标题： 一种关于梦境形成和自发认知活动的神经动力学数学模型 显示英文标题

标题： A Neuro-Dynamic Mathematical Model of Dream Formation and Spontaneous Cognitive Activity

摘要： 本文介绍了一种生物数学模型，旨在描述梦的内部形成动力学和自发认知过程。 该模型结合了神经认知因素，如不满、接纳、遗忘和精神活动，每个因素都与已确立的神经系统相关联。 我们建立了一组微分方程来模拟这些变量之间的相互作用，并使用模拟的神经数据验证了模型。 我们的结果显示了与脑电图（EEG）和功能性磁共振成像（fMRI）研究结果一致的具有生物学合理性的认知模式，特别是与默认模式网络（DMN）、前扣带皮层（ACC）和海马记忆机制有关。 显示英文摘要

摘要： This paper introduces a biomathematical model designed to describe the internal dynamics of dream formation and spontaneous cognitive processes. The model incorporates neurocognitive factors such as dissatisfaction, acceptance, forgetting, and mental activity, each of which is linked to established neural systems. We formulate a system of differential equations to simulate interactions among these variables and validate the model using simulated neural data. Our results demonstrate biologically plausible cognitive patterns consistent with findings from EEG and fMRI studies, particularly related to the default mode network (DMN), anterior cingulate cortex (ACC), and hippocampal memory mechanisms.