Diferenciální rovnice v biologii a medicíně
| Title in English | Differential Equations in Biology and Medicine |
|---|---|
| Authors | |
| 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 | |
| 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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