Adaptive therapy is a dynamic cancer treatment protocol that updates (or 'adapts') treatment
decisions in anticipation of evolving tumor dynamics. This broad term encompasses many …

Evolutionary game theory mathematically conceptualizes and analyzes biological
interactions where one's fitness not only depends on one's own traits, but also on the traits of …

Stackelberg evolutionary game (SEG) theory combines classical and evolutionary game
theory to frame interactions between a rational leader and evolving followers. In some of …

We present a game-theoretic model of a polymorphic cancer cell population where the
treatment-induced resistance is a quantitative evolving trait. When stabilization of the tumor …

Evolutionary game theory (EGT) is a branch of mathematics which considers populations of
individuals interacting with each other to receive pay-offs. An individual's pay-off is …

Nature exhibits rapid evolution in response to human activities. When using natural
resources for their own profit, humans should account for such responses. Stackelberg …

Prostate-specific antigen (PSA) is the most commonly used serum marker for prostate
cancer. It plays a role in cancer detection, treatment monitoring, and more recently, in …

The concept of invasion is useful across a broad range of contexts, spanning from the fine
scale landscape of cancer tumors up to the broader landscape of ecosystems. Invasion …

Mathematical modeling plays an important role in our understanding and targeting therapy
resistance mechanisms in cancer. The polymorphic Gompertzian model, analyzed …

Intratumour phenotypic heterogeneity is nowadays understood to play a critical role in
disease progression and treatment failure. Accordingly, there has been increasing interest in …