Dynamics of annual influenza A epidemics with immuno-selection.

abstract：:Continuous control using internal models appears to be quite straightforward explaining human motor control. However, it demands both, a high computational effort and a high model preciseness as the whole trajectory needs to be converted. Intermittent control shows great promise for avoiding these drawbacks of continu...

journal_title：Journal of mathematical biology

authors： Brändle S,Schmitt S,Müller MA

更新日期：2020-03-01 00:00:00

abstract：:A sexually-transmitted disease model for two strains of pathogen in a one-sex, heterogeneously-mixing population was proposed by Li et al. in (J Math Biol 10:1037-1052, 1986). The sufficient and necessary conditions for coexistence and the sufficient conditions for stability of the boundary equilibria were provided. T...

journal_title：Journal of mathematical biology

authors： Jiang J,Chai C

更新日期：2008-03-01 00:00:00

abstract：:The early development of solid tumours has been extensively studied, both experimentally via the multicellular spheroid assay, and theoretically using mathematical modelling. The vast majority of previous models apply specifically to multicell spheroids, which have a characteristic structure of a proliferating rim and...

journal_title：Journal of mathematical biology

authors： Sherratt JA,Chaplain MA

更新日期：2001-10-01 00:00:00

abstract：:The most commonly used models for analysing local dependencies in DNA sequences are (high-order) Markov chains. Incorporating knowledge relative to the possible grouping of the nucleotides enables to define dedicated sub-classes of Markov chains. The problem of formulating lumpability hypotheses for a Markov chain is ...

journal_title：Journal of mathematical biology

authors： Guédon Y,d'Aubenton-Carafa Y,Thermes C

更新日期：2006-03-01 00:00:00

abstract：:We prove the global asymptotic stability of a well-known delayed negative-feedback model of testosterone dynamics, which has been proposed as a model of oscillatory behavior. We establish stability (and hence the impossibility of oscillations) even in the presence of delays of arbitrary length. ...

journal_title：Journal of mathematical biology

authors： Enciso G,Sontag ED

更新日期：2004-12-01 00:00:00

abstract：:We analyze an ant navigation model based on Weber's law, where the ants move across a pheromone landscape sensing the area using two antennae. The key parameter of the model is the angle [Formula: see text] representing the span of the ant's sensing area. We show that when [Formula: see text] ants are able to follow (...

journal_title：Journal of mathematical biology

authors： Amorim P,Goudon T,Peruani F

更新日期：2019-03-01 00:00:00

abstract：:We use a scaling procedure based on averaging Poisson distributed random variables to derive population level models from local models of interactions between individuals. The procedure is suggested by using the idea of hydrodynamic limits to derive reaction-diffusion models for population interactions from interactin...

journal_title：Journal of mathematical biology

authors： Cantrell RS,Cosner C

更新日期：2004-02-01 00:00:00

abstract：:A central issue in life history theory is how organisms trade off current and future reproduction. A variety of organisms exhibit intermittent breeding, meaning sexually mature adults will skip breeding opportunities between reproduction attempts. It's thought that intermittent breeding occurs when reproduction incurs...

journal_title：Journal of mathematical biology

authors： Shaw AK,Levin SA

更新日期：2013-03-01 00:00:00

abstract：:We compare and contrast the long-time dynamical properties of two individual-based models of biological coevolution. Selection occurs via multispecies, stochastic population dynamics with reproduction probabilities that depend nonlinearly on the population densities of all species resident in the community. New specie...

journal_title：Journal of mathematical biology

authors： Rikvold PA

更新日期：2007-11-01 00:00:00

abstract：:Computer simulations of biomolecules such as molecular dynamics simulations are limited by the time scale of conformational rearrangements. Several sampling techniques are available to search the multi-minima free energy landscape but most efficient, time-dependent methods do generally not produce a canonical ensemble...

journal_title：Journal of mathematical biology

authors： Curuksu J

更新日期：2012-05-01 00:00:00

abstract：:In this paper we consider the phenomenon of backward bifurcation in epidemic modelling illustrated by an extended model for Bovine Respiratory Syncytial Virus (BRSV) amongst cattle. In its simplest form, backward bifurcation in epidemic models usually implies the existence of two subcritical endemic equilibria for R(0...

journal_title：Journal of mathematical biology

authors： Greenhalgh D,Griffiths M

更新日期：2009-07-01 00:00:00

abstract：:Recent research has shown that motile cells can adapt their mode of propulsion depending on the environment in which they find themselves. One mode is swimming by blebbing or other shape changes, and in this paper we analyze a class of models for movement of cells by blebbing and of nano-robots in a viscous fluid at l...

journal_title：Journal of mathematical biology

authors： Wang Q,Othmer HG

更新日期：2018-06-01 00:00:00

abstract：:Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin-like stochastic model. The effects of transcriptional fluctuations in protein synthesis are probed by coupling transcription and translation by an amplificative interaction. In the presence of repression a new term cont...

journal_title：Journal of mathematical biology

authors： Innocentini GC,Hornos JE

更新日期：2007-09-01 00:00:00

abstract：:A central question in the study of the evolution of dispersal is what kind of dispersal strategies are evolutionarily stable. Hastings (Theor Pop Biol 24:244-251, 1983) showed that among unconditional dispersal strategies in a spatially heterogeneous but temporally constant environment, the dispersal strategy with no ...

journal_title：Journal of mathematical biology

authors： Cantrell RS,Cosner C,Lou Y

更新日期：2012-11-01 00:00:00

abstract：:This paper is concerned with gene survival in a population which may increase without density dependence according to a generalization of the Moran model for haploid individuals. A selective advantage to one allele and the possibility of differential reproductive rates are allowed. Simple conditions are given for ulti...

journal_title：Journal of mathematical biology

authors： Daley DJ,Hall P,Heyde CC

更新日期：1982-01-01 00:00:00

abstract：:This paper aims at constructing a general mathematical frame for the equilibrium theory of open or closed biomembranes. Based on the generalized potential functional, the equilibrium differential equation for open biomembrane (with free edge) or closed one (without boundary) is derived. The boundary conditions for ope...

journal_title：Journal of mathematical biology

authors： Yin Y,Yin J,Ni D

更新日期：2005-10-01 00:00:00

abstract：:Translocations are widely used to reintroduce threatened species to areas where they have disappeared. A continuum multi-species model framework describing dispersal and settling of translocated animals is developed. A variety of different dispersal and settling mechanisms, which may depend on local population density...

journal_title：Journal of mathematical biology

authors： Trewenack AJ,Landman KA,Bell BD

更新日期：2007-10-01 00:00:00

abstract：:The time evolution of slowly evolving discrete dynamical systems xi + 1 = T(ri, xi), defined on an interval [0, L], where a parameter ri changes slowly with respect to i is considered. For certain transformations T, once ri reaches a critical value the system faces a non-zero probability of extinction because some xj ...

journal_title：Journal of mathematical biology

authors： Lasota A,Mackey MC

更新日期：1980-12-01 00:00:00

abstract：:A formula is obtained for the probability that two genes at a single locus, sampled at random from a population at time t, are of particular types. The model assumed is a diffusion approximation to a neutral Wright-Fisher model in which mutation is general and not necessarily symmetric. An example is given of a popula...

journal_title：Journal of mathematical biology

authors： O'Brien P

更新日期：1982-01-01 00:00:00

abstract：:Spontaneous pattern formation may arise in biological systems as primary and secondary bifurcations to nonlinear parabolic partial differential equations describing chemical reaction-diffusion systems. Bipolarity in mitosis and cleavage planes in cytokinesis may be related to this formation of prepatterns. Three dimen...

journal_title：Journal of mathematical biology

authors： Hunding A

更新日期：1984-01-01 00:00:00

abstract：:We reconsider the deterministic haploid mutation-selection equation with two types. This is an ordinary differential equation that describes the type distribution (forward in time) in a population of infinite size. This paper establishes ancestral (random) structures inherent in this deterministic model. In a first st...

journal_title：Journal of mathematical biology

authors： Baake E,Cordero F,Hummel S

更新日期：2018-09-01 00:00:00

abstract：:In this paper we study the cyclic gene model with repression considered by H. T. Banks and J. M. Mahaffy. Roughly, the model describes a biochemical feedback loop consisting of an integer number G of single gene reaction sequences in series. The model leads to a system of functional differential equations. We show tha...

journal_title：Journal of mathematical biology

authors： Smith H

更新日期：1987-01-01 00:00:00

abstract：:The approach to steady-state size distribution is studied for a growing population of cells. The model incorporates cell growth at a linear rate and division into two equal daughters after a random time composed of an exponentially distributed phase and a constant deterministic phase. ...

journal_title：Journal of mathematical biology

authors： Hannsgen KB,Tyson JJ

更新日期：1985-01-01 00:00:00

abstract：:In the root elongation zone of a plant, the hormone auxin moves in a polar manner due to active transport facilitated by spatially distributed influx and efflux carriers present on the cell membranes. To understand how the cell-scale active transport and passive diffusion combine to produce the effective tissue-scale ...

journal_title：Journal of mathematical biology

authors： Band LR,King JR

更新日期：2012-10-01 00:00:00

abstract：:Recent research indicates that viruses are much more prevalent in aquatic environments than previously imagined. We derive a model of competition between two populations of bacteria for a single limiting nutrient in a chemostat where a virus is present. It is assumed that the virus can only infect one of the populatio...

journal_title：Journal of mathematical biology

authors： Northcott K,Imran M,Wolkowicz GS

更新日期：2012-05-01 00:00:00

abstract：:For dynamical systems arising from chemical reaction networks, persistence is the property that each species concentration remains positively bounded away from zero, as long as species concentrations were all positive in the beginning. We describe two graphical procedures for simplifying reaction networks without brea...

journal_title：Journal of mathematical biology

authors： Marcondes de Freitas M,Feliu E,Wiuf C

更新日期：2017-03-01 00:00:00

abstract：:Oligomers of fixed length, k, commonly known as k-mers, are often used as fundamental elements in the description of DNA sequence features of diverse biological function, or as intermediate elements in the constuction of more complex descriptors of sequence features such as position weight matrices. k-mers are very us...

journal_title：Journal of mathematical biology

authors： Ghandi M,Mohammad-Noori M,Beer MA

更新日期：2014-08-01 00:00:00

abstract：:A mathematical model for transport across the blood-retina barrier and diffusion into the vitreous body of the human eye is formulated. The eye is modeled as a sphere, the surface of which represents the blood-retina barrier. The equations of the model are solved analytically, using an expansion in spherical harmonics...

journal_title：Journal of mathematical biology

authors： Dalgaard P

更新日期：1995-01-01 00:00:00

abstract：:We generalize the Dogterom-Leibler model for microtubule dynamics (Dogterom and Leibler in Phys Rev Lett 70(9):1347-1350, 1993) to the case where the rates of elongation as well as the lifetimes of the elongating shortening phases are a function of GTP-tubulin concentration. We analyze also the effect of nucleation ra...

journal_title：Journal of mathematical biology

authors： Yarahmadian S,Barker B,Zumbrun K,Shaw SL

更新日期：2011-09-01 00:00:00

abstract：:The S leads to I leads to R epidemic model of K. Dietz with annual oscillation in the contact rate is shown to have multiple stable subharmonic solutions of different integral year periods. ...

journal_title：Journal of mathematical biology

authors： Smith HL

更新日期：1983-01-01 00:00:00