BIOE 5115 — Dynamical Systems in Biological Engineering
4 semester hoursGraduateLectureusually offered: fall, springtypical days: T/FBostonOnlinePortland, MaineLive CastTraditionalVideo Streaming
Introduces the theoretical analysis and modeling of dynamical systems in biology, ranging from molecular to population applications. Topics include difference and differential equation models, with basic theory including nondimensionalization, steady states, linearization, stability, eigenvalues, global behavior, singular perturbations, multistability, hysteresis, cooperativity, periodic solutions, excitable systems, bifurcations; and an introduction to spatial (PDE) models. Develops all concepts in the context of concrete biological applications, such as gene regulation; chemical reaction networks and stoichiometry; drug models and PK/PD; receptor/ligand interactions; synthetic constructs; action potential generation; enzymatic reactions; population interactions; epidemiology; epigenetic phenomena, including differentiation and transport; chemotaxis; and diffusion.
Prerequisites
- one of:
- one of:
- MATH 2341 (min D-)
- MATH 315M
- graduate program admission
- one of:
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2023 | 1 | 23 | 49 | 47% | 26.0 |
| Spring 2024 | 1 | 18 | 21 | 86% | 3.0 |
| Fall 2024 | 2 | 17 | 53 | 32% | 18.0 |
| Fall 2025 | 2 | 19 | 35 | 54% | 8.0 |
| Spring 2026 | 1 | 36 | 38 | 95% | 2.0 |
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 0% · T 85% · W 14% · Th 0% · F 85%
Common patterns: TF (85% of sections), W (14% of sections), async (1% of sections) — in patterns, R means Thursday
Professors
Fall
- Mingyang Lu (68% of students) · reviews
- Kiran Vanaja (32% of students) · reviews
Spring
- Eduardo Sontag (100% of students) · reviews
Percentages are each professor's average share of the season's enrolled students in recent terms.
Links
Official catalog (BIOE course descriptions) · Student reviews on RateMyHusky · All BIOE courses · Plan it at numap.app