How Noise Flips a Genetic Switch
Deterministic bistability creates two memory states, but finite molecular copy number determines how long a stochastic genetic toggle remains in either one.
Read articleKenneth Cheng · Macau
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.
Tracking Mains Noise without Losing the Muscle Signal
A reproducible synthetic implementation separates a causal sEMG fast path from a gated frequency tracker, then tests harmonic cancellation, envelope fidelity, and host-Python timing without claiming participant or embedded-device validation.
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When Michaelis-Menten Stops Being Valid
A 243-case atlas treats Michaelis-Menten kinetics as a testable model reduction and maps where trajectory or event-time errors become important.
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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.
Graph-Calibrated Battery Thermal Early Warning
A calibrated graph-CUSUM benchmark for warning of local battery-pack thermal faults when a temperature sensor drifts or becomes unavailable.
Teaching
From first model to student research
Courses, interactive models, Python laboratories, and mentoring form a path from first assumptions to independent inquiry.