Approaches to embryonic neurodevelopment: from neural cell to neural tube formation through mathematical models
The development of the human central nervous system initiates in the early embryonic
period until long after delivery. It has been shown that several neurological and …
period until long after delivery. It has been shown that several neurological and …
Structured and decorated cospans from the viewpoint of double category theory
E Patterson - arXiv preprint arXiv:2304.00447, 2023 - arxiv.org
Structured and decorated cospans are broadly applicable frameworks for building
bicategories or double categories of open systems. We streamline and generalize these …
bicategories or double categories of open systems. We streamline and generalize these …
Towards a Unified Theory of Time-varying Data
What is a time-varying graph, or a time-varying topological space and more generally what
does it mean for a mathematical structure to vary over time? Here we introduce categories of …
does it mean for a mathematical structure to vary over time? Here we introduce categories of …
Several supplementary concepts for applied category-theoretical states over an extended Petri net using an example relating to genetic coding: Toward an abstract …
J Sawamura, S Morishita, J Ishigooka - Plos one, 2024 - journals.plos.org
Abstract algebraic concepts such as category are considered cornerstones on which logical
consistency relies in any sophisticated study of natural phenomena. However, to the best of …
consistency relies in any sophisticated study of natural phenomena. However, to the best of …
A Category of Genes
Y Wu - arXiv preprint arXiv:2311.08546, 2023 - arxiv.org
Understanding how genes interact and relate to each other is a fundamental question in
biology. However, current practices for describing these relationships, such as drawing …
biology. However, current practices for describing these relationships, such as drawing …
Double-categorical logic in theory and practice
E Patterson - Topos - epatters.org
Double-categorical logic in theory and practice Double-categorical logic in theory and practice
Second Virtual Workshop on Double Categories Evan Patterson Topos Institute 2024-10-29 …
Second Virtual Workshop on Double Categories Evan Patterson Topos Institute 2024-10-29 …