A novel deep learning technique for solving dynamical model of infertile women withPolycystic Ovarian Syndrome Using the combination of radial basis and log-sigmoidfunctions

The focus of this study is to introduce the novel process of deep neural network (DNN) for the numerical solution of dynamical model based on infertile women with polycystic ovarian syndrome (PCOS). The model consists of five classes such as, Susceptible Women (S), Infertile Women (I), Women under Treatment 1 ( Women with Treatment 2 (and Recovered Women (R). The dual hidden layer neural network procedure is applied using the combination of radial basis function and sigmoid function for the numerical approximations of the nonlinear model. The twenty neurons for radial basis function and forty neurons for sigmoid function are used. The acquired numerical results are validated through the comparison of the solutions. The optimization is implemented by employing a competent scale conjugate gradient procedure. The verification of the proposed numerical method is observed through the reference results, and the reduced absolute error around is obtained. The reference database is achieved using the Runge-Kutta method of order 4. The method is proved reliable when trained, tested and validated using the reference dataset that consists of proportions 72%, 14% and 14%. After using the DNN approach, results are validated and displayed through MSE, regression, fitness, error and comparison plots.

Authors

Institutions

Publication Details

Journal
Punjab University Journal of Mathematics
Published
2025-06-20
DOI
https://doi.org/10.52280/pujm.2024.56(11)04
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A novel deep learning technique for solving dynamical model of infertile women withPolycystic Ovarian Syndrome Using the combination of radial basis and log-sigmoidfunctions

Mansoor Khan, Shumaila Javeed, Mohsin Ali, Dumitru Baleanu et al.
Punjab University Journal of Mathematics
Model Reduction and Neural Networks
article

A novel deep learning technique for solving dynamical model of infertile women withPolycystic Ovarian Syndrome Using the combination of radial basis and log-sigmoidfunctions

Mansoor Khan, Shumaila Javeed, Mohsin Ali, Dumitru Baleanu, Ume Ayesha, Mustafa Baryam
article en

Abstract

The focus of this study is to introduce the novel process of deep neural network (DNN) for the numerical solution of dynamical model based on infertile women with polycystic ovarian syndrome (PCOS). The model consists of five classes such as, Susceptible Women (S), Infertile Women (I), Women under Treatment 1 ( Women with Treatment 2 (and Recovered Women (R). The dual hidden layer neural network procedure is applied using the combination of radial basis function and sigmoid function for the numerical approximations of the nonlinear model. The twenty neurons for radial basis function and forty neurons for sigmoid function are used. The acquired numerical results are validated through the comparison of the solutions. The optimization is implemented by employing a competent scale conjugate gradient procedure. The verification of the proposed numerical method is observed through the reference results, and the reduced absolute error around is obtained. The reference database is achieved using the Runge-Kutta method of order 4. The method is proved reliable when trained, tested and validated using the reference dataset that consists of proportions 72%, 14% and 14%. After using the DNN approach, results are validated and displayed through MSE, regression, fitness, error and comparison plots.

Punjab University Journal of Mathematics
COMSATS University Islamabad (PK), Biruni University (TR), Lebanese American University (LB)
Good health and well-being
Openalex Percentile: Top 84%
Model Reduction and Neural Networks
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A novel deep learning technique for solving dynamical model of infertile women withPolycystic Ovarian Syndrome Using the combination of radial basis and log-sigmoidfunctions — Mansoor Khan, Shumaila Javeed, et al. · Punjab University Journal of Mathematics (2025) | TGRS Research Map | TGRS