8 citations · 15 across the 5 of their papers we have counts for
5 papers
Phenomenological understanding of aggregation and dispersion of chemotactic cells
Masatomo Iwasa, Ryosuke Ishiwata
We present a simple model that describes the motion of a single chemotactic cell exposed to a traveling wave of the chemoattractant. The model incorporates two types of responses t…
Solution of reduced equations derived with singular perturbation methods
Masatomo Iwasa
For singular perturbation problems in dynamical systems, various appropriate singular perturbation methods have been proposed to eliminate secular terms appearing in the naive expa…
The exact probability distribution of saturating states in random sequential adsorption
Masatomo Iwasa, Kyohei Fukuda
We consider the non-overlapping irreversible random sequential adsorption (RSA) process on one-dimensional finite line, which is known also as the car parking process. The probabil…
Renormalization group in difference systems
Masatomo Iwasa, Kazuhiro Nozaki
A new singular perturbation method based on the Lie symmetry group is presented to a system of difference equations. This method yields consistent derivation of a renormalization g…
A Method to Construct Asymptotic Solutions Invariant under the Renormalization Group
Masatomo Iwasa, Kazuhiro Nozaki
A renormalization group method with the Lie symmetry is presented for the singular perturbation problems. Asymptotic solutions are obtained as group-invariant solutions under appro…