… 63): f i 0 ( x )= ∑ j=1 m−1 s j+1,i r j ( x ), where x =(x 1 ,…,x n ) and the polynomials r j are … l
−s k,l ) for every j≠k and set r j ( x )= ∏ k=1 m−1 b jk ( x ). We note that r j ( s j )=1 and r j ( x )=0 …

… As part of a research project on decision networks, Kramer and Laubenbacher, following
suggestions in Atkin’s papers, began developing a general connectivity theory of simplicial …

This book contains the stories of five mathematical journeys into new realms, told through
the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of …

… (4.1) and the number r is uniquely determined by f , we can make the following definition. …
Let NCF(n,r) denote the set of all nested canalizing functions in n variables with layer number r, …

… Author links open overlay panel Yara Skaf a b , Reinhard Laubenbacher a b … The lensed
space is frequently chosen to be Z = R , meaning the lens simply associates a value to each …

Iron is critical to the survival of almost all living organisms. However, inappropriately low or
high levels of iron are detrimental and contribute to a wide range of diseases. Recent …

Digital twins, customized simulation models pioneered in industry, are beginning to be deployed
in medicine and healthcare, with some major successes, for instance in cardiovascular …

When the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) pandemic emerged
in 2019, researchers rapidly recalibrated epidemiological computer models originally …

It is well known that significant metabolic change take place as cells are transformed from
normal to malignant. This review focuses on the use of different bioinformatics tools in cancer …

In order to understand how a cancer cell is functionally different from a normal cell it is
necessary to assess the complex network of pathways involving gene regulation, signaling, and …