Results 101 to 110 of about 4,707,750 (299)
Sums of class numbers and mixed mock modular forms
, 2017 In this talk, we discuss Hurwitz class numbers of integral binary quadratic forms of negative discriminant. The generating function for these is a certain modular object now known as a mock modular form and sums of these turn out to be coefficients of ...
Kane, BR
core
A Class of the Generalized Ramanujan Tau Numbers and Their Associated Partition Functions
AxiomsIn this paper, the authors derive some believed-to-be new recursion and explicit formulas for the generalized Ramanujan numbers τs(n)(s∈N∪{−1}), where, as usual, N is the set of positive integers.
Aleksandar Petojević +2 more
doaj +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
On the number of congruence classes of paths
Discrete Mathematics, 2012 Let $P_n$ denote the undirected path of length $n-1$. The cardinality of the set of congruence classes induced by the graph homomorphisms from $P_n$ onto $P_k$ is determined. This settles an open problem of Michels and Knauer (Disc. Math., 309\ (2009)\ 5352-5359). Our result is based on a new proven formula of the number of homomorphisms between paths.
Lin, Zhicong, Zeng, Jiang
openaire +3 more sources
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
FEBS Letters, EarlyView.CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source
Report of the secretary of the Class of 1869 of Harvard College.
, 1894 Mode of access ...
Harvard College (1780- ). Class of 1869.
core
On the Estimation of the Number of Classes in a Population
The Annals of Mathematical Statistics, 1949 This paper deals with the following problem: Suppose a population of known size $N$ is subdivided into an unknown number of mutually exclusive classes. It is assumed that the class in which an element is contained may be determined, but that the classes are not ordered. Let us draw a random sample of $n$ elements without replacement from the population.
openaire +2 more sources
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source