We show that for any two linear homogeneous equations E0, E1, each with at least three variables and coefficients not all the same sign, any 2-coloring of Z+ admits monochromatic solutions of color 0 to E0 or monochromatic solutions of color 1 to E1. We define the 2-color off-diagonal Rado number RR(E0, E1) to be the smallest N such that [1, N ] must admit such solutions. We determine a lower b...

Andrei Markov’s 1890 method for convergence-acceleration of series bears an amazing resemblance to WZ theory, as was recently pointed out by M. Kondratieva and S. Sadov. But Markov did not have Gosper and Zeilberger’s algorithms, and even if he did, he wouldn’t have had a computer to run them on. Nevertheless, his beautiful ad-hoc method, when coupled with WZ theory and Gosper’s algorithm, lead...

•Biochemical reaction states are approximated with PCA-transformed RNA-seq count data•Our graph neural network outperforms both random rewired and deep learning controls•Analysis of our model reveals reactions associated psoriasis in prior studies•Traditional analysis approaches fail to discover the found method The Human Genome Project unlocked door a vast but unannotated collection genes. In ...

Anand, Praveen – “Proteome-wide binding site network analysis of M. tuberculosis” (Panel) Nagasuma Chandra and Praveen Anand. Indian Institute of Science, India. Mycobacterium tuberculosis, causative agent of tuberculosis claims 4700 lives everyday. Special traits of the bacteria such as dormancy, ability to quickly take-over immunocompromised hosts and resistance adds to the complexity of the ...

Algae are defined by their photosynthetic organelles (plastids) that have had multiple independent origins in different phyla. These instances of organelle transfer significantly complicate inference of the tree of life for eukaryotes because the intracellular gene transfer (endosymbiotic gene transfer, EGT) associated with each round of endosymbiosis generates highly chimeric algal nuclear gen...