Communications in Nonlinear Science and Numerical Simulation
Special Issue on Excitable Dynamics in Neural and Cardiac Systems
• 大类 : 物理 - 2区
• 小类 : 应用数学 - 1区
• 小类 : 数学跨学科应用 - 2区
• 小类 : 力学 - 2区
• 小类 : 物理：流体与等离子体 - 2区
• 小类 : 物理：数学物理 - 1区
Nervous tissue and heart muscle are important examples of biological excitable media. A key characteristic of an excitable medium is its capacity to allow the passage of electrical excitation from one element to another by means of local coupling. For neural and cardiac systems, this corresponds to their ability to respond strongly to the action of a relatively weak external stimulus delivered after the so-called refractory period (relatively weakbut strong enough to allow the membrane potential to cross the excitability threshold).
This special issue aims at providing an overview of recent theoretical and computational around neural and cardiac systems. The basic elements of both systems are excitable cells, neurons or cardiac myocytes respectively, which interact to form nervous tissue or heart muscle. The extensive use of mathematical and numerical techniques has allowed detailed studies to describe these two incredibly complex systems and to investigate underlying mechanisms. As both systems share important characteristics but have specific particularities, major objectives of this issue are, on the one hand, to show how both can be analyzed using similar techniques and, on the other hand, to showcase the dynamics of each particular system.
Specific topics of interest for this special issue focus on mathematical and numerical studies of the nonlinear dynamics of neuronal and cardiac systems, from isolated and coupled cells towards neuronal networks and cardiac tissue, using numerical modeling and time series analysis to elucidate the mechanisms underlying the onset, perpetuation, and control of complex neuronal and cardiac dynamics in health and disease.
Thus, the key objective of this special issue is twofold. First, to propose a snapshot of the current research landscape on these two remarkable examples of excitable media. Second, to emphasize the numerous links between studies on these two excitable scenarios by means of different theoretical (mathematical) and computational approaches. This undoubtedly lies within the scope of the Journal.