scholarly journals Functional determinant on pseudo-Einstein 3-manifolds

2020 ◽  
Vol 309 (2) ◽  
pp. 421-436
Author(s):  
Ali Maalaoui
Angiogenesis ◽  
2021 ◽  
Author(s):  
Juan Pablo Robles ◽  
Magdalena Zamora ◽  
Lourdes Siqueiros-Marquez ◽  
Elva Adan-Castro ◽  
Gabriela Ramirez-Hernandez ◽  
...  

AbstractThe hormone prolactin acquires antiangiogenic and antivasopermeability properties after undergoing proteolytic cleavage to vasoinhibin, an endogenous prolactin fragment of 123 or more amino acids that inhibits the action of multiple proangiogenic factors. Preclinical and clinical evidence supports the therapeutic potential of vasoinhibin against angiogenesis-related diseases including diabetic retinopathy, peripartum cardiomyopathy, rheumatoid arthritis, and cancer. However, the use of vasoinhibin in the clinic has been limited by difficulties in its production. Here, we removed this barrier to using vasoinhibin as a therapeutic agent by showing that a short linear motif of just three residues (His46-Gly47-Arg48) (HGR) is the functional determinant of vasoinhibin. The HGR motif is conserved throughout evolution, its mutation led to vasoinhibin loss of function, and oligopeptides containing this sequence inhibited angiogenesis and vasopermeability with the same potency as whole vasoinhibin. Furthermore, the oral administration of an optimized cyclic retro-inverse vasoinhibin heptapeptide containing HGR inhibited melanoma tumor growth and vascularization in mice and exhibited equal or higher antiangiogenic potency than other antiangiogenic molecules currently used as anti-cancer drugs in the clinic. Finally, by unveiling the mechanism that obscures the HGR motif in prolactin, we anticipate the development of vasoinhibin-specific antibodies to solve the on-going challenge of measuring endogenous vasoinhibin levels for diagnostic and interventional purposes, the design of vasoinhibin antagonists for managing insufficient angiogenesis, and the identification of putative therapeutic proteins containing HGR.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gourav Banerjee ◽  
Sudip Karan ◽  
Binata Panda

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.


1997 ◽  
Vol 94 (6) ◽  
pp. 2322-2326 ◽  
Author(s):  
H. Imai ◽  
D. Kojima ◽  
T. Oura ◽  
S. Tachibanaki ◽  
A. Terakita ◽  
...  

2018 ◽  
Vol 20 (5) ◽  
pp. 3165-3171 ◽  
Author(s):  
Yurika Nomura ◽  
Shota Ito ◽  
Miwako Teranishi ◽  
Hikaru Ono ◽  
Keiichi Inoue ◽  
...  

The present FTIR study showed that eubacterial light-driven H+, Na+ and Cl− pump rhodopsins contain strongly hydrogen-bonded water molecule, the functional determinant of light-driven proton pump. This explains well the asymmetric functional conversions of light-driven ion pumps.


1991 ◽  
Vol 06 (27) ◽  
pp. 2527-2538 ◽  
Author(s):  
C. HAUSER ◽  
K. POHLMEYER

Under some restrictions we calculate the functional derivative of the determinant of an operator which is the main ingredient in the semiclassical approximation of the physical ground state of the closed bosonic string. We show that a formula for the determinant itself previously published by other authors is incorrect.


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