Litcius/Paper detail

A new investigation on fractionalized modeling of human liver

Sanjay Bhatter, Kamlesh Jangid, Shyamsunder Kumawat, Dumitru Bǎleanu, Sunıl Dutt Purohıt, D. L. Suthar

2024Scientific Reports20 citationsDOIOpen Access PDF

Abstract

This study focuses on improving the accuracy of assessing liver damage and early detection for improved treatment strategies. In this study, we examine the human liver using a modified Atangana-Baleanu fractional derivative based on the mathematical model to understand and predict the behavior of the human liver. The iteration method and fixed-point theory are used to investigate the presence of a unique solution in the new model. Furthermore, the homotopy analysis transform method, whose convergence is also examined, implements the mathematical model. Finally, numerical testing is performed to demonstrate the findings better. According to real clinical data comparison, the new fractional model outperforms the classical integer-order model with coherent temporal derivatives.

Topics & Concepts

Computer scienceInteger (computer science)Convergence (economics)Fractional calculusApplied mathematicsHuman liverOrder (exchange)Derivative (finance)Point (geometry)Mathematical optimizationAlgorithmMathematicsFinancial economicsProgramming languageEconomicsGeometryEnzymeEconomic growthBiochemistryChemistryFinanceFractional Differential Equations SolutionsField-Flow Fractionation TechniquesLiver Disease Diagnosis and Treatment