miller C, Zhou Y, Zhang M, Chyla B, Potluri J, DiNardo CD (2024) Long-term follow-up of VIALE-A: Venetoclax and azacitidine in chemotherapy-ineligible untreated acute myeloid leukemia. Am J Hematol 99(4):615\u2013624. https:\/\/doi.org\/10.1002\/ajh.27246","journal-title":"Am J Hematol"},{"issue":"1","key":"1692_CR45","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1051\/mmnp\/201611106","volume":"11","author":"L Pujo-Menjouet","year":"2016","unstructured":"Pujo-Menjouet L (2016) Blood Cell Dynamics: Half of a Century of Modelling. Mathematical Modelling of Natural Phenomena 11(1):92\u2013115. https:\/\/doi.org\/10.1051\/mmnp\/201611106","journal-title":"Mathematical Modelling of Natural Phenomena"},{"issue":"2","key":"1692_CR46","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1137\/030600473","volume":"4","author":"L Pujo-Menjouet","year":"2005","unstructured":"Pujo-Menjouet L, Bernard S, Mackey MC (2005) Long Period Oscillations in a $$G_{0}$$ Model of Hematopoietic Stem Cells. SIAM J Appl Dyn Syst 4(2):312\u2013332. https:\/\/doi.org\/10.1137\/030600473","journal-title":"SIAM J Appl Dyn Syst"},{"issue":"1","key":"1692_CR47","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1186\/s13045-021-01142-x","volume":"14","author":"F Ravandi","year":"2021","unstructured":"Ravandi F, Roboz GJ, Wei AH, D\u00f6hner H, Pocock C, Selleslag D, Montesinos P, Sayar H, Musso M, Figuera-Alvarez A, Safah H, Tse W, Sohn SK, Hiwase D, Chevassut T, Pierdomenico F, La Torre I, Skikne B, Bailey R, Zhong J, Beach CL, Dombret H (2021) Management of adverse events in patients with acute myeloid leukemia in remission receiving oral azacitidine: Experience from the phase 3 randomized QUAZAR AML-001 trial. Journal of Hematology & Oncology 14(1):133. https:\/\/doi.org\/10.1186\/s13045-021-01142-x","journal-title":"Journal of Hematology & Oncology"},{"issue":"1","key":"1692_CR48","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/982978","volume":"2014","author":"FA Rihan","year":"2014","unstructured":"Rihan FA, Abdelrahman DH, Al-Maskari F, Ibrahim F, Abdeen MA (2014) Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control. Comput Math Methods Med 2014(1):982978. https:\/\/doi.org\/10.1155\/2014\/982978","journal-title":"Comput Math Methods Med"},{"issue":"7","key":"1692_CR49","doi-asserted-by":"publisher","first-page":"1439","DOI":"10.1038\/s41591-022-01883-3","volume":"28","author":"NA Robertson","year":"2022","unstructured":"Robertson NA, Latorre-Crespo E, Terradas-Terradas M, Lemos-Portela J, Purcell AC, Livesey BJ, Hillary RF, Murphy L, Fawkes A, MacGillivray L, Copland M, Marioni RE, Marsh JA, Harris SE, Cox SR, Deary IJ, Schumacher LJ, Kirschner K, Chandra T (2022) Longitudinal dynamics of clonal hematopoiesis identifies gene-specific fitness effects. Nat Med 28(7):1439\u20131446. https:\/\/doi.org\/10.1038\/s41591-022-01883-3","journal-title":"Nat Med"},{"key":"1692_CR50","doi-asserted-by":"publisher","first-page":"82","DOI":"10.3389\/fonc.2013.00082","volume":"3","author":"IA Rodriguez-Brenes","year":"2013","unstructured":"Rodriguez-Brenes IA, Wodarz D, Komarova NL (2013) Stem cell control, oscillations, and tissue regeneration in spatial and non-spatial models. Front Oncol 3:82. https:\/\/doi.org\/10.3389\/fonc.2013.00082","journal-title":"Front Oncol"},{"key":"1692_CR51","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2021.109939","volume":"134","author":"N Sakamoto","year":"2021","unstructured":"Sakamoto N, Zuazua E (2021) The turnpike property in nonlinear optimal control\u2013A geometric approach. Automatica 134:109939. https:\/\/doi.org\/10.1016\/j.automatica.2021.109939","journal-title":"Automatica"},{"issue":"1","key":"1692_CR52","doi-asserted-by":"publisher","DOI":"10.1098\/rsos.171304","volume":"5","author":"J Sardany\u00e9s","year":"2018","unstructured":"Sardany\u00e9s J, Mart\u00ednez R, Sim\u00f3 C (2018) Trans-heteroclinic bifurcation: A novel type of catastrophic shift. Royal Society Open Science 5(1):171304. https:\/\/doi.org\/10.1098\/rsos.171304","journal-title":"Royal Society Open Science"},{"key":"1692_CR53","doi-asserted-by":"publisher","unstructured":"Sch\u00e4ttler H, Ledzewicz U (2012) Geometric Optimal Control. Interdisciplinary Applied Mathematics, vol. 38. Springer, New York, NY. https:\/\/doi.org\/10.1007\/978-1-4614-3834-2","DOI":"10.1007\/978-1-4614-3834-2"},{"key":"1692_CR54","doi-asserted-by":"publisher","unstructured":"Sch\u00e4ttler H, Ledzewicz U (2015) Optimal Control for Mathematical Models of Cancer Therapies: An Application of Geometric Methods. Interdisciplinary Applied Mathematics, vol. 42. Springer, New York, NY. https:\/\/doi.org\/10.1007\/978-1-4939-2972-6","DOI":"10.1007\/978-1-4939-2972-6"},{"issue":"12","key":"1692_CR55","doi-asserted-by":"publisher","first-page":"1275","DOI":"10.1182\/blood-2017-09-801498","volume":"131","author":"GJ Schuurhuis","year":"2018","unstructured":"Schuurhuis GJ, Heuser M, Freeman S, B\u00e9n\u00e9 M-C, Buccisano F, Cloos J, Grimwade D, Haferlach T, Hills RK, Hourigan CS, Jorgensen JL, Kern W, Lacombe F, Maurillo L, Preudhomme C, van der Reijden BA, Thiede C, Venditti A, Vyas P, Wood BL, Walter RB, D\u00f6hner K, Roboz GJ, Ossenkoppele GJ (2018) Minimal\/measurable residual disease in AML: A consensus document from the European LeukemiaNet MRD Working Party. Blood 131(12):1275\u20131291. https:\/\/doi.org\/10.1182\/blood-2017-09-801498","journal-title":"Blood"},{"key":"1692_CR56","doi-asserted-by":"publisher","unstructured":"Sethi SP (2021) Optimal Control Theory: Applications to Management Science and Economics. Springer Texts in Business and Economics. Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-030-91745-6","DOI":"10.1007\/978-3-030-91745-6"},{"issue":"10","key":"1692_CR57","doi-asserted-by":"publisher","first-page":"76195","DOI":"10.1371\/journal.pone.0076195","volume":"8","author":"L Shahriyari","year":"2013","unstructured":"Shahriyari L, Komarova NL (2013) Symmetric vs. Asymmetric Stem Cell Divisions: An Adaptation against Cancer? PLoS ONE 8(10):76195. https:\/\/doi.org\/10.1371\/journal.pone.0076195","journal-title":"PLoS ONE"},{"key":"1692_CR58","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.jtbi.2019.03.006","volume":"470","author":"JA Sharp","year":"2019","unstructured":"Sharp JA, Browning AP, Mapder T, Burrage K, Simpson MJ (2019) Optimal control of acute myeloid leukaemia. J Theor Biol 470:30\u201342. https:\/\/doi.org\/10.1016\/j.jtbi.2019.03.006","journal-title":"J Theor Biol"},{"key":"1692_CR59","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2020.110277","volume":"497","author":"JA Sharp","year":"2020","unstructured":"Sharp JA, Browning AP, Mapder T, Baker CM, Burrage K, Simpson MJ (2020) Designing combination therapies using multiple optimal controls. J Theor Biol 497:110277. https:\/\/doi.org\/10.1016\/j.jtbi.2020.110277","journal-title":"J Theor Biol"},{"issue":"6","key":"1692_CR60","doi-asserted-by":"publisher","first-page":"722","DOI":"10.1182\/blood-2017-04-779405","volume":"130","author":"EM Stein","year":"2017","unstructured":"Stein EM, DiNardo CD, Pollyea DA, Fathi AT, Roboz GJ, Altman JK, Stone RM, DeAngelo DJ, Levine RL, Flinn IW, Kantarjian HM, Collins R, Patel MR, Frankel AE, Stein A, Sekeres MA, Swords RT, Medeiros BC, Willekens C, Vyas P, Tosolini A, Xu Q, Knight RD, Yen KE, Agresta S, de Botton S, Tallman MS (2017) Enasidenib in mutant IDH2 relapsed or refractory acute myeloid leukemia. Blood 130(6):722\u2013731. https:\/\/doi.org\/10.1182\/blood-2017-04-779405","journal-title":"Blood"},{"key":"1692_CR61","doi-asserted-by":"publisher","DOI":"10.3389\/fimmu.2024.1321336","author":"T Stiehl","year":"2024","unstructured":"Stiehl T (2024) Stem cell graft dose and composition could impact on the expansion of donor-derived clones after allogeneic hematopoietic stem cell transplantation - a virtual clinical trial. Front Immunol. https:\/\/doi.org\/10.3389\/fimmu.2024.1321336","journal-title":"Front Immunol"},{"issue":"1","key":"1692_CR62","doi-asserted-by":"publisher","first-page":"166","DOI":"10.1051\/mmnp\/20127199","volume":"7","author":"T Stiehl","year":"2012","unstructured":"Stiehl T, Marciniak-Czochra A (2012) Mathematical modeling of leukemogenesis and cancer stem Cell Dynamics. Mathematical Modelling of Natural Phenomena 7(1):166\u2013202. https:\/\/doi.org\/10.1051\/mmnp\/20127199","journal-title":"Mathematical Modelling of Natural Phenomena"},{"issue":"94","key":"1692_CR63","doi-asserted-by":"publisher","first-page":"20140079","DOI":"10.1098\/rsif.2014.0079","volume":"11","author":"T Stiehl","year":"2014","unstructured":"Stiehl T, Baran N, Ho AD, Marciniak-Czochra A (2014) Clonal selection and therapy resistance in acute leukaemias: Mathematical modelling explains different proliferation patterns at diagnosis and relapse. J R Soc Interface 11(94):20140079. https:\/\/doi.org\/10.1098\/rsif.2014.0079","journal-title":"J R Soc Interface"},{"issue":"1","key":"1692_CR64","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1038\/bmt.2013.138","volume":"49","author":"T Stiehl","year":"2014","unstructured":"Stiehl T, Ho AD, Marciniak-Czochra A (2014) The impact of CD34+ cell dose on engraftment after SCTs: Personalized estimates based on mathematical modeling. Bone Marrow Transplant 49(1):30\u201337. https:\/\/doi.org\/10.1038\/bmt.2013.138","journal-title":"Bone Marrow Transplant"},{"key":"1692_CR65","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1007\/978-1-4939-2095-2_17","volume-title":"A Systems Biology Approach to Blood","author":"T Stiehl","year":"2014","unstructured":"Stiehl T, Ho AD, Marciniak-Czochra A (2014) Assessing Hematopoietic (Stem-) Cell Behavior During Regenerative Pressure. In: Corey SJ, Kimmel M, Leonard JN (eds) A Systems Biology Approach to Blood. Springer, New York, NY, pp 347\u2013367. https:\/\/doi.org\/10.1007\/978-1-4939-2095-2_17"},{"issue":"6","key":"1692_CR66","doi-asserted-by":"publisher","first-page":"940","DOI":"10.1158\/0008-5472.CAN-14-2508","volume":"75","author":"T Stiehl","year":"2015","unstructured":"Stiehl T, Baran N, Ho AD, Marciniak-Czochra A (2015) Cell Division Patterns in Acute Myeloid Leukemia Stem-like Cells Determine Clinical Course: A Model to Predict Patient Survival. Can Res 75(6):940\u2013949. https:\/\/doi.org\/10.1158\/0008-5472.CAN-14-2508","journal-title":"Can Res"},{"issue":"1","key":"1692_CR67","doi-asserted-by":"publisher","first-page":"2809","DOI":"10.1038\/s41598-018-21115-4","volume":"8","author":"T Stiehl","year":"2018","unstructured":"Stiehl T, Ho AD, Marciniak-Czochra A (2018) Mathematical modeling of the impact of cytokine response of acute myeloid leukemia cells on patient prognosis. Sci Rep 8(1):2809. https:\/\/doi.org\/10.1038\/s41598-018-21115-4","journal-title":"Sci Rep"},{"issue":"5","key":"1692_CR68","doi-asserted-by":"publisher","first-page":"454","DOI":"10.1056\/NEJMoa1614359","volume":"377","author":"RM Stone","year":"2017","unstructured":"Stone RM, Mandrekar SJ, Sanford BL, Laumann K, Geyer S, Bloomfield CD, Thiede C, Prior TW, D\u00f6hner K, Marcucci G, Lo-Coco F, Klisovic RB, Wei A, Sierra J, Sanz MA, Brandwein JM, Witte T, Niederwieser D, Appelbaum FR, Medeiros BC, Tallman MS, Krauter J, Schlenk RF, Ganser A, Serve H, Ehninger G, Amadori S, Larson RA, D\u00f6hner H (2017) Midostaurin plus Chemotherapy for Acute Myeloid Leukemia with a FLT3 Mutation. N Engl J Med 377(5):454\u2013464. https:\/\/doi.org\/10.1056\/NEJMoa1614359","journal-title":"N Engl J Med"},{"issue":"2","key":"1692_CR69","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/0025-5564(90)90021-P","volume":"101","author":"GW Swan","year":"1990","unstructured":"Swan GW (1990) Role of optimal control theory in cancer chemotherapy. Math Biosci 101(2):237\u2013284. https:\/\/doi.org\/10.1016\/0025-5564(90)90021-P","journal-title":"Math Biosci"},{"issue":"23","key":"1692_CR70","doi-asserted-by":"publisher","first-page":"5107","DOI":"10.1182\/bloodadvances.2021005455","volume":"5","author":"IS Tiong","year":"2021","unstructured":"Tiong IS, Dillon R, Ivey A, Kuzich JA, Thiagarajah N, Sharplin KM, Kok CH, Tedjaseputra A, Rowland JP, Grove CS, Abro E, Shortt J, Hiwase DK, Bajel A, Potter NE, Smith ML, Hemmaway CJ, Thomas A, Gilkes AF, Russell NH, Wei AH (2021) Clinical impact of NPM1-mutant molecular persistence after chemotherapy for acute myeloid leukemia. Blood Adv 5(23):5107\u20135111. https:\/\/doi.org\/10.1182\/bloodadvances.2021005455","journal-title":"Blood Adv"},{"issue":"39","key":"1692_CR71","doi-asserted-by":"publisher","first-page":"16766","DOI":"10.1073\/pnas.1007726107","volume":"107","author":"C Tomasetti","year":"2010","unstructured":"Tomasetti C, Levy D (2010) Role of symmetric and asymmetric division of stem cells in developing drug resistance. Proc Natl Acad Sci 107(39):16766\u201316771. https:\/\/doi.org\/10.1073\/pnas.1007726107","journal-title":"Proc Natl Acad Sci"},{"issue":"1","key":"1692_CR72","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/j.jde.2014.09.005","volume":"258","author":"E Tr\u00e9lat","year":"2015","unstructured":"Tr\u00e9lat E, Zuazua E (2015) The turnpike property in finite-dimensional nonlinear optimal control. J Differential Equations 258(1):81\u2013114. https:\/\/doi.org\/10.1016\/j.jde.2014.09.005","journal-title":"J Differential Equations"},{"key":"1692_CR73","doi-asserted-by":"publisher","unstructured":"Tr\u00e9lat E, Zuazua E (2025) Turnpike in Optimal Control and beyond: A Survey. arXiv. https:\/\/doi.org\/10.48550\/arXiv.2503.20342","DOI":"10.48550\/arXiv.2503.20342"},{"issue":"1","key":"1692_CR74","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1186\/s12979-022-00278-9","volume":"19","author":"MM Uddin","year":"2022","unstructured":"Uddin MM, Zhou Y, Bick AG, Burugula BB, Jaiswal S, Desai P, Honigberg MC, Love S-A, Barac A, Hayden KM, Manson JE, Whitsel EA, Kooperberg C, Natarajan P, Reiner AP, Kitzman JO (2022) Longitudinal profiling of clonal hematopoiesis provides insight into clonal dynamics. Immunity & Ageing I & A 19(1):23. https:\/\/doi.org\/10.1186\/s12979-022-00278-9","journal-title":"Immunity & Ageing I & A"},{"issue":"12","key":"1692_CR75","doi-asserted-by":"publisher","first-page":"1004629","DOI":"10.1371\/journal.pcbi.1004629","volume":"11","author":"J Yang","year":"2015","unstructured":"Yang J, Plikus MV, Komarova NL (2015) The Role of Symmetric Stem Cell Divisions in Tissue Homeostasis. PLoS Comput Biol 11(12):1004629. https:\/\/doi.org\/10.1371\/journal.pcbi.1004629","journal-title":"PLoS Comput Biol"},{"issue":"5","key":"1692_CR76","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/s11912-003-0026-6","volume":"5","author":"JAL Yin","year":"2003","unstructured":"Yin JAL, Frost L (2003) Monitoring AML1-ETO and CBFbeta-MYH11 transcripts in acute myeloid leukemia. Curr Oncol Rep 5(5):399\u2013404. https:\/\/doi.org\/10.1007\/s11912-003-0026-6","journal-title":"Curr Oncol Rep"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-026-01692-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11538-026-01692-6","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-026-01692-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T20:04:51Z","timestamp":1783713891000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11538-026-01692-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,24]]},"references-count":76,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2026,7]]}},"alternative-id":["1692"],"URL":"https:\/\/doi.org\/10.1007\/s11538-026-01692-6","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,24]]},"assertion":[{"value":"5 November 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 June 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 June 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"126"}}