The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

New research has shed light on the complex interactions of stem cell function and molecular diffusion in neural tissue, which may explain many phenomena from stem cell differentiation to the formation ...

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 ...

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

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 ...

"What's the difference between mathematical optimization and machine learning?" This is a question that — as the CEO of a mathematical optimization software company — I get asked all the time.