We report a case of a 50-day old infant presenting to us post excision of a nasopharyngeal mass leading to respiratory distress at birth. Initial imaging had shown a clival mass and neuroimaging showed findings suggestive of Tuberous Sclerosis. Histopathology of the excised mass was suggestive of a chordoma. A rare association between Tuberous Sclerosis and pediatric chordomas is known to exist and is exemplified by this case report. We have also discussed the various challenges encountered during the management of such patients due to the location of these tumors and difficulty in using radiotherapy at a very young age.

Background: Recent studies indicated that fish-allergic patients may safely consume certain fish species. Multiplex IgE testing facilitates the identification of species tolerated by individual patients. Methods: Sera were collected from 263 fish-allergic patients from Austria, China, Denmark, Luxembourg, Norway and Spain. Specific (s) IgE to parvalbumins (PVs) from 10 fish species along with IgE to 7 raw and 6 heated fish extracts was quantified using a research version of the ALEX 2 assay. IgE-signatures of individual patients and patient groups were analyzed using SPSS and R. Results: sIgE to alpha-PV from ray, a cartilaginous fish, was not detected in 78% of the patients while up to 41% of the patients, depending on their country of origin, tested negative for at least one beta-PV. sIgE values were highest for mackerel and tuna PVs (>10 kUA/L) and significantly lower for cod (4.9 kUA/L) and sole PVs (2.55 kUA/L). 17% of the patients, although negative for PVs, tested positive for the respective fish extracts. Based on the absence of IgE to PVs and extracts, up to 21% of the patients were identified as potentially tolerating one or more bony fish. Up to 90% of the patients tested negative for ray. The probability of negativity to one fish based on negativity to others was calculated. Negativity to tuna and mackerel emerged as a good marker of negativity to additional bony fish. Conclusion: Measuring sIgE to PVs and extracts from evolutionary distant fish species indicates bony and cartilaginous fish species for tolerance-confirming food challenges.

This paper is concerned with a diffusive predator-prey model with prey-taxis and prey-structure under the homogeneous Neumann boundary condition. The stability of the unique positive constant equilibrium of the predator-prey model is derived. Hopf bifurcation and steady state bifurcation are also concluded.

Analysis of environmental DNA (eDNA) has been successfully used to detect organisms in various aquatic environments. Although eDNA has been shown to persist for long periods of time in environmental samples, the efficacy of eDNA/eRNA based tools is highly dependent on degradation of the molecule, which subsequently has a great impact on the timeliness of the detection results. Environmental RNA (eRNA) is considered an excellent complementary tool because most researchers believe that RNA degrades faster than DNA in vitro. However, to the best of our knowledge, published research related to eRNA is very limited. To address an important knowledge gap, this study focused on the relationship between water temperature and the degradation of eDNA and eRNA. Changes in the concentration of eDNA and eRNA of the mitochondrial cytochrome c oxidase subunit 1 (COI) gene from Fenneropenaeus chinensis were detected at four temperatures (10, 15, 20 and 25°C). The results show that the eDNA degradation rate increased at higher temperatures, with the degradation rate constants ranging from 0.011 to 0.486 h-1 and the degradation time ranging from 8 to 383 h for eDNA. For eRNA, the degradation rate constants ranged from 0.190 to 0.379 h-1 and the degradation time ranged from 11 to 22 h. eRNA showed better stability under temperature change and maintained a faster degradation rate at low temperatures. These results answer the questions that eRNA and eDNA degradation rate which is fast or slow of the current research. Furthermore, this study may suggest the potential superiority of eRNA over eDNA and promote the further study of eRNA in future research.

In this paper, we study the positive solutions of higher order Lane-Emden system with Navier exterior conditions $$ \begin{cases} \ (-\Delta)^{s}u(x)=v^{p}(x) ,\ u(x)>0,\qquad \ x\in\Omega,\\ \ (-\Delta)^{s}v(x)=u^{q}(x) ,\ v(x)>0,\qquad \ x\in\Omega,\\ \ u(x)=-\Delta u(x)=\cdot\cdot\cdot=(-\Delta)^{m} u(x)=0,\ x\in\Omega^{c},\\ \ v(x)=-\Delta v(x)=\cdot\cdot\cdot=(-\Delta)^{m} v(x)=0,\ x\in\Omega^{c}, \end{cases} $$ where $1

Pine mistletoe is a hemiparasitic shrub that can produce its own photosynthates. There is a lack of knowledge about the interaction of mistletoe and host under varying environmental condition that might influence carbon gain and allocation. In a 13C-pulse labeling experiment with mature Pinus sylvestris (pine) infected by mistletoes grown in naturally dry or irrigated conditions, (1) mistletoe clusters were shielded from 13CO 2 added , and (2) mistletoes or host needles were removed to manipulate the local assimilate and water availability. No 13C signal was found in shielded mistletoes, indicating no carbon transfer from the host to the mistletoe. When the pine needles were removed from girdled branches, no 13C signal was found in the host tissues, implying no carbon transfer from mistletoe to the host. However, mistletoes on needle-removed pine trees accumulated more labelled assimilates and had higher non-structural carbohydrate (NSC) concentrations only under naturally dry conditions but not in irrigated plots. Our results suggest that mistletoes show full carbon autonomy, as they neither receive carbon from nor provide carbon resource to the host trees. Moreover, the high assimilation capacity of mistletoes seems to be constrained by the host water use under dry conditions, suggesting that drought stress is not only negatively impacting trees but also mistletoes. Therefore, we conclude that the hemiparasites live on their own in terms of carbon gain which, however, depends on the water provided by the host tree.

In the microfluidic systems, the structure of micromixer is one of the important influence factors for the mixing performance. The traditional trial-and-error method for the optimization design of micromixer structure is difficult to consider both the mixing performance and power dissipation. Here we show the topology optimization method of designing the passive micromixer with the minimum power dissipation. The micromixer structure is updated with the adjoint method and adjoint variables are solved by the continuous adjoint equation derived manually. The forward fluid problem and adjoint equation are constructed using OpenFOAM. The optimal structure of micromixer is generated at different mixing index constraint and Re in two-dimensional design problem. Furthermore, in the three-dimensional optimal design, the multiple spiral slice structures are produced along the micromixer, which generate chaotic advection. This open-source topology optimization modeling framework is effective to design optimal structure of micromixer.

Background and Purpose: Ischemia reperfusion (I/R) is the main cause of acute ischemic stroke injury. However, existing treatments for I/R injury are relatively poor, and relevant drugs need to be further explored. Experimental Approach: In this study, the neuroprotective function and related mechanism of OL-FS13 were studied through rat I/R model and PC12 cell model of oxygen glucose deprivation/reoxygenation model (OGD/R), combined with cell viability experiment, tissue H&E and Nissl staining experiment and Western blot experiment. Key Results: In this study, we identified a novel neuroprotective peptide (OL-FS13, amino acid sequence: FSLLLTWWRRRVC) from the odorous frog species Odorrana livida using a constructed cDNA library. OL-FS13 significantly alleviated brain injury from cerebral I/R in rats by reducing infarct volume in the brain, improving behavioral and histological abnormalities, and rescuing PC12 cell from damage caused by oxygen glucose deprivation/reoxygenation (OGD/R). Mechanistically, OL-FS13 increased the level of antioxidative enzymes to resist oxidative stress induced by I/R and OGD/R by activating the Nrf2/HO-1 pathway and alleviated endoplasmic reticulum (ER) stress induced by OGD/R by inhibiting the IRE1α/TRAF2/JNK pathway. Conclusion and Implications: Collectively, the novel peptide exerted significant anti-stroke activities by alleviating oxidative and ER stress via activation of Nrf2 signaling and suppression of the IRE1α/TRAF2/JNK pathway. Thus, this research provides a potential drug candidate for the clinical treatment of cerebral I/R.

Objective To evaluate the natural course, over two years, of untreated cervical intraepithelial neoplasia grade 2 (CIN2) in women aged 25-30 years and the association with human papillomavirus 16 (HPV16). Design Prospective longitudinal multicentre clinical study. Setting Five colposcopy clinics, managing referrals after abnormal cervical screening in Region Västra Götaland (VGR), Sweden, February 2017-June 2021. Population of sample Per protocol: 127 women, aged 25-30 years, with histologically verified CIN2. Methods Surveillance with colposcopy, cytology, HPV testing and at least two cervical biopsies every six months, until progression or regression. Main outcome measures Respective rates of regression, persistence and progression of CIN2, in cases with HPV16 and without HPV16 at 6, 12, 18 and 24 months. Results Partial or total regression during the two-year period was found in 72% (Confidence interval 63-79). In patients with HPV16 the regression rate was 51% (36-66) and the progression rate 47% (32-62). In the HPV-non16 group 83% (73-90) regressed and 16% (9-26) progressed. Most of the regression and progression in both groups occurred within 15 months. Conclusions The regression rate of CIN2 is high and HPV16 is a strong determinant in the natural course. Patients aged 25 – 30 without HPV16 should generally be recommended active surveillance for one year. With HPV16 treatment should be considered. Funding The Healthcare Board, Region Västra Götaland, Sweden Keywords CIN2, natural course, regression, HPV 16

Objective: To evaluate the impact of fetal circulatory redistribution (FCR) on frontal lobe development in fetuses with growth restriction (FGR) compared with appropriately grown fetuses. Design: Case-control study Setting: A referral center from August 2020 to July 2021. Population/Sample: 324 appropriately grown fetuses were included to establish Z-score reference ranges for frontal antero-posterior diameter (FAPD) and occipito-frontal diameter (OFD). The case-control analyses included 55 with FGR and 220 gestational age and fetal sex-matched appropriately grown fetuses. Methods: FAPD and OFD were measured on trans-ventricle view in FGR and appropriately grown fetuses. Main Outcome Measures: We calculated Z-scores for FAPD and OFD in appropriately grown fetuses. To compare intracranial parameters, we randomly selected a control group of appropriately grown fetuses matched with the FGR group at ultrasonography. We performed between-group comparisons of FAPD Z-score, OFD Z-score, and FAPD/OFD ratio. Results: All independent variables (GA, BPD, FL, and TCD) were strongly correlated with FAPD and OFD. FAPD/OFD ratio was curvilinear related to all the independent variables (GA, BPD, FL, and TCD). Compared with appropriately grown fetuses, fetuses with FGR showed a significantly lower FAPD/OFD ratio and FAPD Z-score. There was no significant difference in the FAPD Z-score and FAPD/OFD ratio between fetuses with FGR with and without FCR. Conclusions: The FAPD/OFD ratio slightly varied during pregnancy, with a small reduction before and an increase after about 33 gestational weeks. Fetuses with FGR showed impaired frontal lobe growth; moreover, fetal frontal lobe development disorders were not significantly different in FGR with FCR.

GRP (glycine-rich protein) is characterized by glycine-rich and conserved motifs that include (Gly) N-X repeats. This superfamily is generally divided into five major subclasses. Although GRP has been found to be involved in the stress response in many model plants and nonmodel plant species, little is known about the key physiological processes and molecular mechanisms involved in these proteins. In this study, we identified and analyzed the GhGRP genes of five subgroups of Gossypium hirsutum for the first time. Our research showed that GRP overexpression could enhance the salt stress tolerance of Arabidopsis thaliana and cotton, which would play a very promising role in cotton genetic engineering breeding. The GRP gene had make some progress in rice, Arabidopsis thaliana, maize, tobacco and other plants. In cotton, only Gossypium arboreum and Gossypium raimondii had been analyzed and identified into subgroup IV[(](#ref-0038)W. Yang et al., 2019), also known as the RB-GRP. VIGS and Arabidopsis thaliana overexpression experiments showed that the expression of GRP42 gene could indeed improve plant salt tolerance. The results of TEM showed that GRP42 gene maight act on the cell wall of plant vascular tissue and played a supporting role.

In France, the abuse/misuse of psychoactive substances, including cocaine, is monitored via spontaneous notifications, and under-reporting is its main limitation. Therefore, the French national hospital discharge database (PMSI) was used to identify all hospital stays possibly due to complications related to cocaine use. Hospitalizations for cocaine-related complications increased by 4-fold between 2010 and 2019. This increase was similar in men and women, and was observed in each age category. Patients were mainly men, with a median age of 38.5 and 35.2 years for men and women, respectively, in 2019. Cocaine poisoning in pediatric patients (0-9 years) concerned less than 10 patients in 2010 and 21 patients in 2019. PMSI data analysis shows an overall increase of cocaine-related hospitalizations that can be linked in part to an increasing recreational use. The increase of pediatric cases of cocaine poisoning suggest a trivialization of these cocaine consumption.

Excessive accumulation of cadmium (Cd) in rice due to continuous anthropogenic emissions to farmlands has become a severe threat to food safety. Previous studies have identified atmospheric depositions as the major sources for Cd accumulation in soil and confirmed that Cd in the soil is absorbed by roots and then translocated to the grains in rice. However, the contribution of airborne Cd to grain accumulation in rice is unknown. Therefore, the present study conducted a pot experiment using stable Cd isotope ( 108Cd) labeling to investigate the distribution and accumulation of foliar absorbed Cd in rice and accurately quantify the contribution of foliar uptake to Cd accumulation in grains. The results showed that the total Cd content in rice increased with an increase in foliar exposure concentration, and the content of Cd accumulation in leaves and husks showed a more significant increment than grains and roots. The distribution of 108Cd was the highest in roots, followed by shoots, husks, and grains in control (CK) treatment without foliar exposure. Meanwhile, under 108Cd foliar exposure, the 108Cd content was the highest in husks, followed by shoots, roots, and grains; the differences were significant at higher exposure concentrations. The contribution of foliar uptake to the accumulation of Cd in rice husks (48.96%–88.24%) was higher than that in the shoots (23.13%–44.11%), followed by grains (22.13%–24.15%) and roots (4.57%–21%). Husks showed a significant ability to absorb and accumulate airborne Cd. Moreover, 108Cd labeling showed that the foliar absorbed Cd got transported to the roots, with 1.24%–1.93% of airborne Cd transported to the roots through the phloem; however, it accounted for 4.57%–15.21% of the total Cd accumulation in roots. These results prove that foliar uptake contributed significantly to Cd accumulation in rice. The study provides a theoretical basis for preventing Cd accumulation in rice to ensure food safety.

Abstract Background Perineal trauma refers to damage to the genitalia during the birthing process and can occur spontaneously or as a result of an episiotomy or female genital mutilation (FGM). Objective To perform a systematic review and network meta-analysis investigating the effectiveness of different PFMT relevant strategies in the prevention of perineal trauma. Search strategy PubMed, Embase, the Cochrane Library, CINAHL, CNKI, CBM, WANFANG DATABASE, and ClinicalTrials.gov were searched for citations published in any language from inception to 1 July 2021. Selection criteria Randomised controlled trials (RCTs) of PFMT relevant prevention strategy to prevent perineal trauma in pregnant women. Data collection and analysis Data were independently extracted by two reviewers. Relative treatment effects were estimated using network meta-analysis (NMA). Main results Of 12632 citations screened, 21 RCTs were included. Comparing with usual care, “PFMT combine with perineal massage” and PFMT alone showed more superiority in intact perineum (RR=5.37, 95%CI: 3.79 to 7.60, moderate certainty; RR=2.58, 95%CI: 1.34 to 4.97, moderate certainty), episiotomy (RR=0.26, 95%CI: 0.14 to 0.49, very low certainty; RR=0.63, 95%CI: 0.45 to 0.90, very low certainty), and OASIS (RR=0.35, 95%CI: 0.16 to 0.78, moderate certainty; RR=0.49, 95%CI: 0.28 to 0.85, high certainty). “PFMT combine with perineal massage” show superiority in reducing perineal tear (RR=0.41, 95%CI: 0.20 to 0.85, moderate certainty). Conclusion In this systematic review, the finding on the perineal trauma indicated that “PFMT combine with perineal massage” and PFMT showed more superiority to prevent perineal trauma.

Purpose This study aimed at evaluating bioequivalence of ezetimibe/rosuvastatin fixed dose combination compared to the concomitant administration of individual formulations (ezetimibe and rosuvastatin) in Chinese healthy subjects under fasting conditions. Methods A phase I, randomized, open-label, 2-treatment, 2-period, 2-sequence, crossover study was conducted in healthy Chinese participants under fasting condition. Cmax, AUC0-t and AUC0-∞ from test and individual reference formulations were evaluated to assess bioequivalence. The safety assessments included adverse events (AEs)/treatment-emergent adverse events (TEAEs), potential clinically significant abnormalities (PCSAs) in vital signs, 12-lead electrocardiogram (12-ECG), and clinical laboratory parameters. Findings 68 subjects were enrolled, and 67 were treated. Systemic exposure to rosuvastatin based on Cmax, AUC0-t and AUC0-∞ were similar in both treatments, with respective arithmetic values 12.4 ng/ml, 117 ng·h/mL and 120 ng·h/mL for test formulation and 12.7 ng/ml, 120 ng·h/mL and 123 ng·h/mL for reference formulations. Similarly, systemic exposure to unconjugated ezetimibe were 4.14 ng/ml, 89.7 ng·h/mL and 102 ng·h/mL for test formulation and 3.80 ng/ml, 89.7 ng·h/mL and 102 ng·h/mL for reference formulations. Systemic exposure to total ezetimibe were 70.5 ng/ml, 664 ng·h/mL and 718 ng·h/mL for test formulation and 60.2 ng/ml, 648 ng·h/mL and 702 ng·h/mL for reference formulations. The point estimate for rosuvastatin, unconjugated ezetimibe and total ezetimibe were in the acceptable range of 0.80-1.25. No deaths, serious adverse events (SAE) were reported. Conclusions Fixed dose combination of ezetimibe/rosuvastatin (10mg/10mg) achieved bioequivalence with reference to commercial tablets.

ABSTRACT Aim To investigate long-term risk and spectrum of subsequent primary neoplasm (SPN) in childhood cancer patients in Slovenia; and to identify how trends in therapy influenced cumulative incidence of SPN. Methods The population-based cohort comprises 3271 childhood cancer patients diagnosed in Slovenia aged ≤ 18 years between 1961 and 2013 with a follow-up through 2018. Main outcome measures are standardised incidence ratios (SIRs), absolute excess risks (AERs), and cumulative incidence of SPN. Results After median follow-up time of 21.5 years for 5-year survivors, 230 patients experienced 273 SPN, including 183 subsequent malignant neoplasm (SMN), 34 meningiomas and 56 nonmelanoma skin cancers. 10.5% patients received radiotherapy only, 31% chemotherapy only, 26.9% a combination of chemotherapy and radiotherapy and 16.1% surgery only. The overall SIR was almost 3 times more than expected (SIR 2.9, 95% CI 2.5 to 3.3), with survivors still at 1.7-fold increased risk after 40 years from diagnosis. The observed cumulative incidence of developing an SMN at 40 years after childhood cancer diagnosis was significantly lower for patients having surgery only (Pheterogeneity<0.001). Despite reduced use of radiotherapy after 1995 there is no significant difference in cumulative incidence of developing an SMN for the first 15 years after diagnosis (p=0.36). Conclusion Risks of developing a SMN in this study are similar to other population-based cohorts. What is new, are treatment data for our cohort, showing that most intensive treatment with radiotherapy and chemotherapy was implemented later in practice and radiotherapy also declined slower compared to high income countries.

BACKGROUND: In the absence of population based cancer registries, hospital records can only highlight the importance of collection and analysis of data to address the burden of cancer among children. For this purpose, a hospital-based registry’s pediatric cancer data (individuals aged 0-18 at diagnosis) from 2010 to 2019 was compiled and analyzed at AKUH in Karachi, Pakistan. METHODS: A paper-based system is used to record all interactions with patients at the hospital. A dedicated team of Cancer Registrars transcribe this data onto a US based registry software; CNExT. Registry data was extracted through software generated reports and compiled for analysis. RESULTS: The total number of children presented at our center was 2,694, out of which 1,673 were males while 1,021 were females. Top 5 sites were bone marrow (n=887), central nervous system (n=481), lymphoid tumors (n=294) bone (n=255) and soft tissues (n=145). All other sites contributed to 632 cases, 23.5% of the total patient population. Furthermore, 806 patients were aged 0-4, 627 were aged 5-9, 684 were aged 10-14 while 966 patients were 15-19 years old.. A consistent increase of 210% was noted during the 10-year period. CONCLUSION: Our database analysis shows that the top cancer sites are consistent with other databases around the world. Increase in numbers may reflect awareness and referral pattern emphasizing the need for capacity building at the national level to accommodate patients locally so families don’t have to travel over provincial and international borders to receive treatment.

Prosthetic tricuspid valves make permanent pacing challenging. We describe a case of a patient with several previous heart surgeries with a mechanical tricuspid valve and a previous malfunctioning left ventricle lead and recurrent syncope. A quadripolar lead was placed in the coronary sinus, using a specific left ventricle sensing algorithm.

Riverbank erosion is one of the most perilous calamities which results in vulnerabilities associated with various dimensions of physical and human environments. Vulnerabilities to riverbank erosion is reflected in a multi-faceted form covering ecological, physical, social, economic, political and physical and psychological health aspects. With regard to demographic profile, socio-economic conditions and physiographic setting, India and Bangladesh are severely vulnerable to riverbank erosion. This paper makes an attempt to analyze the researches on vulnerability to riverbank erosion in India and Bangladesh. It provides a summary and analysis of the vulnerabilities to riverbank erosion, identifies the research gaps and irons out a way forward for future researches. The possible research gaps are listed after carrying out a systematic literature review over a period of 34 years from 1988 to 2021. A total of 94 articles were chosen for this study using keyword search and thorough reading of the abstracts. The deliberation of the articles was carried out through descriptive and thematic analysis. The identified research gaps revealed that among various aspects of vulnerability, political and psychological vulnerabilities to riverbank erosion are fairly uncharted; ecological vulnerability is also underrepresented. Studies focused on particular target groups based on gender, age groups and other socio-cultural parameters are limited and there is a wide scope of increasing the use of remote sensing, GIS and hydrodynamic models in assessing vulnerability to bank erosion. Though a substantial body of work has been produced on riverbank erosion, vulnerabilities posed by this disaster require to be represented adequately.

The effect of vegetation on soil and water conservation increases with the increase of planting density. At the same time, the degree of soil drought increases with the increase of planting density, and leads to the decline of vegetation or waste resources and then affects the benefit of vegetation on soil and water conservation. However, there is a few research of high-quality sustainable management of easier degraded soil and water conservation vegetation ecosystems. In this paper, the high-quality sustainable management of soil and water conservation vegetation was reviewed. The results showed that the degree of cover of soil and water conservation vegetation increases with increasing density under other things being equal; the canopy interception increases with stand density but there is a peak value of canopy interception. The surface runoff decreases with increasing density with a logarithm relationship; the sediment charge in the runoff increases with reducing density with a logistic relation. There is a limit of soil and water conservation vegetation, which is the cover degree of soil and water conservation vegetation when the existing plant density of indicator species in a plant community is equal to vegetation carrying capacity. When plant density of indicator species in a plant community is more than vegetation carrying capacity, the cover degree of soil and water conservation vegetation is more than the vegetation restoration limit of soil and water conservation vegetation, the plant resources relationship should be regulated based on vegetation carrying capacity to realize high-quality sustainable management of soil and water conservation vegetation.

In this paper, a new Legendre orthonormal polynomial–based least–squares method(LSM) is provided for fractional integro-differential equations(FIDEs). We first divide the domain into $n$ cells, and in each cell we apply the least–squares algorithm to obtain an approximating solution. The stability and the optimal convergence order in $W_2^2$–norm error are proven. Numerical examples are studied to verify our theoretical discovery. Comparison with the sextic and eighth $C^{3}-$spline method illustrates that our algorithm can obtain a more accurate approximating solution.

Orthogonal-biplane imaging (xplane) is a relatively new tool and provides comprehensive information about mitral valve and left atrial appendage evaluation. On the other hand, x plane method is a promising method in diagnosis of semilunar valve pathologies. Below, we report two cases, in which xplane method was used in order to clairify diagnosis. Case 1 : 63 year old male patient with dyspnea admitted to our clinic. Right ventricular dilatation and hypertrophy were assessed. In order to determine the exact reason of right ventricular pressure overload, pulmonary valve was evaluated by xplane and bicuspid pulmonary valve was represented.This patient has been undergone to pulmonary valve percutaneous valvuloplasty. Case 2 48 year-old male patient with historu of cerebrovascular event was admited to our hospital. His initial transthorasic and transoesaphageal echocardiography showed hyperechoic mobile mass on non-coronary cusp. However, after xplane was used to detect aortic valve,it was the prolapsed part of the non-coronary cusp adjacent to  the commissure.

In this paper, firstly, we apply the shooting method together with the Bolzano’s theorem and the maximum principle to present the existence, uniqueness, and qualitative properties of solutions to nonlinear third-order two-point boundary value problems on the half-line. And then, by employing the matching method, the existence, uniqueness, and qualitative properties of solutions to nonlinear third-order three-point boundary value problems on the whole real line are obtained. Finally, as applications, we mainly present the existence, uniqueness, and qualitative properties of solutions of the Blasius equations $y’‘’+yy’‘=0$ with one of the following boundary conditions $$ y’(-\infty)=C,~ y(0)=0,~ y’(+\infty)=1~ \hbox{with}~ 0\leq C<1, $$ $$ y’(-\infty)=C,~ y’‘’(0)=0,~ y’(+\infty)=1~ \hbox{with}~0\leq C<1, $$ which arise from the laminar mixing layer between two parallel flows with different velocities.

Fulminant necrotizing eosinophilic myocarditis (FNEM) is a rare but potentially fatal form of myocarditis characterized by new onset heart failure, often requiring inotropic and mechanical circulatory support (MCS). If clinical suspicion for the diagnosis is high, early endomyocardial biopsy (EMB) followed by prompt immunosuppressive therapy may prevent further decompensation and death.