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001 978-1-4614-4178-6
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008 121026s2013 xxu| s |||| 0|eng d
020 _a9781461441786
_9978-1-4614-4178-6
024 7 _a10.1007/978-1-4614-4178-6
_2doi
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a570.285
_223
100 1 _aLedzewicz, Urszula.
_eeditor.
245 1 0 _aMathematical Methods and Models in Biomedicine
_h[electronic resource] /
_cedited by Urszula Ledzewicz, Heinz Schättler, Avner Friedman, Eugene Kashdan.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXI, 427 p. 94 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes on Mathematical Modelling in the Life Sciences,
_x2193-4789
505 0 _aSpatial aspects of HIV infection -- Basic Principles in Modeling Adaptive Regulation and Immunodominance -- Evolutionary Principles In Viral Epitopes -- A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: the Role of Randomness -- Modeling Tumor Blood Vessel Dynamics -- Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms -- The Steady State of Multicellular Tumour Spheroids: a Modelling Challenge -- Deciphering Fate Decision in Normal and Cancer Stem Cells – Mathematical Models and Their Experimental Verification. -- Data Assimilation in Brain Tumor Models -- Optimisation of Cancer Drug Treatments Using Cell Population Dynamics -- Tumor Development under Combination Treatments with Antiangiogenic Therapies -- Saturable Fractal Pharmacokinetics and Its Applications -- A MathematicalModel of Gene Therapy for the Treatment of Cancer -- Epidemiological Models with Seasonality -- Periodic Incidence in a Discrete-Time SIS Epidemic Model.
520 _aMathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.
650 0 _aMathematics.
650 0 _aLife sciences.
650 0 _aMathematical optimization.
650 0 _aBiomedical engineering.
650 1 4 _aMathematics.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aLife Sciences, general.
650 2 4 _aBiomedical Engineering.
650 2 4 _aOptimization.
700 1 _aSchättler, Heinz.
_eeditor.
700 1 _aFriedman, Avner.
_eeditor.
700 1 _aKashdan, Eugene.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461441779
830 0 _aLecture Notes on Mathematical Modelling in the Life Sciences,
_x2193-4789
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-4178-6
912 _aZDB-2-SMA
999 _c95081
_d95081