# Showing papers in "Bulletin of Mathematical Biology in 1999"

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TL;DR: It is found numerically that frequency-doubling is realized for a finite range of exponential growth rate and shown that in one dimension domain growth may be a mechanism for increased robustness of pattern formation.

349 citations

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TL;DR: The calculated true intraocular pressure and modulus of elasticity were found to agree with published experimental results and may therefore be used to improve results from applanation tonometry and to estimate the mechanical property of the cornea in vivo.

315 citations

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TL;DR: Using the Turing system as a metaphor for activator—inhibitor models it is concluded that such a mechanism, with the aforementioned modifications, may play a rôle in fish patterning.

236 citations

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TL;DR: A comprehensive analysis of peristaltic transport resulting from symmetric and asymmetric contractions is presented for various displacement waves on the channel walls and provides information on the flow field and possible trajectories by which an embryo may be transported before implantation at the uterine wall.

230 citations

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TL;DR: This work investigates the dynamical behaviour of a simple plankton population model, which explicitly simulates the concentrations of nutrient, phytoplankton and zooplankon in the oceanic mixed layer, and uses a linear function, to represent alternative ecological assumptions.

228 citations

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TL;DR: In this article, the analytical behavior at (0, 0) for a common ratio-dependent model was studied and it was shown that this equilibrium can be either a saddle point or an attractor for certain trajectories.

220 citations

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TL;DR: The results point to the role of self-modulation of the InsP3 signal by 3-kinase as a possible source for complex temporal patterns in Ca2+ signaling.

117 citations

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TL;DR: An age-structured epidemiologic—demographic model with vaccination is developed for varicella and zoster and it is found that zoster incidence increases in the first three decades after initiation of a vaccination program, but then it decreases, so the simulations validate the second danger of more zoster cases.

113 citations

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TL;DR: A generalization of secondary structures incorporating ‘non-nested’ pseudo-knots are proposed, which are called bi-secondary structures, and measures for the complexity of more general contact structures based on their graph-theoretical properties are discussed.

113 citations

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TL;DR: It is shown that it is impossible to distinguish this assumption from a competing assumption based on preexisting differences among individuals, and proposed experiments to help discriminate between the two assumptions and their corresponding models—the self-organization model and the correlational model.

95 citations

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TL;DR: A general deterministic discrete-time metapopulation model with a finite number of habitat patches is analysed within the framework of adaptive dynamics and it is proved analytically that if the resident populations state is a fixed point, then the resident strategy with no migration is an evolutionarily stable strategy.

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TL;DR: An analytic model, based on the idea that contests are determined by subjective perceptions of resource-holding potential (RHP) which animals may revise in the light of experience, demonstrates that winner and loser effects can evolve through round-robin competition among triads of animals drawn randomly from their population, and that the probability of a hierarchy increases with the strength of the combined effect.

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TL;DR: This work attempts to understand how hydrocephalus can exist with normal VCSFP by exploring the role of the brain parenchyma in absorbing CSF, and concludes that only the second theory—seepage of CSF with efficient parenchymal absorption—accounts for the clinical features of normal pressure Hydrocephalus.

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TL;DR: A new analytical model is presented, using a second-order approximation to capture the spatial dynamics in terms of the densities and spatial covariances of healthy and infected hosts, to explain the dynamic growth of patchiness during the early phase of the epidemic.

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TL;DR: This paper explores the possibility of chaos control in biological systems by means of both mathematical and individual-based simulation models and shows that controlling a noisy system becomes more difficult but, as shown here, it is a feasible task allowed to be experimentally tested.

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TL;DR: The results indicate that competition for antigenic stimulation, mediated by the APCs, combines with cytokine mediated cross-suppression between phenotypes to yield a response that is eventually dominated by T helper cells that are uniform in both receptor specificity (clonotype) and in cytokine secretion phenotype.

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TL;DR: Having the erythrocyte shape expressed in its new form it is readily amenable to further transformations that might be used to model those changes in shape that are seen when the cells are immersed in media of various osmolalities, or when they change metabolic ’states’.

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TL;DR: This model is consistent with the view that normal physiological systems can be regulated by robust and richly connected feedback networks with complex dynamics, and that loss of complexity in the feedback structure due to disease leads to more orderly behavior.

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TL;DR: It is shown that none of these competition models generates patchiness at equilibrium, and the patch-occupancy model does an excellent job of predicting the equilibrium frequencies of the species and the conditions required for coexistence, but not of predicting transient behavior.

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TL;DR: It is shown that, whilst the speed with which the labelled cells migrate through the tumour is independent of the type of cells that are labelled, their limiting distribution depends crucially on whether inert polystyrene microspheres or live tumour cells are labelled.

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TL;DR: A periodically-forced, stage-structured mathematical model predicted the transient and asymptotic behaviors of Tribolium (flour beetle) populations cultured in periodic habitats of fluctuating flour volume.

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TL;DR: The model describes basic features that characterize HTLV-I infection; the chronic infection of CD4+ T cells, the increasing number of abnormal cells and the possible progression to ATL.

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TL;DR: Nonlinear bifurcation analysis is used to show that differential origin-dependent cell adhesion can result in the stabilization of rows over spots and suggest that it is a cell’s location prior to migration that determines its interactions during migration.

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TL;DR: It is shown that this bistability within the G1-phase exists under unsaturated growth factor concentration levels and the biological significance of this result as well as possible experimental designs to test these predictions are presented.

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TL;DR: Protein analysis showed that both types of vesicles are highly depleted in the membrane skeleton, and it is suggested that a partial detachment of the skeleton in the budding region is favoured due to accumulated skeleton shear deformations in this region.

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TL;DR: The biological model describes mathematically the typical properties of phyto-and zooplankton, their interactions and their response to the physical environment, which allows the study of the behaviour of Lagrangian clusters of virtual plankton that are subjected to such environments.

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TL;DR: In this study, two previously developed mathematical models are approximated by their linearizations about a reference condition, which yields matrices which estimate cell volume, cell composition, and transcellular fluxes in response to perturbations of bath conditions and membrane transporter activity.

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TL;DR: A new numerical method is developed for simulation of reactive bacterial transport in porous media based on the ideas of the ‘exact’ time-stepping scheme, which leads to solutions free from the numerical instabilities that arise from incorrect modeling of derivatives and reaction terms.

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TL;DR: The theoretical assessments support the finding that specific mutations along the PKC-AP1 pathways can have a critical effect on the rate at which cells enter the division cycle.

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TL;DR: The bayesian decomposition of posterior distribution was used to develop a likelihood function to correct bias in the estimates of population parameters from data collected randomly with size-specific selectivity.