Sanjeev Kumar Sharma

Abstracts

3 Diffusion Dynamics of Leech-Heart Inter-Neuron Model

Authors: Sanjeev Kumar Sharma, Ranjit Kumar Upadhyay, Arnab Mondal

Abstract:

We study the spatiotemporal dynamics of a neuronal cable. The processes of one- dimensional (1D) and 2D diffusion are considered for a single variable, which is the membrane voltage, i.e., membrane voltage diffusively interacts for spatiotemporal pattern formalism. The recovery and other variables interact through the membrane voltage. A 3D Leech-Heart (LH) model is introduced to investigate the nonlinear responses of an excitable neuronal cable. The deterministic LH model shows different types of firing properties. We explore the parameter space of the uncoupled LH model and based on the bifurcation diagram, considering v_k2_ashift as a bifurcation parameter, we analyze the 1D diffusion dynamics in three regimes: bursting, regular spiking, and a quiescent state. Depending on parameters, it is shown that the diffusive system may generate regular and irregular bursting or spiking behavior. Further, it is explored a 2D diffusion acting on the membrane voltage, where different types of patterns can be observed. The results show that the LH neurons with different firing characteristics depending on the control parameters participate in a collective behavior of an information processing system that depends on the overall network.

Keywords: Pattern Formation, Stability Analysis, bifurcation, spatio-temporal dynamics

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2 Dynamics of the Coupled Fitzhugh-Rinzel Neurons

Authors: Sanjeev Kumar Sharma, Ranjit Kumar Upadhyay, Arnab Mondal

Abstract:

Excitable cells often produce different oscillatory activities that help us to understand the transmitting and processing of signals in the neural system. We consider a FitzHugh-Rinzel (FH-R) model and studied the different dynamics of the model by considering the parameter c as the predominant parameter. The model exhibits different types of neuronal responses such as regular spiking, mixed-mode bursting oscillations (MMBOs), elliptic bursting, etc. Based on the bifurcation diagram, we consider the three regimes (MMBOs, elliptic bursting, and quiescent state). An analytical treatment for the occurrence of the supercritical Hopf bifurcation is studied. Further, we extend our study to a network of a hundred neurons by considering the bi-directional synaptic coupling between them. In this article, we investigate the alternation of spiking propagation and bursting phenomena of an uncoupled and coupled FH-R neurons. We explore that the complete graph of heterogenous desynchronized neurons can exhibit different types of bursting oscillations for certain coupling strength. For higher coupling strength, all the neurons in the network show complete synchronization.

Keywords: excitable neuron model, spiking-bursting, stability and bifurcation, synchronization networks

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1 Curative Role of Bromoenol Lactone, an Inhibitor of Phospholipase A2 Enzyme, during Cigarette Smoke Condensate Induced Anomalies in Lung Epithelium

Authors: Subodh Kumar, Sanjeev Kumar Sharma, Gaurav Kaushik, Pramod Avti, Phulen Sarma, Bikash Medhi, Krishan Lal Khanduja

Abstract:

Background: It is well known that cigarette smoke is one of the causative factors in various lung diseases especially cancer. Carcinogens and oxidant molecules present in cigarette smoke not only damage the cellular constituents (lipids, proteins, DNA) but may also regulate the molecular pathways involved in inflammation and cancer. Continuous oxidative stress caused by the constituents of cigarette smoke leads to higher PhospholipaseA₂ (PLA₂) activity, resulting in elevated levels of secondary metabolites whose role is well defined in cancer. To reduce the burden of chronic inflammation as well as oxidative stress, and higher levels of secondary metabolites, we checked the curative potential of PLA₂ inhibitor Bromoenol Lactone (BEL) during continuous exposure of cigarette smoke condensate (CSC). Aim: To check the therapeutic potential of Bromoenol Lactone (BEL), an inhibitor of PhospholipaseA₂s, in pathways of CSC-induced changes in type I and type II alveolar epithelial cells. Methods: Effect of BEL on CSC-induced PLA2 activity were checked using colorimetric assay, cellular toxicity using cell viability assay, membrane integrity using fluorescein di-acetate (FDA) uptake assay, reactive oxygen species (ROS) levels and apoptosis markers through flow cytometry, and cellular regulation using MAPKinases levels, in lung epithelium. Results: BEL significantly mimicked CSC-induced PLA₂ activity, ROS levels, apoptosis, and kinases level whereas improved cellular viability and membrane integrity. Conclusions: Current observations revealed that BEL may be a potential therapeutic agent during Cigarette smoke-induced anomalies in lung epithelium.

Keywords: Oxidative Stress, Phospholipase A2, cigarette smoke condensate, alveolar epithelium, bromoenol lactone

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