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 ...

Abstract: Early detection and treatment are key components in improving patient survival rates in cases of soft tissue cancers. In this talk, we present a linear elasticity model that describes the ...

Predicting and controlling disease outbreaks would be easier and more reliable with the wider application of mathematical modelling, according to a new study. Predicting and controlling disease ...

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 ...

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

Medicine makers need to get better at math. Improved mathematical modeling would accelerate the move toward automated processes, cut production times, and reduce costs. Researchers Francesco Destro, ...

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 ...