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A Novel Radial Basis and Sigmoid Neural Network Combination to Solve the Human Immunodeficiency Virus System in Cancer Patients

Author

Listed:
  • Zulqurnain Sabir

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut 1107, Lebanon)

  • Sahar Dirani

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut 1107, Lebanon)

  • Sara Bou Saleh

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut 1107, Lebanon)

  • Mohamad Khaled Mabsout

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut 1107, Lebanon)

  • Adnène Arbi

    (Department of LIM (LR01ES13), Polytechnic School of Tunisia (EPT), University of Carthage, Tunis 1054, Tunisia)

Abstract

The purpose of this work is to design a novel process based on the deep neural network (DNN) process to solve the dynamical human immunodeficiency virus (HIV-1) infection system in cancer patients (HIV-1-ISCP). The dual hidden layer neural network structure using the combination of a radial basis and sigmoid function with twenty and forty neurons is presented for the solution of the nonlinear HIV-1-ISCP. The mathematical form of the model is divided into three classes named cancer population cells ( T ), healthy cells ( H ), and infected HIV (I) cells. The validity of the designed novel scheme is proven through the comparison of the results. The optimization is performed using a competent scale conjugate gradient procedure, the correctness of the proposed numerical approach is observed through the reference results, and negligible values of the absolute error are around 10 −3 to 10 −4 . The database numerical solutions are achieved from the Runge–Kutta numerical scheme, and are used further to reduce the mean square error by taking 72% of the data for training, while 14% of the data is taken for testing and substantiations. To authenticate the credibility of this novel procedure, graphical plots using different performances are derived.

Suggested Citation

  • Zulqurnain Sabir & Sahar Dirani & Sara Bou Saleh & Mohamad Khaled Mabsout & Adnène Arbi, 2024. "A Novel Radial Basis and Sigmoid Neural Network Combination to Solve the Human Immunodeficiency Virus System in Cancer Patients," Mathematics, MDPI, vol. 12(16), pages 1-13, August.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2490-:d:1454889
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