Home▸Molecular Biology▸Plasmid Instability: Mean-Field & Drift (2D)

Plasmid Segregational Instability — Mean-Field & Drift (2D)

Interactive 2D plasmid-instability simulator: a Wright-Fisher diffusion model of a producer/cheater bioreactor culture, driven by a mean-field ODE with an optional stochastic-drift term, visualized as a live colony grid, a phase-portrait you can drag, and a scrolling generation history.

Molecular Biology2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryMolecular Biology

RenderingCanvas 2D

DifficultyModerate

Target FPS60

ControlsDrag sliders for segregation loss rate, metabolic burden, selection pressure, effective population size and simulation speed; toggle stochastic drift noise on/off; drag directly on the phase-portrait canvas to set the producer fraction; reseed button restarts the run at 100% plasmid-bearing.

plasmid stabilitypopulation geneticsWright-Fisher modelbioreactorstochastic differential equationphase portraitfermentationsynthetic biology

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The same fermentation-stability problem as the 3D bioreactor, seen through a different lens: instead of tracking hundreds of individual cells, this version integrates the population's producer fraction F(t) as a continuous Wright–Fisher diffusion — a mean-field ODE for the deterministic push-and-pull between selection, burden and segregation loss, plus an optional stochastic drift term whose strength depends on effective population size. A live colony grid, a draggable phase portrait of the underlying dynamical system, and a scrolling generation history make the same burden/loss/selection tradeoffs visible from the population-genetics side rather than the individual-cell side.

⚙ Under the hood

A 2D diffusion-model counterpart to the 3D bioreactor: instead of hundreds of individually simulated cells, a Wright-Fisher stochastic differential equation tracks the producer fraction F(t) directly. A live colony grid, a draggable phase-portrait of the underlying dynamical system, and a scrolling generation history reveal the same burden/segregation-loss/selection tradeoffs from the population-genetics side, including how smaller effective population size makes drift-driven collapse more likely.

plasmid stabilitypopulation geneticsWright-Fisher modelbioreactorstochastic differential equationphase portraitfermentationsynthetic biology

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install