Arturo Tozzi, MD, PhD, AAP
Center for Nonlinear Science, Department of Physics, University of North Texas, Denton, Texas 76203, USA
1155 Union Circle, #311427
Denton, TX 76203-5017 USA
E-mail address: email@example.com
The dynamics of biological activities, such as cellular metabolic pathways, protein folding and brain activity, can be described in terms of curved trajectories in hyperbolic spaces, constrained by energetic requirements. Here we, starting from the theorems recently-developed by a deceased Field Medal young mathematician, show how it is feasible to find and quantify the shortest, energy-sparing functional trajectories taking place in biological systems’ concave phase spaces. This allows researchers to focus their studies on the few, most prominent paths and loops able to explain, elucidate and experimentally assess rather elusive biological functions.