The Kneser property for abstract retarded functional differential equations with infinite delay.
The Language of Caring: Quantitating Medical Practice Patterns using Symbolic Dynamics
Real-world medical decisions rarely involve binary Ðsole condition present or absent- patterns of patient pathophysiology. Similarly, provider interventions are rarely unitary in nature: the clinician often undertakes multiple interventions simultaneously. Conventional approaches towards complex physiologic derangements and their associated management focus on the frequencies of joint appearances, treating the individual derangements of physiology...
The non-uniform spatial development of a micrometastasis.
The number of -matchings in almost every tree is a zero residue.
The onset of necrosis in a 3D cellular automaton model of EMT6 multi-cellular spheroids
A 3-dimensional (3D) extension to a previously reported scaled 2-dimensional Cellular Automaton (CA) model of avascular multi-cellular spheroid growth is presented and analysed for the EMT6/Ro cell line. The model outputs are found to compare favourably with reported experimentally obtained data for in vitro spheroids of the same cell line. Necrosis (unprogrammed central cell death) is observed to be delayed when compared with the experimental data. Furthermore, it is found that necrosis arises...
The optimal shape of a dendrite sealed at both ends
The p and the Peas: An Intuitive Modeling Approach to Hypothesis Testing
We propose a novel approach to introducing hypothesis testing into the biology curriculum. Instead of telling students the hypothesis and what kind of data to collect followed by a rigid recipe of testing the hypothesis with a given test statistic, we ask students to develop a hypothesis and a mathematical model that describes the null hypothesis. Simulation of the model under the null hypothesis allows students to compare their experimental data...
The pattern of genetic hitchhiking under recurrent mutation.
The periods of the Volterra-Lotka system.
The permanence and extinction of a discrete predator-prey system with time delay and feedback controls.
The permanence in a single species nonautonomous system with delays and feedback control.
The pharmacodynamics of antibiotic treatment.
The Phylogeny Graphs of Doubly Partial Orders
The competition graph of a doubly partial order is known to be an interval graph. The CCE graph and the niche graph of a doubly partial order are also known to be interval graphs if the graphs do not contain a cycle of length four and three as an induced subgraph, respectively. Phylogeny graphs are variant of competition graphs. The phylogeny graph P(D) of a digraph D is the (simple undirected) graph defined by V (P(D)) := V (D) and E(P(D)) := {xy | N+D (x) ∩ N+D(y) ¹ ⊘ } ⋃ {xy | (x,y) ∈ A(D)},...
The population dynamics of conflict and cooperation.
The potential distribution due to a dipole source in the fetal heart: A numerical model of the maternal abdomen.
The power-law formalism as a tool for modeling hormonal systems.
The prognosis of survivance in solid tumor patients based on optimal partitions of immunological parameters ranges.
The rate of satiation in a cooperative system
The resonance phenomenon in the reaction-diffusion systems.
The role of cell motility in metastatic cell dominance phenomenon: Analysis by a mathematical model.