205 citations · 371 across the 6 of their papers we have counts for
6 papers
Structural Bifurcation Analysis in Chemical Reaction Networks
Takashi Okada, Je-Chiang Tsai, Atsushi Mochizuki
In living cells, chemical reactions form a complex network. Complicated dynamics arising from such networks are the origins of biological functions. We propose a novel mathematical…
Sensitivity and Network Topology in Chemical Reaction Systems
Takashi Okada, Atsushi Mochizuki
In living cells, biochemical reactions are catalyzed by specific enzymes and connect to one another by sharing substrates and products, forming complex networks. In our previous st…
Dynamical Pattern Selection of Growing Cellular Mosaic in Fish Retina
Noriaki Ogawa, Tetsuo Hatsuda, Atsushi Mochizuki +1
A Markovian lattice model for photoreceptor cells is introduced to describe the growth of mosaic patterns on fish retina. The radial stripe pattern observed in wild-type zebrafish…
Law of localization in chemical reaction networks
Takashi Okada, Atsushi Mochizuki
In living cells, chemical reactions are connected by sharing their products and substrates, and form complex networks, e.g. metabolic pathways. Here we developed a theory to predic…
On the transient and steady state of mass-conserved reaction diffusion systems
Shuji Ishihara, Mikiya Otsuji, Atsushi Mochizuki
Reaction diffusion systems with Turing instability and mass conservation are studied. In such systems, abrupt decays of stripes follow quasi-stationary states in sequence. At stead…
A mass conserved reaction-diffusion system captures properties of cell polarity
Mikiya Otsuji, Shuji Ishihara, Carl Co +3
Various molecules exclusively accumulate at the front or back of migrating eukaryotic cells in response to a shallow gradient of extracellular signals. Directional sensing and sign…