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, ...

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 modeling helps researchers to understand how enzymes in the body work to ensure normal functioning. The models also can show how genetic mutations alter the enzymes' behavior in ways that ...

Human cancers are thought to be sustained in their growth by a pathologic counterpart of normal adult stem cells: cancer stem cells. This concept was first developed in human myeloid leukemias and is ...

Abstract: Sea-level rise is a major driver of coastal risk, yet estimates of future sea levels and coastal damages depend on a complex modeling chain with substantial uncertainty. In this talk, I ...

Historically, mathematical models in ecology have been used largely to provide qualitative explanations for patterns in nature. A classic example of this approach was the effort to use competition ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or continuous, deterministic or ...