Access the full text.
Sign up today, get DeepDyve free for 14 days.
Joanna Jaruszewicz, P. Żuk, T. Lipniacki (2013)
Type of noise defines global attractors in bistable molecular regulatory systems.Journal of theoretical biology, 317
A. Marciniak-Czochra, T. Stiehl, W. Wagner (2009)
Modeling of replicative senescence in hematopoietic developmentAging (Albany NY), 1
I. Roeder, M. Horn, I. Glauche, A. Hochhaus, M. Mueller, M. Loeffler (2006)
Dynamic modeling of imatinib-treated chronic myeloid leukemia: functional insights and clinical implicationsNature Medicine, 12
L. Harnevo, Z. Agur (2004)
Drug resistance as a dynamic process in a model for multistep gene amplification under various levels of selection stringencyCancer Chemotherapy and Pharmacology, 30
T. Walenda, T. Stiehl, Hannan Braun, J. Fröbel, A. Ho, T. Schroeder, T. Goecke, B. Rath, U. Germing, A. Marciniak-Czochra, W. Wagner (2014)
Feedback Signals in Myelodysplastic Syndromes: Increased Self-Renewal of the Malignant Clone Suppresses Normal HematopoiesisPLoS Computational Biology, 10
N. Uchida, W. Fleming, Eytan Alpern, I. Weissman (1993)
Heterogeneity of hematopoietic stem cells.Current opinion in immunology, 5 2
T. Radivoyevitch, L. Hlatky, Julian Landaw, R. Sachs (2012)
Quantitative modeling of chronic myeloid leukemia: insights from radiobiology.Blood, 119 19
C. Tomasetti, B. Vogelstein, G. Parmigiani (2013)
Half or more of the somatic mutations in cancers of self-renewing tissues originate prior to tumor initiationProceedings of the National Academy of Sciences, 110
M. Laurent, J. Deschatrette, C. Wolfrom (2010)
Unmasking Chaotic Attributes in Time Series of Living Cell PopulationsPLoS ONE, 5
M. Elowitz, A. Levine, E. Siggia, P. Swain (2002)
Stochastic Gene Expression in a Single CellScience, 297
J. Abkowitz, S. Catlin, P. Guttorp (1996)
Evidence that hematopoiesis may be a stochastic process in vivoNature Medicine, 2
A. Traulsen, J. Pacheco, L. Luzzatto, D. Dingli (2010)
Somatic mutations and the hierarchy of hematopoiesisBioEssays, 32
Mingfu Wu, H. Kwon, F. Rattis, Jordan Blum, Chen Zhao, R. Ashkenazi, T. Jackson, N. Gaiano, T. Oliver, T. Reya (2007)
Imaging hematopoietic precursor division in real time.Cell stem cell, 1 5
L. Pelkmans (2012)
Using Cell-to-Cell Variability—A New Era in Molecular BiologyScience, 336
W. Lo, Ching-Shan Chou, K. Gokoffski, F. Wan, A. Lander, A. Calof, Q. Nie (2008)
Feedback regulation in multistage cell lineages.Mathematical biosciences and engineering : MBE, 6 1
M. Loose, G. Swiers, R. Patient (2007)
Transcriptional networks regulating hematopoietic cell fate decisionsCurrent Opinion in Hematology, 14
B. Parkin, P. Ouillette, Yifeng Li, Jennifer Keller, Cindy Lam, D. Roulston, Cheng Li, K. Shedden, S. Malek (2013)
Clonal evolution and devolution after chemotherapy in adult acute myelogenous leukemia.Blood, 121 2
Taly Glaubach, S. Corey (2012)
From famine to feast: sending out the clones.Blood, 119 22
A. Brock, Hannah Chang, Sui Huang (2009)
Non-genetic heterogeneity — a mutation-independent driving force for the somatic evolution of tumoursNature Reviews Genetics, 10
P. Gwiazda, G. Jamróz, A. Marciniak-Czochra (2012)
Models of Discrete and Continuous Cell Differentiation in the Framework of Transport EquationSIAM J. Math. Anal., 44
P. Kim, Peter Lee, D. Levy (2008)
A PDE Model for Imatinib-Treated Chronic Myelogenous LeukemiaBulletin of Mathematical Biology, 70
A. Marciniak-Czochra, M. Kimmel (2008)
Reaction-Difusion Model of Early Carcinogenesis: The Effects of Influx of Mutated CellsMathematical Modelling of Natural Phenomena, 3
B. Snijder, L. Pelkmans (2011)
Origins of regulated cell-to-cell variabilityNature Reviews Molecular Cell Biology, 12
G. Webb (1987)
Random transitions, size control, and inheritance in cell population dynamicsBellman Prize in Mathematical Biosciences, 85
M. Al-Hajj, M. Clarke (2004)
Self-renewal and solid tumor stem cellsOncogene, 23
R. Bertolusso, M. Kimmel (2012)
Modeling Spatial Effects in Early Carcinogenesis : Stochastic Versus Deterministic Reaction-Diffusion SystemsMathematical Modelling of Natural Phenomena, 7
C. Foley, M. Mackey (2009)
Dynamic hematological disease: a reviewJournal of Mathematical Biology, 58
C. Haurie, D. Dale, M. Mackey (1998)
Cyclical neutropenia and other periodic hematological disorders: a review of mechanisms and mathematical models.Blood, 92 8
A. Lambert (2006)
Branching Processes: Variation, Growth and Extinction of Populations, 13
I. Goshen, Matthew Brodsky, R. Prakash, Jenelle Wallace, V. Gradinaru, C. Ramakrishnan, K. Deisseroth (2011)
Dynamics of Retrieval Strategies for Remote MemoriesCell, 147
A. Sigal, R. Milo, A. Cohen, N. Geva-Zatorsky, Yael Klein, Yuvalal Liron, N. Rosenfeld, T. Danon, N. Perzov, U. Alon (2006)
Variability and memory of protein levels in human cellsNature, 444
A. Lander, K. Gokoffski, F. Wan, Q. Nie, A. Calof (2009)
Cell Lineages and the Logic of Proliferative ControlPLoS Biology, 7
Marek Kimmel, David Axelrod (1990)
Mathematical models of gene amplification with applications to cellular drug resistance and tumorigenicity.Genetics, 125 3
T. Stiehl, Anthony Ho, A. Marciniak-Czochra (2014)
The impact of CD34+ cell dose on engraftment after SCTs: personalized estimates based on mathematical modelingBone Marrow Transplantation, 49
Hannah Chang, M. Hemberg, Mauricio Barahona, D. Ingber, Sui Huang (2008)
Transcriptome-wide noise controls lineage choice in mammalian progenitor cellsNature, 453
Hitoshi Takizawa, S. Boettcher, M. Manz (2012)
Demand-adapted regulation of early hematopoiesis in infection and inflammation.Blood, 119 13
O. Arino, M. Kimmel (1987)
Asymptotic analysis of a cell cycle model based on unequal divisionSiam Journal on Applied Mathematics, 47
M. Ogawa (1999)
Stochastic model revisited.International journal of hematology, 69 1
A. Cohen, N. Geva-Zatorsky, E. Eden, M. Frenkel-Morgenstern, Irina Issaeva, A. Sigal, R. Milo, Cellina Cohen-Saidon, Yuvalal Liron, Z. Kam, Lydia Cohen, T. Danon, N. Perzov, U. Alon (2008)
Dynamic Proteomics of Individual Cancer Cells in Response to a DrugScience, 322
P. Getto, A. Marciniak-Czochra, Y. Nakata, M. Vivanco (2013)
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms.Mathematical biosciences, 245 2
S. Moolgavkar, A. Knudson (1981)
Mutation and cancer: a model for human carcinogenesis.Journal of the National Cancer Institute, 66 6
I. Bozic, T. Antal, H. Ohtsuki, H. Carter, Dewey Kim, Sining Chen, R. Karchin, K. Kinzler, B. Vogelstein, M. Nowak (2009)
Accumulation of driver and passenger mutations during tumor progressionProceedings of the National Academy of Sciences, 107
B. Lord (1997)
13 – Biology of the haemopoietic stem cellStem Cells
Y. Nakata, P. Getto, A. Marciniak-Czochra, T. Alarcón (2012)
Stability analysis of multi-compartment models for cell production systemsJournal of Biological Dynamics, 6
T. Gardner, C. Cantor, J. Collins (2000)
Construction of a genetic toggle switch in Escherichia coliNature, 403
O. Arino, M. Kimmel (1986)
Stability analysis of models of cell production systemsMathematical Modelling, 7
M. Kimmel, Z. Darżynkiewicz, O. Arino, F. Traganos (1984)
Analysis of a cell cycle model based on unequal division of metabolic constituents to daughter cells during cytokinesis.Journal of theoretical biology, 110 4
T. Ley, C. Miller, L. Ding, Benjamin Raphael, A. Mungall, A. Robertson, K. Hoadley, T. Triche, P. Laird, J. Baty, L. Fulton, R. Fulton, S. Heath, Joelle Kalicki-Veizer, C. Kandoth, J. Klco, D. Koboldt, K. Kanchi, S. Kulkarni, T. Lamprecht, D. Larson, Ling Lin, Charles Lu, M. McLellan, Joshua McMichael, J. Payton, Heather Schmidt, D. Spencer, M. Tomasson, J. Wallis, L. Wartman, M. Watson, J. Welch, M. Wendl, Adrian Ally, M. Balasundaram, I. Birol, Y. Butterfield, Readman Chiu, Andy Chu, E. Chuah, Hye-Jung Chun, R. Corbett, Noreen Dhalla, R. Guin, A. He, Carrie Hirst, M. Hirst, R. Holt, Steven Jones, A. Karsan, Darlene Lee, H. Li, M. Marra, Michael Mayo, Richard Moore, K. Mungall, J. Parker, E. Pleasance, Patrick Plettner, J. Schein, D. Stoll, Lucas Swanson, Angela Tam, N. Thiessen, R. Varhol, N. Wye, Yongjun Zhao, S. Gabriel, G. Getz, C. Sougnez, L. Zou, Mark Leiserson, Fabio Vandin, Hsin-Ta Wu, F. Applebaum, S. Baylin, R. Akbani, B. Broom, Ken Chen, Thomas Motter, Khanh Nguyen, J. Weinstein, Nianziang Zhang, M. Ferguson, C. Adams, Aaron Black, Jay Bowen, J. Gastier-Foster, T. Grossman, T. Lichtenberg, L. Wise, Tanja Davidsen, John Demchok, K. Shaw, Margi Sheth, H. Sofia, Liming Yang, J. Downing, G. Eley (2013)
Genomic and epigenomic landscapes of adult de novo acute myeloid leukemia.The New England journal of medicine, 368 22
T. Stiehl, A. Marciniak-Czochra (2011)
Characterization of stem cells using mathematical models of multistage cell lineagesMath. Comput. Model., 53
N. Awaya, H. Uchida, Y. Miyakawa, K. Kinjo, H. Matsushita, H. Nakajima, Y. Ikeda, M. Kizaki (2002)
Novel variant isoform of G‐CSF receptor involved in induction of proliferation of FDCP‐2 cells: Relevance to the pathogenesis of myelodysplastic syndromeJournal of Cellular Physiology, 191
J. Michaels, V. Naudot, L. Liebovitch (2011)
Dynamic Stabilization in the PU1-GATA1 Circuit Using a Model with Time-Dependent Kinetic ChangeBulletin of Mathematical Biology, 73
A. Loinger, Azi Lipshtat, N. Balaban, O. Biham (2007)
Stochastic simulations of genetic switch systems.Physical review. E, Statistical, nonlinear, and soft matter physics, 75 2 Pt 1
T. Lipniacki, P. Paszek, A. Marciniak-Czochra, A. Brasier, M. Kimmel (2006)
Transcriptional stochasticity in gene expression.Journal of theoretical biology, 238 2
J. Tyson, K. Hannsgen (1986)
Cell growth and division: a deterministic/probabilistic model of the cell cycleJournal of Mathematical Biology, 23
K. Tieu, R. Tieu, J. Martinez-Agosto, M. Sehl (2012)
Stem Cell Niche Dynamics: From Homeostasis to CarcinogenesisStem Cells International, 2012
Shenghui He, Daisuke Nakada, S. Morrison (2009)
Mechanisms of stem cell self-renewal.Annual review of cell and developmental biology, 25
M. Germeshausen, J. Skokowa, M. Ballmaier, C. Zeidler, K. Welte (2008)
G-CSF receptor mutations in patients with congenital neutropeniaCurrent Opinion in Hematology, 15
Z. Whichard, Casim Sarkar, M. Kimmel, S. Corey (2010)
Hematopoiesis and its disorders: a systems biology approach.Blood, 115 12
S. Bernard, J. Bélair, M. Mackey (2003)
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling.Journal of theoretical biology, 223 3
M. Doumic, A. Marciniak-Czochra, B. Perthame, J. Zubelli (2010)
A Structured Population Model of Cell DifferentiationSIAM J. Appl. Math., 71
R. Beekman, I. Touw (2010)
G-CSF and its receptor in myeloid malignancy.Blood, 115 25
A. Uğuz, M. Çoşkun, Selma Yuzbey, A. Kizilors, I. Karadoğan, A. Gura, B. Yoldaş, N. Oygur, O. Yeǧin (2002)
Apoptosis of cord blood neutrophils and their response to colony-stimulating factors.American journal of perinatology, 19 8
F. Dong, M. Paassen, C. Buitenen, L. Hoefsloot, Bob Löwenberg, I. Touw (1995)
A point mutation in the granulocyte colony-stimulating factor receptor (G-CSF-R) gene in a case of acute myeloid leukemia results in the overexpression of a novel G-CSF-R isoform.Blood, 85 4
D. Muzzey, A. Oudenaarden (2006)
When It Comes to Decisions, Myeloid Progenitors Crave Positive FeedbackCell, 126
Materials and Methods SOM Text Figs. S1 to S16 References Materials and Methods
J. Donadieu, T. Leblanc, B. Meunier, M. Barkaoui, O. Fenneteau, Y. Bertrand, M. Maier‐Redelsperger, M. Micheau, J. Stéphan, N. Phillipe, P. Bordigoni, A. Babin-Boilletot, P. Bensaid, A. Manel, E. Vilmer, I. Thuret, S. Blanche, E. Gluckman, A. Fischer, F. Mechinaud, B. Joly, T. Lamy, O. Hermine, B. Cassinat, C. Bellanné-Chantelot, C. Chomienne (2005)
Analysis of risk factors for myelodysplasias, leukemias and death from infection among patients with congenital neutropenia. Experience of the French Severe Chronic Neutropenia Study Group.Haematologica, 90 1
A. Molofsky, R. Pardal, S. Morrison (2004)
Diverse mechanisms regulate stem cell self-renewal.Current opinion in cell biology, 16 6
M. Sehl, Hua Zhou, J. Sinsheimer, K. Lange (2011)
Extinction models for cancer stem cell therapy.Mathematical biosciences, 234 2
T. Schroeder (2011)
Long-term single-cell imaging of mammalian stem cellsNature Methods, 8
M. Kimmel, S. Corey (2013)
Stochastic Hypothesis of Transition from Inborn Neutropenia to AML: Interactions of Cell Population Dynamics and Population GeneticsFrontiers in Oncology, 3
P. Rosenberg, B. Alter, A. Bolyard, M. Bonilla, L. Boxer, B. Cham, C. Fier, M. Freedman, G. Kannourakis, S. Kinsey, B. Schwinzer, C. Zeidler, K. Welte, D. Dale (2005)
The incidence of leukemia and mortality from sepsis in patients with severe congenital neutropenia receiving long-term G-CSF therapy.Blood, 107 12
T. Stiehl, A. Marciniak-Czochra (2012)
Mathematical Modeling of Leukemogenesis and Cancer Stem Cell DynamicsMathematical Modelling of Natural Phenomena, 7
R. Beekman, Marijke Valkhof, M. Sanders, P. Strien, J. Haanstra, L. Broeders, W. Geertsma‐Kleinekoort, A. Veerman, P. Valk, R. Verhaak, B. Löwenberg, I. Touw (2012)
Sequential gain of mutations in severe congenital neutropenia progressing to acute myeloid leukemia.Blood, 119 22
D. Peixoto, D. Dingli, J. Pacheco (2011)
Modelling hematopoiesis in health and diseaseMath. Comput. Model., 53
T. Stiehl, Natalia Baran, A. Ho, A. Marciniak-Czochra (2013)
Clonal selection and therapy resistance in acute leukaemias: mathematical modelling explains different proliferation patterns at diagnosis and relapseJournal of the Royal Society Interface, 11
A. Marciniak-Czochra, T. Stiehl, A. Ho, W. Jäger, W. Wagner (2009)
Modeling of asymmetric cell division in hematopoietic stem cells--regulation of self-renewal is essential for efficient repopulation.Stem cells and development, 18 3
P. Laslo, J. Pongubala, D. Lancki, Harinder Singh (2008)
Gene regulatory networks directing myeloid and lymphoid cell fates within the immune system.Seminars in immunology, 20 4
P. Rosenberg, C. Zeidler, A. Bolyard, B. Alter, M. Bonilla, L. Boxer, Y. Dror, S. Kinsey, D. Link, P. Newburger, A. Shimamura, K. Welte, D. Dale (2010)
Stable long‐term risk of leukaemia in patients with severe congenital neutropenia maintained on G‐CSF therapyBritish Journal of Haematology, 150
Anne Wilson, E. Laurenti, G. Oser, R. Wath, W. Blanco-Bose, Maike Jaworski, Sandra Offner, Cyrille Dunant, L. Eshkind, E. Bockamp, P. Lio’, H. MacDonald, A. Trumpp (2008)
Hematopoietic Stem Cells Reversibly Switch from Dormancy to Self-Renewal during Homeostasis and RepairCell, 135
J. Raser, E. O’Shea (2005)
Noise in Gene Expression: Origins, Consequences, and ControlScience, 309
J. Vose, J. Armitage (1995)
Clinical applications of hematopoietic growth factors.Journal of clinical oncology : official journal of the American Society of Clinical Oncology, 13 4
P. Laslo, C. Spooner, Aryeh Warmflash, D. Lancki, Hyun-Jun Lee, R. Sciammas, Benjamin Gantner, A. Dinner, Harinder Singh (2006)
Multilineage Transcriptional Priming and Determination of Alternate Hematopoietic Cell FatesCell, 126
K. Moore, I. Lemischka (2006)
Stem Cells and Their NichesScience, 311
O. Arino, M. Kimmel (1993)
Comparison of Approaches to Modeling of Cell Population DynamicsSIAM J. Appl. Math., 53
S. Morrison, J. Kimble (2006)
Asymmetric and symmetric stem-cell divisions in development and cancerNature, 441
Sui Huang (2011)
Systems biology of stem cells: three useful perspectives to help overcome the paradigm of linear pathwaysPhilosophical Transactions of the Royal Society B: Biological Sciences, 366
T. Schroeder (2007)
Asymmetric cell division in normal and malignant hematopoietic precursor cells.Cell stem cell, 1 5
A. Raue, V. Becker, U. Klingmüller, J. Timmer (2010)
Identifiability and observability analysis for experimental design in nonlinear dynamical models.Chaos, 20 4
M. Kimmel, D. Axelrod (2002)
Branching processes in biology
L. Lajtha, L. Pozzi, R. Schofield, M. Fox (1969)
KINETIC PROPERTIES OF HAEMOPOIETIC STEM CELLSCell Proliferation, 2
[This chapter represents a novel view of modeling in hematopoiesis, synthesizing both deterministic and stochastic approaches. Whereas the stochastic models work in situations where chance dominates, for example when the number of cells is small, or under random mutations, the deterministic models are more important for large-scale, normal hematopoiesis. New types of models are on the horizon. These models attempt to account for distributed environments such as hematopoietic niches and their impact on dynamics. Mixed effects of such structures and chance events are largely unknown and constitute both a challenge and promise for modeling. Our discussion is presented under the separate headings of deterministic and stochastic modeling; however, the connections between both are frequently mentioned. Four case studies are included to elucidate important examples. We also include a primer of deterministic and stochastic dynamics for the reader’s use.]
Published: Dec 6, 2014
Keywords: Hematopoiesis; Leukemias; Stem cells; Dynamical systems; Stochastic processes; Molecular determinism; Driver and passenger mutations
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.