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In this paper, we study a SEIRS model with Neumann boundary condition for a population distributed in a spatial grid. We first discuss the existence and uniqueness of global positive solution with any given positive initial value. Next, we introduce the basic reproduction number of this model. Then we consider the relation between the system of PDE and the discrete ODE model. Finally, we consider the stochastic model and give two laws of large numbers.

A series of lupanol derivatives were synthesized and evaluated in vitro for their inhibitory activities against three human esophageal squamous carcinoma cells lines, Eca-109, TE-1 and EC-9706. Among lupanol derivatives, seven were new compounds, and lupanol cinnamate analogues 5 and 6, hydrazone analogues 9 and 10 presented high activities towards all the tested tumour cells, even higher activities than those of doxorubicine.

A series of lupanol derivatives were synthesized and evaluated

Codeine phosphate is used widely to treat cough and pain. It is actually a sedative, but is known to cause codeine dependence. The exact mechanisms of codeine dependence are not fully understood, but are generally believed to be related to drug-induced neuroadaptation. Metabolites changes can provide information for pathological processes and mechanisms before the shape change. It is very useful for the diagnosis and treatment of drug addiction. We used H NMR spectroscopy in vivo to measure the concentrations of cerebral metabolites in the hippocampus of rats subjected to repeated codeine treatment. After 2 months of codeine treatment, the concentration of N-acetylaspartate was significantly decreased in hippocampi, as was that of glutamate, choline, and taurine. Our study highlights the potential use of metabolic profiling to enhance our understanding of metabolite alteration associated with codeine dependence.

Nine lupeol derivatives were synthesised and assayed in vitro for their antitumour activities against three human tumour cells lines, A549, LAC and HepG2. Of lupeol derivaties, six were new compounds, and five compounds against A549 cells, four compounds against HepG2 cells and three compounds against LAC cells were effective in reducing viability, and the most promising compounds 5, 6 and 9 exhibited high activities against lung and liver cancer cells, even higher activities than those of adriamycin.

Amnestic mild cognitive impairment (aMCI) and vascular cognitive impairment with no dementia (VCIND) are highly predictive of Alzheimer’s disease and vascular dementia. In this study, a 2-dimensional magnetic resonance spectroscopy was performed in 25 patients with aMCI, 28 patients with VCIND, and 32 normal controls (NCs). The concentrations of N-acetyl aspartate (NAA), choline (Cho), myoinositol (MI), and creatine (Cr) were measured, and their ratios were calculated. The patients with aMCI displayed significantly lower NAA/MI bilaterally in the posterior cingulate gyrus (PCG) and white matter of occipital lobe (OLWM) than NC participants or patients with VCIND , whereas patients with VCIND displayed markedly lower NAA/Cho bilaterally in the white matter of frontal lobe (FLWM) and left OLWM, and right dorsal thalamus (DT) than patients with NC or aMCI. Compared with the controls, patients with aMCI displayed lower NAA and NAA/Cr in bilateral PCG, left precuneus, and DT, whereas patients with VCIND displayed lower NAA/Cr in bilateral DT and FLWM. In addition, increased MI in right PCG of patients with aMCI and increased Cho in left FLWM of patients with VCIND were also observed. The results might help guide a clinical differentiation between the 2 disorders.

The present study investigated the effect of early life stress in adolescent rats on brain metabolites, serum corticosterone, and depressive-like behavior. A group of rats were subject to early life stress from postnatal day (PND) 1 to 14. A matched control group was studied. Behavioral tests, serum corticosterone and high-resolution proton magnetic resonance spectroscopy were conducted between PND 30 and 40. In this study, adolescent rats exposed to early life stress demonstrated depressive-like behavior and increased serum corticosterone during adolescence. They also showed reduced glutamate, glutamine, and N-acetyl aspartate (NAA) levels in the prefrontal cortex. A reduced myo-inositol level, consistent with astroglial deficits, was observed but was not statistically significant. Together, these findings characterize the effect of early life stress on adolescent animals and underscore the long-lasting and detrimental effects of childhood adversities.

Ten lupeol dicarboxylic acid monoester derivatives as new potent antitumor agents were synthesized and evaluated for in vitro antitumor activities against A549, LAC, HepG2 and HeLa cell lines. Among them, compounds 1-5 showed excellent antitumor activities against all tested tumor cell lines and compounds 6-10 exhibited high activities against A549, HepG2 and HeLa cells, exceeded lupeol, lupanol and doxorubicin. Compound 2 displayed the highest potent antitumor activities with IC50 values of 5.78 μM against A549 cell, 2.38 μM against LAC cell, 6.14 μM against HepG2 cell and 0.00842 μM against HeLa cell.

γ-aminobutyric acid (GABA) is well-known for its low signal-to-noise ratio in vivo measurement with magnetic resonance spectrum (MRS) technique, especially detecting it at 1.5 Tesla scanners. The objective of this study is to achieve γ-aminobutyric acid concentration of cerebral regions with MEGA-PRESS sequence using a 1.5 T clinical MR scanner. MEAG-editing inserted into the point resolved spectroscopy sequence (PRESS) methods is a J-difference editing. It can detect weakly-coupled signals in GABA and make it visible by subtracting spectrums. In vivo experiments, a single voxel was located in the right Semiovale center of all four participates (two males, two females). MEGA-editing and nonrefocused spectrums were acquired separately by Edit-On/Off technique. The GABA peaks at 3.0 ppm were quite obviously seen, proving the favorable editing efficiency. jMRUI software 4.0 was applied to process the MR data and quantify the subtracted spectrum in the time domain. The vitro experiment was conducted as a standard to calculate the absolute concentration of GABA. The results indicated the feasibility of MEGA-PRESS sequence operating using 1.5 T scanners.

To characterize the brain mapping on reinforcement acupuncture stimulation at ST36 (zusanli), and to discuss the mechanisms of acupuncture to treat diseases. fMRI was performed on 26 healthy Chinese student volunteers. Sixteen subjects were acupunctured at the acupoint ST36, while 10 others at sham-acupoint (lateral from ST36 about 3 cm). The fMRI studies were performed using a gradient echo-EPI sequence. Brain mapping were generated using GE Functool program. Cerebral blood flow and correlation coefficient (CC) of ROl were analyzed. Stimulation at the right ST36 elicited 13 brain functional areas, and 10 of these areas were the same with the sham-acupoint group. However, only the temporal gyrus was specificity while by using reinforcement manual acupuncture (MA) at ST36 (Fisher's Exact test, P=0.022), and the contralateral hemisphere activation was prominent (McNemer test, P=0.020). Our results support the theory of acupuncture about meridian distribution overlapping on the whole body. The special transmission channel of meridian may exists, and it may be consist of spinal nerve and autonomic nerve. However, our results may oppose the theory concerning on stomach meridian walking lateral.

PURPOSE: To study motor cortex mapping in patients with mass lesions near primary motor and sensory cortices with BOLD-fMRI. MATERIAL AND METHODS: 18 patients with mass lesions near primary motor and sensory cortices, and 8 healthy volunteers were investigated with fMRI using a 1.5 T GE Signa scanner. The specific task was repetitive selfpaced index finger to thumb opposition with a frequency of approximately 2 Hz. Each task paradigm consisted of twelve 20-second blocks alternating between rest and activation. All functional data was sent to SUN GE Advanced Workstation 4.0 for post processing. RESULTS: 14 patients showed functional activation near mass lesion, 4 patients failed to show, and one patient with meningeoma was excluded because of heavy head movement. Of 14 patients, the functional activation of eloquent cortex was different between the group with declination of muscle force and the group with normal muscle force, generally the activated areas of the former were more scattered, dislocated, relative smaller than that of the latter. CONCLUSION: fMRI is a valuable method for pre-operative evaluation of neurosurgical patients and probably can evaluate the muscle force pre- and post-operation approximately.

AIM: To evaluate the feasibility of quantifying liver choline concentrations in both normal and apoptotic rabbit livers in vivo, using 1H magnetic resonance spectroscopy (1H-MRS). METHODS: 1H-MRS was performed in 18 rabbits using a 1.5T GE MR system with an eight-channel head/neck receiving coil. Fifteen rabbits were injected with sodium selenite at a dose of 10 μmol/kg to induce the liver cell apoptosis. Point-resolved spectroscopy sequence-localized spectra were obtained from 10 livers once before and once 24 h after sodium selenite injection in vivo. T1 and T2 relaxation time of water and choline was measured separately in the livers of three healthy rabbits and three selenite-treated rabbits. Hematoxylin and eosin and dUTP-biotin nick end labeling (TUNEL) staining was used to detect and confirm apoptosis. Choline peak areas were measured relative to unsuppressed water using LCModel. Relaxation attenuation was corrected using the average of T1 and T2 relaxation time. The choline concentration was quantified using a formula, which was tested by a phantom with a known concentration. RESULTS: Apoptosis of hepatic cells was confirmed by TUNEL assay. In phantom experiment, the choline concentration (3.01 mmol/L), measured by 1H-MRS, was in good agreement with the actual concentration (3 mmol/L). The average T1 and T2 relaxation time of choline was 612 ± 15 ms and 74 ± 4 ms in the control group and 670 ± 27 ms and 78 ± 5 ms in apoptotic livers in vivo, respectively. Choline was quantified in 10 rabbits, once before and once after the injection with sodium selenite. The choline concentration decreased from 14.5 ± 7.57 mmol/L before sodium selenite injection to 10.8 ± 6.58 mmol/L (mean ± SD, n = 10) after treatment (Z = -2.395, P < 0.05, two-sample paired Wilcoxon test). CONCLUSION: 1H-MRS can be used to quantify liver choline in vivo using unsuppressed water as an internal reference. Decreased liver choline concentrations are found in sodium selenite-treated rabbits undergoing liver cell apoptosis.