Αποτελέσματα Αναζήτησης
17 Ιουλ 2019 · This chapter focuses on dynamical behavior of lattice models arising in the biological sciences, in particular, attractors for such systems. Three types of lattice dynamical systems are investigated; they are lattice reaction-diffusion systems, Hopfield neural lattice systems, and neural field lattice systems. For each system the existence of a ...
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).
1 Ιαν 1983 · Rashevsky's treatment of general binary relations between sets of biological elements is extended using the novel mathematical concept of lattice-valued relation (l.v.r.). This yields a quantitative measure of the strength of the relations between components of a biological organism, and some illustrative examples are given.
Rashevsky's treatment of general binary relations between sets of biological elements is extended using the novel mathematical concept of lattice-valued relation (l.v.r.). This yields a quantitative measure of the strength of the relations between components of a biological organism, and some illustrative examples are given.
27 Ιουλ 2020 · In this work, we focus on equivalence criteria at the population level to compare on- and off-lattice models. In particular, we define prototypic off- and on-lattice models of polar and apolar alignment, and show how to obtain an on-lattice from an off-lattice model of velocity alignment.
1 Απρ 2008 · Here, we propose BioLattice, a mathematical framework based on concept lattice analysis to organize traditional clusters and associated annotations into a lattice of concepts for better biological interpretation of microarray gene expression data.
10 Αυγ 2018 · Determining the spatial distribution of cells within a porous tissue scaffold, and the nature of their local biomechano-chemical environment, is a key challenge that mathematical modelling can address (Thevenot et al., 2008; Melchels et al., 2011).
