Bifurcation of modified HR neural model under direct current
- PDF / 3,863,170 Bytes
- 11 Pages / 595.276 x 790.866 pts Page_size
- 60 Downloads / 174 Views
ORIGINAL RESEARCH
Bifurcation of modified HR neural model under direct current Kaijun Wu1 · Wenqin Li1 · Dicong Wang1 Received: 2 June 2019 / Accepted: 4 September 2019 © Springer-Verlag GmbH Germany, part of Springer Nature 2019
Abstract On the basis of modified HR neuron model, this paper joins a depolarization direct current to investigate the dynamics of modified HR model under action of direct current with numerical computing method by adopting bifurcation diagram of inter-spike interval, the time responses diagram, the phase diagram and the two-parameter bifurcation diagram. These results indicate period adding bifurcation, period-doubling bifurcation as well as paroxysmal and intermittent chaos phenomenon in spiking neuron models can be observed clearly and intuitively, and not bifurcation structure of neuron model but ranges of parameters of various dynamic characteristics after adding direct current can be changed from the two-parameter bifurcation diagram. Keywords Depolarization current · Modified HR neural model · Two-parameter bifurcation diagram
1 Introduction Neuron is the basic structure unit of the biological nervous system and become a key component of the nervous system, which is responsible for transferring information in the nervous system, for instance, the formation, change and spread of biological and electrical signals. Biological nervous system is composed of large numbers of connecting nerve cells, neurons will receive electrical signals from synapse of neuron cells which may affect the dynamic characteristics of neuronal membranes in the ion channels, and finally affect whether the neuron’s action potential will occur, discharge, transmit or not. It amounts to coded input signal. Neurons via synapses transfer the action potential sequence to other neurons and repeat the above coding process, and transmit action potential via synapses between each layer neuron, until to the brain, eventually complete information processing and cognitive process by brain (Wu et al. 2018a). For the process of coding, neurons will inevitably be affected by external stimulus including electrical field stimulation, current stimulation, magnetic stimulation and drug stimulation, etc. After receiving external stimulus, neurons’ discharge time and discharge threshold will be changes, leading * Kaijun Wu [email protected] 1
School of Electronic and Information Engineering, LanZhou JiaoTong University, Lanzhou 730070, China
to the change of neurons’ coding, further affecting production and delivery of information in the nervous system (Wu et al. 2018b, c; Zhang et al. 2011). Therefore, to explore discharge rhythm, change relations and the mechanism of neuron under the condition of external stimulus is an important topic of the current research in neuroscience. External stimulus can change the discharge characteristics of neurons causing the production of nervous system diseases such as Parkinson’s disease, schizophrenia, autism, and epilepsy disease, which are related to abnormal discharge model of neuro
Data Loading...
