scholarly journals Sawi Decomposition Method for Volterra Integral Equation with Application

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
M. Higazy ◽  
Sudhanshu Aggarwal ◽  
Taher A. Nofal

In this paper, authors present a new method “Sawi decomposition method” for determining the primitive of Volterra integral equation (V.I.E.) with application. Sawi decomposition method is the combination of Sawi transformation and decomposition method. Some numerical problems have been considered and solved sequentially for explaining the complete methodology. For the practical application of the Sawi decomposition method, an advance problem of medical science for determining the blood glucose concentration during an intravenous injection has been considered and solved sequentially applying this method. Results of numerical problems depict that the Sawi decomposition method is a very effective decomposition method for determining the primitives of V.I.E.

1965 ◽  
Vol 121 (3) ◽  
pp. 403-413 ◽  
Author(s):  
P. Michael Edelman ◽  
Irving L. Schwartz ◽  
Eugene P. Cronkite ◽  
George Brecher ◽  
Linda Livingston

The accumulation of gold in the hypothalamus and the development of hyperphagia and obesity were studied in mice given a single intravenous injection of goldthioglucose at various levels of blood glucose concentration. It was found that the glucose concentration prevailing at the time of goldthioglucose injection was correlated directly with the level of free and bound goldthioglucose in the blood 3 minutes later, with the hypothalamic uptake of gold, with the extent of the hypothalamic lesion, and with the severity of the subsequent hyperphagia and obesity. Hyperglycemia was associated with an increased gold deposition throughout the brain. A gold content of 88 ± 12 µg/mg wet tissue in the hypothalamus of fasted animals was associated with clearcut lesions in all animals studied, whereas a similar gold content in the control brain lobes of hyperglycemic animals was not associated with lesions in any animal. This finding indicates that some regions in the brain (e.g. the ventral hypothalamus) are more susceptible than others to damage by goldthioglucose.


1964 ◽  
Vol 206 (1) ◽  
pp. 133-135 ◽  
Author(s):  
I. Arthur Mirsky ◽  
Robert Jinks ◽  
Gladys Perisutti

The intravenous injection of anti-insulin serum produces an immediate increase in the blood glucose concentration of both normal and presumably "depancreatized" ducks. Whereas the blood glucose of the normal ducks returns to the preinjection concentration within 3.5 hr, the hyperglycemia of the depancreatized ducks persists for more than 5 hr. The response is attributed to an acute insulin insufficiency induced by insulin antibodies. Accordingly, insulin is as essential to the regulation of the blood glucose of the duck as it is to that of mammals. The data from depancreatized ducks suggest the presence of a remnant of splenic lobe of the pancreas or some extrapancreatic source of insulin.


2014 ◽  
Vol 307 (4) ◽  
pp. H587-H597 ◽  
Author(s):  
Mark W. Sims ◽  
James Winter ◽  
Sean Brennan ◽  
Robert I. Norman ◽  
G. André Ng ◽  
...  

While it is well established that mortality risk after myocardial infarction (MI) increases in proportion to blood glucose concentration at the time of admission, it is unclear whether there is a direct, causal relationship. We investigated potential mechanisms by which increased blood glucose may exert cardiotoxicity. Using a Wistar rat or guinea-pig isolated cardiomyocyte model, we investigated the effects on cardiomyocyte function and electrical stability of alterations in extracellular glucose concentration. Contractile function studies using electric field stimulation (EFS), patch-clamp recording, and Ca2+ imaging were used to determine the effects of increased extracellular glucose concentration on cardiomyocyte function. Increasing glucose from 5 to 20 mM caused prolongation of the action potential and increased both basal Ca2+ and variability of the Ca2+ transient amplitude. Elevated extracellular glucose concentration also attenuated the protection afforded by ischemic preconditioning (IPC), as assessed using a simulated ischemia and reperfusion model. Inhibition of PKCα and β, using Gö6976 or specific inhibitor peptides, attenuated the detrimental effects of glucose and restored the cardioprotected phenotype to IPC cells. Increased glucose concentration did not attenuate the cardioprotective role of PKCε, but rather activation of PKCα and β masked its beneficial effect. Elevated extracellular glucose concentration exerts acute cardiotoxicity mediated via PKCα and β. Inhibition of these PKC isoenzymes abolishes the cardiotoxic effects and restores IPC-mediated cardioprotection. These data support a direct link between hyperglycemia and adverse outcome after MI. Cardiac-specific PKCα and β inhibition may be of clinical benefit in this setting.


2014 ◽  
Vol 19 (3) ◽  
pp. 527-533 ◽  
Author(s):  
Miho Senda ◽  
Susumu Ogawa ◽  
Kazuhiro Nako ◽  
Masashi Okamura ◽  
Takuya Sakamoto ◽  
...  

Author(s):  
Li-Nong Ji ◽  
Li-Xin Guo ◽  
Li-Bin Liu

AbstractBlood glucose self-monitoring by individuals with diabetes is essential in controlling blood glucose levels. The International Organization for Standardization (ISO) introduced new standards for blood glucose monitoring systems (BGMS) in 2013 (ISO 15197: 2013). The CONTOUR PLUSThis study evaluated the accuracy and precision of CONTOUR PLUS BGMS in quantitative glucose testing of capillary and venous whole blood samples obtained from 363 patients at three different hospitals.Results of fingertip and venous blood glucose measurements by the CONTOUR PLUS system were compared with laboratory reference values to determine accuracy. Accuracy was 98.1% (96.06%–99.22%) for fingertip blood tests and 98.1% (96.02%–99.21%) for venous blood tests. Precision was evaluated across a wide range of blood glucose values (5.1–17.2 mmol/L), testing three blood samples repeatedly 15 times with the CONTOUR PLUS blood glucose meter using test strips from three lots. All within-lot results met ISO criteria (i.e., SD<0.42 mmol/L for blood glucose concentration <5.55 mmol/L; CV<7.5% for blood glucose concentration ≥5.55 mmol/L). Between-lot variations were 1.5% for low blood glucose concentration, 2.4% for normal and 3.4% for high.Accuracy of both fingertip and venous blood glucose measurements by the CONTOUR PLUS system was >95%, confirming that the system meets ISO 15197: 2013 requirements.


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