Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles.

abstract：:Most of present mathematical models for biological activity consider just the molecular structure. In the present article we pretend extending the use of Markov chain models to define novel molecular descriptors, which consider in addition other parameters like target site or biological effect. Specifically, this math...

journal_title：Bulletin of mathematical biology

authors： Cruz-Monteagudo M,González-Díaz H,Uriarte E

更新日期：2006-10-01 00:00:00

abstract：:DNA and protein sequence comparisons are performed by a number of computational algorithms. Most of these algorithms search for the alignment of two sequences that optimizes some alignment score. It is an important problem to assess the statistical significance of a given score. In this paper we use newly developed me...

journal_title：Bulletin of mathematical biology

authors： Goldstein L,Waterman MS

更新日期：1992-09-01 00:00:00

abstract：:Here, we consider a game-theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in which individuals are best off cheating, while groups of individuals do best whe...

journal_title：Bulletin of mathematical biology

authors： Cooney DB

更新日期：2020-05-30 00:00:00

abstract：:In this paper we formulate a multi-patch multi-species model in which the per-capita emigration rate of one species depends on the density of some other species. We then focus on Turing instability to examine if and when this cross-emigration response has crucial effects. We find that the type of interaction matters g...

journal_title：Bulletin of mathematical biology

authors： Huang Y,Diekmann O

更新日期：2003-01-01 00:00:00

abstract：:Cycles in biological populations have been shown to arise from enemy-victim systems, delayed density dependence, and maternal effects. In an initial effort to model the year-to-year dynamics of natural populations of entomopathogenic nematodes and their insect hosts, we find that a simple, nonlinear, mechanistic model...

journal_title：Bulletin of mathematical biology

authors： Dugaw CJ,Hastings A,Preisser EL,Strong DR

更新日期：2004-05-01 00:00:00

abstract：:We study crossflow filtration mechanisms in suspension-feeding fishes using computational fluid dynamics to model fluid flow and food particle movement in the vicinity of the gill rakers. During industrial and biological crossflow filtration, particles are retained when they remain suspended in the mainstream flow tra...

journal_title：Bulletin of mathematical biology

authors： Cheer A,Cheung S,Hung TC,Piedrahita RH,Sanderson SL

更新日期：2012-04-01 00:00:00

abstract：:Bursting electrical activity is ubiquitous in excitable cells such as neurons and many endocrine cells. The technique of fast/slow analysis, which takes advantage of time scale differences, is typically used to analyze the dynamics of bursting in mathematical models. Two classes of bursting oscillations that have been...

journal_title：Bulletin of mathematical biology

authors： Teka W,Tsaneva-Atanasova K,Bertram R,Tabak J

更新日期：2011-06-01 00:00:00

abstract：:The insertion-deletion model developed by Thorne, Kishino and Felsenstein (1991, J. Mol. Evol., 33, 114-124; the TKF91 model) provides a statistical framework of two sequences. The statistical alignment of a set of sequences related by a star tree is a generalization of this model. The known algorithm computes the pro...

journal_title：Bulletin of mathematical biology

authors： Miklós I

更新日期：2002-07-01 00:00:00

abstract：:A semi-empirical model applicable to the flow of blood and other particulate suspensions through narrow tubes has been developed. It envisages a central core of blood surrounded by a wall layer of reduced hematocrit. With the help of this model the wall layer thickness and extent of plug flow may be calculated using p...

journal_title：Bulletin of mathematical biology

authors： Das RN,Seshadri V

更新日期：1975-10-01 00:00:00

abstract：:Recent experimental evidence suggests that vasculogenesis may play an important role in tumour vascularisation. While angiogenesis involves the proliferation and migration of endothelial cells (ECs) in pre-existing vessels, vasculogenesis involves the mobilisation of bone-marrow-derived endothelial progenitor cells (E...

journal_title：Bulletin of mathematical biology

authors： Stamper IJ,Byrne HM,Owen MR,Maini PK

更新日期：2007-11-01 00:00:00

abstract：:In special coordinates (codon position-specific nucleotide frequencies), bacterial genomes form two straight lines in 9-dimensional space: one line for eubacterial genomes, another for archaeal genomes. All the 348 distinct bacterial genomes available in Genbank in April 2007, belong to these lines with high accuracy....

journal_title：Bulletin of mathematical biology

authors： Gorban AN,Zinovyev AY

更新日期：2007-10-01 00:00:00

abstract：:Since the first major outbreak reported on the island Yap in 2007, the Zika virus spread has alerted the scientific community worldwide. Zika is an arbovirus transmitted by Aedes mosquitoes; particularly in Central and South America, the main vector is the same mosquito that transmits dengue and chikungunya, Aedes aeg...

journal_title：Bulletin of mathematical biology

authors： Baca-Carrasco D,Velasco-Hernández JX

更新日期：2016-11-01 00:00:00

abstract：:Two algorithms for the efficient identification of segment neighborhoods are presented. A segment neighborhood is a set of contiguous residues that share common features. Two procedures are developed to efficiently find estimates for the parameters of the model that describe these features and for the residues that de...

journal_title：Bulletin of mathematical biology

authors： Auger IE,Lawrence CE

更新日期：1989-01-01 00:00:00

abstract：:Mathematical models have been used to simulate HIV transmission and to study the use of preexposure prophylaxis (PrEP) for HIV prevention. Often a single intervention outcome over 10 years has been used to evaluate the effectiveness of PrEP interventions. However, different metrics express a wide variation over time a...

journal_title：Bulletin of mathematical biology

authors： Zhao Y,Dimitrov DT,Liu H,Kuang Y

更新日期：2013-04-01 00:00:00

abstract：:Synchronization and desynchronization is of great interest in the study of circadian rhythms, metabolic oscillations and time-dependent cell aggregate behaviors. Several recent studies examine synchronization and other dynamics in models of repressilators coupled by a quorum sensing mechanism that uses a diffusive sig...

journal_title：Bulletin of mathematical biology

authors： Gedeon T,Pernarowski M,Wilander A

更新日期：2016-06-01 00:00:00

abstract：:The human body's immune response to bacterial challenge, even when successful in controlling the infection, can result in negative consequences for the host, including reduced functionality of associated tissues. We present and analyze a low-dimensional mathematical model of this immune response to pathogen invasion, ...

journal_title：Bulletin of mathematical biology

authors： Caudill L,Lynch F

更新日期：2018-08-01 00:00:00

abstract：:In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions...

journal_title：Bulletin of mathematical biology

authors： Le Sech C,Capderou A

更新日期：1996-11-01 00:00:00

abstract：:Molecular motors such as kinesin and dynein are responsible for transporting material along microtubule networks in cells. In many contexts, motor dynamics can be modelled by a system of reaction-advection-diffusion partial differential equations (PDEs). Recently, quasi-steady-state (QSS) methods have been applied to ...

journal_title：Bulletin of mathematical biology

authors： Zmurchok C,Small T,Ward MJ,Edelstein-Keshet L

更新日期：2017-09-01 00:00:00

abstract：:Human rabies is one of the major public health problems in China with an average of 1977 cases per year. It is estimated that 95% of these human rabies cases are due to dog bites. In recent years, the number of wildlife-associated human rabies cases has increased, particularly in the southeast and northeast regions of...

journal_title：Bulletin of mathematical biology

authors： Huang J,Ruan S,Shu Y,Wu X

更新日期：2019-04-01 00:00:00

abstract：:We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...

journal_title：Bulletin of mathematical biology

authors： Dinh V,Rundell AE,Buzzard GT

更新日期：2014-03-01 00:00:00

abstract：:We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food....

journal_title：Bulletin of mathematical biology

authors： Huang Q,Wang H,Ricciardi A,Lewis MA

更新日期：2016-03-01 00:00:00

abstract：:A coupled model is presented for simulating physical and biological dynamics in fresh water lakes. The physical model rests upon the assumption that the turbulent kinetic energy in a water column of the lake is fully contained in a mixed layer of variable depth. Below this layer the mechanical energy content is assume...

journal_title：Bulletin of mathematical biology

authors： Franke U,Hutter K,Jöhnk K

更新日期：1999-03-01 00:00:00

abstract：:In a companion paper (Lof et al., in Bull. Math. Biol., 2008), we describe a spatio-temporal model for insect behavior. This model includes chemical information for finding resources and conspecifics. As a model species, we used Drosophila melanogaster, because its behavior is documented comparatively well. We divide ...

journal_title：Bulletin of mathematical biology

authors： de Gee M,Lof ME,Hemerik L

更新日期：2008-10-01 00:00:00

abstract：:The amoebae Dictyostelium discoideum aggregate after starvation in a wavelike manner in response to periodic pulses of cyclic AMP (cAMP) secreted by cells which behave as aggregation centers. In addition to autonomous oscillations, the cAMP signaling system that controls aggregation is also capable of excitable behavi...

journal_title：Bulletin of mathematical biology

authors： Goldbeter A

更新日期：2006-07-01 00:00:00

abstract：:Preserving a system's viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or f...

journal_title：Bulletin of mathematical biology

authors： Kareva I,Morin B,Castillo-Chavez C

更新日期：2015-02-01 00:00:00

abstract：:The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we ca...

journal_title：Bulletin of mathematical biology

authors： Ruan S,Xiao D,Beier JC

更新日期：2008-05-01 00:00:00

abstract：:Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic ou...

journal_title：Bulletin of mathematical biology

authors： Lundh T,Gerlee P

更新日期：2013-05-01 00:00:00

abstract：:The coordinated beating of motile cilia is responsible for ovum transport in the oviduct, transport of mucus in the respiratory tract, and is the basis of motility in many single-celled organisms. The beating of a single motile cilium is achieved by the ATP-driven activation cycles of thousands of dynein molecular mot...

journal_title：Bulletin of mathematical biology

authors： Yang X,Dillon RH,Fauci LJ

更新日期：2008-05-01 00:00:00

abstract：:In this paper, we study quorum sensing in Pseudomonas aeruginosa biofilms. Quorum sensing is a process where bacteria monitor their population density through the release of extra-cellular signalling molecules. The presence of these molecules affects gene modulation leading to changes in behaviour such as the release ...

journal_title：Bulletin of mathematical biology

authors： Vaughan BL Jr,Smith BG,Chopp DL

更新日期：2010-07-01 00:00:00

abstract：:In Xenopus and Drosophila, the nucleocytoplasmic ratio controls many aspects of cell-cycle remodeling during the transitory period that leads from fast and synchronous cell divisions of early development to the slow, carefully regulated growth and divisions of somatic cells. After the fifth cleavage in sea urchin embr...

journal_title：Bulletin of mathematical biology

authors： Ciliberto A,Tyson JJ

更新日期：2000-01-01 00:00:00