One of classical music's great mysteries is J.S. Bach's unfinished piece in The Art of the Fugue musical work; specifically the Fuga a 3 Soggetti piece which ends rather abruptly . Probably many authors, artists or composers leave unfinished work before they're ready to meet their maker, but what leaves this specific unfinished work even more puzzling is that the author, J.S. Bach, finished it with the musical motif B-A-C-H (B♭–A–C–B♮ is the english notation). Did Bach intentionally leave his name as the last motif just so he can laugh in his grave while we, centuries later, still squeeze our minds thinking about it? Hard to say, but it did indeed inspire many composers after him to try to finish the work, more than 80 attempts in fact [ 1 ]. Since Bach is famous for his mathematical precision in composition, this blog will approach completing the fugue as a mathematical puzzle to solve. I will take a probabilistic approach using Markov chains, try state of the art AI ...
In previous posts , I briefly introduced the world of synthetic biology and designing of genetic circuits. The goal of competition such as iGEM is to encourage people designing creative solutions to real-world problems using synthetic biology with the hope of moving the field out of academia into industry, much like electronics. And much like electronics, iGEM is trying to develop a library of biological parts, analogous to electronic parts such as capacitors and resistors to build any circuit. If you have ever dabbled in electronics, you'd notice that not parts are created equally; Some capacitors have higher efficiencies than others which might suit a certain application more. In this post, I want to explore one of the most important "biological parts" in my opinion: What are promoters Promoters are regions of DNA usually found upstream of a gene that act as a switch to express whatever gene is downstream of it. Since translating DNA to mRNA requires the help of RNA ...