# Computational Life Science

### From DynamicBrain Platform

Professor: Ichiro Tsuda,

Associate Professor: Yuzuru Sato,

Assistant Professor: Yutaka Yamaguti,

Secretary: Atsuko Hira, Yuki Takagi,

Research worker: Satoru Tadokoro, Shigeru Kuroda, Hunseok Kang,

Student: nine

## Contents

## Mathematics for Life Science

Computational life science is a new field of research, which has been promoted in cooperation with Department of Mathematics. The aim of this laboratory is to clarify the complexity embedded in various biological phenomena, which may emerge over multi-scales of space and time. Biological systems express a specific complexity, which typically appears in cell differentiation and also in functional differentiation in the brain. In cell differentiation, for instance, it is not, in advance, determined that which part of embryo becomes eyes. All organs are organized in accord with the development of an individual as a whole system. A similar organization is observed in the functional differentiation of the brain. A whole brain acts as a system, in which all cortical areas such as a visual cortex are organized in accord with the development of a whole brain. In this laboratory, taking into account these characteristics, we would like to construct a new system theory, that is, a complex systems theory, based on the intensive studies on various topics described below.

## Research Interests

Mathematical modeling of higher functions of the brain, Nonlinear dynamical systems and chaos, Mathematical modeling of self-reproduction and self-reorganization, Mathematical studies for biological evolution

## Computational Life Science

Chaotic dynamical systems ⇒ | Complex systems ⇒ | Dynamic brain theory |
---|---|---|

Noise-induced order | Cerebral hermeneutics | Dynamic associative memory |

Chaotic information dynamics | Interfaciology | Episodic memory−Cantor coding |

Chaotic itinerancy | Theory for inference | Class I* & gap junction network |

Skew product transformation | Formalization of experiment | Evolutionary neurodynamics |

Animal experiments with Neurophysiologists in Tamagawa Brain Science Institute

### 1.Cantor coding in the hippocampus

(Tsukada’s lab.)

### 2.Inference process

(Sakagami’s lab.)

Ref) I. Tsuda, Behavioral and Brain Sciences, 24 (2001) 793-847. K. Kaneko and I. Tsuda, Complex Systems: chaos and beyond, Springer-verlag, 2001 [Link]