渦の支那

説

Effect of propranolol on regional myocardial function in anesthetized open-chest dogs with myocardial ischemia

Effects of propranolol on ischemic segmental function were studied in anesthetized open-chest dogs. Two segment-length gauges were used for measuring the regional myocardial function: one was sutured on to the left ventricular surface perfused by the anterior descending coronary artery (ischemic zone) and the other was on to that perfused by the circumflex coronary artery (normal zone). A bolus of propranolol (0.5 mg/kg) was injected into the right femoral vein. Five min later, the left anterior descending coronary artery (LAD) was completely occluded for one mine and thereafter released. Then a second coronary occlusion for 20 min was performed; an interval of 20 min was allowed between two occlusions. Propranolol, in the ischemic segment, apparently decreased the extent of paradoxical lengthening in the late systole following one min LAD occlusion, and facilitated improvement of segmental function after release of the occlusion. Moreover, the extent of abnormal stretching induced by 20 min occlusion during early systole, was also reduced by propranolol pretreatment. In contrast, compensatory increase in shortening by the normal segment was disturbed by propranolol. These results suggest that propranolol might exert a favourable influence on the segmental myocardial function during either transient or maintained myocardial ischemia.</p

Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3

Fuchsian differential equations of order 3 with three singular points and with an accessory parameter are studied. When local exponents are generic, no shift operator is found, for codimension-1 subfamilies, neither. We found shift operators for several codimension-2 subfamilies of which accessory parameter is assigned as a cubic polynomial in the local exponents. The Dotsenko-Fateev equation is one of them.Comment: 30 pages. arXiv admin note: substantial text overlap with arXiv:2111.1119

Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter I, Equations of order 6

Fuchsian differential equations $H_j$ of order $j=3,\dots,6$ with three singular points and one accessory parameter are presented. The shift operators for $H_6$ are studied, which lead to assign the accessory parameter of $H_6$ a cubic polynomial of local exponents so that the equations have nice properties: shift operators and several symmetries. The other equations will be studied in the forthcoming papers.Comment: 61 pages, no figure. arXiv admin note: substantial text overlap with arXiv:2111.1119

Shift relations and reducibility of some Fuchsian differential equations of order 2,...,6 with three singular points

A Fuchsian differential equation of order six with nine free exponents as parameters and with three singular points is presented. This equation has various symmetries, which specify the accessory parameter as a polynomial of the local exponents. For some shifts of exponents, the shift operators are found, which lead to reducibility conditions of the equation. By several specializations of the parameters and successive factorizations of the equation, it produces several new equations and also known ones. For each equation, shift operators are studied, and when the equation is reducible, we observe the way of factorization and discuss the relation with the shift operators.Comment: 146 pages, 1 figur