The exact joint distribution of the sum of heads and apparent size statistics of a "tandem repeats finder" algorithm.

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：:Viruses that infect bacteria, i.e., bacteriophage or 'phage,' are increasingly considered as treatment options for the control and clearance of bacterial infections, particularly as compassionate use therapy for multi-drug-resistant infections. In practice, clinical use of phage often involves the application of multi...

journal_title：Bulletin of mathematical biology

authors： Li G,Leung CY,Wardi Y,Debarbieux L,Weitz JS

更新日期：2020-06-12 00:00:00

abstract：:A mathematical control model for the transmission dynamics of tuberculosis (TB) in South Korea is developed on the basis of the reported active-TB and relapse-TB incidence data. In this work, optimal control theory is used to propose optimal TB prevention and control strategy and rearrange the government TB budget for...

journal_title：Bulletin of mathematical biology

authors： Choi S,Jung E

更新日期：2014-07-01 00:00:00

abstract：:Advances in fluorescent labeling of cells as measured by flow cytometry have allowed for quantitative studies of proliferating populations of cells. The investigations (Luzyanina et al. in J. Math. Biol. 54:57-89, 2007; J. Math. Biol., 2009; Theor. Biol. Med. Model. 4:1-26, 2007) contain a mathematical model with fluo...

journal_title：Bulletin of mathematical biology

authors： Banks HT,Sutton KL,Thompson WC,Bocharov G,Roose D,Schenkel T,Meyerhans A

更新日期：2011-01-01 00:00:00

abstract：:We develop a numerical method for estimating optimal parameters in a mathematical model of the within-host dynamics of malaria infection. The model consists of a quasilinear system of partial differential equations. Convergence theory for the computed parameters is provided. Following this analysis, we present several...

journal_title：Bulletin of mathematical biology

authors： Thibodeaux JJ,Schlittenhardt TP

更新日期：2011-11-01 00:00:00

abstract：:To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundan...

journal_title：Bulletin of mathematical biology

authors： Grafton RQ,Kompas T,Lindenmayer D

更新日期：2005-09-01 00:00:00

abstract：:It has been postulated that fibroblast growth factor (FGF) treatment of cultured limb bud mesenchyme cells reinforces the lateral inhibitory effect, but the cells also show accelerated pattern appearance. In the present study, we analyze how a small change in a specific parameter affects the speed of pattern appearanc...

journal_title：Bulletin of mathematical biology

authors： Miura T,Maini PK

更新日期：2004-07-01 00:00:00

abstract：:While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result ...

journal_title：Bulletin of mathematical biology

authors： Miller Neilan RL,Schaefer E,Gaff H,Fister KR,Lenhart S

更新日期：2010-11-01 00:00:00

abstract：:Understanding the life-history complex of eusociality has remained an enduring problem in evolutionary ecology, partially because natural selection models have considered traits in relative isolation. I aim for a more inclusive model that uses ecological interactions to predict the evolutionary existence of sexual rep...

journal_title：Bulletin of mathematical biology

authors： Witting L

更新日期：2007-05-01 00:00:00

abstract：:We exhibit a stochastic discrete time model that produces the Eigen model (Naturwissenschaften 58:465-523, 1971) in the deterministic and continuous time limits. The model is based on the competition among individuals differing in terms of fecundity but with the same viability. We explicitly write down the Markov matr...

journal_title：Bulletin of mathematical biology

authors： Musso F

更新日期：2011-01-01 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：:Rigorously calibrating dynamic models with time-series data can pose roadblocks. Oftentimes, the problem is ill-posed and one has to rely on appropriate regularization techniques to ensure stable parameter estimation from which forward projections with quantified uncertainty could be generated. If the inversion proced...

journal_title：Bulletin of mathematical biology

authors： Smirnova A,Sirb B,Chowell G

更新日期：2019-10-01 00:00:00

abstract：:To obtain the correlation dimension and entropy from an experimental time series we derive estimators for these quantities together with expressions for their variances using a maximum likelihood approach. The validity of these expressions is supported by Monte Carlo simulations. We illustrate the use of the estimator...

journal_title：Bulletin of mathematical biology

authors： Olofsen E,Degoede J,Heijungs R

更新日期：1992-01-01 00:00:00

abstract：:A braced framework of tubular struts, in the walls and air spaces of frog lungs, suspends the respiratory surface and holds the lung open at zero transmural pressure withstanding imploding forces created by abdominal viscera, much as would the supports of a bell tent. The struts are tubes, having a larger second momen...

journal_title：Bulletin of mathematical biology

authors： Lawry J

更新日期：1999-07-01 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：:A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Spontaneously acquired drug resistance is accounted for, as well as the evolution in time of normal cells. In addition, optimization of conflicting objectives forms the aim of the chemotherapeutic...

journal_title：Bulletin of mathematical biology

authors： Costa MI,Boldrini JL

更新日期：1997-07-01 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：:Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypo...

journal_title：Bulletin of mathematical biology

authors： Wentz JM,Mendenhall AR,Bortz DM

更新日期：2018-10-01 00:00:00

abstract：:The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these modeling frameworks use differential equations. More recently, Stigler and Veliz-Cuba proposed a Boolean model that captures the bistabili...

journal_title：Bulletin of mathematical biology

authors： Jenkins A,Macauley M

更新日期：2017-08-01 00:00:00

abstract：:The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley value of unrooted trees and first revisit the so-called split counts of a phylogenetic tree and the Shapley transformation matrix that allows f...

journal_title：Bulletin of mathematical biology

authors： Wicke K,Fischer M

更新日期：2019-02-01 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：:The accuracy of the Fitch method for reconstructing ancestral states on ultrametric phylogenetic trees is studied. Two recurrence relations for computing the accuracy are given here. Using these relations, we analyze the convergence of the accuracy of the Fitch method for reconstructing the root state on a complete bi...

journal_title：Bulletin of mathematical biology

authors： Zhang L,Shen J,Yang J,Li G

更新日期：2010-10-01 00:00:00

abstract：:Spatial oscillations of proteins in bacteria have recently attracted much attention. The cellular mechanism underlying these oscillations can be studied at molecular as well as at more macroscopic levels. We construct a minimal mathematical model with two proteins that is able to produce self-sustained regular pole-to...

journal_title：Bulletin of mathematical biology

authors： Rashkov P,Schmitt BA,Søgaard-Andersen L,Lenz P,Dahlke S

更新日期：2012-09-01 00:00:00

abstract：:We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...

journal_title：Bulletin of mathematical biology

authors： van den Driessche P,Yakubu AA

更新日期：2019-11-01 00:00:00

abstract：:This paper investigates cell proliferation dynamics in small tumor cell aggregates using an individual-based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as the impact of the orientation of the division plane on this morphology. Our IBM m...

journal_title：Bulletin of mathematical biology

authors： Leroy-Lerêtre M,Dimarco G,Cazales M,Boizeau ML,Ducommun B,Lobjois V,Degond P

更新日期：2017-10-01 00:00:00

abstract：:We investigate the existence of oscillatory dynamics and multiple steady-state flow rates in a network with a simple topology and in vivo microvascular blood flow constitutive laws. Unlike many previous analytic studies, we employ the most biologically relevant models of the physical properties of whole blood. Through...

journal_title：Bulletin of mathematical biology

authors： Karst NJ,Storey BD,Geddes JB

更新日期：2015-07-01 00:00:00

abstract：:Mathematical modeling is an important tool to assessing quantitative conjectures and to answer specific questions. In the modeling, we assume that a competitor represented by a lactic acid bacterium produces antimicrobial compounds (substances that kill microorganisms or inhibit their growth), such as lactic acid and ...

journal_title：Bulletin of mathematical biology

authors： Delboni RR,Yang HM

更新日期：2017-07-01 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：: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：:A stochastic SIRS epidemic model with nonlinear incidence rate and varying population size is formulated to investigate the effect of stochastic environmental variability on inter-pandemic transmission dynamics of influenza A. Sufficient conditions for extinction and persistence of the disease are established. In the ...

journal_title：Bulletin of mathematical biology

authors： Li D,Cui J,Liu M,Liu S

更新日期：2015-09-01 00:00:00