Control of bursting behavior in neurons by autaptic modulation
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ORIGINAL ARTICLE
Control of bursting behavior in neurons by autaptic modulation Lei Wang • Yanjun Zeng
Received: 12 January 2013 / Accepted: 28 March 2013 / Published online: 18 April 2013 Ó Springer-Verlag Italia 2013
Abstract Firing properties of biological neurons have long been recognized to be determined by extrinsic synaptic afferents that neurons receive and intrinsic ionic mechanisms that neurons possess, however, previous researches have also demonstrated that firing behavior of single neurons can be modulated by the neurons themselves, realized by the autapses. Thus in this investigation, we argued that how autaptic modulations shape the bursting behavior of biological neurons. We considered the issue from the following two aspects: autaptic-excitation and -inhibition. Our results suggested that for autapticexcitation, under the condition of relatively weak stimulus, regular bursting was more incline to occur when the autaptic strength was weak, while regular spiking was more likely to appear when the autaptic strength was strong. However, larger stimulus would diminish the portion of bursting, but increase the portion of spiking. For autapticinhibition, under relatively weak stimulus, a wide range of regular bursting emerges when the autaptic strength was small, but when stronger stimulus were applied, the range of regular bursting shrinked into a small region. Meanwhile, we observed that synaptic delays have no obvious effects in the case of autaptic-excitation, while a subtle
L. Wang Department of Mathematics, South China University of Technology, 510640 Guangzhou, China L. Wang School of Biomedical Enginerring, Shanghai Jiao Tong University, 200240 Shanghai, China Y. Zeng (&) Biomedical Engineering Center, Beijing University of Technology, 100022 Beijing, China e-mail: [email protected]
effect of synaptic delays was observed in the case of autaptic-inhibition. These results showed that bursting behavior of neurons could be controlled and modulated by the autaptic mechanisms that biological neurons intrinsically possess, and the final results may further promote the understanding in the generation of various neuronal firing patterns. Keywords Bursting Autapse Excitation Inhibition ISI bifurcation diagram
Introduction For a long time, synaptic transmissions in the nervous system were recognized to exist among different neurons, while the finding of autapses in neocortical pyramidal neurons by Van der Loos and Glaser in 1972 [1] has changed this view. Autapses is a kind of synapse by which the neurons shape synaptic couplings with themselves, just like feedback loops [2], and have been reported in many types of neurons, e.g. hippocampal neurons of mouse [3], B31/32 neurons of aplysia [4], cerebellar granule cell of mouse [5], and GABAergic neurons in cat visual cortex [6]. To explore the underlying mechanisms the autapses exhibit in neuronal information processing, many researches have been conducted in the past decades. Using a stochastic Hodgkin–Huxley neuron model, Li et al. [7] analyzed
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