The life of cells and microorganisms, such as bacteria, is shaped by a complex interplay of internal mechanisms and environmental interactions, governing fundamental aspects such as movement and division and culminating in the formation of stable tissues or large colonies. Understanding and controlling these self-organizing phenomena are crucial, particularly in developmental biology and medicine. As key examples of movement and growth, this symposium will feature talks on wound healing, lamellipodium-driven cell migration, and the regulation of bacterial population size under antibiotic stress.

At the core of large-scale biological phenomena are intricate individual behaviors. In cell migration, the lamellipodium—a thin membrane protrusion relying on actin filament dynamics—plays a key role in crawling motility. The individual polarization of lamellipodia and cell-matrix adhesion is guided by environmental chemical signals that eventually lead to complex cell-cell interactions fundamental to multicellular dynamics. For bacteria, phenotypic heterogeneity in response to stress—such as variations in resistance or division—determines population-level survival, involving a complex trade-off between individual response and population growth.

The inherent heterogeneity of these systems presents both experimental challenges and rich opportunities for mathematical modeling. This symposium will thus explore a range of mathematical approaches—including dynamical systems with delays, stochastic methods, partial differential equations, and computational techniques—all aimed at bridging the gap between individual and population scales.

1. Gervy Marie Angeles (Institute of Mathematics, University of the Philippines Diliman, Philippines)
   Towards the Simplest Filament-Based Lamellipodium Model: A Reduced Approach to Lamellipodial Dynamics
2. Steffen Plunder (Institute for the Advanced Study of Human Biology (ASHBi), Kyoto University, Japan)
   Position-based Dynamics for Multicellular Systems with Adhesion Memory
3. Jinghao Chen (Institute for the Advanced Study of Human Biology (ASHBi), Kyoto University, Japan)
   Modeling heterogeneous PIEZO1 activity in collective keratinocyte migration
4. Ignacio Madrid (Laboratory for Quantitative Biology, Institute of Industrial Science, The University of Tokyo, Japan)
   Stress response trade-offs in a model of bacterial growth under antibiotics: single-cell versus population approaches

Although mathematicians seem to focus only on pure mathematics, efforts in such pure mathematical problems help in other fields, particularly in analyzing biological phenomena. In this symposium, we have five lectures on studies that mathematicians have solved several problems in biology, such as using partial differential equations to model biological phenomena and analyze shapes quantitatively. We hope this minisymposium provides insight into how mathematicians solve biological problems and how to collaborate with them, as well as an opportunity to engage them.

1. Karin Ikeda (Joint Graduate School of Mathematics for Innovation, Kyushu University)
   Modelling and morphometric analysis of seal teeth
2. Yuki Kaneko (Department of Mathematical Sciences and Physics, Kanto Gakuin University)
   Spreading of species modeled by a reaction-diffusion equation with free boundaries
3. Shohei Kohatsu (Department of Mathematics, Tokyo University of Science)
   Immediate smoothing of measure-type population densities in a Keller–Segel system with flux limitation
4. Masaaki Mizukami (Department of Mathematics, Faculty of Education, Kyoto University of Education)
   Mathematical analysis of a model for tuberculosis granuloma
5. Yuya Tanaka（Department of Mathematical Sciences, Kwansei Gakuin University）
   Global boundedness in chemotaxis systems with Robin boundary conditions

For over a century, the development of mathematical models and exploring their dynamics have been central to scientific research. In recent years, this field has been significantly enriched by contributions from researchers across multiple disciplines. This mini-symposium aims to provide a comprehensive understanding of model-based ecological principles by introducing several novel population models. These models incorporate various ecological phenomena, including the Allee effect, hunting cooperation, strong-weak competition, Conser functional response, omnivory, age structure, diffusion, and time delays. A notable challenge in the stability analysis of some models arises from the presence of an infinite number of eigenvalues. We demonstrate how the dominant eigenvalue determines population distribution and identify key parameters influencing system behavior. Furthermore, we investigate several bifurcations at equilibrium, including saddle-node, transcritical, pitchfork, and Hopf bifurcations. The discussion also extends to saddle-node bifurcations of limit cycles and rate-induced phase tipping (RP-tipping) between two stable limit cycles. All bifurcations are analyzed within the framework of ecological principles, providing valuable insights into the optimal utilization of biological resources and the maintenance of ecological balance.

1. Asep K. Supriatna (Padjadjaran University, Indonesia)
   Exploring the Existence of Limit Cycle in a Holling-Type II Predator-Prey Model with Allee Effect
2. Tapan Kumar Kar (Indian Institute of Engineering Science and Technology, Shibpur, India)
   Asymptotic and short-term responses of perturbation: A mathematical comparison of stability measures
3. Yoichi Enatsu (Tokyo University of Science, Japan)
   Dynamics and bifurcation analysis of a prey-predator model with hunting cooperation
4. Mohd Almie Bin Alias (Universiti Kebangsaan Malaysia, Malaysia)
   Transient solutions and critical times of diffusive Lotka-Volterra strong-weak competition system
5. B.S.R.V. Prasad (Vellore Institute of Technology, India)
   Mathematical Exploration of Risks and Advantages of Polyphagous Behaviour in Natural Enemies and Pests in the Context of Biological Control
6. Debdeep Roy (Indian Institute of Technology Indore, India)
   Stability Switching, Instability Switching, and Global Stability in Three Species Models
7. Ritwika Mondal (Academia Sinica, Taipei, Taiwan)
   Four-species food webs analysis in chemical reaction networks
8. Ryo Oizumi (National Institute of Population and Social Security Research, Tokyo, Japan)
   The Eigenvalue Problem of the Multi-State Age-Structured Population Model and the Population Structure of Japan
9. Ryusuke Kon (University of Miyazaki, Japan)
   Discrete-time resident-invader dynamics
10. Partha Sharathi Dutta (Indian Institute of Technology Ropar, India)
    Rate-induced tipping in savanna-forest ecosystems
11. Anuraj Singh (Atal Bihari Vajpayee Indian Institute of Information Technology and Management Gwalior, India)
    A modified May Holling Tanner Model: the role of dynamic alternative resources on species' survival
12. Bapan Ghosh (Indian Institute of Technology Indore, India)
    Multiple Stability Transitions, Basin evolution, and Stock Benefits in a Delayed Predator-prey Model.

In biological systems, pattern formation and morphogenesis emerge from mechanical forces, geometric constraints, and biochemical regulation. By integrating mathematical modeling, computational simulations, and biological experiments, researchers are revealing how living structures take shape. This mini-symposium gathers experts in applied mathematics, computational biology, and experimental biophysics to discuss cutting-edge progress in morphogenetic pattern formation.

Geometric constraints shape epithelial tissue dynamics. Growth-induced stresses and material properties produce digit-like features, while imaging and modeling—ranging from optimal transport to phase-field methods—quantify tissue evolution. These approaches link mechanical forces to cellular behavior. Morphological interfacial dynamics also highlight topological transitions, from nuclear reorganization to tumor growth.

Integrating theory and experimentation, this symposium spotlights interdisciplinary collaboration to address biological complexity. Talks will feature mathematical and computational tools—stochastic methods, differential equations, and more—for multiscale analysis. We aim to spark collaborations, inspire innovative strategies, and deepen our understanding of morphogenesis.

1. Yasuhiro Inoue（School of Engineering, Kyoto University）
   Geometric Constraints and Their Role in Epithelial Folding Patterns
   
2. Ki-Jun Yoon（Department of Biological Sciences, Korea Advanced Institute of Science & Technology (KAIST), Korea）
   Non-invasive and Unbiased AI-Based 3D-Holotomography Analysis for Pluripotency Prediction of Human Induced Pluripotent Stem Cells
   
3. Antoine Diez（Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN, Japan）
   Emergence of digit-like structures through mechanical instabilities: A hybrid computational and experimental study
   
4. Sukekawa Tsubasa（Institute for the Advanced Study of Human Biology (ASHBi), Kyoto University, Japan）
   Imaging data-based model description tool using optimal transport theory and phase-field method
5. Min-Jhe Lu（Institute of Computational and Modeling Science, National Tsing Hua University, Taiwan）
   Mechanical and Chemical Interactions in Tumor Growth: Insights from Mathematical Modeling
   

1. Yuting Lou（Multiscale Research Institute for Complex Systems, Fudan University, China）
   Mechanics-induced Cell-Cycle Synchronization and the Emergence of Tissue Homeostasis
   
2. Meng Zhao（Huazhong University of Science and Technology, China）
   Morphological interfacial dynamics in a multi-connected region
   
3. Qing Chen（Tongji University, China）
   Modeling and simulation of cell nuclear architecture reorganization process via phase field approach
   
4. Sungha Yoon（University of California, Irvine, USA）
   Phase-field method for simulating growing tumors with the chemomechanical regulation
   

This mini-symposium will focus on the mathematical models of plant growth, with particular emphasis on phyllotaxis, L-systems, and differential growth on general surfaces and volumes in 3D space. In recent years, while the asymmetry observed in actual plant morphology has been explored from physical, biochemical and genetic perspectives, theoretical research has revealed that long-standing mathematical models possess a much higher degree of freedom than previously thought, encompassing broader morphospaces. It is interesting to ask whether these different approaches can be integrated to provide new insights into plant morphogenetic development. By bringing together researchers from diverse backgrounds, this session aims to consolidate recent developments and identify open questions in the field.

1. Christophe Godin (INRIA, France)
   Stochasticity in phyllotaxis: analysis and modeling
2. Kentaro Morikawa (Kyoto University, Japan)
   Geometric Analysis of Differential Growth Governing 3D Morphogenesis of Biological Surfaces
3. Takuya Okabe (Shizuoka University, Japan)
   Phyllotaxis and EVOLUTION (not Growth) of Plants
4. Adam Runions (University of Calgary, Canada)
   Phyllotaxis without symmetry: Lessons learned from flower heads.
5. Ryoko Tomiyasu (Kyushu University, Japan)
   Pattern formation on general surfaces and 3D volumes via a generalization of the golden angle method
6. Yoshikazu Yamagishi (Ryukoku University, Japan)
   Voronoi tessellations on Archimedean spiral lattices
7. Takaaki Yonekura (The University of Tokyo, Japan)
   Common mathematical structures underlying developmental constraints and light capture optimization in phyllotaxis

As global health threats on disease dynamics such as emerging infectious diseases, antimicrobial resistance, and cancers become increasingly complex, there is a growing need for innovative tools and interdisciplinary collaboration. The symposium will focus on the latest mathematical and computational frameworks and methods, including dynamic system theory, nonlinear analysis, parameter estimation, and data fitting, to address real-world epidemiological problems. The symposium aims to bring together experts in mathematics, computational science, and epidemiology to explore mathematical models and computational tools in understanding, predicting, and controlling infectious diseases and other public health challenges.

1. Yasuhiro Takeuchi (Aoyama Gakuin University, Japan)
   Bifurcation Analysis in a Tumor-Immune System Interaction Model
2. Sanling Yuan (University of Shanghai for Science and Technology, China)
   Epidemic Threshold and Ergodicity of an SEIR Model with Vertical Transmission Under the Telegraph Noise
3. Daihai He (The Hong Kong Polytechnic University, China)
   The Effectiveness of the COVID19 Vaccination Campaign in 2021: Inconsistency in Key Studies
4. Yijun Lou (The Hong Kong Polytechnic University, China)
   Infection-induced Host Extinction: Deterministic and Stochastic Models for Environmentally Transmitted Pathogens
5. Yixuan Gao (Fudan University, China)
   Understanding Dynamical Bio-networks: The Matter of Nonlinear Feedbacks
6. Wanbiao Ma (University of Science and Technology Beijing, China)
   A Class of Kawasaki Disease Model Considering Vascular Endothelial Cell Injury and Time Delays
7. Yueping Dong (Central China Normal University, China)
   Evaluating the Long-term Effects of Combination Antiretroviral Therapy of HIV Infection: A Modeling Study

Dynamic epidemic models greatly help in understanding and forecasting the transmission pattern of epidemic diseases in a particular region. Disease modeling has become a critical tool in public health, offering insights into the spread, impact, and potential control strategies for infectious diseases. This mini-symposium brings experts from various fields to explore the latest advancements in mathematical and computational modeling techniques. Attendees will better understand how disease models inform decisions on prevention, treatment, and policy-making. Topics will include epidemic forecasting, model calibration, and real-world applications, with a focus on emerging diseases like diabetes, tuberculosis, cancer, etc., and the role of AI/ML in shaping future healthcare responses.

1. V. Govindaraj（National Institute of Technology Puducherry, India）
   Role of fractional derivatives in the mathematical modelling of disease dynamics
2. Saroj Kumar Sahani（South Asian University, India）A Delayed Mathematical Model of Tuberculosis with Role of Awareness Program
3. P. Danumjaya（BITS-Pilani K.K. Birla Goa Campus, Goa, India）
   Dynamic Modeling, Analysis of Tuberculosis Infection among Diabetic Patients and Parameters Estimation Using Physics-Informed Neural Networks (PINNs).
4. Nilam（Delhi Technological University, India）
   Modelling and simulation of the effects of Partial and Full Vaccination on the dynamics of an epidemic
5. Nor Farah Wahidah Binti Nor Khalid（Universiti Kebangsaan Malaysia, Malaysia）Dynamics between two competing species in tumor cells with altered metabolism under hypoxic conditions
6. Ravi Pratap Gupta（Banaras Hindu University, India） 
   Nonlinear Study of SIR and UAIR Models in Temporal and Spatio-temporal frameworks
7. Anushaya Mohapatra（BITS-Pilani K.K. Birla Goa Campus, Goa, India）
   Modelling Infectious Disease with Migration and Stochastic Transmission
8. L. Shangerganesh（National Institute of Technology Goa, India
   A Priori Error Estimates for Finite Element Discretizations of the Cancer Invasion Mathematical Model

As members of Earth's biodiversity, our researchers are fascinated by its beauties and pursue it, theoretically and/or empirically. We may find each treasure during the explorations. To avoid a blind way of resource wasting in the process, principles of conduct will be often required. As ones of such guidances, theories that had regarded as purely mathematics began to be accepted in various experimental systems. And custom mathematical models have been designed to encourage specific experiments. While theories which meet experimental data have valuable opportunities to deepen the knowledge. Reflecting this, the importance and responsibility of mathematical models is now increasing by their interaction with experiments. This session will specifically focus on simple mathematical models, which have the power to understand the phenomenon of interest and the advantage of extracting its mathematical structure. I will introduce the following theoretical attempts closely associated with experiments on pattern formation and morphogenesis. And we will discuss the way to reach the highest potential of the mathematical models in the future.

1. Masakazu Akiyama (Toyama University)
   A Mathematical model of left-right asymmetry formation in living organisms
2. Misaki Sakashita (Tokyo University of Science)
   Material orientation optimization model to explain vertebral growth via adaptation to mechanical loads
3. Toshiaki Tameshige (Kyoto Prefectural University)
   A mutual inhibition between phytohormone auxin and EPFL peptides modulates the periodic pattern of auxin in model plant Arabidospsis
4. Naoya Kamamoto (Hiroshima University)
   Mechano-geometric control of stem cell divisions mediates plant body symmetry diversity in 3D computational model
5. Akiko Nakamasu (Meiji University)
   Predictions of the mechanisms for pinstripe and elliptical-leaf formations from analyses of mathematical models

In recent years, the integration of artificial intelligence (AI) and computational methods has revolutionized the field of complex biological systems. Dynamical modeling, especially powered by AI-driven tools, has become essential for deciphering the mechanisms of biological dynamics. Not only the advent of big data and advanced machine learning techniques offers unprecedented opportunities to understand the development of life, but also the novel mathematical models. In this mini-symposium, we will invite leading experts to discuss the state-of-the-art advances in complex dynamics and computational systems biology. We welcome all scholars to explore novel ideas and collaborative opportunities in this rapidly evolving and highly promising area.

1. Huanfei MA (Soochow University)
   Data driven reconstruction of high order relations in complex systems
2. Siyang LENG (Fudan University)
   Causality meeting reservoir computing
3. Jifan SHI (Fudan University)
   Deciphering tissue structure from single-cell sequencing data by density ratio transfer
4. Peijie ZHOU (Peking University)
   Towards AI Virtual Cells through Dynamical Generative Models
5. Chengming ZHANG (UTokyo)
   Deciphering cell state transitions by hierarchical causal decomposition for multi-perturbation predictions