Richard Penner · @Arpie4Math
48 followers · 119 posts · Server mathstodon.xyz
@noswald An #AlgebraicCurve is named by the order of the implicit polynomial equations describing them.
\[ \frac{1}{x^2} + \frac{1}{y^2} = 1 \Rightarrow x^2 y^2 - x^2 - y^2 = 0 \]
So it is a #quartic curve of the form 𝑥²𝑦²−𝑏²𝑥²−𝑎²𝑦²=0 which is called a #cruciform curve, cross curve, or sometimes the policeman on point duty curve.
https://mathworld.wolfram.com/Cruciform.html
https://en.wikipedia.org/wiki/Quartic_plane_curve#Cruciform_curve
#cruciform #quartic #algebraiccurve
The EMBO Journal · @embojournal
369 followers · 59 posts · Server sciencemastodon.com
What is the #molecular basis of #syntheticlethality between loss of Werner #helicase #WRN and #mismatchrepair #MMR proteins particularly in #cancer cells with #microsatellite instability?
Using #biochemcial assays, Petr Cejka and colleages, Bellinzona LRB, show how they synergistically and independently unfold #cruciform #DNA structures, with WRN preventing their cleavage by #SLX1-#SLX4 structure-specific #endonuclease and DNA breakage
#molecular #syntheticlethality #helicase #wrn #mismatchrepair #MMR #cancer #microsatellite #biochemcial #cruciform #dna #slx1 #slx4 #endonuclease
Matej Lexa · @matej_lexa
126 followers · 315 posts · Server scicomm.xyz
@dmonchaud Thanks for sharing. The illustrations are really great. I think I am going to print Figure 1 as a poster!
#DNA #nonBDNA #HDNA #G4 #G4DNA #GQuadruplex #cruciform
#cruciform #Gquadruplex #G4DNA #g4 #HDNA #nonBDNA #dna