Mathematics as a Laboratory Tool Dynamics, Delays and Noise /

• Main Authors: Milton, John (Author), Ohira, Toru (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Subjects: Mathematics.; Neurology.; Cell physiology.; Biomathematics.; Mathematical and Computational Biology.; Cell Physiology.

The importance of mathematics in the undergraduate biology curriculum is ever increasing, as is the importance of biology within the undergraduate applied mathematics curriculum. This ambitious forward thinking book  strives to make concrete  connections between the two fields at the undergraduate l...

Table of Contents:

• Science and the mathematics of black boxes
• The mathematics of change
• Equilibria and steady states
• Stability
• Fixed–points: Creation and destruction
• Transient dynamics
• Frequency domain I: Bode plots and transfer functions
• Frequency domain II: Fourier analysis and power spectra
• Feedback and control systems
• Oscillations
• Beyond limit cycles
• Random perturbations
• Noisy dynamical systems
• Random walkers
• Thermodynamic perspectives.