In initial value problems for ODEs with interval-valued parameters and/or initial values, it is
desirable in many applications to be able to determine a validated enclosure of all possible …

The global solver in the LINDO Application Programming Interface (LINDO API) finds
guaranteed global optima to nonconvex, nonlinear and integer mathematical models using the …

Characterization of liquid−liquid equilibrium (LLE) in systems that contain ionic liquids (ILs) is
important in evaluating ILs as candidates for replacing traditional extraction and separation …

Background Interleukin-1β (IL-1β) has been implicated in the progression of gastric
adenocarcinoma (GA); however, the molecular mechanisms of action of IL-1β in GA are poorly …

Circular RNAs (circRNAs) are implicated in a variety of cancers. However, the roles of
circRNAs in gastric cancer (GC) remain largely unknown. In the current study, circRNAs …

Background Increasing evidence has demonstrated that long non-coding RNAs (lncRNAs)
play essential roles in the occurrence and development of human cancers, including gastric …

A new approach is described for the deterministic global optimization of dynamic systems,
including optimal control problems. The method is based on interval analysis and Taylor …

A method is presented for deterministic global optimization in the estimation of parameters
in models of dynamic systems. The method can be implemented as an ε-global algorithm or, …

The two-point boundary value problem (TPBVP) occurs in a wide variety of problems in
engineering and science, including the modeling of chemical reactions, heat transfer, and …

Epidermal growth factor receptor (EGFR) is an essential regulator and biomarker of several
types of cancer. However, the association between its expression and prognosis in patients …