Results 31 to 40 of about 699 (108)

On the role of differential algebra in biological modeling [PDF]

, 2008
Extended abstract of an invited talk at Differential Algebra and related Computer Algebra (Catania, Italy, March 28th, 2008)International audienceDifferential algebra is an algebraic theory for studying systems of polynomial ordinary differential ...
Boulier, François
core   +3 more sources

A system of state-dependent delay differential equation modelling forest growth I: semiflow properties

, 2017
In this article we investigate the semiflow properties of a class of state-dependent delay differential equations which is motivated by some models describing the dynamics of the number of adult trees in forests.
Magal, Pierre, Zhang, Zhengyang
core   +2 more sources

Dominant Vertices in Regulatory Networks Dynamics

, 2007
Discrete-time regulatory networks are dynamical systems on directed graphs, with a structure inspired on natural systems of interacting units. There is a natural notion of determination amongst vertices, which we use to classify the nodes of the network,
Agaev, Albert, Barahona, Beatriz Luna, Caughman, Chung, Coutinho, Cros, Davies, de Jong, Durret, Edgardo Ugalde, Edwards, Glass, Haynes, Kauffman, Lima, Mestl, Mohar, Mohar, Pecora, Thieffry, Volchenkov   +22 more
core   +3 more sources

Replicator dynamics generalized for evolutionary matrix games under time constraints

bioRxiv
One of the central results of evolutionary matrix games is that a state corresponding to an evolutionarily stable strategy (ESS) is an asymptotically stable equilibrium point of the standard replicator dynamics.
Tamás Varga
semanticscholar   +1 more source

Average sex ratio and population maintenance cost

, 2015
The ratio of males to females in a population is a meaningful characteristic of sexual species. The reason for this biological property to be available to the observers of nature seems to be a question never asked.
Eduardo Garibaldi, Fathi A., Marcelo Sobottka   +2 more
core   +1 more source

Pathwise approximations to solving the filtering problem for the stochastic chemostat

bioRxiv
This paper concerns the inverse problem of characterising the state of a bioreactor from observations. In laboratory settings, the bioreactor is represented by a device called a chemostat.
J. A. F. Magalhães, M. Emzir, Francesco Corona   +2 more
semanticscholar   +1 more source

Limits and dynamics of randomly connected neuronal networks

, 2014
Networks of the brain are composed of a very large number of neurons connected through a random graph and interacting after random delays that both depend on the anatomical distance between cells.
Quininao, Cristobal, Touboul, Jonathan
core   +3 more sources

Limit cycles by FEM for a one - parameter dynamical system associated to the Luo - Rudy I model

, 2011
An one - parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended system.
Amuzescu, Bogdan, Bichir, Cătălin Liviu, Corlan, Alexandru Dan, Flonta, Maria-Luiza, Georgescu, Adelina, Nistor, Gheorghe, Popescu, Marin, Svab, Istvan   +7 more
core  

Rhythms of the nervous system: mathematical themes and variations [PDF]

, 2018
The nervous system displays a variety of rhythms in both waking and sleep. These rhythms have been closely associated with different behavioral and cognitive states, but it is still unknown how the nervous system makes use of these rhythms to perform ...
Kopell, Nancy
core  

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source