MOI Titration Curve: Poisson Transduction Statistics (2D)

Gene therapy delivers a corrective gene using engineered viral vectors (AAV, lentivirus and similar), and the dose is planned in terms of multiplicity of infection — the average number of vector particles applied per target cell. Because particles land on cells essentially at random, the actual number of vector copies any single cell receives follows Poisson statistics, not a uniform "one particle per cell" split. This 2D simulator skips the cell-by-cell scene entirely and works with the statistics directly: it Monte-Carlo samples a fresh population of cells at your chosen MOI, plots the resulting copy-count histogram against the closed-form Poisson PMF, and — every time you draw a new dose — adds a real measured point to a titration (dose-response) curve of transduced fraction versus MOI, the same analysis wet labs run with flow cytometry to confirm a vector's functional titer.