Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

Partial differential equations (PDEs) play a dominant role in the mathematical modeling of many complex dynamical processes. Solving these PDEs often requires prohibitively high computational costs, especially when multiple evaluations must be made for different parameters or conditions. After training, neural operators can provide PDEs solutions significantly faster than traditional PDE solvers. In this work, invariance properties and computational complexity of two neural operators are examined for transport PDE of a scalar quantity. Neural operator based on graph kernel network (GKN) operates on graph-structured data to incorporate nonlocal dependencies. Here we propose a modified formulation of GKN to achieve frame invariance. Vector cloud neural network (VCNN) is an alternate neural operator with embedded frame invariance which operates on point cloud data. GKN-based neural operator demonstrates slightly better predictive performance compared to VCNN. However, GKN requires an excessively high computational cost that increases quadratically with the increasing number of discretized objects as compared to a linear increase for VCNN.     

Maternal consumption of ɷ3 attenuates metabolic disruption elicited by saturated fatty acids-enriched diet in offspring rats

Background and aimsHigh-fat diet (HFD) intake during gestation and lactation has been associated with an increased risk of developing cardiometabolic disorders in adult offspring. We investigated whether metabolic alterations resulting from the maternal consumption of HFD are prevented by the addition of omega-3 (?3) in the diet.Methods and resultsWistar rat dams were fed a control (C: 19% of lipids and ?6:?3 = 12), HF (HF: 33% lipids and ?6:?3 = 21), or HF enriched with ?3 (HFω3: 33% lipids and ?6:?3 = 9) diet during gestation and lactation, and their offspring food consumption, murinometric measurements, serum levels of metabolic markers, insulin and pyruvate sensitivity tests were evaluated. The maternal HFD increased body weight at birth, dyslipidemia, and elevated fasting glucose levels in the HF group. The enrichment of ?3 in the maternal HFD led to lower birth weight and improved lipid, glycemic, and transaminase biochemical profile of the HFω3 group until the beginning of adulthood. However, at later adulthood of the offspring, there was no improvement in these biochemical parameters.ConclusionOur findings show the maternal consumption of high-fat ?3-rich diet is able to attenuate or prevent metabolic disruption elicited by HFD in offspring until 90 days old, but not in the long term, as observed at 300 days old of the offspring.     

痛情绪相关神经递质及神经环路研究进展＊

痛情绪是指因疼痛引发的情绪和情感体验，是疾病过程中最常见的一种情绪。痛情绪相关神经机制非常复杂，但主要与单胺类神经递质、神经肽和某些神经环路有关，笔者将结合目前研究现状分别从以上两方面展开，就痛情绪相关单胺类神经递质和神经肽在受体分类、脑区通路、共疾病以及各神经递质之间的联系和痛情绪相关神经环路中各个蛋白的作用机制等方面进行探讨。     

大补元煎通过上调BDNF/TrkB/CREB信号通路改善APP/PS1双转基因痴呆小鼠海马突触可塑性

目的:观察大补元煎对APP/PS1痴呆小鼠海马突触可塑性及脑源性神经营养因子(BDNF)/酪氨酸蛋白激酶受体B(TrkB)/环磷酸腺苷反应元件结合蛋白(CREB)信号通路的作用,并探讨其改善突触可塑性的可能机制。方法:将APP/PS1小鼠36只分为模型组、多奈哌齐组(6.5×10~(-4)g·kg~(-1)·d~(-1))和大补元煎组(13.2 g·kg~(-1)·d~(-1)),野生鼠12只设为正常组,正常组和模型组给予等体积生理盐水,各组连续灌胃30 d。应用Morris水迷宫检测各组小鼠的学习记忆能力,应用尼氏染色和高尔基染色观察海马区神经元和突触的病理形态变化,应用免疫荧光(IF)观察海马突触后致密蛋白95(PSD95)及突触素(SYN)的蛋白表达水平,采用蛋白免疫印迹法(Western blot)检测海马中BDNF,TrkB,CREB及磷酸化CREB(p-CREB)的蛋白表达水平。结果:与空白组比较,模型组小鼠平台潜伏期和游泳总路程增加(P0.01),穿越平台次数和目标象限停留时间减少(P0.01),小鼠海马CA3区神经元胞内尼氏体减少或消失,小鼠海马CA3区神经元及树突分支数量、树突棘密度减少(P0.01),小鼠海马SYN,PSD95,BDNF,TrkB及p-CREB的蛋白表达水平减少(P0.01)。与模型组比较,多奈哌齐组和大补元煎组小鼠平台潜伏期和游泳总路程减少(P0.05,P0.01),穿越平台次数和目标象限停留时间增加(P0.05,P0.01),小鼠海马CA3区神经元胞内尼氏体数量增多,小鼠海马CA3区神经元及树突分支数量,树突棘密度增加(P0.05,P0.01),小鼠海马SYN,PSD95,BDNF,TrkB及p-CREB的蛋白表达水平增加(P0.05,P0.01)。结论:大补元煎改善APP/PS1双转基因小鼠突触可塑性的机制可能与其上调小鼠海马中BDNF/TrkB/CREB信号通路有关。     

基于神经网络和支持向量机的中医体质辨识模型研究＊

目的 提出基于舌象和形体特征的中医体质辨识模型，探讨中医以舌辨质客观化、规范化方法。方法 提取客观化的舌象特征（舌质与舌苔的色度和饱和度、舌苔纹理的平均亮度、平滑度以及齿痕特征）和形体特征，建立基于神经网络和支持向量机的客观化舌象和形体特征的辅助中医体质识别模型。结果 对平和质、气虚质、阴虚质和气淤质四种体质进行模型的训练和测试，结果表明融合舌象特征和形体特征的中医体质辨识模型能有效地辅助中医体质识别，且支持向量机对四种体质辨识效果总体上优于神经网络。结论 基于客观化的舌象特征和形体特征辅助中医体质辨识有利于提高中医体质辨识的客观化水平，合理选择机器学习算法可以提高中医体质辨识的准确性。     

Chronic brain stimulation rewarding experience ameliorates depression-induced cognitive deficits and restores aberrant plasticity in the prefrontal cortex

Background

Major depressive disorder (MDD) is a multifactorial disease which often coexists with cognitive deficits. Depression-induced cognitive deficits are known to be associated with aberrant reward processing, neurochemical and structural alterations. Recent studies have shown that chronic electrical stimulation of brain reward areas induces a robust antidepressant effect. However, the effects of repeated electrical self-stimulation of lateral hypothalamus - medial forebrain bundle (LH-MFB) on depression-induced cognitive deficits and associated neurochemical and structural alterations in the prefrontal cortex (PFC) are unknown.

Acquired semi-squamatization during chemotherapy suggests differentiation as a therapeutic strategy for bladder cancer

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基于粒子群优化的BP神经网络对血脂异常气郁痰阻型中医证候的疗效预测＊

目的 选用两种药物分析对血脂异常、中医证候的疗效，以中医证候积分为基础建立血脂异常气郁痰阻型的疗效表征模型，进而提出基于粒子群优化的BP神经网络预测两种方法的疗效。方法 收集50名符合血脂异常气郁痰阻型患者的基本资料，将患者随机分为解郁祛痰化浊方组（JQHP）、血脂康胶囊组（XZKC），每组25例，观察疗程12周治疗前后的血脂水平，治疗前及治疗期间每4周记录一次中医证候积分，共4次。定性疗效分析参考血脂防治指南和中医疗效积分，采用t检验、非参数检验及X²分析的方法；神经网络模型采用粒子群优化的BP神经网络，定量构建血脂异常气郁痰阻证的预测模型，设置为三层网络，输入层节点数为15，隐含层节点数为6，输出层节点数为1。针对JQHP组和XZKC组的数据，分别选择80%的数据进行训练，20%的数据进行验证。结果 两组治疗前、治疗4周、治疗8周、治疗12周的中医证候积分随治疗周期的增加而下降（P < 0.05）。JQHP组除了“形体肥胖”外，其余14项症状均有显著的改善（P < 0.05），XZKC组治疗前后比较除“形体肥胖”、“头晕”、“胸闷”外，其余12项均改善（P < 0.05）。以中医证候积分建立的基于粒子群优化BP神经网络的预测精度高、稳定性佳，可以定量预测两种药物对未知患者的疗效。结论 JQHP和XZKC可以改善血脂异常患者的血脂水平，改善气郁痰阻型患者的症状，此为定性分析。利用中医证候积分建立的基于粒子群优化BP神经网络两种治疗方法的预测模型，可定量预测未知患者的疗效。以此思路将有助于找到一种特定治疗方法的适应人群，从而提高该治疗方法的针对性，实现中医药的智能化、精准化、定量化。     

基于突触可塑性探讨电针改善大脑中动脉闭塞大鼠运动障碍的作用机制

目的：基于突触可塑性观察电针曲池、足三里对大脑中动脉闭塞（MCAO）大鼠运动障碍的改善。方法：将60只雄性SD大鼠随机分为假手术组、模型组、穴位组、非穴组，每组15只。采用Zea Longa线拴法制备MCAO大鼠模型，电针曲池、足三里，干预14 d。通过神经功能评分判断大鼠的神经功能缺损情况；CatWalk步态分析比较各组大鼠运动功能，TTC染色观察脑梗死体积，透射电镜观察突触超微结构和数量，免疫荧光检测缺血侧运动皮层突触相关因子突触后致密物-95（PSD-95)、突触蛋白的表达情况。结果：干预14 d后，与模型组比较，穴位组大鼠神经功能评分降低(P<0.05)；步行速度提高、双足支撑时间缩短(P<0.05)；脑梗死体积减少(P<0.05)；突触超微结构改善明显，突触数量增加(P<0.05)，突触相关因子突触蛋白、PSD-95表达上调(P<0.05)。Catwalk步态参数、脑梗死体积与突触超微结构改善有一致性。结论：电针曲池、足三里穴可改善MCAO大鼠运动障碍，其机制可能与上调突触相关因子的表达，改善突触可塑性有关。