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Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues
Af: Frederic Y M Wan Engelsk Paperback
SPAR
kr 159
Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues
Af: Frederic Y M Wan Engelsk Paperback

oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).

Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.

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oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).

Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.

Produktdetaljer
Sprog: Engelsk
Sider: 400
ISBN-13: 9789813143708
Indbinding: Paperback
Udgave:
ISBN-10: 9813143703
Udg. Dato: 13 okt 2017
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Oplagsdato: 13 okt 2017
Forfatter(e): Frederic Y M Wan
Forfatter(e) Frederic Y M Wan


Kategori Matematisk modellering


Sprog Engelsk


Indbinding Paperback


Sider 400


Udgave


Længde 0mm


Bredde 0mm


Højde 0mm


Udg. Dato 13 okt 2017


Oplagsdato 13 okt 2017

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