As shown in figure 2A, wild type competitor duplex, but not mutan

As shown in figure 2A, wild type competitor duplex, but not mutant NF B competitor duplex was able to prevent Binimetinib RelA p65 from binding to the attached consensus sequence. RelA p65 specific siRNA knock down, whose efficacy was checked by immunoblotting, reduced RelA p65 binding activity by 50%. As shown in figure 2B, treatment with SAHA and to a lesser degree treatment with VPA resulted in a time dependent reduction of RelA p65 activity of up to 50%. In PANC 1 cells, 24 h of VPA treatment decreased RelA p65 activity by approximately 25%, however, this effect could not be intensified by extension of treatment periods and was not statistically significant. Although lesser effects were also seen for SAHA at shorter time points, a strong and significant RelA p65 inhibitory effect was only seen after 72 h.

As shown in figure 2A and 2B, treatment of cells with 8 M SAHA for 72 hours was able to diminish RelA p65 binding activity to the same degree as specific RelA p65 siRNA knockdown did. In addition, we found an influence of HDIs SAHA and VPA on the subcel lular localization of RelA p65 by exploratory immunoflu orescence analysis. The results of RelA p65 specific immunofluorescence are shown in figure 2. In untreated PANC 1 cells we observed a strong signal of RelA p65 predominantly in the nucleus. Both SAHA and, to a lesser degree VPA, led to a cytoplasmic retention of the protein after 72 h in stimulated cells. Both, SAHA and VPA did not affect protein levels of I B. Interestingly, phosphorylation of I B was notably inhib ited by both substances after 72 h of treatment.

In con trast, enhanced acetylation of histone H3 could be already observed after 12 h of HDI exposure. Discussion Our study, to our knowledge for the first time, displays a statistically significant in vivo correlation between class I HDAC isoform expression in pancreatic carcinoma and the presence of nuclear RelA p65, a protein known to be a key regulator in pancreatic carcinogenesis. Furthermore, Entinostat we could demonstrate that HDAC inhibitors are effective in inhibiting nuclear activation and binding capability of RelA p65 in pancreatic cancer cells. Although there is strong evidence that aberrant HDAC activity can contribute to the development of cancer, reports on isoform specific expression patterns of HDACs in tumor tissue are sparse. In line with previous studies of our group, which focussed on HDAC expression in malignancies of other organs like prostate and colon, pancreatic tumor tissue displayed a high degree of class I HDAC expression with HDAC3 being the most abundantly expressed isoform.

Ca2 signaling involves parallel and or sequential use of differen

Ca2 signaling involves parallel and or sequential use of different sources of Ca2 and different channels in different sub cellular locations. It was demonstrated in tobacco cells that hypo osmotic shock stimulates Ca2 influxes in a sequential manner, deriving first from external and then internal Ca2 stores and Cisplatin price that these influxes are mediated by Ca2 channels. Thus, the present study provides evidence that Ca2 serves as a second messenger in UV B signal transduction involving activation of genes involved in TIA biosynthesis. Our results also show that UV B activated the generation of ROS in C. roseus cells. The generation of ROS via an oxidative burst was shown to be induced by variety of elicitors, such as yeast elicitor on tobacco, chitin oligosaccharides in tomato, fungal oli gosaccharides in red clover roots, and fungal elicitors in spruce and parsley cell suspensions.

Using NAC, Ca2 channel blocker and broad range of kinase inhibitor staurosporine, we showed that protein phos phorylation and an increase in intracellular calcium levels are required for the UV B induced activation of ROS pro duction. The MAPK cascade inhibitors however had no effect on the production of ROS indicating the ROS pro duction occurs upstream of MAPK cascade activation. The most likely source of UV B induced ROS production in C. roseus is a membrane bound NADPH oxidase complex, which uses molecular oxygen to make superoxide. In Arabidopsis suspension cells, a homologue of the catalytic subunit of the mammalian NADPH oxidase complex was shown to be responsive for ROS accumulation in response to bacterial protein elicitor harpin.

It has been shown that protein phosphorylation is needed for the produc tion of ROS in potato tubers, spruce and tobacco cells. The inhibitory effects of the protein kinase inhibitor staurosporine and Ca2 channel blockers on UV B induced ROS production in the C. roseus cells support the fact that a calcium dependent protein kinase is involved in the UV B induction of ROS production. There are a few reports that CDPK activates NADPH oxi dase. It remains to be determined whether UV B induced ROS are generated via induction of a NADPH oxi dase activity by CDPK. The phosphorylation and dephosphorylation of proteins have been thought to play a key role in the transduction of elicitor signals in plant cells. The data shown here indi cated that irradiation of C.

roseus cells with UV B light strongly activates a 49 kDa putative MAPK and the activa tion of the 49 kDa putative MAPK in response to UV B was associated with tyrosine phosphorylation on the kinase, a distinguishing feature of the large family of MAPK. We conclude that UV B activated 49 kDa putative MAPK is likely a member of the MAPK family. Our results also suggest Carfilzomib the involvement of Ca2 depend ent protein kinase or Ca CaM depend ent protein kinase in the UV B response.

IL 1 is produced

IL 1 is produced www.selleckchem.com/products/Bicalutamide(Casodex).html in response to various stimulants, such as cytokines, bacteria, and viruses, but most interestingly to epinephrine. IL 1 has a broad range of functions which includes activation of neutrophils, endothelial cells, monocytes, T cells, and mast cells. It may also induce procoagulant changes in endothelial tissue. IL 6 induces an acute phase response consisting of increased fibrinogen synthesis and thrombo cytosis with increased vascular permeability. The detec tion of IL 6 in the blood of patients suffering from unstable angina suggests that nuclear factor kappa B activation may be occurring at the vascular level in patients with heart disease. IL 8 is in the CXC family of chemokines and functions to recruit neutrophils to the site of inflammation.

IL 13 exerts multiple effects on cell differentiation and function of monocytes macrophages. It can also suppress the cytotoxic function of monocytes macrophages and the production of proinflammatory cytokines by these cells. Mast cells are found preferentially around blood vessels and beneath the epithelium of the skin and mucus mem branes. Traditionally, mast cells are responsible for allergy and asthma pathogenesis. Typically, mast cell activation occurs in response to cross linkage of the high affinity IgE receptor by antigen and IgE. Acti vation may also occur in response to a range of agents, such as pathogens, cytokines, and even oxidized low den sity lipoprotein. After activation, key mediators secreted by mast cells include preformed mediators like histamine, proteoglycans, proteases, and several cytokines and growth factors.

Mast cells have been observed in both aortic atherosclerotic lesions and in coronary arter ies. The large numbers of mast cells found in the adventi tia of arteries and in the intima are in proportion to the severity of heart disease. The study of the distribu tion, activation, and phenotype of mast cells in lesions of 250 specimens of human carotid arteries by Jeziorski, et al. further supports the role of mast cells in atherogenesis. They demonstrated significant numbers and focal accumulations of mast cells in association with macro phages and extensive activation degranulation at all developmental stages of atherosclerotic lesion develop ment. It now appears likely that inflammatory events and mast cells play an important role in atherogenesis as recently reviewed by us.

Stress is known to influence immune function. An immunoregulatory effect of the sympathetic nervous sys tem in stress has been indicated for some time. Cate cholamines, such as epinephrine, norepinephrine, and dopamine, are elevated in stress responses, and mediate vasoconstriction Dacomitinib and an increase in blood pressure as a result of increased peripheral vascular resistance. In disor ders such as sepsis, cardiovascular disease, or cocaine abuse, catecholamines are elaborated in excess.

gingivalis into Ca9 22 cells Overe pression

gingivalis into Ca9 22 cells. Overe pression Multiple myeloma of the active form of Rab5 increased invasion of P. gingivalis Rab5 proteins switch between two distinct conforma tions, an active state characterized by binding to GTP and an inactive state bound to GDP. To test whether the activity of Rab5 affects P. ginigvalis invasion into cells, Ca9 22 cells e pressing fluorescent labeled GFP alone, GFP Rab5, and GFP Rab5 were treated with P. gingivalis, and localization of Rab5 and P. ginigvalis in the cells was observed by a confocal laser scanning microscope. Transfected GFP Rab5 was co localize with P. gingivalis in the cells. In contrast, GFP Rab5 did not co localize with P. gingivalis in the cells. We ne t trans fected vectors e pressing GFP alone, GFP Rab5 and GFP Rab5 into Ca9 22 cells.

The transfected e amined the e pression of Rab5 in Ca9 22 cells by Western blotting. As shown in Figure 6B, Rab5 was e pressed in Ca9 22 cells. However, the level of e pres sion was not affected by TNF. We ne t investigated the role of Rab5 in P. gingivalis invasion using an siRNA interference approach. Invasion assays were carried out following transfection of Rab5 specific siRNA at a con centration of 100 pmol for 24 h. Then e pression of Rab5 in the cells was e amined by Western blotting. The Rab5 siRNA transfected Ca9 22 cells cells were then treated with P. ginigvalis and the levels of invasion were compared among those cells. Internaliza tion of P. gingivalis into cells was increased in Ca9 22 cells e pressing GFP Rab5 compared to that in Ca9 22 cells e pressing GFP alone.

On the other hand, overe pression of GFP Rab5 sup pressed invasion of P. gingivalis into the cells. These results suggest that the activity of Rab5 influences P. gin givalis invasion. TNF was associated with activity of Rab5 through the JNK pathway Several cytokines can control the activity of Rab5 to regulate the rate of endocytosis through activating the downstream signaling pathway. Therefore, we e amined whether activation of Rab5 was affected by MAP kinases activated with TNF signals using a pull down ap proach with a fusion protein that selectively binds GTP loaded Rab5. The system selectively bound GTP bound Rab5. Ca9 22 cells were transfected with an e pression vector with inserted GFP Rab5 gene. The transfected cells were preincubated with MAP kinase inhibitors, including a p38 inhibitor, JNK inhibitor and ERK inhibitor, and were then incubated with TNF.

The active form of Rab5 in the cell lysates was subjected Entinostat by a GST R5BD pull down assay and was analyzed by Western blotting. Level of the active form of Rab5 induced by TNF was not affected by treatments with SB203580 Perifosine IC50 and PD98059. However, treatment with SP60015 decreased the level of the active form of Rab5 induced by TNF. These re sults suggest that JNK kinase mediates activation of Rab5 by stimulation with TNF. Furthermore, we invastigated whether NF kB inhibition affects the acti vation of Rab5.

It is important to emphasize that reduced phospho ERK and phosho

It is important to emphasize that reduced phospho ERK and phosho Akt does enough not prove that Ras proteins themselves were inhibited, as indirect effects are also conceivable. While the amount of tissue available limited the number of signaling proteins that could be analyzed after the FT assay was performed using most of the sample, this observation suggests ei ther that more complete blockade of these pathways is necessary in order to have tumor regression, or that sal vage mechanisms can arise that enable tumor growth despite inhibition of these pathways. Recent experience with BRAF inhibitors has suggested that a very high level of pathway inhibition is necessary in order to achieve clinical tumor shrinkage.

One hypothetical salvage mechanism is through regulated expression of MAP Kinase phosphatases, which might be highly expressed in tumor cells that have constitutive ERK acti vation, but may decrease in expression when the ERK pathway is partially inhibited, thus resulting in little change in the final output of ERK phosphorylation of target genes. These and other potential mechanisms of resistance will be of interest to pursue in future studies of targeted inhibitors in melanoma. Introduction Pancreatic cancer remains one of the most challenging conditions to treat, due to extremely poor prognosis with the overall five year survival of less than 10%. During the last decades, gemcitabine has been the standard single agent chemotherapy for unresectable pancreatic cancer. Regarding combination chemo therapy, several phase III trials of gemcitabine based multi drug regimens have been attempted, whereas significant improvement in survival has not been observed.

Although TS 1, a prodrug of 5 FU, has been employed as a major alternative approach in a variety of solid tumors, the single agent treatment of TS 1 yielded non inferiority result against the gemcitabine treatment. After all, once pancreatic cancer became refractory to gemcitabine, there is virtually no effective treatment for the patients. Hence, novel strategy providing better survival benefit is urgently required, in particular, for the patients with advanced pancreatic cancer. Cancer immunotherapy is a promising approach to fight against cancer, and thus we have conducted research and development of peptide vaccines targeting tumor specific antigens.

Briefly, we identified dozens of cancer testis or oncofetal proteins from more than 1,000 clinical cancer tissues using cDNA microarray including 32,000 genes or ESTs. Utilizing the result of this genome wide expression profile analysis, we tried to establish an epitope peptide derived from the tumor associated antigen mentioned above, which is applicable AV-951 Ceritinib clinical trial for cancer peptide vaccination. KIF20A, kinesin family member 20A, is one of the candidates of such target antigen, as it was up regulated in the majority of pancreatic cancer.

Immunoprecip itations performed with an anti SIRT1 or anti MMP7

Immunoprecip itations performed with an anti SIRT1 or anti MMP7 antibody in OSCC cells failed to identify any endogenous molecular binding between SIRT1 and MMP7. This result indicated that SIRT1 could influence MMP7 e pression, secretion, and activity. and subse quently, cell migration, invasion, and metastasis through its target proteins. SIRT1 deacetylates Smad4 in OSCC cells MMP7 has been shown to be important for accelerating cancer invasion and metastasis in multiple tissues, but does not seem to be necessary for invasion or fibrosis of colon cancer, in which Smad4 dependent transforming growth factor B family signaling is blocked. Thus MMP7 is not needed for tissue invasion in Smad4 deficient adenocarcinomas.

Additionally, a previous study revealed that SIRT1 directly interacts with and deacety lates the negative regulator of TGF B signaling, Smad7, to destabilize the protein in a mesangial kidney cell line. We therefore postulated that SIRT1 might affect MMP7 through its interactions with Smad4, a TGF B activated transcription factor. To test this hypothesis, we first used an immunoprecipitation assay to e amine the ability of SIRT1 to bind to Smad4. Our results showed that while SIRT1 directly interacted with Smad4 in vivo, it did not interact with Smad2 protein. We also performed a co immunoprecipitation e periment to e amine the ability of Smad4 to bind SIRT1. Western blotting detected SIRT1 in the Smad4 immunoprecipitate from nuclear e tracts of OSCCs. We ne t e amined whether SIRT1 could directly deacetylate Smad4.

We immunopurified endogenous Smad4 from SIRT1 knock down OECM1 and HSC3 cells, and probed western blots with antibodies to Smad4 proteins or acetylated lysine. This e periment showed that SIRT1 silencing significantly increased the level of acetylated Smad4 in SIRT1 knockdown OSCC cells. Furthermore, we also confirmed the acetylation levels of Smad4 in OECM1 and HSC3 cells at 0, 16, 24, and 48 h after transfection with the SIRT1 e pression vector. Overe pression of SIRT1 clearly reduced the acetylation levels of Smad4, while knockdown of SIRT1 increased the acetylation levels. These results suggest that while SIRT1 associates with and deacetylates Smad4, the SIRT1 deacetylase activity is not required for Smad4 protein e pression.

Because Smad4 is a transcription factor that responds to TGF B signaling, we ne t investigated the e pression levels of Smad4 in SIRT1 overe pressing OECM1 and HSC3 cells following TGF B stimulation. We observed that levels of endogenous Smad4 protein in SIRT1 overe pressing or mock transfected cells were increased 2 fold after 48 h of TGF Drug_discovery B stimulation. Surprisingly, the acetylation level of Smad4 was highly increased by TGF B induction, while overe pression of SIRT1 significantly reduced the acetylation level of TGF B induced Smad4 in OSCCs.

The clonogenic survival fraction was defined as the ratio of sign

The clonogenic survival fraction was defined as the ratio of signal intensity of untreated group versus TKI 258 treated group. Results We analyzed typical components indicating the epithelial or mesenchymal cell status in ten human bladder cancer cell lines. As epithelial marker we measured E cadherin and as mesenchymal markers N cadherin and vimentin by Western blot. E cadherin and N cadherin expression levels appeared almost mutually exclusive and vimentin was predominantly expressed in those cells that were N cadherin positive. Next, we quantified the mRNA levels of these components. We revealed strong correlation between mRNA and protein levels suggesting major regulation of these components at the mRNA level. In addition, we analyzed P cadherin and FGFR3.

The role of P cadherin has been ambiguously described in EMT status. FGFR3 was analyzed since FGFR3 was dem onstrated to correlate with epithelial markers. Interest ingly, we revealed a correlation between P cadherin and E cadherin mRNA levels and could confirm the correlation between FGFR3 and E cadherin mRNA. Based on the well established and related endpoint markers of EMT status, E cadherin and N cadherin, we calculated an EMT score for each cell line by subtraction of Ct N cadherin and Ct E cadherin, respectively. In this term, high values reflect a mesenchymal status and low values an epithelial status. Based on this EMT score, we analyzed the cell responses towards TKI 258 treatment. Employing a proliferation/viability assay, we measured the inhibitory concentration of TKI 258 yielding 50% viable cells by establishing dose response curves for each cell line.

Fur thermore, we performed colony formation assay for the measurement of cell contact independent growth. We de termined the clonogenic survival fraction by calculating the ratio of cells treated with TKI 258 compared to untreated control. These data were analyzed by linear regression analyses between the EMT score and the IC50 value and between the EMT score and the clo nogenic survival fraction. We ob served significant correlations between EMT score and IC50 values and between EMT score and clo nogenic survival fractions. In conclusion, the EMT status as determined by E cadherin and N cadherin mRNA levels demonstrated significant correlation Brefeldin_A with cellular TKI 258 responses as studied by different experimental approaches in blad der cancer cell lines.

we demonstrated 1 E cadherin and N cadherin pro tein levels were expressed complementary and corre lated with their respective mRNA levels. 2 N cadherin and E cadherin mRNA levels served for calculation of an EMT score indicating the EMT status. High values reflected a relative mesenchymal cell type and low values an epithelial like cell type. 3 Analysis of the EMT score and cell responses towards TKI 258 treatment revealed correlations that indicated epithelial like cells as more therapeutically responsive than mesenchymal like cells.

However, it is clear that a chief factor constraining the perform

However, it is clear that a chief factor constraining the performance of the TSP cardiomyopathy classifier is the low fidelity of diagnostic decisions upon which it was trained. In the phenotypes studied where higher clinical diagnostic efficacy is achieved, the TSP classifier exhibits likewise higher accu racy. We observed that the genes present in highly accurate two transcript classifiers were often associated with disease processes in previous literature reports. For example, PRUNE2 has been shown to inhibit certain forms of onco genic transformation, which may correspond to its differ ential regulation in GIST and LMS as observed through the TSP method. The TSP prediction rule to diagnose Type I Diabetes is based on the relative expression of the genes CD1D and PSD.

CD1D is a transmembrane protein involved in the presentation of lipid antigens to T cells and known to contribute to the generation of diabetes, and PSD belongs to a family of intracellular signal trans duction proteins known to increase insulin sensitivity. The change in expression of these two genes within the classifier thus recapitulates the underlying molecular etiology of the disease. While not all genes in the classifiers found through this study were known a pri ori to be involved in pathological processes, the strong association held by many such transcripts with their cog nate phenotypes demonstrates the biomolecular rele vance of these classifiers.

Intriguingly, in this study it was found that analysis of transcription in circulating mononuclear cells provides a robust diagnostic platform for both the detection of invading cellular or viral pathogens, and the diagnosis of somatic medical conditions such as diabetes and Crohns Disease. Of particular interest are the simplicity, robust ness and accuracy of two transcript classifiers using a data source that provides an easily accessed transcriptomic rea dout from pathologies of disparate tissues. Recent studies have examined the utility of serum borne mRNA in the prediction of diseases, with varying fidelity. These methods are constrained by the finite stability of RNA transcripts in the circulation. In contrast, the metazoan immune system exhibits an intrinsic and long lasting memory of cellular and other Cilengitide interactions that can persist in circulating cells for long periods. The interrogation of leukocyte gene expression would provide an easily deployed method for clinical diagnosis which, as indi cated by these results, might present an informative dis criminative measure in the diagnosis of diverse human diseases. To implement the two transcript classifiers, transcrip tional measurements can be readily obtained in the clinic through routine PCR procedures.

Studies have shown that CCR9 signalling plays a role in immature

Studies have shown that CCR9 signalling plays a role in immature T cell survival through PI3K and Gi protein dependent activation of Akt/protein kinase B. By phosphorylation of its downstream effectors, Akt propa gates cell survival signalling that promotes cell prolifera tion, maintains cell growth and inhibits apoptosis. The PI3K/Akt pathway has also been shown to be involved in cisplatin resistance. Recent studies show that Akt inacti vation, through a PI3K inhibition, sensitizes OvCa cells to cisplatin induced cell death. Phosphorylated Akt pro motes survival by phosphorylating and inactivating pro apoptotic factors, such as FKHR and GSK 3B. FKHR is a transcription factor that transactivates the expression of death activating proteins, such as Fas ligand and Bim.

Phosphorylation of FKHRL1 at Thr32, Ser253 and Ser315 prevents translocation of this protein to the nucleus and loss of FKHR mediated gene transcription. Recently, it was shown that activation of chemokine receptors lead to phosphorylation of GSK 3B and FKHR in a PI3K/Akt dependent manner. Taken together, our studies strongly support that CCR9 CCL25 signalling enhances OvCa survival and cis platin resistance. Specifically, we show that CCL25 induces robust activation predominately through the PI3K/Akt pathway and its downstream mediators, FKHR and GSK 3B. Moreover, PI3K inhibition completely abro gated CCL25 mediated and CCR9 dependent cisplatin resistance, Akt, GSK 3B, and FKHR phosphorylation. Chemokines chemokine receptor interactions also sup port integrin clustering, which also increase FAK activa tion.

FAK is a cytoplasmic protein tyrosine kinase involved in the regulation of cell proliferation, migration, and survival. FAK is constitutively associated with B inte grins. Activated FAK has also been shown to support PI3Kp85 phosphorylation following integrin clustering, but the mechanism is not fully understood. FAK inhibition did not effect CCL25 mediated PI3K, Akt, FKHR, or GSK 3B phosphorylation in OvCa cells, which suggest CCR9 signalling and survival mechanisms are independent of FAK activity. Conflicting studies demonstrated cisplatin activates Akt in several cancer cell lines, which leads to cisplatin resistance. Moreover, it has been shown that cispla tin can transiently induce Akt mediated phosphorylation of FKHRL1 in the cisplatin resistant cell line, CAOV 3, with subsequent Entinostat cytoplasmic retention of FKHRL1 and cell survival.

However, cisplatin treatment alone did not lead to significant increases in phosphorylation of PI3K, Akt, GSK 3B, or FKHR. In fact, cisplatin treatment led to a slight down regulation of Akt activation. However in the presence of CCL25 along with cisplatin, phospho rylation of Akt, GSK 3B and FKHR elevated to significant levels. Taken together, these results suggest that CCL25 treatment contributes to OvCa survival and cisplatin resistance.

In this article, we explore the possibility of developing a novel

In this article, we explore the possibility of developing a novel vibratory gyroscope based on the piezoelectric effect and present the design, analysis, simulation and experiment of the novel gyroscope, which is named the bell-shaped vibratory angular rate gyro (abbreviated as BVG). This one is a new type of Coriolis vibratory gyro that is inspired by Chinese traditional clocks. The resonator fuses are based on a variable thickness axisymmetric multi-curved surface shell. Its characteristics will directly influence the performance of BVG. The BVG structure not only has capabilities of bearing high overload, high impact and, compared with the tuning fork, vibrating beam, shell and a comb structure, but also has a frequency to overcome the influence of the disturbance of the exterior environment, compared with the hemispherical resonator gyroscope (HRG) and the traditional cylinder vibratory gyroscope.

It is most important that the Chinese traditional clocks have more stability, that the sound spreads fast and heavy, that the vibration time is long and that they bear high overload. The BVG is inspired by Chinese traditional clocks. The BVG’s innovation consists of four aspects:The gyroscope is a simple millimeter-scale metallic gyro, which is comprised of a resonator, piezoelectric elements and a capacitor. It is easier to manufacture and fabricate than that with micro-machining technology;The bell-shaped resonator can bear a higher impact than others;The accuracy is improved using capacitor-detecting technology;It can be widely applied in the high dynamic low precision angular rate measurement occasions.

2.?Design Principle DescriptionThe schematic sketch of the traditional bell is shown in Figure 1. As far as we know, the bell includes a hemispherical shell, a cylinder shell and a hyperboloid shell. Figure 2 shows the cross-section of an open bell-shaped shell element with a variable thickness axisymmetric multi-curved surface. The shell is used for the sensitive element of the BVG, which is named the bell-shaped resonator. The meridian of the bell-shaped resonator has a hyperboloid ended (CD) at the waist circle and is connected to an open cylinder (BC), then connected to Anacetrapib an open hemispherical (AB). In order to obtain the character, one can evaluate the character for this bell-shaped resonator with linearly varying thickness by means of synthesizing them for each part [8].

It is difficult to describe in one mathematic function. We want to find one function to describe the meridian of the bell and research the character of the resonator. The bell-shaped resonator is simplified by the two curves (see Figure 3(a)). Figure 3(a) shows the cross-section of a simplified resonator. In the initial process of researching the character of the resonator, the bell-shaped resonator is simplified to the paraboloidal shell (see Figure 3(b)).