Semi-analytic solutions of nonlinear multidimensional fractional differential equations.

In this paper, the Adomian decomposition method (ADM) and Picard technique are used to solve a class of nonlinear multidimensional fractional differential equations with Caputo-Fabrizio fractional derivative. The main advantage of the Caputo-Fabrizio fractional derivative appears in its non-singular kernel of a convolution type. The sufficient condition that guarantees a unique solution is obtained, the convergence of the series solution is discussed, and the maximum absolute error is estimated. Several numerical problems with an unknown exact solution are solved using the two techniques. A comparative study between the two solutions is presented. A comparative study shows that the time consumed by ADM is much smaller compared with the Picard technique.

Overall survival and self-reported fatigue in patients with esophageal cancer.

PURPOSE: A prospective cohort study was conducted to analyze whether self-reported fatigue predicts overall survival in patients with esophageal cancer. METHODS: Patients enrolled in the Mayo Clinic Esophageal Adenocarcinoma and Barrett's Esophagus Registry between September 2001 and January 2009 who completed a baseline quality of life instrument were eligible for evaluation. The fatigue component was scored on a 0-10 scale, with 0 as extreme fatigue. Patients were categorized as having a decreased energy level if they reported a score of ≤ 5. Fatigue scores ≥ 6 reflect normal levels of energy. RESULTS: Data from a total of 659 enrolled patients were analyzed. A total of 392 (59 %) and 267 (41 %) patients reported decreased and normal energy, respectively. Univariate analysis indicates patients with normal energy had improved 5-year survival compared to patients with decreased energy (37 vs 28 %, hazard ratio (HR) 0.74, p = 0.006). Among the patients with locally advanced disease, the same relationship was seen (28 vs 17 %, HR = 0.67, p = 0.003); this remained significant on multivariate analysis (HR = 0.71, p = 0.015). CONCLUSIONS: A decreased energy level is associated with poor survival in patients with esophageal cancer. Thus, patients with high levels of fatigue should be referred for psychological support and be considered for therapy aimed at amelioration of fatigue symptoms.

Enhanced biological carbon consumption in a high CO2 ocean.

The oceans have absorbed nearly half of the fossil-fuel carbon dioxide (CO2) emitted into the atmosphere since pre-industrial times, causing a measurable reduction in seawater pH and carbonate saturation. If CO2 emissions continue to rise at current rates, upper-ocean pH will decrease to levels lower than have existed for tens of millions of years and, critically, at a rate of change 100 times greater than at any time over this period. Recent studies have shown effects of ocean acidification on a variety of marine life forms, in particular calcifying organisms. Consequences at the community to ecosystem level, in contrast, are largely unknown. Here we show that dissolved inorganic carbon consumption of a natural plankton community maintained in mesocosm enclosures at initial CO2 partial pressures of 350, 700 and 1,050 microatm increases with rising CO2. The community consumed up to 39% more dissolved inorganic carbon at increased CO2 partial pressures compared to present levels, whereas nutrient uptake remained the same. The stoichiometry of carbon to nitrogen drawdown increased from 6.0 at low CO2 to 8.0 at high CO2, thus exceeding the Redfield carbon:nitrogen ratio of 6.6 in today's ocean. This excess carbon consumption was associated with higher loss of organic carbon from the upper layer of the stratified mesocosms. If applicable to the natural environment, the observed responses have implications for a variety of marine biological and biogeochemical processes, and underscore the importance of biologically driven feedbacks in the ocean to global change.

Synthesis and AT2 receptor-binding properties of angiotensin II analogues.

The present study investigates the importance of the amino acid side chains in the octapeptide angiotensin II (Ang II) for binding to the AT2 receptor. A Gly scan was performed where each amino acid in Ang II was substituted one-by-one with glycine. The resulting set of peptides was tested for affinity to the AT2 receptor (porcine myometrial membranes). For a comparison, the peptides were also tested for affinity to the AT1 receptor (rat liver membranes). Only the substitution of Arg2 reduced affinity to the AT2 receptor considerably (92-fold when compared with Ang II). For the other Gly-substituted analogues the affinity to the AT2 receptor was only moderately affected. To further investigate the role of the Arg2 side chain for receptor binding, we synthesized some N-terminally modified Ang II analogues. According to these studies a positive charge in the N-terminal end of angiotensin III [Ang II (2-8)] is not required for high AT2 receptor affinity but seems to be more important in Ang II. With respect to the AT1 receptor, [Gly2]Ang II and [Gly8]Ang II lacked binding affinity (Ki > 10 microM). Replacement of the Val3 or Ile5 residues with Gly produced only a slight decrease in affinity. Interestingly, substitution of Tyr4 or His6, which are known to be very important for AT1 receptor binding, resulted in only 48 and 14 times reduction in affinity, respectively.

[3H]acetylcholine nicotinic recognition sites in human brain: characterization of agonist binding.

In the presence of a cholinesterase inhibitor to prevent hydrolysis and atropine to block muscarinic cholinergic receptors, [3H]acetylcholine ([3H]ACh) binding to human brain membranes showed highest levels of nicotinic binding sites in the thalamus. [3H]ACh, in the presence of atropine, binds to heterogeneous high-affinity binding sites in human thalamus. Scatchard analysis of the binding gave a Kd of 0.58 nM and a Bmax of 3.3 pmol/g protein for the 'super high-affinity' site and a Kd of 27 nM and a Bmax of 70 pmol/g protein for the 'high-affinity' site. Moreover, in competition studies nicotinic agonists such (-)-nicotine and carbachol displaceable [3H]ACh-specific binding sites consist of both a high- and a low-affinity population of sites. These results indicate that highest levels of [3H]ACh binding in human brain were found in the thalamus. Moreover, the human thalamus was found to have multiple high-affinity nicotinic agonist sites.