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Over the past few decades, mathematical modeling has been extensively used to understand biological phenomena. From a cellular biology viewpoint, there has been much evidence that biochemical processes depend not only on the present state of the cell but also on previous reactions. The effects of these previous reactions are commonly due to a characteristic time delay between the signal and the response of the system. From a mathematical viewpoint, time delays bring complexity into the study of biological systems, but due to recent advances in the fields of differential delay equations and…mehr

Produktbeschreibung
Over the past few decades, mathematical modeling has been extensively used to understand biological phenomena. From a cellular biology viewpoint, there has been much evidence that biochemical processes depend not only on the present state of the cell but also on previous reactions. The effects of these previous reactions are commonly due to a characteristic time delay between the signal and the response of the system. From a mathematical viewpoint, time delays bring complexity into the study of biological systems, but due to recent advances in the fields of differential delay equations and dynamical systems theory, these problems are now more tractable. The main purpose of this book is to provide a friendly mathematical approach to the analysis of differential delay equations. The analyses presented in this work should help modelers in the field of cell biology to further their understanding of some of the mathematical methods currently used to study gene networks with time delays
Autorenporträt
Anael Verdugo received his bachelor''s degree in mathematics from Caltech in 2003 and his PhD in applied mathematics from Cornell University in 2009. Afterwards, Verdugo was awarded a three year NSF Postdoctoral Fellowship to work at the University of Oxford and Virginia Tech.