Diferenciální rovnice v biologii a medicíně

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Title in English Differential Equations in Biology and Medicine
Authors

POSPÍŠIL Zdeněk

Year of publication 2006
Type Article in Periodical
Magazine / Source Vědecké spisy Vysokého učení technického v Brně, Edice Habilitační a inaugurační spisy
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Ordinary differential equations; qualitative theory; estimation of parameters; mathematical modeling; population dynamics; hematology; survival analysis
Description The aim of the work is to present some connections among differential equations and bio-medical sciences. Concrete examples of author's results show that some impulses arising in ecology brings a motivation to an abstract mathematical research in the field of qualitative theory of differential equations, that differential equations models of real phenomena stimulate a subsequent medical research and that a connection of differential equations and mathematical statistics enriches methods of survival analysis. The work also suggests some algorithms for estimations of parameters to certain deterministic models.
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