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2006, Universitext, ISBN 9783540328933, xvi, 298
This text deals with systems of polynomial autonomous ordinary differential equations in two real variables. Suited for a first course in dynamical systems, it... 
Qualitative theory | Numerical solutions | Differential equations | Dynamical Systems and Ergodic Theory | Mathematics | Ordinary Differential Equations | Differentiable dynamical systems
Book
1996, Memoirs of the American Mathematical Society, ISBN 082180443X, Volume no. 577., ix, 100
Book
PLoS ONE, ISSN 1932-6203, 02/2010, Volume 5, Issue 2, p. e9258
..., Lynda Li Song 4, Andrew G. Farr 5, Warren J. Leonard 6, Raphael Kopan 3, Lucio Miele 4, Daniel Hohl 7, Daniela Finke 8, Freddy Radtke 1,* Introduction The skin... 
HUMAN EPITHELIAL-CELLS | IN-VITRO | MOUSE KERATINOCYTES | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | GROWTH | IGM(+) B-CELLS | MICE | T-CELL | EXPRESSION | THYMIC STROMAL LYMPHOPOIETIN | Dermatitis, Atopic - genetics | Skin - metabolism | Humans | Receptor, Notch2 - genetics | Receptors, Notch - genetics | Myeloproliferative Disorders - genetics | Granulocyte Colony-Stimulating Factor - genetics | Dermatitis, Atopic - mortality | Flow Cytometry | Receptors, Cytokine - metabolism | Receptors, Cytokine - genetics | Granulocyte Colony-Stimulating Factor - metabolism | Skin - pathology | Immunoglobulins | Cytokines - metabolism | Mice, Inbred C57BL | Receptors, Notch - physiology | Mice, Transgenic | Survival Rate | Signal Transduction - genetics | Dermatitis, Atopic - physiopathology | Reverse Transcriptase Polymerase Chain Reaction | Mice, Knockout | Receptor, Notch2 - physiology | Animals | Mice, Nude | Models, Biological | Survival Analysis | Myeloproliferative Disorders - physiopathology | Signal Transduction - physiology | Mice | Skin - physiopathology | Receptor, Notch1 - genetics | Myeloproliferative Disorders - mortality | Receptor, Notch1 - physiology | Embryonic development | Psoriasis | Atopic dermatitis | Bone marrow | Transplantation | Skin | B cells | Syngeneic grafts | Pathogenesis | Bone marrow transplantation | Homeostasis | Lichen planus | Inactivation | Dermatitis | Thymus | Signal transduction | Embryogenesis | Biomedical materials | Immunology | Granulocytes | Granulocyte colony-stimulating factor | Lymphocytes | Rodents | Biocompatibility | Drug dosages | Osteopenia | Neutropenia | Spleen | Repressing | Deactivation | Cytokines | Developmental biology | Dermatology | Leukocytes (eosinophilic) | Neutrophils | Keratinocytes | Breast cancer | Gene expression | Myeloproliferative diseases | Hemopoiesis | Signaling | Thymic stromal lymphopoietin | Stem cells | Mast cells | Infiltration | Notch protein | Hematopoietic system | Mutation | Eosinophils
Journal Article
Journal Article
Cell stem cell, ISSN 1934-5909, 2008, Volume 2, Issue 4, pp. 356 - 366
Gain-of-function experiments have demonstrated the potential of Notch signals to expand primitive hematopoietic progenitors, but whether Notch physiologically... 
STEMCELL | PROGENITOR CELLS | B-CELLS | IN-VIVO | C-MYC | MAMMALIAN NOTCH | SELF-RENEWAL | LINEAGE SPECIFICATION | EX-VIVO | HUMAN HOMOLOG | FATE DECISIONS | CELL & TISSUE ENGINEERING | CELL BIOLOGY | Adult Stem Cells - physiology | Blotting, Southern | Receptors, Notch - metabolism | Male | Receptors, Notch - genetics | Genes, Dominant - physiology | Green Fluorescent Proteins - genetics | RNA, Messenger - metabolism | Receptors, Notch - antagonists & inhibitors | Flow Cytometry | Muscle Proteins - metabolism | Hematopoietic Stem Cells - physiology | Antimetabolites, Antineoplastic - pharmacology | Female | Integrases - metabolism | Nuclear Proteins - genetics | Green Fluorescent Proteins - metabolism | Immunoglobulin J Recombination Signal Sequence-Binding Protein - metabolism | Cells, Cultured - drug effects | Signal Transduction | Mice, Inbred C57BL | RNA, Messenger - genetics | Hematopoietic Stem Cell Transplantation | Mice, Transgenic | Nuclear Proteins - metabolism | Transcription Factors - antagonists & inhibitors | Bone Marrow Cells - radiation effects | Transcription Factors - genetics | Reverse Transcriptase Polymerase Chain Reaction | Transcription Factors - metabolism | Animals | Nuclear Proteins - antagonists & inhibitors | Myeloid Cells - metabolism | Cells, Cultured - metabolism | Fluorouracil - pharmacology | Mice | Index Medicus
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 10/2010, Volume 239, Issue 20-22, pp. 1984 - 1999
'Cut-offs' were introduced to model front propagation in reactiondiffusion systems in which the reaction is effectively deactivated at points where the... 
Critical front speeds | Bistable fronts | Reactiondiffusion equations | Geometric desingularization | Cut-offs
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 9/2007, Volume 104, Issue 39, pp. 15454 - 15459
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2008, Volume 245, Issue 7, pp. 1995 - 1995
Journal Article
1991, Lecture notes in mathematics, ISBN 3540545212, Volume 1480, viii, 226
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The... 
Bifurcation theory | Stability | Numerical solutions | Differential equations | Global analysis (Mathematics) | Analysis
Book
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2006, Volume 358, Issue 5, pp. 2291 - 2334
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 6/2015, Volume 66, Issue 3, pp. 607 - 629
... 10.1007/s00033-014-0422-9 Mathematik und Physik ZAMP Wave speeds for the FKPP equation with enhancements of the reaction function Freddy Dumortier and Tasso J. Kaper... 
Engineering | Mathematical Methods in Physics | Reaction–diffusion equations | Enhancement: Cutoff | Traveling waves | Blow-up technique | Theoretical and Applied Mechanics | 35K57 | 34E05 | 34E15 | POLYMERS | MATHEMATICS, APPLIED | SINGULAR PERTURBATION-THEORY | CUTOFF | BIFURCATIONS | LIMIT | MODEL | FRONT PROPAGATION | GEOMETRIC ANALYSIS | Reaction-diffusion equations | POINTS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2003, Volume 188, Issue 2, pp. 512 - 554
The paper deals with Liénard equations of the form x ̇ =y , y ̇ =P(x)+yQ(x) with P and Q polynomials of degree, respectively, 3 and 2. Attention goes to... 
MATHEMATICS | NUMBER
Journal Article
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 6/2011, Volume 139, Issue 6, pp. 2073 - 2085
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2005, Volume 215, Issue 2, pp. 225 - 267
The paper deals with canard solutions at very general turning points of smooth singular perturbation problems in two dimensions. We follow a geometric approach... 
Transition time | Centre manifolds | Degenerate turning point | Singular perturbation | Normal forms | Entry–exit relation | Family blow up | Canard | Entry-exit relation | MATHEMATICS | family blow up | normal forms | singular perturbation | centre manifolds | entry-exit relation | canard | DIFFERENTIAL-EQUATIONS | degenerate turning point | transition time
Journal Article
Qualitative Theory of Dynamical Systems, ISSN 1575-5460, 01/2009, Volume 7, Issue 2, pp. 339 - 366
... Theory DOI 10.1007/s12346-008-0019-9 of Dynamical Systems Limit Periodic Sets in Polynomial Li´ enard Equations Stijn Luca and Freddy Dumortier Abstract... 
34C05 | 34C37 | 34D10 | period annulus | singularities | Difference and Functional Equations | Mathematics, general | Mathematics | Dynamical Systems and Ergodic Theory | Liénard equation | 34C07 | limit periodic set | Limit periodic set | Singularities | Period annulus
Journal Article
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