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A computational probabilistic procedure to quantify the time of breast cancer recurrence after chemotherapy administration

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  • Burgos, Clara
  • Cortés, Juan Carlos
  • Díez-Domingo, Sergio.
  • López-Navarro, Elena
  • Villanueva-Tarazona, Jose
  • Villanueva, Rafael Jacinto

Abstract

We propose a random linear differential equation with jumps to model the dynamics of breast tumor growth using real patients’ data. The model considers the effect of chemotherapy administration and tumor resection. Also, the inherent randomness of the data and the model are taken into account.

Suggested Citation

  • Burgos, Clara & Cortés, Juan Carlos & Díez-Domingo, Sergio. & López-Navarro, Elena & Villanueva-Tarazona, Jose & Villanueva, Rafael Jacinto, 2024. "A computational probabilistic procedure to quantify the time of breast cancer recurrence after chemotherapy administration," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010981
    DOI: 10.1016/j.chaos.2024.115546
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    References listed on IDEAS

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    1. Gurcan, Fuat & Kartal, Senol & Ozturk, Ilhan & Bozkurt, Fatma, 2014. "Stability and bifurcation analysis of a mathematical model for tumor–immune interaction with piecewise constant arguments of delay," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 169-179.
    2. Burgos, C. & Cortés, J.-C. & Debbouche, A. & Villafuerte, L. & Villanueva, R.-J., 2019. "Random fractional generalized Airy differential equations: A probabilistic analysis using mean square calculus," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 15-29.
    3. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
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