DEQ
ODEs 3, isomers, reverse
Reverses to find initial values in ODE's.
2026.Aug.19 17:22:30
t0 (<) t* (<) tF Times: from, to (integration) and report.
IV, initial F values (N values) Values at initial t (IVs).
Rates Rates (om mo, mp pm, op po).
Target F values (N values) Target function values at t*.
Integration method        Method of integration.
Tolerances Relative and absolute tolerances for integration.
Minimization method Python 'optimization minimization' method.
y-axis (a: automatic) Axis min and max bounds.
Show values Show graph coordinates.

Integrates the ODEs to tF, and reports the function values at t*.

Embedded ODE's are as in Figure.

This applies, from Python: for integration, 'scipy.integrate' solve_ivp; and, for optimization, minimize.

Draws a plot of the integrated functions.

ODEs

Computation structure: a PHP file (this page: 'P.ode3iso.php') calls (via 'action=...') an intermediate PHP file ('Ode3iso.php'), which (through $_POST) sends the problem data as command line arguments to a Python script. This last does the computing, and makes 'system' call(s) to 'gnuplot', for the final (temporary) web page.

Keywords: ODEs three; isomers; reverse kinetics; Python; gnuplot.

References: Plate: reverseODEsThreeIso

• Python minimize [in Optimization and root finding (scipy.optimize)].

• Gnuplot dashtype • HTML Color Codes • Python: f-string; unicode characters; f-string: A Complete Guide

• CISTI'2027, 22.ª Conferência Ibérica de Sistemas e Tecnologias de Informação (22.nd Iberian Conference on Information Systems and Technologies), Portugal, June 2027 (to be announced).

• 1819-08-13: Stokes, George Gabriel (†1903-02-01, 83 yrs.).

 
 
Valid HTML 5! IST http://web.tecnico.ulisboa.pt/mcasquilho/compute/reverse/ode3iso/P.ode3iso.php
Created: 2026-08-13 — Last modified: 2026-08-18