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. 2010 Sep 23:10:509.
doi: 10.1186/1471-2407-10-509.

Hyperbolastic modeling of tumor growth with a combined treatment of iodoacetate and dimethylsulphoxide

Wayne M Eby  1 , Mohammad A Tabatabai, Zoran Bursac
Affiliations

Hyperbolastic modeling of tumor growth with a combined treatment of iodoacetate and dimethylsulphoxide

Wayne M Eby et al. BMC Cancer. .

Abstract

Background: An understanding of growth dynamics of tumors is important in understanding progression of cancer and designing appropriate treatment strategies. We perform a comparative study of the hyperbolastic growth models with the Weibull and Gompertz models, which are prevalently used in the field of tumor growth.

Methods: The hyperbolastic growth models H1, H2, and H3 are applied to growth of solid Ehrlich carcinoma under several different treatments. These are compared with results from Gompertz and Weibull models for the combined treatment.

Results: The growth dynamics of the solid Ehrlich carcinoma with the combined treatment are studied using models H1, H2, and H3, and the models are highly accurate in representing the growth. The growth dynamics are also compared with the untreated tumor, the tumor treated with only iodoacetate, and the tumor treated with only dimethylsulfoxide, and the combined treatment.

Conclusions: The hyperbolastic models prove to be effective in representing and analyzing the growth dynamics of the solid Ehrlich carcinoma. These models are more precise than Gompertz and Weibull and show less error for this data set. The precision of H3 allows for its use in a comparative analysis of tumor growth rates between the various treatments.

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Figures

Figure 1
Figure 1
Growth of tumor biomass under combined IAA/DMSO treatment compared to H3 and Gompertz growth curve estimates.
Figure 2
Figure 2
Rate of growth of tumor biomass under combined IAA/DMSO treatment as measured by H3 and Gompertz growth curves.
Figure 3
Figure 3
Growth of tumor biomass for each treatment using H3 model.
Figure 4
Figure 4
Rate of growth for tumor biomass for each treatment using H3 model.
See this image and copyright information in PMC

References

    1. Tabatabai M, Williams DK, Bursac Z. Hyperbolastic Growth Models: Theory and Application. Theoretical Biology and Medical Modeling. 2005;2:1–13. doi: 10.1186/1742-4682-2-1. - DOI - PMC - PubMed
    1. Bursac Z, Tabatabai M, Williams DK. 2005 Proceedings of the American Statistical Association. Biometrics Section [CD-ROM], Alexandria, VA: American Statistical Association; 2006. Non-linear Hyperbolastic Growth Models and Applications in Cranofacial and Stem Cell Growth; pp. 190–197.
    1. Ahmadi H, Mottaghitalab M. Hyperbolastic models as a new powerful tool to describe broiler growth kinetics. Poult Sci. 2007;86:2461–2465. doi: 10.3382/ps.2007-00086. - DOI - PubMed
    1. Cabrales LEB, Aguilera AR, Jiménez RP, Jarque MV, Ciria HMC, Reyes JB, Mateus MAO, Palencia FS, Ávila MG. Mathematical modelling of tumor growth in mice following low-level direct electric current. Mathematics and Computers in Simulation. 2008;78:112–120. doi: 10.1016/j.matcom.2007.06.004. - DOI
    1. Lala PK. Age-specific changes in the proliferation of Ehrlich ascites tumor cells grown as solid tumors. Cancer Res. 1972;32:628–636. - PubMed

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