Application of the Black-Scholes equation in pharmaceutical engineering

Esteban Higuita

doi:10.1117/12.2222542

13 May 2016 Application of the Black-Scholes equation in pharmaceutical engineering

Esteban Higuita

Proceedings Volume 9863, Smart Biomedical and Physiological Sensor Technology XIII; 98630K (2016) https://doi.org/10.1117/12.2222542
Event: SPIE Commercial + Scientific Sensing and Imaging, 2016, Baltimore, MD, United States

Abstract

The Black-Scholes equation is applied in pharmaceutical engineering. The Black-Scholes equation is a classic equation in computational finance. In this work certain case of a modified Black-Scholes equation is analytically solved in the context of a problem of absorption of a drug by a tissue. The analytical solution is obtained using computer algebra specifically Maple. The solution is written as one series of associated Laguerre polynomials. In the procedure the Kummer M functions are used. The analytical solution is numerically tested and using experimental data is possible to estimate the pharmacological parameters of the tissue. We claim that our analytical solution will have important applications in pharmaceutical engineering.

Citation Download Citation

Esteban Higuita "Application of the Black-Scholes equation in pharmaceutical engineering", Proc. SPIE 9863, Smart Biomedical and Physiological Sensor Technology XIII, 98630K (13 May 2016); https://doi.org/10.1117/12.2222542

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