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Impulsive Mathematical Models of Endocrine Regulation demonstrates recently-developed mathematical models portraying pulse-modulated regulation in endocrine systems, taking a… Read more
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Impulsive Mathematical Models of Endocrine Regulation demonstrates recently-developed mathematical models portraying pulse-modulated regulation in endocrine systems, taking a pragmatic engineering stance by starting with the necessary theoretical background on analytical tools, progressing through a number of mathematical models of increasing complexity, and illustrating the feasibility and fidelity of the mathematical constructs on actual biological data. Compared to a commonplace, theory-oriented book on dynamical systems and control which typically presents a group of design or analysis techniques, the book originates from a real-life problem of fundamental value and introduces mathematical tools that have specifically been devised to solve it.
Researchers in biomedical engineering, biomathematics, biomedical control, and signal processing
Chapter 1: Endocrine Regulation1.1 Biological Facts1.2 Mathematical MdoelsChapter 2: Mathematical Grounds2.1 Impulsive Differential Equations2.2 Hereditary Impulsive Differential Equations2.3 Bifurcation Analysis of Impulsive SystemsChapter 3: Bifurcations and Nonlinear Phenomena in Impulsive Models of Endocrine Regulation3.1 Nonlinear Phenomena in the Impulsive Goodwin’s Oscillator with Small and Without Time Delays3.2 Quasiperiodicity, Border-Collision and Multistability in the Impulsive Goodwin’s Oscillator with a Large Time Delay3.3 Hidden Attractors and Quasiperiodic Period-Doubling the Impulsive Goodwin’s Oscillator with an Arbitrary Time Delay3.4 Bifurcation Phenomena and Mode-locking Dynamics for the Periodically Forced Impulsive Goodwin’s OscillatorChapter 4: Applications4.1 State Estimation4.2 Parameter Estimation
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