Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms

2013 ◽  
Vol 196 (1) ◽  
pp. 321-344
Author(s):  
Benjamin Braun ◽  
Jonathan Browder ◽  
Steven Klee
Keyword(s):  
2015 ◽  
Vol 283 (1-2) ◽  
pp. 59-102 ◽  
Author(s):  
Fatemeh Mohammadi ◽  
Farbod Shokrieh

2012 ◽  
Vol 356 (1) ◽  
pp. 304-324 ◽  
Author(s):  
Anton Dochtermann ◽  
Michael Joswig ◽  
Raman Sanyal
Keyword(s):  

2010 ◽  
Vol 270 (1-2) ◽  
pp. 145-163 ◽  
Author(s):  
Anton Dochtermann ◽  
Alexander Engström
Keyword(s):  

10.37236/8810 ◽  
2020 ◽  
Vol 27 (2) ◽  
Author(s):  
Margherita Barile ◽  
Antonio Macchia

We present an explicit construction of minimal cellular resolutions for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik resolution. This procedure allows us to ease the computation of the graded Betti numbers and the projective dimension.


2020 ◽  
Vol 127 (Suppl_1) ◽  
Author(s):  
Sally R Robinson ◽  
Nicholas A Robinson ◽  
Asma Boukhalfa ◽  
Dawn M Meola ◽  
Howard H Chen ◽  
...  

Dogs with cancer treated with chemotherapy agents such as doxorubicin (DOX) develop cardiovascular toxicity, providing an opportunity to evaluate cardioprotective strategies in the setting of cancer treatment translatable to human disease. However, due to the lack of a suitable approach to culture primary adult canine cardiomyocytes, mechanistic interrogation of cardiotoxicity after cancer therapy remains a challenge. Our study thus aims to validate a canine myocardial slice culture model to study autophagy modulation and the role of extracellular vesicle (EV) associated miRNA in the setting of DOX induced cardiotoxicity. We hypothesize that induction of autophagy in canine myocardial tissue will reduce apoptosis, exert early changes to EVs, and ameliorate DOX cardiotoxicity. Left ventricular tissue from client-owned donated adult dog hearts was sectioned with a vibratome and viability of the cultured myocardial slices was evaluated by histology and MTT assay. Apoptosis was quantified by TUNEL, and autophagy by fluorescent LC3 protein puncta. Secreted EVs were isolated from cultured tissue by size exclusion chromatography and characterized by nanoparticle tracking analysis, transmission electron microscopy and immunoblot. Canine myocardial slices are consistently viable for 7 days in culture - cardiomyocyte morphology is maintained with low levels of apoptosis, and baseline autophagy is observed. Induction of autophagy with rapamycin treatment results in reduced apoptosis. Cardiac tissue derived extracellular vesicles showed typical size, morphology and enrichment of proteins including tetraspanin CD9 and will be evaluated for changes to EV miRNA profile with autophagy modulation. The canine myocardial slice model allows, for the first-time, the elucidation of complex cross-talk among apoptosis, autophagy, and EVs with molecular and cellular resolutions. Detecting early changes in canine cardiomyocyte autophagy to halt cardiac damage rather than managing its consequences is a paradigm shift translatable towards preventing chemotherapy associated cardiotoxicity.


2012 ◽  
Vol 229 (3) ◽  
pp. 1516-1554 ◽  
Author(s):  
Alastair Craw ◽  
Alexander Quintero Vélez
Keyword(s):  

2006 ◽  
Vol 24 (1) ◽  
pp. 103-114 ◽  
Author(s):  
Florian Block ◽  
Josephine Yu

2007 ◽  
Vol 16 (3) ◽  
pp. 277-291 ◽  
Author(s):  
Mike Develin ◽  
Josephine Yu

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