Editorial Special Section on Multiscale Cancer Modeling

Mathematical modeling in cancer nanomedicine: a review

“…While certain physicochemical properties of NPs may correlate with higher tumor deliverability in vitro or in vivo (e.g., size <100 nm, neutral charge, and rod-shape (Albanese et al 2012 ; Wilhelm et al 2016 )), an improved understanding of biological barriers faced by nanocarriers can provide NP design guidelines for optimized tumor delivery, and foster their clinical translatability. To this end, mathematical modeling has been an important tool in supporting cancer nanomedicine, and also for many other cancer research fields (Wang and Deisboeck 2014 ; Wang et al 2015 ; Wang and Maini 2017 ). For example, modeling has provided mechanistic understanding of phenomenological observations based on physical principles and helped establish important quantitative relationships.…”

AI in Medical Imaging Informatics: Current Challenges and Future Directions

“…Recent efforts towards in silico modeling focus on multi-compartment models for describing how subpopulations of various cell types proliferate and diffuse, while they are computationally efficient. Furthermore, multiscale approaches link in space and time the interactions at different biological levels, such as molecular, microscopic cellular and macroscopic tumor scale [ 215 ]. Multi-compartment approaches can reflect the macroscopic volume expansion while they reveal particular tumor aspects, such as the spatial distributions of cellular densities of different phenotypes taking into account tissue heterogeneity and anisotropy issues, as well as the chemical microenvironment with the available nutrients [ 216 ].…”

Multi-level agent-based simulations: Four design patterns

“…Thus, this pattern is particularly used in simulations of very complex systems such as biological systems, e.g. in many works on the multi-level modelling of tumour development [5,6,40,41] .…”