We consider the FuAcˇik spectrum of p-Laplacian equation -Δpu=αa（x）（u+）p-1+(βa（x）（u-）p-1 x)∈Ω,u=0,x∈Ω in Ω,u=0 on Ω,where Ω is a bounded smooth domain in RN（N≥1） with boundray Ω.We app...We consider the FuAcˇik spectrum of p-Laplacian equation -Δpu=αa（x）（u+）p-1+(βa（x）（u-）p-1 x)∈Ω,u=0,x∈Ω in Ω,u=0 on Ω,where Ω is a bounded smooth domain in RN（N≥1） with boundray Ω.We apply a variant of mountain-pass above equation.Furthermore,we also get a nontrivial solution of a nonresonance problem.展开更多
使用傅里叶红外光谱（FTIR）对南方红豆杉[（Taxus wallichiana var. mairei （Lemee ＆ Leveille） L. K. Fu ＆amp; Nan Li）]样本进行了检测和分析。结果表明,9个南方红豆杉样本的主要共有吸收峰一致,部分共有峰在不同样本中的峰相...使用傅里叶红外光谱（FTIR）对南方红豆杉[（Taxus wallichiana var. mairei （Lemee ＆ Leveille） L. K. Fu ＆amp; Nan Li）]样本进行了检测和分析。结果表明,9个南方红豆杉样本的主要共有吸收峰一致,部分共有峰在不同样本中的峰相对强度有一定的差异。经对叶、树皮和木材不同部位红外光谱进行比较,叶在2850 cm-1处独有的C-H弯曲振动吸收峰、树皮在1741-1730 cm-1范围内无明显吸收峰,这些特征可作为部位间识别的光谱特征。叶和树皮波数在1620 cm-1位置的较强吸收峰强度、在1151-1146 cm-1范围内有明显的吸收峰,可以反映出紫杉醇在树皮和叶样本中的含量明显高于木材。此外,经过对3个产地南方红豆杉样本的比对,证明产地间样本的红外图谱具有一定的差异,主要体现在峰形、特征吸收峰的数量及强度等方面。展开更多
Low-intensity focused ultrasound stimulation(FUS), which possesses high spatial resolution and penetration depth, has been developing rapidly for noninvasive brain neuromodulation in recent years. In this letter, a lo...Low-intensity focused ultrasound stimulation(FUS), which possesses high spatial resolution and penetration depth, has been developing rapidly for noninvasive brain neuromodulation in recent years. In this letter, a low-intensity FUS system was developed for noninvasive brain neuromodulation in vivo. The radius of ultrasonic focal spot was quantitatively calculated in theory to evaluate the spatial resolution. The local field potential(LFP) of rat hippocompus were recorded before and after FUS. The effect of FUS on LFP power spectrum was investigated by computing the LFP mean absolute power and relative power with Welch algorithm. The experiment results show that noninvasive FUS can enhance LFP mean absolute power and alter the LFP relative power at different frequency bands. The results indicate that FUS can modulate brain rhythms and has significant potential in the modulation of neuronal and psychiatric diseases.展开更多
文摘We consider the FuAcˇik spectrum of p-Laplacian equation -Δpu=αa（x）（u+）p-1+(βa（x）（u-）p-1 x)∈Ω,u=0,x∈Ω in Ω,u=0 on Ω,where Ω is a bounded smooth domain in RN（N≥1） with boundray Ω.We apply a variant of mountain-pass above equation.Furthermore,we also get a nontrivial solution of a nonresonance problem.
文摘使用傅里叶红外光谱（FTIR）对南方红豆杉[（Taxus wallichiana var. mairei （Lemee ＆ Leveille） L. K. Fu ＆amp; Nan Li）]样本进行了检测和分析。结果表明,9个南方红豆杉样本的主要共有吸收峰一致,部分共有峰在不同样本中的峰相对强度有一定的差异。经对叶、树皮和木材不同部位红外光谱进行比较,叶在2850 cm-1处独有的C-H弯曲振动吸收峰、树皮在1741-1730 cm-1范围内无明显吸收峰,这些特征可作为部位间识别的光谱特征。叶和树皮波数在1620 cm-1位置的较强吸收峰强度、在1151-1146 cm-1范围内有明显的吸收峰,可以反映出紫杉醇在树皮和叶样本中的含量明显高于木材。此外,经过对3个产地南方红豆杉样本的比对,证明产地间样本的红外图谱具有一定的差异,主要体现在峰形、特征吸收峰的数量及强度等方面。
基金National Natural Science Foundation of Chinagrant number:61503321+1 种基金Natural Science Foundation of Hebei Provincegrant number:F2014203161
文摘Low-intensity focused ultrasound stimulation(FUS), which possesses high spatial resolution and penetration depth, has been developing rapidly for noninvasive brain neuromodulation in recent years. In this letter, a low-intensity FUS system was developed for noninvasive brain neuromodulation in vivo. The radius of ultrasonic focal spot was quantitatively calculated in theory to evaluate the spatial resolution. The local field potential(LFP) of rat hippocompus were recorded before and after FUS. The effect of FUS on LFP power spectrum was investigated by computing the LFP mean absolute power and relative power with Welch algorithm. The experiment results show that noninvasive FUS can enhance LFP mean absolute power and alter the LFP relative power at different frequency bands. The results indicate that FUS can modulate brain rhythms and has significant potential in the modulation of neuronal and psychiatric diseases.
