Computational Mathematical Model Based on Lyapunov Function for the Hormonal Storage Control

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Vanessa Henriques Borges
Ivail Muniz Junior
Carlos Antonio de Moura
Dilson Silva
Celia Martins Cortez
Maria Clicia Stelling de Castro


Computational mathematical models have shown promise in the biological mechanism's reproduction. This work presents a computational mathematical model of the hormonal storage control applied to an endocrine cell. The model is based on a system of differential equations representing the internal cell dynamics and governed by the Lyapunov control function. Among the stages of these dynamics, we analyze the storage and degradation, which occur within some endocrine cells. The model’s evaluation considers, as an example, the synthesis–storage-release regulation of catecholamine in the adrenal medulla. Seven experiments, varying the input parameters, were performed to validate and evaluate the model. Different behaviors could be observed according to the numerical data used for future research and scientific contributions, besides confirming that Lyapunov control function is feasible to govern the cell dynamics.


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How to Cite
Henriques Borges, V. ., Muniz Junior, I., de Moura, C. A., Silva, D. ., Martins Cortez, C., & Stelling de Castro, M. C. (2020). Computational Mathematical Model Based on Lyapunov Function for the Hormonal Storage Control. International Journal for Innovation Education and Research, 8(11), 375–391.
Author Biographies

Vanessa Henriques Borges, State University of Rio de Janeiro

Master in Computational Sciences

Ivail Muniz Junior, Colégio Pedro II


Carlos Antonio de Moura, State University of Rio de Janeiro

Full Professor, Computational Sciences Program

Dilson Silva, State University of Rio de Janeiro

Computational Sciences Program

Celia Martins Cortez, State University of Rio de Janeiro

Full Professor, Computational Sciences Program

Maria Clicia Stelling de Castro, State University of Rio de Janeiro

Full Professor, Computational Sciences Program


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