A Mathematical Model of the Inflammatory Response to Pathogen Challenge.

abstract：:Because all the cell populations are capable of making switches between different genetic expression states in response to the environmental change, Thattai and van Oudenaarden (Genetics 167, 523-530, 2004) have raised a very interesting question: In a constantly fluctuating environment, which type of cell population ...

journal_title：Bulletin of mathematical biology

authors： Pang NN,Tzeng WJ

更新日期：2008-01-01 00:00:00

abstract：:Premised on relatively simple assumptions, mathematical models like those of Monod, Pirt or Droop inadequately explain the complex transient behavior of microbial populations. In particular, these models fail to explain many aspects of the dynamics of a Tetrahymena pyriformis-Escherichia coli community. In this study ...

journal_title：Bulletin of mathematical biology

authors： Jaworska JS,Hallam TG,Schultz TW

更新日期：1996-03-01 00:00:00

abstract：:We explore the dynamics of invasive weeds by partial differential equation (PDE) modelling and applying dynamical system and phase portrait techniques. We begin by applying the method of characteristics to a preexisting PDE model of the spreading of T. fluminensis, an invasive weed which has been responsible for nativ...

journal_title：Bulletin of mathematical biology

authors： Ramaj T

更新日期：2021-01-07 00:00:00

abstract：:We introduce here a gene evolution model which is an extension of the time-continuous stochastic IDIS model (Lèbre and Michel in J. Comput. Biol. Chem. 34:259-267, 2010) to sequence length. This new IDISL (Insertion Deletion Independent of Substitution based on sequence Length) model gives an analytical expression of ...

journal_title：Bulletin of mathematical biology

authors： Lèbre S,Michel CJ

更新日期：2012-08-01 00:00:00

abstract：:The paper reviews the work of Kermack and McKendrick on the development of simple mathematical models of the transmission dynamics of viral and bacterial infectious agents within population of hosts. The focus of attention is centred on the notion of a threshold density of susceptible hosts to trigger an epidemic and ...

journal_title：Bulletin of mathematical biology

authors： Anderson RM

更新日期：1991-01-01 00:00:00

abstract：:Bovine Babesiosis (BB) is a tick borne parasitic disease with worldwide over 1.3 billion bovines at potential risk of being infected. The disease, also called tick fever, causes significant mortality from infection by the protozoa upon exposure to infected ticks. An important factor in the spread of the disease is the...

journal_title：Bulletin of mathematical biology

authors： Friedman A,Yakubu AA

更新日期：2014-01-01 00:00:00

abstract：:A protein fold can be viewed as a self-avoiding walk in certain lattice model, and its contact map is a graph that represents the patterns of contacts in the fold. Goldman, Istrail, and Papadimitriou showed that a contact map in the 2D square lattice can be decomposed into at most two stacks and one queue. In the term...

journal_title：Bulletin of mathematical biology

authors： Guo QH,Sun LH,Wang J

更新日期：2017-01-01 00:00:00

abstract：:Marine birds and mammals move between various habitats during the day as they engage in behaviors related to resting, sleeping, preening, feeding, and breeding. The per capita rates of movement between these habitats, and hence the habitat occupancy dynamics, often are functions of environmental variables such as tide...

journal_title：Bulletin of mathematical biology

authors： Henson SM,Hayward JL,Damania SP

更新日期：2006-02-01 00:00:00

abstract：:This study is concerned with reconciling theoretical modelling of the fluid flow in the airway surface liquid with experimental visualisation of tracer transport in human airway epithelial cultures. The airways are covered by a dense mat of cilia of length approximately 6 microm beating in a watery periciliary liquid ...

journal_title：Bulletin of mathematical biology

authors： Smith DJ,Gaffney EA,Blake JR

更新日期：2007-04-01 00:00:00

abstract：:Recent discoveries in ecological stoichiometry have indicated that food quality in terms of the phosphorus/carbon (P/C) ratio affects consumers whether the imbalance involves insufficient or excess nutrients. This phenomenon is called the "stoichiometric P/C knife-edge." In this study, we develop and analyze a produce...

journal_title：Bulletin of mathematical biology

authors： Asik L,Kulik J,Long KR,Peace A

更新日期：2019-07-01 00:00:00

abstract：:A rigorous Bayesian analysis is presented that unifies protein sequence-structure alignment and recognition. Given a sequence, explicit formulae are derived to select (1) its globally most probable core structure from a structure library; (2) its globally most probable alignment to a given core structure; (3) its most...

journal_title：Bulletin of mathematical biology

authors： Lathrop RH,Rogers RG Jr,Smith TF,White JV

更新日期：1998-11-01 00:00:00

abstract：:We have programmed a Monte Carlo simulation of the Q-cycle model of electron transport in cytochrome b(6)f complex, an enzyme in the photosynthetic pathway that converts sunlight into biologically useful forms of chemical energy. Results were compared with published experiments of Kramer and Crofts (Biochim. Biophys. ...

journal_title：Bulletin of mathematical biology

authors： Schumaker MF,Kramer DM

更新日期：2011-09-01 00:00:00

abstract：:Evidence suggests that many G protein-coupled receptors (GPCRs) are bound together forming dimers. The implications of dimerisation for cellular signalling outcomes, and ultimately drug discovery and therapeutics, remain unclear. Consideration of ligand binding and signalling via receptor dimers is therefore required ...

journal_title：Bulletin of mathematical biology

authors： White C,Bridge LJ

更新日期：2019-09-01 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：: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：:This paper considers plant-pollinator systems in which plants are divided into two categories: The plants that secret a substantial volume of nectar in their flowers are called secretors, while those without secreting nectar are called nonsecretors (cheaters). The interaction between pollinators and secretors is mutua...

journal_title：Bulletin of mathematical biology

authors： Wang Y,Wu H

更新日期：2013-07-01 00:00:00

abstract：:The present paper studies a predator-prey fishery model which incorporates the independent harvesting strategies and nonlinear impact of an anthropogenic toxicant. Both fish populations are harvested with different harvesting efforts, and the cases for the presence and non-presence of harvesting effort are discussed. ...

journal_title：Bulletin of mathematical biology

authors： Ang TK,Safuan HM,Sidhu HS,Jovanoski Z,Towers IN

更新日期：2019-07-01 00:00:00

abstract：:In previous studies, we used a mathematical model of the thick ascending limb (TAL) to investigate nonlinearities in the tubuloglomerular feedback (TGF) loop. That model does not represent other segments of the nephron, the water, and NaCl transport along which may impact fluid flow rate and NaCl transport along the T...

journal_title：Bulletin of mathematical biology

authors： Layton AT,Edwards A

更新日期：2010-01-01 00:00:00

abstract：:The apoptotic caspase-3/8 feedback loop describes the core of the extrinsic pro-apoptotic signaling pathway, an essential part of apoptosis. Latter is a prototype of the programmed cell death, which enables organisms to remove damaged or infected cells. The reaction network of the caspase-3/8 feedback loop in a single...

journal_title：Bulletin of mathematical biology

authors： Daub M

更新日期：2013-11-01 00:00:00

abstract：:Two types of behavior have been previously reported in models of immune networks. The typical behavior of simple models, which involve B cells only, is stationary behavior involving several steady states. Finite amplitude perturbations may cause the model to switch between different equilibria. The typical behavior of...

journal_title：Bulletin of mathematical biology

authors： De Boer RJ,Perelson AS,Kevrekidis IG

更新日期：1993-01-01 00:00:00

abstract：:The origin of the modern genetic code and the mechanisms that have contributed to its present form raise many questions. The main goal of this work is to test two hypotheses concerning the development of the genetic code for their compatibility and complementarity and see if they could benefit from each other. On the ...

journal_title：Bulletin of mathematical biology

authors： Fimmel E,Starman M,Strüngmann L

更新日期：2020-04-04 00:00:00

abstract：:The apparent synchronisation of spatially discrete populations is a well documented phenomenon. However, it is not clear what the governing mechanisms are for this synchrony, and whether they are robust over a range of environmental conditions and patch specific population dynamic behaviours. In this paper, we explore...

journal_title：Bulletin of mathematical biology

authors： Hillary RM,Bees MA

更新日期：2004-11-01 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：:In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and e...

journal_title：Bulletin of mathematical biology

authors： Dhillon DS,Milinkovitch MC,Zwicker M

更新日期：2017-04-01 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：: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：:We study a recently discovered class of models for plateau bursting, inspired by models for endocrine pituitary cells. In contrast to classical models for fold-homoclinic (square-wave) bursting, the spikes of the active phase are not supported by limit cycles of the frozen fast subsystem, but are transient oscillation...

journal_title：Bulletin of mathematical biology

authors： Stern JV,Osinga HM,LeBeau A,Sherman A

更新日期：2008-01-01 00:00:00

abstract：:There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a relation between a calc...

journal_title：Bulletin of mathematical biology

authors： Shoucri RM,Rouleau JR,Kingma JG Jr,Dumesnil JG,Dagenais GR

更新日期：1989-01-01 00:00:00

abstract：:Degradable scaffolds represent a promising solution for tissue engineering of damaged or degenerated articular cartilage which due to its avascular nature, is characterized by a low self-repair capacity. To estimate the articular cartilage regeneration process employing degradable scaffolds, we propose a mathematical ...

journal_title：Bulletin of mathematical biology

authors： Yun A,Lee SH,Kim J

更新日期：2013-12-01 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