A review of the approaches to predict the ease of swallowing and post-swallow residues

•In vitro and in silico models to predict the ease of swallowing are discussed.•The relevant physiology, bolus and tissue properties are introduced.•The oral, pharyngeal and esophageal phases of swallowing are considered.•Different swallow motor control scenarios are discussed.•Limitations of existing models and future research opporunities are reviewed.