We present a new two phase model of economic production processes which is a non-linear dynamical version of von Neumann's neoclassical model of production, including a market price-setting phase as well as a production phase. The rate of an economic production process is observed, for the first...

Do proteins with larger fluctuations in their functions show higher rates of their evolutions? To gain some insight on the question, we conducted an in vitro experimental evolution where a mutant of green fluorescence protein (GFP) with random sequence at its N terminus was subjected to ten...

We propose a concept of autonomous energy transducer at a molecular scale, where output is produced with small input energy, not very much larger than the thermal energy, without restriction of magnitude or timing of input, and without any control after the input. As an example that satisfies...

The variational principle of Glansdorff and Prigogine is formulated for stochastic processes and the relation between this method and the rate equation method is discussed in a certain frame-work of variational functions. An application is given to the Fokker-Planck equation to describe the...

Intra–inter dynamics approach is presented to study a biological system. It consists of units with internal dynamics, interaction among them, and their replication (and death) according to their internal states. Based on such scheme, a novel picture on a biological system is given, which...

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and rules for differentiation are found as a natural...