MétaCan
Menu
Back to cohort
Record W7133034630

On the spatio-temporal dynamics of boundary forced open reactive flows

2001· dissertation· W7133034630 on OpenAlexfundno aff
Mads Kærn

Bibliographic record

VenueTSpace · 2001
Typedissertation
Language
FieldComputer Science
TopicNonlinear Dynamics and Pattern Formation
Canadian institutionsnot available
FundersUniversity of TorontoUniversity of Oxford
KeywordsBistabilityFlow (mathematics)Dissipative systemConstant (computer programming)Context (archaeology)Boundary value problemExcitable mediumHopf bifurcationForcing (mathematics)
DOInot available

Abstract

fetched live from OpenAlex

This thesis investigates the effect of constant or periodic boundary forcing on the spatio-temporal dynamics of open flows of media whose kinetics can be oscillatory, bistable or excitable. The systems investigated are those where the flow profile is uniform (“plug-flow”) and the flow coefficients are equal. Oscillatory and excitable media are investigated experimentally using the ferroin-catalysed Belousov-Zhabotinsky (BZ) reaction medium. Given appropriate flow conditions, stationary space-periodic structures are observed. I refer to them as “flow-distributed oscillations” (FDO) and “flow-stabilised dissipative structures” in oscillatory and excitable media, respectively. Periodic forcing of oscillatory media leads to travelling waves. They propagate upstream or downstream with either constant or oscillatory velocity. The constant velocity waves are in quantitative agreement with predictions from spatio-temporal phase dynamics. The oscillatory waves are also phase waves. The effect of periodic forcing on bistable and excitable media or on media having a Hopf or Turing unstable steady state is discussed in the context of persistent, downstream advected space-periodic structures. These waves have velocities that are equal to that of the flow and wavelengths that are equal to the product of the flow velocity and the period of the boundary forcing. The relevance of open reactive flow to biological morphogenesis is discussed. In many organisms, space-periodic structures are formed sequentially, one after the other, during axial growth of the embryo. Axial growth is shown to be equivalent to an open flow. Relative to the growth/flow boundary, the space-periodic structure has a velocity that is equal to the growth/flow velocity. Recent experiments established the operation of a cell-autonomous oscillator in early vertebrate development and showed that the formation of space-periodic structure is preceded by gene expression waves with an intricate spatio-temporal dynamics. They are mimicked in a chemical flow system, which reproduces four of the principal features of the developmental process. The predictions of an FDO-based model are compared to experimental observations and different kinetic schemes are investigated. This reveals a powerful mechanism of wave pattern formation that captures the essence of the regulation of morphogenesis during early development.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.001
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.002
Threshold uncertainty score0.006

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0010.001
Open science0.0000.001
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0020.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.026
GPT teacher head0.327
Teacher spread0.301 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2001
Admission routes1
Has abstractyes

Explore more

Same venueTSpaceSame topicNonlinear Dynamics and Pattern FormationFrench-language works237,207