Synchronisation and control of proliferation in cycling cell population models with age structure
暂无分享,去创建一个
Stéphane Gaubert | Jean Clairambault | Olivier Fercoq | Frédérique Billy | Thomas Lepoutre | Thomas Ouillon | Shoko Saito | S. Gaubert | Olivier Fercoq | J. Clairambault | F. Billy | T. Lepoutre | Shoko Saito | Thomas Ouillon
[1] Akif Uzman,et al. The cell cycle: Principles of control (Primers in Biology series) , 2007 .
[2] Jean Clairambault,et al. Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models , 2008, 0812.0803.
[3] Jean Charles Gilbert,et al. Numerical Optimization: Theoretical and Practical Aspects , 2003 .
[4] Francis Lévi,et al. Chronotherapeutics: The Relevance of Timing in Cancer Therapy , 2006, Cancer Causes & Control.
[5] S. Reppert,et al. Coordination of circadian timing in mammals , 2002, Nature.
[6] A. Goldstein. Convex programming in Hilbert space , 1964 .
[7] Jean Clairambault,et al. Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle , 2008, Math. Comput. Model..
[8] M. Ffrench,et al. Glucocorticoids induce G1 as well as S-phase lengthening in normal human stimulated lymphocytes: differential effects on cell cycle regulatory proteins. , 1998, Experimental cell research.
[9] F. Lévi,et al. The Circadian Timing System: A Coordinator of Life Processes [Chronobiological Investigations] , 2008, IEEE Engineering in Medicine and Biology Magazine.
[10] I. Tannock,et al. ON THE EXISTENCE OF A Go‐PHASE IN THE CELL CYCLE , 1970 .
[11] A. Arkin,et al. Stochastic mechanisms in gene expression. , 1997, Proceedings of the National Academy of Sciences of the United States of America.
[12] Robert H. Halstead,et al. Matrix Computations , 2011, Encyclopedia of Parallel Computing.
[13] Marek Kimmel,et al. Comparison of Approaches to Modeling of Cell Population Dynamics , 1993, SIAM J. Appl. Math..
[14] Mats Gyllenberg,et al. The inverse problem of linear age-structured population dynamics , 2002 .
[15] Jiri Bartek,et al. Cell-cycle checkpoints and cancer , 2004, Nature.
[16] Albert Goldbeter,et al. Implications of circadian clocks for the rhythmic delivery of cancer therapeutics , 2008, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[17] Stefano Iacobelli,et al. Elevated Serum Cytokines Correlated with Altered Behavior, Serum Cortisol Rhythm, and Dampened 24-Hour Rest-Activity Patterns in Patients with Metastatic Colorectal Cancer , 2005, Clinical Cancer Research.
[18] Dimitri P. Bertsekas,et al. Nonlinear Programming , 1997 .
[19] K. Vermeulen,et al. The cell cycle: a review of regulation, deregulation and therapeutic targets in cancer , 2003, Cell proliferation.
[20] B. Henderson-Sellers,et al. Mathematics and Computers in Simulation , 1995 .
[21] Allen A. Goldstein,et al. Constructive Real Analysis , 1967 .
[22] David O. Morgan,et al. The Cell Cycle: Principles of Control , 2014 .
[23] Ovide Arino,et al. A survey of structured cell population dynamics , 1995, Acta biotheoretica.
[24] W J Hrushesky,et al. Circadian expression of clock genes in human oral mucosa and skin: association with specific cell-cycle phases. , 2001, The American journal of pathology.
[25] Ueli Schibler,et al. Circadian rhythms: mechanisms and therapeutic implications. , 2007, Annual review of pharmacology and toxicology.
[26] D. P. King,et al. Mutagenesis and mapping of a mouse gene, Clock, essential for circadian behavior. , 1994, Science.
[27] A. M'Kendrick. Applications of Mathematics to Medical Problems , 1925, Proceedings of the Edinburgh Mathematical Society.
[28] J. Frédéric Bonnans,et al. Numerical Optimization: Theoretical and Practical Aspects (Universitext) , 2006 .
[29] Francis Lévi,et al. From circadian rhythms to cancer chronotherapeutics , 2002, Chronobiology international.
[30] Laurent Pujo-Menjouet,et al. Analysis of cell kinetics using a cell division marker: mathematical modeling of experimental data. , 2003, Biophysical journal.
[31] Kendrick,et al. Applications of Mathematics to Medical Problems , 1925, Proceedings of the Edinburgh Mathematical Society.
[32] H. M. Pinedo,et al. Prolonged retention of high concentrations of 5-fluorouracil in human and murine tumors as compared with plasma , 2004, Cancer Chemotherapy and Pharmacology.
[33] O D Laerum,et al. DNA synthesis in human bone marrow is circadian stage dependent. , 1991, Blood.
[34] R G Staudte,et al. Planning blocked mitosis experiments for efficient estimation of population-doubling time and cell-cycle time. , 1982, Biometrics.
[35] B. Perthame. Transport Equations in Biology , 2006 .
[36] R J Konopka,et al. Clock mutants of Drosophila melanogaster. , 1971, Proceedings of the National Academy of Sciences of the United States of America.
[37] D K Smith,et al. Numerical Optimization , 2001, J. Oper. Res. Soc..
[38] J Lellouch,et al. Marked 24-h rest/activity rhythms are associated with better quality of life, better response, and longer survival in patients with metastatic colorectal cancer and good performance status. , 2000, Clinical cancer research : an official journal of the American Association for Cancer Research.
[39] A. Kalsbeek,et al. Hypothalamic integration of central and peripheral clocks , 2001, Nature Reviews Neuroscience.
[40] P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .
[41] Albert Goldbeter,et al. Identifying mechanisms of chronotolerance and chronoefficacy for the anticancer drugs 5-fluorouracil and oxaliplatin by computational modeling. , 2009, European journal of pharmaceutical sciences : official journal of the European Federation for Pharmaceutical Sciences.
[42] C. Weitz,et al. Regulation of Daily Locomotor Activity and Sleep by Hypothalamic EGF Receptor Signaling , 2001, Science.
[43] Franck Delaunay,et al. The Circadian Clock Component BMAL1 Is a Critical Regulator of p21WAF1/CIP1 Expression and Hepatocyte Proliferation* , 2008, Journal of Biological Chemistry.
[44] I. Tannock,et al. On the existence of a G 0 -phase in the cell cycle. , 1970, Cell and tissue kinetics.
[45] F. Lévi,et al. The circadian timing system, a coordinator of life processes. implications for the rhythmic delivery of cancer therapeutics , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.
[46] Olivier Fercoq,et al. Optimisation of Cancer Drug Treatments Using Cell Population Dynamics , 2013 .
[47] A. Levine,et al. Surfing the p53 network , 2000, Nature.
[48] Jack Yurkiewicz,et al. Constrained optimization and Lagrange multiplier methods, by D. P. Bertsekas, Academic Press, New York, 1982, 395 pp. Price: $65.00 , 1985, Networks.
[49] Jean Clairambault,et al. An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations , 2007, 0704.3820.
[50] Francis Lévi,et al. Host circadian clock as a control point in tumor progression. , 2002, Journal of the National Cancer Institute.
[51] B. Perthame,et al. General entropy equations for structured population models and scattering , 2004 .
[52] Albert Goldbeter,et al. A cell cycle automaton model for probing circadian patterns of anticancer drug delivery. , 2007, Advanced drug delivery reviews.
[53] G Böck,et al. Cyclin D3 and c-MYC control glucocorticoid-induced cell cycle arrest but not apoptosis in lymphoblastic leukemia cells , 2004, Cell Death and Differentiation.
[54] V. A. Stewart,et al. Blood Stage Malaria Vaccine Eliciting High Antigen-Specific Antibody Concentrations Confers No Protection to Young Children in Western Kenya , 2009, PloS one.
[55] P Ubezio,et al. Desynchronization rate in cell populations: mathematical modeling and experimental data. , 2001, Journal of theoretical biology.
[56] Jean Clairambault,et al. Optimizing cancer pharmacotherapeutics using mathematical modeling and a systems biology approach. , 2011, Personalized medicine.
[57] G. Yarrington. Molecular Cell Biology , 1987, The Yale Journal of Biology and Medicine.
[58] Stéphane Gaubert,et al. Circadian rhythm and cell population growth , 2010, Math. Comput. Model..
[59] Philippe Michel,et al. Circadian rhythm and tumour growth , 2006 .
[60] R. Jordan,et al. Circadian variation in the expression of cell-cycle proteins in human oral epithelium. , 1999, The American journal of pathology.
[61] M. Overton,et al. On minimizing the spectral radius of a nonsymmetric matrix function: optimality conditions and duality theory , 1988 .
[62] Jean Clairambault,et al. A mathematical model of the cell cycle and its control , 2003 .
[63] Paolo Sassone-Corsi,et al. A Web of Circadian Pacemakers , 2002, Cell.
[64] Stefano Iacobelli,et al. Effects of light and food schedules on liver and tumor molecular clocks in mice. , 2005, Journal of the National Cancer Institute.
[65] Jean Clairambault,et al. A Step Toward Optimization of Cancer Therapeutics , 2008 .
[66] D. Bertsekas. On the Goldstein-Levitin-Polyak gradient projection method , 1974, CDC 1974.
[67] Albert Goldbeter,et al. An automaton model for the cell cycle , 2011, Interface Focus.
[68] O. Arino,et al. A Survey of Cell Population Dynamics , 1997 .
[69] Samuel Bernard,et al. Tumor Growth Rate Determines the Timing of Optimal Chronomodulated Treatment Schedules , 2010, PLoS Comput. Biol..
[70] John Jeremy Rice,et al. A plausible model for the digital response of p53 to DNA damage. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[71] Jean Clairambault,et al. Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments , 2009 .
[72] Alexander Shapiro,et al. On Eigenvalue Optimization , 1995, SIAM J. Optim..
[73] Wei Wang,et al. Two-phase dynamics of p53 in the DNA damage response , 2011, Proceedings of the National Academy of Sciences.
[74] Andrzej Swierniak,et al. Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance , 2006 .
[75] T. Lepoutre,et al. Analyse et modélisation de phénomènes de croissance et mouvement issus de la biologie , 2009 .
[76] Francis Levi. Cancer chronotherapeutics , 1998 .
[77] Jean Clairambault,et al. Circadian timing in cancer treatments. , 2010, Annual review of pharmacology and toxicology.
[78] Peng Huang,et al. The Circadian Gene Period2 Plays an Important Role in Tumor Suppression and DNA Damage Response In Vivo , 2002, Cell.
[79] Tosio Kato. Perturbation theory for linear operators , 1966 .
[80] Atsushi Miyawaki,et al. Visualizing Spatiotemporal Dynamics of Multicellular Cell-Cycle Progression , 2008, Cell.
[81] Pierre Gabriel,et al. The contribution of age structure to cell population responses to targeted therapeutics. , 2011, Journal of theoretical biology.
[82] Jean Clairambault,et al. Modeling oxaliplatin drug delivery to circadian rhythms in drug metabolism and host tolerance. , 2007, Advanced drug delivery reviews.
[83] R. Milo,et al. Protein Dynamics in Individual Human Cells: Experiment and Theory , 2009, PloS one.
[84] O. Diekmann,et al. The Dynamics of Physiologically Structured Populations , 1986 .
[85] K. Calman,et al. Immunological Aspects of Cancer Chemotherapy , 1980 .
[86] F. Innocenti,et al. Comparative pharmacokinetic analysis of 5-fluorouracil and its major metabolite 5-fluoro-5,6-dihydrouracil after conventional and reduced test dose in cancer patients. , 2000, Clinical cancer research : an official journal of the American Association for Cancer Research.
[87] Robert B. Diasio,et al. Clinical Pharmacology of 5-Fluorouracil , 1989, Clinical pharmacokinetics.
[88] Claude Basdevant,et al. Optimisation of time-scheduled regimen for anti-cancer drug infusion , 2005 .
[89] S. Yamaguchi,et al. Control Mechanism of the Circadian Clock for Timing of Cell Division in Vivo , 2003, Science.
[90] J. Cicenas,et al. The CDK inhibitors in cancer research and therapy , 2011, Journal of Cancer Research and Clinical Oncology.
[91] Jean Clairambault,et al. An age-and-cyclin-structured cell population model for healthy and tumoral tissues , 2008, Journal of mathematical biology.
[92] Paul Brazhnik,et al. Exploring Mechanisms of the DNA-Damage Response: p53 Pulses and their Possible Relevance to Apoptosis , 2007, Cell cycle.
[93] Vahid Shahrezaei,et al. Analytical distributions for stochastic gene expression , 2008, Proceedings of the National Academy of Sciences.
[94] E. Sherer,et al. Identification of age‐structured models: Cell cycle phase transitions , 2008, Biotechnology and bioengineering.
[95] Michael L. Overton,et al. Large-Scale Optimization of Eigenvalues , 1990, SIAM J. Optim..
[96] Atsushi Miyawaki,et al. Tracing the silhouette of individual cells in S/G2/M phases with fluorescence. , 2008, Chemistry & biology.
[97] B. Perthame,et al. General relative entropy inequality: an illustration on growth models , 2005 .
[98] Dominik Wodarz,et al. Drug resistance in cancer: principles of emergence and prevention. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[99] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.