" This book is a lucid, straightforward introduction to the concepts and techniques of statistical
physics that students of biology, biochemistry, and biophysics must know. It provides a …

… We discuss biased random walks and show how hyperbolic models can be used to generate
correlated random walks. We cover two main applications of the random walk model. Firstly…

… Random walks are used to describe the trajectories of many … Simple diffusive random walk
models, or position jump … from the angular statistics of a random walk, and also to investigate …

… The simplest example of a random walk is that of a drunkard moving on a one-… random
walk as a sum of random variables. In the example of the drunkard's walk each of the random …

… the solid lines defining the biological network. We apply our random walk algorithm on the
adjacency matrix with a restart probability of 0.2, producing the random walk (proximity) matrix…

… problems on networks and explaining how the random walk model is used in networks …
random walk model is applied to solving the four types of biological problems based on biological …

… The theory of random walks … random walks, particularly developments of the past thirty years,
together with several applications to problems in chemical physics and one area of biology. …

… is a random walk with linear drift, a 0 + a 1 t, if a 1 ≠ 0, and a random walk with constant drift
… We model some of the macroevolutionary series as a random walk with constant drift, y t = a …

For many years, it has been believed that diffusion is the principle motive force for distributing
molecules within the cell. Yet, our current information about the cell makes this improbable. …

Strongly non-Markovian random walks offer a promising modeling framework for understanding
animal and human mobility, yet, few analytical results are available for these processes. …