Symbolic Compartmental Model

1 Labeling data

Drop a CSV file here

columns time and labeling, or any two numeric columns

Time units follow whatever unit is used in the input data file — e.g. if the time column is in minutes, all time-valued outputs (mean age, residence time, etc.) are in minutes, and turnover/growth rates are in 1/min.

2 Model & fitting options

Number of states

Growth rate (µ)

strong mass balance

Labeling details

Labeling step duration (T)

pulse (T=0)washout (T=∞)

fractional labeling data (between 0 and 1) labeling data normalized to initial time point: f(0) = 1

⚠ Cannot verify that the data is normalized: no measurement at t = 0.

Free parameters

Symbols optimised during fitting. Use these names verbatim in the matrix cells below.

Symbol	Lower bound	Upper bound

Contributed turnovers

M[i, j] is the transfer rate from state j into state i. Diagonal entries must be ≤ 0, off-diagonal entries ≥ 0, and each row must sum to ≤ 0. Cells accept numbers, parameter symbols, or expressions (e.g. -k1, 1 - k1 - k2).

Observed pool weights

Fractional contribution of each state to the observable signal; must sum to 1.

⚠ Pool weights do not sum to 1.

Model graph

Optimiser options

basin-hopping (global search)

niter i

temperature i

fraction i

seed (optional) i

niter_success (optional) i

tol (local minimiser)

maxiter (local minimiser)

use_precompiled

3 Fit

Labeling curve

log scale trapezoid integration

Trapezoid estimate

#	t interval	f interval	area	% of total

Fit results

Parameter	Mean	95% CI

Contributed turnovers

Pool weights

Log

Symbolic Compartmental Model — Fit