- Published on Tuesday, 26 September 2017 21:33
There is growing evidence that future research on neural systems and higher brain functions will require a combination of classic neuroscience and the more recent nonlinear dynamics. The neuronal system composed of neurons and gliocytes is often sensitive to external forcing and internal shift in functional parameters, so that the appropriate response can be selected. This characteristic resembles the properties of chaotic systems. There is some evidence to support the claim that chaos occurs in many biological systems, like the human brain and heart. For example, it appears that the dynamics in electroencephalogram (EEG) signals are chaotic. The EEG signals may look random to outside observers, but there are hidden patterns in their random-like appearance. Another example of chaos in biological systems is the dynamics at the neuronal level (cellular and subcellular). The transportation and storing of information in the brain is believed to be accomplished by the impulse trains produced by neurons. These trains of impulses or action potentials are often organized as sequences of bursts. The most important information in these sequences involves their temporal patterns, which are also known as interspike intervals (ISIs). The ISIs in a single neuron can show different behaviors including chaos. These impulses are generated by the interaction between the gating of ion channels and the axon’s membrane voltage. Hodgkin and Huxley were the pioneers who proposed a dynamical system model of this interaction that predicted realistic action potentials. Their model has been simplified in several forms by some other researchers. There are many recent papers that clearly show the existance of well known bifurcations and routes to chaos in heart. Also similar claims exist about kidney, lung, ... . More than that, many diseases and disorders have been named dynamical diseases. From them we can point out migraine, epilepsy, bipolar disorder, and so on.
In this special issue we plan to review the current state of art about Chaos and Nonlinear Dynamics in Biological Systems and point out the directions of further studies. New evidences of real experimental data as well as theoretical concepts are presented. Papers investigating the relation between some new hot topics in nonlinear dynamics (e.g. Chimera states, Spiral waves, hidden attractors, multi-stability) and biological systems are mostly welcomed.
Call for papers: We would like to cordially invite further authors to submit their original research papers for this special issue along the lines described above. An extended description of the critical aspects/open problems of the methods presented will be a stringent criterion of pre-selection of papers to be sent to referees. Articles may be one of four types: (i) minireviews (10-15 pages), (ii) tutorial reviews (15+ pages), (iii) original paper v1 (5-10 pages), or (iv) original paper v2 (3-5 pages). More detailed descriptions of each paper type can be found here.
Manuscripts should be prepared using the latex template of EPJ ST which can be downloaded here.
Guest Editors: Tomasz Kapitaniak (Division of Dynamics, Technical University of Lodz, Lodz, Poland) and Sajad Jafari (Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran)
Submission Deadline: 31 January 2018
- Published on Tuesday, 04 April 2017 18:08
The fractional dynamic is a field of study in mathematics and physics investigating the behavior of objects and systems by using differentiations of fractional orders. Due to its widespread applications in science and technology, research within the fractional dynamical systems has led to new developments that have attracted the attention of considerable audience of professionals such as mathematicians, physicists, applied researches and practitioners. Unlike integer-order models, fractional-order models have the potential to capture nonlocal relations in time and space with power law memory kernels. This makes them providing more realistic and adequate descriptions for many real-world phenomena. In spite of the tremendous number of published results in the literature, there remain many open problems that need more investigations.
In this special issue, we provide an international forum for researchers to contribute with original research as well as review papers focusing on the latest achievements in the theory and applications of fractional dynamical systems. Potential topics include, but not limited to, recent results in:
- Fractional Differential Systems
- Fractional Difference Systems
- Fractional Functional Differential Systems
- Fractional Impulsive Systems
- Fractional Uncertain Systems
- Fractional Fuzzy Systems
- Fractional Control Problem.
- Fractional Modelling to Real-World Phenomena
Deadline for submission: Authors are cordially invited to submit high quality and original research papers before July 30, 2017.
Submissions should follow the guidelines of EPJ ST, which can be found here.
Latex macros may be downloaded here.