Optimal control of TGF-β to prevent formation of pulmonary fibrosis

ABSTRACT: In this paper, three optimal control problems are proposed to prevent forming lung fibrosis while control is transforming growth factor-β (TGF-β) in the myofibroblast diffusion process. Two diffusion equations for fibroblast and myofibroblast are mathematically formulated as the system’s dynamic, while different optimal control model problems are proposed to find the optimal TGF-β. During solving the first optimal control problem with the regulator objection function, it is understood that the control function gets unexpected negative values. Thus, in the second optimal control problem, for the control function, the non-negative constraint is imposed. This problem is solved successfully using the extended canonical Hamiltonian equations with no flux boundary conditions. Pontryagin’s minimu

SUBMITTER: Bahram Yazdroudi F 

PROVIDER: S-EPMC9803315 | biostudies-literature | 2022 Jan

REPOSITORIES: biostudies-literature