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Hayamizu Lab
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The lab uses the language of discrete mathematics to explain how living things evolve.
AboutAbout the lab
Solving the puzzles of life science with discrete mathematics
The Hayamizu Lab uses the language of discrete mathematics to study problems that arise in biology.
Centered on the theory of phylogenetic trees and phylogenetic networks, which represent the evolution of living things, the lab works at the intersection of discrete mathematics, statistics, and biology.
This work is expected to help explain phenomena that are also medically important, such as cell differentiation and viral mutation.
Key terms
- Discrete mathematics
- A field of mathematics that deals with distinct, separate objects (such as combinations of points and shapes) rather than continuous ones
- Phylogenetic tree
- A tree-shaped diagram showing how living things have branched and evolved
- Combinatorics
- A field of mathematics that studies the number of ways to choose or arrange things, and the rules behind them
NewsLab news
A paper by Associate Professor Hayamizu and colleagues was published in Algorithms for Molecular Biology
Associate Professor Hayamizu received the Encouragement Award of the Mimura Prize in Phenomenological Mathematics
Associate Professor Hayamizu received the "FY2025 Encouragement Award of the Mimura Prize in Phenomenological Mathematics" (Meiji Institute for Advanced Study of Mathematical Sciences (MIMS), Meiji University)
A paper by Associate Professor Hayamizu and colleagues was published in IPSJ Transactions on Bioinformatics (TBIO)
ResearchResearch themes
The lab specializes in discrete mathematics (combinatorics, graph theory, discrete geometry, and discrete algorithms), which deals with problems involving graphs and networks. Currently, the lab is developing a new field at the intersection of discrete mathematics, statistics, and biology, focusing on theoretical research in phylogenetics related to the inference of phylogenetic trees and phylogenetic networks.
*Illustrative imageMathematics of phylogenetic trees representing evolution
The lab formulates phylogenetic trees and phylogenetic networks, which represent the evolution of living things, in the language of discrete mathematics, and produces new theorems and algorithms.
*Illustrative imageInferring the paths of cell differentiation
The lab is developing Treefit, a method that uses single-cell gene expression data to infer the branching paths along which cells differentiate.
*Illustrative imageCombinatorics of pedestrian flow
The lab also conducts combinatorial research on pedestrian counterflow, using mathematical formulas to describe how people pass each other on a crosswalk.
MembersFaculty
- Momoko Hayamizu
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Petersen graph total coloring” Vinod kalagi / CC BY-SA 4.0 (cropped)
- Mathematics of phylogenetic trees representing evolution: “The Waimakariri River from the air, 17 April 2026” Danny William Wilson / CC BY-SA 4.0 (cropped)
- Inferring the paths of cell differentiation: “Single Cell RNA Seq (NIH BioArt 767)” NIAID (Ryan Kissinger) / Public domain (cropped)
- Combinatorics of pedestrian flow: “Alcoa Highway Light Trails” Brian Stansberry / CC BY 3.0 (cropped)
- Related lab (Takahashi Lab): “Sample run of Rule 110 elementary cellular automaton, starting from single cell” LucasVB / CC0 (cropped)
- Related lab (Liu Lab): “Triangular wave and square wave on oscilloscope screen (cropped)” User:Xato / CC0 (cropped)
- Related lab (Muramatsu Lab): “Spread of light in optical fiber, Macro visualization, Demonstration of prof Angel Toshkov to students” AZToshkov / CC BY-SA 3.0 (cropped)
- Related lab (Ogita Lab): “U.s.-kilogram-masses” National Institute of Standards and Technology / Public domain (cropped)
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