A stochastic reaction scheme for drug/metabolite interaction

JOURNAL OF THEORETICAL BIOLOGY

卷:259

Article

Di Patti, F.^1,2,3  Fanelli, D.^2,3 

[1] CSDC Ctr Interdipartimentale Studio Dinam Comples, I-50019 Sesto Fiorentino, Italy

[2] Univ Florence, Dipartimento Energet, I-50121 Florence, Italy

[3] Ist Nazl Fis Nucl, Sez Firenze, Florence, Italy

关键词: Stochastic noise;    Finite-size effects;    Non-linear dynamics;   

DOI  :  10.1016/j.jtbi.2009.03.031

来源: Elsevier

【 摘 要 】

We present a simplified stochastic model to investigate the mechanisms of action of tramadol, a centrally acting analgesic, used for treating pain. The model accounts for the process of metabolization through the cytochrome CYP2D6 and the interactions between molecules and target receptors. The proposed formulation is stochastic in nature and allows to speculate on the role of finite-size fluctuations. Analytically, the master equation, governing the process under scrutiny, is derived and studied in the mean-field limit. The analysis of the associated asymptotic behavior proves interesting for its potential medical implications. The analysis of fluctuations is carried on via the van Kampen expansion. Numerical simulations are also performed to confirm the adequacy of our theoretical prediction. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

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