Stochastic simulations are one of the cornerstones of the analysis of dynamical processes
on complex networks, and are often the only accessible way to explore their behavior. The …

Stochastic protein accumulation up to some concentration threshold sets the timing of many
cellular physiological processes. Here we obtain the exact distribution of first threshold …

The Gillespie algorithm provides statistically exact methods for simulating stochastic
dynamics modeled as interacting sequences of discrete events including systems of …

Many multiagent dynamics can be modeled as a stochastic process in which the agents in
the system change their state over time in interaction with each other. The Gillespie …

It took quite a long time to complete this book. More than 20 years had elapsed since I wrote
my last volume as an author, not just as an editor. And I felt it important to find again the …

In this paper a new model of growing and dividing protocells is described, whose main
features are (i) a lipid container that grows according to the composition of the molecular …

Artificial protocellular compartments and lipid vesicles have been used as model systems to
understand the origins and requirements for early cells, as well as to design encapsulated …

We present a simple mathematical model that captures the evolutionary capabilities of a
prebiotic compartment or protocell. In the model, the protocell contains an autocatalytic set …

Protocells are supposed to have played a key role in the self-organizing processes leading
to the emergence of life. Existing models either (i) describe protocell architecture and …

Notions of viability and viability boundaries appear in many different fields, including
protocell research as it is within the field of Artificial Life (Alife). However, we do not have any …