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Mathematical physiology
James P. Keener,James Sneyd +1 more
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The article was published on 1998-01-01 and is currently open access. It has received 2212 citations till now. The article focuses on the topics: Mathematical physiology.read more
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Dynamical Systems in Neuroscience
TL;DR: This book explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition, providing a link between the two disciplines.
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Feedback Systems: An Introduction for Scientists and Engineers
TL;DR: Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.
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Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell
TL;DR: This work has demonstrated that molecular regulatory networks can be accurately modeled in mathematical terms and shed light on the design principles of biological control systems and make predictions that have been verified experimentally.
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Effects of noise in excitable systems
Benjamin Lindner,Jordi Garcia-Ojalvo,Jordi Garcia-Ojalvo,Alexander Neiman,Alexander Neiman,Lutz Schimansky-Geier,Lutz Schimansky-Geier +6 more
TL;DR: In this article, the behavior of excitable systems driven by Gaussian white noise is reviewed, focusing mainly on those general properties of such systems that are due to noise, and present several applications of their findings in biophysics and lasers.
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Synchronization and rhythmic processes in physiology
TL;DR: Molecular and physical techniques combined with physiological and medical studies are addressing questions concerning the dynamics of physiological rhythms and are transforming the understanding of the rhythms of life.
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A quantitative description of membrane current and its application to conduction and excitation in nerve
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