Results 21 to 30 of about 7,596,236 (250)
Only up to isomorphism? Category Theory and the Foundations of Mathematics [PDF]
Does category theory provide a foundation for mathematics that is autonomous with respect to the orthodox foundation in a set theory such as ZFC? We distinguish three types of autonomy: logical, conceptual, and justificatory.
Pettigrew, Richard, Linnebo, Øystein
core
How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
Categories without structures [PDF]
The popular view according to which Category theory provides a support for Mathematical Structuralism is erroneous. Category-theoretic foundations of mathematics require a different philosophy of mathematics.
Rodin, Andrei
core
Pathways and pitfalls: a qualitative study of student experiences in biomedical science education
Biomedical science students from underrepresented backgrounds face barriers including financial strain, disrupted laboratory access and cultural exclusion. Peer networks provide vital support when institutional systems are difficult to navigate. To create inclusive learning environments and achieve academic success, educators should blend active, hands‐
Olivia J. Russell +8 more
wiley +1 more source
Protocol for quantifying miRNA trafficking across the endosomal membrane
An in vitro protocol measures miRNA uptake into endosomes isolated from mammalian cell extracts, which are free of subcellular contaminants. Performed at 37 °C in the presence of ATP, it ensures the import of single‐stranded miRNA into the endosomal lumen.
Syamantak Ghosh +2 more
wiley +1 more source
Higher operads, higher categories [PDF]
Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical ...
Leinster, T., Leinster, Tom
core
Heterotropic regulation and negative homotropic cooperativity
We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea +5 more
wiley +1 more source
microRNA‐7‐5p and α‐Synuclein SAA Predict Parkinson's Disease Phenoconversion
ABSTRACT Objective Corroborate blood neuron‐derived extracellular vesicle (NDEV) alpha‐synuclein (αSyn), the CSF αSyn seed amplification assay (αSyn‐SAA), and blood microRNA‐7‐5p (miR‐7‐5p) as markers for Parkinson's disease (PD) phenoconversion and determine if combining these markers would help select subjects who would be more likely to phenoconvert.
Shayan Zadegan +4 more
wiley +1 more source
Does Homotopy Type Theory Provide a Foundation for Mathematics?
Homotopy Type Theory (HoTT) is a putative newfoundation for mathematics grounded in constructive intensional type theory that offers an alternative to the foundations provided by ZFC set theory and category theory.
Ladyman, James, Presnell, Stuart
core +1 more source
Category theory : definitions and examples [PDF]
Category theory was invented as an abstract language for describing certain structures and constructions which repeatedly occur in many branches of mathematics, such as topology, algebra, and logic.
Srinivas, Yellamraju V.
core +1 more source

