TABLE 1.

Overview of recent mathematical modeling to study nanoparticle delivery and efficacy in tumors.

Nanotherapy Focus	References
Biodistribution/physiological pharmacokinetics	Li et al., 2010, 2012; Li and Reineke, 2011; Dogra et al., 2020a
Transport in avascular tumors	Gao et al., 2013; Curtis et al., 2016a
Transport in irregularly vascularized tumors	van de Ven et al., 2013; Wu et al., 2014; Curtis et al., 2016a; Miller and Frieboes, 2019a, b
Transport based on nanoparticle physical characteristics	Decuzzi and Ferrari, 2006; Decuzzi et al., 2009; Godin et al., 2010b
Binding to tumor vasculature	Frieboes et al., 2013; Curtis et al., 2015; Chamseddine et al., 2018, 2020;
Interactions with macrophages	Leonard et al., 2016, 2017, 2020; Mahlbacher et al., 2018
Intracellular pharmacokinetics	Li et al., 2013; Miller and Frieboes, 2019b
For tumor detection	Reichel et al., 2015
For hyperthermia applications	Kaddi et al., 2013
For drug delivery	van de Ven et al., 2012; Li et al., 2013; Curtis et al., 2015, 2016a,b; Leonard et al., 2016, 2017, 2020; Chamseddine et al., 2018, 2020; Miller and Frieboes, 2019a, b;