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Recent advances in the experimental and theoretical study of dynamics of neuronal electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns, are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast-slow dynamics analysis for classification and mechanism of various bursting patterns, one-or two-parameter bifurcation analysis for transitions of firing patterns, and stochastic dynamics of firing activities (stochastic and coherence resonances, integer multiple and other firing patterns induced by noise, etc.).types of synchronization of coupled neurons with electrical and chemical synapses are discussed. As noise and time delay are inevitable in nervous systems, it is found that noise and time delay may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented for future research. In consequence, the idea and methods of nonlinear dynamics are of great significance in exploration of dynamic processes and physiological functions of nervous systems.

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The properties of equilibria and phase synchronization involving burst synchronization and spike synchronization of two electrically coupled HR neurons are studied in this paper. The findings reveal that in the non-delayed system the existence of equilibria can be turned into intersection of two odd functions, and two types of equilibria with symmetry and non-symmetry can be found. With the stability and bifurcation analysis, the bifurcations of equilibria are investigated. For the delayed system, the equilibria remain unchanged. However, the Hopf bifurcation point is drastically affected by time delay. For the phase synchronization, we focus on the synchronization transition from burst synchronization to spike synchronization in the non-delayed system and the effect of coupling strength and time delay on spike synchronization in delayed system. In addition, corresponding firing rhythms and spike synchronized regions are obtained in the two parameters plane. The results allow us to better understand the properties of equilibria, multi-time-scale properties of synchronization and temporal encoding scheme in neuronal systems.

Nanomaterials have an advantage in “personalized” therapy, which is the ultimate goal of tumor treatment. In order to investigate the potential ability of FePt nanoparticles (NPs) in the diagnosis and chemoradiotherapy treatment of malignant tumors, superparamagnetic, monodispersed FePt (~3 nm) alloy NPs were synthesized, using cysteamine as a capping agent. The NPs were characterized by means of X-ray diffraction; transmission electron microscopy, Physical Property Measurement System, and Fourier transform infrared spectroscopy. The cytotoxicity of FePt NPs on Vero cells was assessed using an MTT assay, and tumor cell proliferation inhibited by individual FePt NPs and FePt NPs combined with X-ray beams were also collected using MTT assays; HeLa human cancer cell lines were used as in vitro models. Further confirmation of the combined effect of FePt NPs and X-rays was verified using HeLa cells, after which, the cellular uptake of FePt NPs was captured by transmission electron microscopy. The results indicated that the growth of HeLa cells was significantly inhibited by FePt NPs in a concentration-dependent manner, and the growth was significantly more inhibited by FePt NPs combined with a series of X-ray beam doses; the individual NPs did not display any remarkable cytotoxicity on Vero cells at a concentration <250 μg/mL. Meanwhile, the FePt NPs showed negative/positive contrast enhancement for MRI/CT molecule imaging at the end of the study. Therefore, the combined results implied that FePt NPs might potentially serve as a promising nanoprobe for the integration of tumor diagnosis and chemoradiotherapy.

The present work exhibited high therapeutic efficacy of FePt nanoparticles in combination with radiotherapy without apparent cytotoxicity, suggesting the potential of FePt nanoparticles as a promising nanoprobe in improving the outcome of tumor chemoradiotherapy.