Abstract Three-dimensional (3D) cell culture has tremendous advantages to closely mimic
the in vivo architecture and microenvironment of healthy tissue and organs, as well as of …

Purpose: To give a state-of-the-art overview on the promise of three-dimensional (3-D)
culture systems for anticancer drug development, with particular emphasis on multicellular …

Although used in academic research for several decades, 3D culture models have long
been regarded expensive, cumbersome and unnecessary in drug development processes …

Multicellular tumor spheroids (MCTS) are used as organotypic models of normal and solid
tumor tissue. Traditional techniques for generating MCTS, such as growth on nonadherent …

Tumor growth curves are classically modeled by means of ordinary differential equations. In
analyzing the Gompertz model several studies have reported a striking correlation between …

The growth of tumour cells as three‐dimensional multicellular spheroids in vitro has led to
important insights in tumour biology, since properties of the in vivo‐tumour such as …

The desire to understand tumor complexity has given rise to mathematical models to
describe the tumor microenvironment. We present a new mathematical model for avascular …

Today, in silico studies and trial simulations already complement experimental approaches
in pharmaceutical R&D and have become indispensable tools for decision making and …

In vitro characterization of tumor cell biology or of potential anticancer drugs is usually
performed using tumor cell lines cultured as a monolayer. However, it has been previously …

Models of tumor growth and treatment based on one or two ordinary differential equations
are heavily used in practice because they are simple but can often still capture the essence …