Can Adhesion Alone Sort Cells into Tissues?
A cellular Potts study tests when differential adhesion produces sorting, engulfment, arrested mixtures, or misleadingly similar end states.
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Mathematical models for real systems.
From pattern formation and nonlinear mechanics to scientific institutions, reliability, and experimental design: reproducible computation, explicit assumptions, and honest limits turn models into testable research questions.
Latest writing
Question, verification, and limitation belong in the same article.
Every research article is manually written from verified private ScienceProject results and supported by approved figures, numerical checks, negative findings, claim boundaries, and references.
How Much Tail Risk Does a Gaussian Model Hide?
A controlled stress test compares Gaussian, Student-t, historical, and extreme-value risk forecasts under volatility clustering, leverage, heavy tails, and jumps.
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When Should an American Put Be Exercised?
A free-boundary study turns early exercise into an obstacle problem, then audits price, Greeks, convergence, and complementarity across three numerical methods.
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Four connected programmes
Research is organized by questions and methods, not only by publication date.
01→02→03→04→
Environmental Modeling
Spatial disease, ecosystems, coastal risk, climate forcing, and energy-environment interactions.
Mathematical Modeling Education
Pathways from an open-ended question to assumptions, computation, critique, and communication.
Reliability and Uncertainty
Sensitivity, calibration, robustness, and decision-making when model inputs or operating conditions are uncertain.
Urban and Mobility Systems
Models of routing, accessibility, traffic stability, fleet operations, and infrastructure trade-offs.
Selected research
Evidence before volume
Only projects with a clear question, reviewed figures, and visible assumptions and limitations appear here.
Accessible Multimodal Routing at Gongbei
A cohort-aware model of how slopes, stairs, transfers, crowding, and missing elevators change routes through a border hub.
Adaptive Harvesting under Allee-Effect Risk
A verified stochastic population study compares fixed, proportional, and refuge-based harvesting near a nonlinear collapse threshold.
American Put Free-Boundary Audit
A reproducible obstacle-PDE study resolves the American put exercise boundary and audits price, Greeks, convergence, and complementarity across three numerical methods.
Teaching
From first model to student research
Courses, interactive models, Python laboratories, and mentoring form a path from first assumptions to independent inquiry.