Titlebook: Mathematical Approaches to Biological Systems; Networks, Oscillatio Toru Ohira,Tohru Uzawa Book 2015 Springer Japan 2015 Biological network

交响乐

Chases and Escapes: From Singles to Groups, nearest escapee, while each escapee steps away from its nearest chaser. Although there are no communications within each group, simulations show segregations of chasers and targets. Two order parameters are introduced to characterize the chasing and escaping in group. Further developments are reviewed to extend our basic model.

TAG

Human Balance Control: Dead Zones, Intermittency, and Micro-chaos,orrective movements made by humans to maintain balance are small amplitude, intermittent and ballistic. Small-amplitude, complex oscillations (“micro-chaos”) frequently arise in industrial settings when a time-delayed digital processor attempts to stabilize an unstable equilibrium. Taken together, t

责怪

Dynamical Robustness of Complex Biological Networks, a challenging issue to understand robustness of biological interaction networks from a viewpoint of dynamical systems. In this chapter, we introduce the concept of dynamical robustness in complex networks and demonstrate its application to biological networks. First, we introduce the framework for

jumble

使出神

Entrainment Limit of Weakly Forced Nonlinear Oscillators,of injection locking to date, it has been an open problem to establish an ideally efficient injection locking in a given oscillator. In this chapter, I identify a universal mechanism governing the entrainment limit under weak forcings, which enables us to understand how and why the ideal injection l

overhaul

A Universal Mechanism of Determining the Robustness of Evolving Systems, emerges, or at least persists, under successive introductions of new elements. To have a general and simple understanding for the basic condition to let such systems grow, we investigate a simple mathematical process. It is found that the model system either grows infinitely large or stays finite d

aphasia

Vaginismus

Chases and Escapes: From Singles to Groups,pical “one-to-one” chase and escape. Recently, we have proposed a simple model where we extend the chaser and escape to a case a group of particles chasing another group, called “group chase and escape.” This extension connects the traditional problem with current interests on collective motions of

Vulnerable

Urgency

Gouhei Tanaka,Kai Morino,Kazuyuki Aiharantroductory book is not only for thenovice reader, but for experts in a variety of areas includingparallel computing, neural network computing, computer science,communications, graph theory, computer aided design for VLSI circuits,molecular biology, management science, and operations research. Thego