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A Reaction-Diffusion Model of Cholinergic Retinal Waves

机译:胆碱能视网膜波的反应扩散模型

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摘要

Prior to receiving visual stimuli, spontaneous, correlated activity in the retina, called retinal waves, drives activity-dependent developmental programs. Early-stage waves mediated by acetylcholine (ACh) manifest as slow, spreading bursts of action potentials. They are believed to be initiated by the spontaneous firing of Starburst Amacrine Cells (SACs), whose dense, recurrent connectivity then propagates this activity laterally. Their inter-wave interval and shifting wave boundaries are the result of the slow after-hyperpolarization of the SACs creating an evolving mosaic of recruitable and refractory cells, which can and cannot participate in waves, respectively. Recent evidence suggests that cholinergic waves may be modulated by the extracellular concentration of ACh. Here, we construct a simplified, biophysically consistent, reaction-diffusion model of cholinergic retinal waves capable of recapitulating wave dynamics observed in mice retina recordings. The dense, recurrent connectivity of SACs is modeled through local, excitatory coupling occurring via the volume release and diffusion of ACh. In addition to simulation, we are thus able to use non-linear wave theory to connect wave features to underlying physiological parameters, making the model useful in determining appropriate pharmacological manipulations to experimentally produce waves of a prescribed spatiotemporal character. The model is used to determine how ACh mediated connectivity may modulate wave activity, and how parameters such as the spontaneous activation rate and sAHP refractory period contribute to critical wave size variability.
机译:在接受视觉刺激之前,称为视网膜波的视网膜自发相关活动会驱动与活动有关的发育程序。乙酰胆碱(ACh)介导的早期波表现为缓慢的,分散的动作电位爆发。据信,它们是由自爆星爆无长突细胞(SAC)引发的,其密集而又经常性的连通性随后将这种活性横向传播。它们的波间间隔和波边界偏移是SAC的超极化后缓慢产生的结果,SAC形成了可招募和难治性细胞演化的镶嵌体,它们可以和不能分别参与波。最近的证据表明胆碱能波可能受细胞外ACh浓度的调节。在这里,我们构建能够简化小鼠视网膜记录中观察到的波动态的胆碱能视网膜波的简化的,生物物理上一致的反应扩散模型。 SAC的密集,经常性连通性是通过ACh的体积释放和扩散发生的局部兴奋性耦合来建模的。除了模拟,我们还能够使用非线性波动理论将波动特征与潜在的生理参数联系起来,从而使该模型可用于确定适当的药理操作,以实验方式产生规定的时空特征的波动。该模型用于确定ACh介导的连通性如何调节波活动,以及诸如自发激活率和sAHP不应期之类的参数如何对临界波大小可变性做出贡献。

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