Whole genome sequencing is playing an increasingly central role in modern oncology, offering detailed insights that support the development of individualized treatment strategies, especially when combined with machine learning techniques. Traditional approaches that concentrate solely on identifying key driver mutations face limitations due to both the restricted sensitivity of current...
The fluctuations and the response of stochastic systems are related by fluctuation-dissipation theorems or, equivalently, fluctuation-response relations (FRRs). Originally introduced for systems in thermodynamic equilibrium, generalizations of such relations for non-equilibrium situations have been derived and studied since the 1970's and are particularly appealing for biological systems. In...
Extreme events, although rare, hold significant importance due to their huge impact in various areas of science (earthquakes, chemical reactions, population extinction, etc.). Typically, the kinetics of these events is described by Arrhenius laws, with exponentially distributed waiting times. However, this description may break down in the presence of long-term memory, i.e., for stochastic...
The g-subdiffusion equation is a subdiffusion equation containing the fractional Caputo time derivative with respect to another function g. The process described by this equation is interpreted as "ordinary" subdiffusion in which the time variable t has been replaced by an increasing function g(t). This function determines the frequency of jumps of the diffusing molecule. The g-subdiffusion...
