A graph is said to be -, where is the minor relation between graphs, if whenever is a graph with for all , then one also has , where is the disjoint union of many copies of . A well-known conjecture of Andreae is that every locally finite connected graph is -ubiquitous. In this paper we give a sufficient condition on the structure of the ends of a graph which implies that is -ubiquitous.
View Article and Find Full Text PDFThe epicardium, the outermost layer of the heart, is an important regulator of cardiac regeneration. However, a detailed understanding of the crosstalk between the epicardium and myocardium during development requires further investigation. Here, we generated three models of epicardial impairment in zebrafish by mutating the transcription factor genes tcf21 and wt1a, and ablating tcf21+ epicardial cells.
View Article and Find Full Text PDFBiochim Biophys Acta Mol Cell Res
August 2022