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Dynamically adjusted cell fate decisions and resilience to mutant invasion during steady-state hematopoiesis revealed by an experimentally parameterized mathematical model
Natalia L. Komarova, Chiara Rignot, Angela G. Fleischman and Dominik Wodarz Proceedings of the National Academy of Sciences 121(38) (2024) https://doi.org/10.1073/pnas.2321525121
Understanding the impact of feedback regulations on blood cell production and leukemia dynamics using model analysis and simulation of clinically relevant scenarios
Adrian-Manuel Reimann, Enrico Schalk, Felix Jost, Dimitrios Mougiakakos, Daniela Weber, Hartmut Döhner, Christian Récher, Pierre-Yves Dumas, Marc Ditzhaus, Thomas Fischer and Sebastian Sager Journal of Cancer Research and Clinical Oncology 149(15) 13811 (2023) https://doi.org/10.1007/s00432-023-05115-0
On Fractional Order Model of Tumor Growth with Cancer Stem Cell
Effect of feedback regulation on stem cell fractions in tissues and tumors: Understanding chemoresistance in cancer
Lora D. Weiss, P. van den Driessche, John S. Lowengrub, Dominik Wodarz and Natalia L. Komarova Journal of Theoretical Biology 509 110499 (2021) https://doi.org/10.1016/j.jtbi.2020.110499
Data‐driven analysis of the kinetics of the JAK2V617F allele burden and blood cell counts during hydroxyurea treatment of patients with polycythemia vera, essential thrombocythemia, and primary myelofibrosis
Marc J. B. Dam, Rasmus K. Pedersen, Trine A. Knudsen, Morten Andersen, Vibe Skov, Lasse Kjær, Hans C. Hasselbalch and Johnny T. Ottesen European Journal of Haematology 107(6) 624 (2021) https://doi.org/10.1111/ejh.13700
Global dynamics of healthy and cancer cells competing in the hematopoietic system
Morten Andersen, Hans C. Hasselbalch, Lasse Kjær, Vibe Skov and Johnny T. Ottesen Mathematical Biosciences 326 108372 (2020) https://doi.org/10.1016/j.mbs.2020.108372
An Optimal Control Framework for the Automated Design of Personalized Cancer Treatments
Mathematical Modeling to Study Multistage Stem Cell Transplantation in HIV-1 Patients
Manar A. Al Qudah, Sana’a A. Zarea and Saoussan A. Kallel-Jallouli Discrete Dynamics in Nature and Society 2019 1 (2019) https://doi.org/10.1155/2019/6379142
How to Characterize Stem Cells? Contributions from Mathematical Modeling
Analysis of leukaemic cells dynamics with multi‐stage maturation process using a new non‐linear positive model with distributed time‐delay
Abdelhafid Zenati, Massaoud Chakir, Mohamed Tadjine and Mouloud Denai IET Control Theory & Applications 13(18) 3052 (2019) https://doi.org/10.1049/iet-cta.2019.0331
Mathematical modeling reveals the factors involved in the phenomena of cancer stem cells stabilization
Mathematical modeling of bone marrow – peripheral blood dynamics in the disease state based on current emerging paradigms, part II
Evans K. Afenya, Rachid Ouifki and Suneel D. Mundle Journal of Theoretical Biology 460 37 (2019) https://doi.org/10.1016/j.jtbi.2018.10.008
Fabrizio Angaroni, Alex Graudenzi, Marco Rossignolo, Davide Maspero, Tommaso Calarco, Rocco Piazza, Simone Montangero and Marco Antoniotti (2019) https://doi.org/10.1101/662858
Lora D. Weiss, P. van den Driessche, John S. Lowengrub, Dominik Wodarz and Natalia L. Komarova (2019) https://doi.org/10.1101/818005
Study of cohabitation and interconnection effects on normal and leukaemic stem cells dynamics in acute myeloid leukaemia
Niklas Kolbe, Mária Lukáčová-Medvid’ová, Nikolaos Sfakianakis and Bettina Wiebe Lecture Notes in Computational Science and Engineering, Multiscale Models in Mechano and Tumor Biology 122 73 (2017) https://doi.org/10.1007/978-3-319-73371-5_4
Mathematical modelling as a proof of concept for MPNs as a human inflammation model for cancer development
System Engineering Approach to Planning Anticancer Therapies
Andrzej Świerniak, Marek Kimmel, Jaroslaw Smieja, Krzysztof Puszynski and Krzysztof Psiuk-Maksymowicz System Engineering Approach to Planning Anticancer Therapies 85 (2016) https://doi.org/10.1007/978-3-319-28095-0_4
A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model
Niklas Kolbe, Jana Kat’uchová, Nikolaos Sfakianakis, Nadja Hellmann and Mária Lukáčová-Medvid’ová Applied Mathematics and Computation 273 353 (2016) https://doi.org/10.1016/j.amc.2015.08.023
Feedback mechanisms control coexistence in a stem cell model of acute myeloid leukaemia
Modeling the Pro-inflammatory Tumor Microenvironment in Acute Lymphoblastic Leukemia Predicts a Breakdown of Hematopoietic-Mesenchymal Communication Networks
Existence and Stability of Limit Cycles in a Two-delays Model of Hematopoiesis Including Asymmetric Division
A. Halanay, D. Cândea, I. R. Rădulescu and L. Pujo-Menjouet Mathematical Modelling of Natural Phenomena 9(1) 58 (2014) https://doi.org/10.1051/mmnp/20149105
Mathematical Models of Tumor-Immune System Dynamics
Geoffrey Clapp and Doron Levy Springer Proceedings in Mathematics & Statistics, Mathematical Models of Tumor-Immune System Dynamics 107 1 (2014) https://doi.org/10.1007/978-1-4939-1793-8_1
Feedback Signals in Myelodysplastic Syndromes: Increased Self-Renewal of the Malignant Clone Suppresses Normal Hematopoiesis
I. Rodica Rădulescu, Doina Cândea and Andrei Halanay IFIP Advances in Information and Communication Technology, System Modeling and Optimization 443 257 (2014) https://doi.org/10.1007/978-3-662-45504-3_25
A multi-phenotypic cancer model with cell plasticity