Here is the BIOKMODWEB site. It can be used for solving yourself compartmental models or to make use of the ICRP biokinetic models . It can be applied in internal dosimetry, bioassay evaluations, nuclear medicine, pharmacokinetic, and more. It have been developed using the Wolfram Languaje Mathematica, webMathematica
powered by Wolfram webMathematica
and Java.

BIOKMODWEB uses the Mathematica toolbox: BIOKMOD. It runs entirely within your web browser.

What things you can do with BIOKMOD?
It can be used to solve systems of differential equations, to fit coefficients, convolution, and more, with application for modeling Linear and Nonlinear Biokinetic Systems. Most of the ICRP biokinetic models are included and they can be applied in internal dosimetry and bioassay evaluations.
(i) The user can build and solve its own compartmental model (constant and variable coefficients can be used).
(ii) Some of the new OIR Modes (ICRP 130/134/137/141/151) are included. The Intake Retention Fractions (IRF), their analytical expressions (intake retention functions), the compartmental content, accumultaded disintegrations, TIAC and the graphic representations can be obtained. Acute, chronic (Constant), continuous (variable in the time) and multi-inputs, even random, intakes can be used. The default parameters can accepted or specific values can be given. They can be used for bioassay evaluations and for research and education purposes. The former ICRP30/66/78 models are also included.
(iii) An optimal design function is included. It can be used to establish the best moment for experimental sample or bioassay.
(vi) Fitting functions for non linear fitting.
v) A function for evaluating uncertainties analytically.


If you have Mathematica installed you can run BIOKMOD in the Mathematica environment. Previously you will need to install some Biokmod packages:>


If you have any comment send me an e-mail: guillermo2046(at)gmail.com.

Some papers have been published where BIOKMOD has been used (below are referenced some of them). For additional information visit: BIOKMOD.
M.A. López , J. G. Sánchez-León , C. Hernández , M. Moraleda , J.M. Rodríguez-Díaz , I. Sierra, S. Sierra, D. García. Improving the reliability of internal dosimetry for uranium workers: application of the ICRP/OIR uranium model to long-term occupational intakes. Radiation Measurements. June 2024. href=https://doi.org/10.1016/j.radmeas.2024.107200
J.G. Sánchez-León, M.A. López, M. Moraleda, J.M. Rodríguez-Díaz; "Bioassays in workers exposed to long time random intakes" Radiation and Applied Radiation and Isotopes (180) 2022. href="https://doi.org/10.1016/j.apradiso.2021.110057
Rodríguez-Díaz J. M. ; Sánchez-León J. G.; "Efficient parameter estimation in mulltiresponse models measuring radioactivity retention" Radiation and Environmental Biophysics 2019.https://doi.org/10.1007/s00411-019-00780-7
Lopez-Fidalgo J, Sánchez-León J. G. "Optimal bioassay time allocations for multiple accidental chronic intakes of radioactive particles". Stochastic Environmental Research and Risk Assessment. https://doi.org/10.1007/s00477-019-01668-0
J, Sánchez-León J. G; “Fitting bioassay data and performing uncertainty analysis with BIOKMOD" Health Physics. 92(1):64-72. 2007. ISSN/ISBN: 0017-9078
J, Sánchez-León J. G;. Rodríguez-Díaz J. M. Optimal design and mathematical model applied to establish bioassay programs": Radiation Protection Dosimetry. doi:10.1093/rpd/ncl499. 2007. ISSN/ISBN: ISSN 1742-3406
Lopez-Fidalgo J. Rodriguez-Díaz J.M.,J, Sánchez-León J. G; G., Santos-Martín M.T. Optimal designs for compartmental models with correlated observations"
Journal of Applied Statistic. 32, 2006 ISSN/ISBN: 0266-4763
J, Sánchez-León J. G; Biokmod: A Mathematica toolbox for modeling Biokinetic Systems". Mathematica in Education and Research: 10 (2) 2005. ISSN/ISBN: 1096-3324
J, Sánchez-León J. G; Lopez-Fidalgo J “Mathematical Techniques for Solving Analytically Large Compartmental Systems" Health Physics..: 85 (2): 2003. ISSN/ISBN: 0017-9078
Lopez-Fidalgo J; J, Sánchez-León J. G; Statistical Criteria to Establish Bioassay Programs. Health Physics. 89 (4). 2005. ISSN/ISBN: 0017-9078.