The GSMM Camp is a weeklong workshop that builds interdisciplinary problem-solving skills for graduate and advanced undergraduate students. Participants work in teams on mathematically rich problems ...

Semi-discrete models are a particular class of hybrid dynamical systems that undergo continuous dynamics most of the time but repeatedly experience discrete changes at some given moments. In the life ...

Until recently, Markov models and analytical methods were fairly obscure mathematical techniques rarely applied outside of academic settings. The advent of functional safety standards, particularly ...

Using tumor growth modeling and informed neural networks as early predictive clinical endpoints. 2007 Continuous dispersion for invasive motility. 2009 Invasive growth with cell density and oxygen.

Mathematical models have become an integral part of cancer biology. They are useful tools for deriving a mechanistic understanding of dynamic processes in cancer. The somatic evolutionary process, ...

A mathematical model is an abstract model that uses mathematical language to describe the behaviour of a system. Mathematical models are used particularly in the natural sciences and engineering ...

Why do we need to understand the dynamics of the cell cycle? The cell cycle is a mechanism that controls and integrates the stages of DNA synthesis, mitosis, and cell division. This mechanism dictates ...

Abstract: Rubella, a viral infection preventable through vaccination, remains a public health concern despite the absence of recent outbreaks in the United States. The live attenuated rubella virus ...

In many real-world systems, such as fireflies flashing, Japanese tree frogs croaking, magnetic Janus particles, neurons firing, and in various engineered systems like drone swarms and wireless sensor ...