| 000 | 04506nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-0-8176-4503-8 | ||
| 003 | DE-He213 | ||
| 005 | 20161121231029.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 |
_a9780817645038 _9978-0-8176-4503-8 |
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| 024 | 7 |
_a10.1007/978-0-8176-4503-8 _2doi |
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| 050 | 4 | _aQH301-705 | |
| 072 | 7 |
_aPSA _2bicssc |
|
| 072 | 7 |
_aSCI086000 _2bisacsh |
|
| 082 | 0 | 4 |
_a570 _223 |
| 100 | 1 |
_aBellouquid, Abdelghani. _eauthor. |
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| 245 | 1 | 0 |
_aMathematical Modeling of Complex Biological Systems _h[electronic resource] : _bA Kinetic Theory Approach / _cby Abdelghani Bellouquid, Marcello Delitala. |
| 264 | 1 |
_aBoston, MA : _bBirkhäuser Boston, _c2006. |
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| 300 |
_aXII, 188 p. 47 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 | _aModeling and Simulation in Science, Engineering and Technology | |
| 505 | 0 | _aOn the Modelling of Complex Biological Systems -- Mathematical Frameworks of the Generalized Kinetic (Boltzmann) Theory -- Modelling the Immune Competition and Applications -- On the Cauchy Problem -- Simulations, Biological Interpretations, and Further Modelling Perspectives -- Models with Space Structure and the Derivation of Macroscopic Equations -- Critical Analysis and Forward Perspectives. | |
| 520 | _aThis book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems—comprised of large populations of interacting cells—whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed to deal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditional macroscopic approach. The proposed models are related to the generalized Boltzmann equation and describe the population dynamics of several interacting elements (kinetic population models). The particular models proposed by the authors are based on a framework related to a system of integro-differential equations, defining the evolution of the distribution function over the microscopic state of each element in a given system. Macroscopic information on the behavior of the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The book follows a classical research approach applied to modeling real systems, linking the observation of biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis techniques are used to identify the prediction ability of specific models. The book will be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It may be used for advanced graduate courses and seminars in biological systems modeling with applications to collective social behavior, immunology, and epidemiology. . | ||
| 650 | 0 | _aLife sciences. | |
| 650 | 0 | _aApplied mathematics. | |
| 650 | 0 | _aEngineering mathematics. | |
| 650 | 0 | _aMathematical models. | |
| 650 | 0 | _aBiomathematics. | |
| 650 | 1 | 4 | _aLife Sciences. |
| 650 | 2 | 4 | _aLife Sciences, general. |
| 650 | 2 | 4 | _aMathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | _aMathematical and Computational Biology. |
| 650 | 2 | 4 | _aApplications of Mathematics. |
| 650 | 2 | 4 | _aGenetics and Population Dynamics. |
| 650 | 2 | 4 | _aPhysiological, Cellular and Medical Topics. |
| 700 | 1 |
_aDelitala, Marcello. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780817643959 |
| 830 | 0 | _aModeling and Simulation in Science, Engineering and Technology | |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-8176-4503-8 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c507534 _d507534 |
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