On Stable Parameter Estimation and Forecasting in Epidemiology by the Levenberg-Marquardt Algorithm with Broyden's Rank-one Updates for the Jacobian Operator.

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：: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：: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：: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：:The tumour suppressor gene, p53, plays an important role in tumour development. Under low levels of oxygen (hypoxia), cells expressing wild-type p53 undergo programmed cell death (apoptosis), whereas cells expressing mutations in the p53 gene may survive and express angiogenic growth factors that stimulate tumour vasc...

journal_title：Bulletin of mathematical biology

authors： Gammack D,Byrne HM,Lewis CE

更新日期：2001-01-01 00:00:00

abstract：:Continuing the discussion of how children can modify and regularize linguistic inputs from adults, we present a new interpretation of existing algorithms to model and investigate the process of a learner learning from an inconsistent source. On the basis of this approach is a (possibly nonlinear) function (the update ...

journal_title：Bulletin of mathematical biology

authors： Ma T,Komarova NL

更新日期：2017-03-01 00:00:00

abstract：:Measures of sexual dimorphism have been used extensively to predict the social organization and ecology of animal and human populations. There is, however, no universally accepted measure of phenotypic differences between the sexes. Most indices of sexual dimorphism fail to incorporate all of the information contained...

journal_title：Bulletin of mathematical biology

authors： Ipiña SL,Durand AI

更新日期：2000-09-01 00:00:00

abstract：:Dengue is a growing public health problem in tropical and subtropical cities. It is transmitted by mosquitoes, and the main strategy for epidemic prevention and control is insecticide fumigation. Effective management is, however, proving elusive. People's day-to-day movement about the city is believed to be an importa...

journal_title：Bulletin of mathematical biology

authors： Falcón-Lezama JA,Martínez-Vega RA,Kuri-Morales PA,Ramos-Castañeda J,Adams B

更新日期：2016-10-01 00:00:00

abstract：:The culmination of the morphogenesis of the cellular slime mould Dictyostelium discoideum involves complex cell movements which transform a mound of cells into a globule of spores on a slender stalk. We show that cyclic AMP signalling and differential adhesion, combined with cell differentiation and slime production, ...

journal_title：Bulletin of mathematical biology

authors： Marée AF,Hogeweg P

更新日期：2002-03-01 00:00:00

abstract：:National Bureau of Statistics of China reports that the incidence of schistosomiasis has been increasing in recent years. To study dynamic behaviors of schistosomiasis transmission, based on practical experience of staff in Anhui Institute of Schistosomiasis, a mathematical schistosomiasis model with reinfection of re...

journal_title：Bulletin of mathematical biology

authors： Qi L,Xue M,Cui JA,Wang Q,Wang T

更新日期：2018-09-01 00:00:00

abstract：:Host bird species of the Eurasian Cuckoo, Cuculus canorus, often display egg-discrimination behaviour but chick-rejection behaviour has never been reported. In this paper, we analyse a host-cuckoo association in which both population dynamics and evolutionary dynamics are explored in a discrete-time model. We introduc...

journal_title：Bulletin of mathematical biology

authors： Planqué R,Britton NF,Franks NR,Peletier MA

更新日期：2002-11-01 00:00:00

abstract：:Pseudomonas aeruginosa is a Gram-negative bacterium that is responsible for a wide range of infections in humans. Colonies employ quorum sensing (QS) to coordinate gene expression, including for virulence factors, swarming motility and complex social traits. The QS signalling system of P. aeruginosa is known to involv...

journal_title：Bulletin of mathematical biology

authors： Alfiniyah C,Bees MA,Wood AJ

更新日期：2017-06-01 00:00:00

abstract：:Aggregation of membrane molecules is a crucial phenomenon in developing organisms, a classic example being the aggregation of post-synaptic receptors during synaptogenesis. Our understanding of the molecular events involved is improving, but most models of the aggregation or concentration process do not address bindin...

journal_title：Bulletin of mathematical biology

authors： Stollberg J

更新日期：1995-09-01 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：:With increasing fishing pressures having brought several stocks to the brink of collapse, there is a need for developing efficient harvesting methods that account for factors beyond merely yield or profit. We consider the dynamics and management of a stage-structured fish stock. Our work is based on a consumer-resourc...

journal_title：Bulletin of mathematical biology

authors： Meng X,Lundström NL,Bodin M,Brännström Å

更新日期：2013-01-01 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：:In this paper we introduce and study a model for electrical activity of cardiac membrane which incorporates only an inward and an outward current. This model is useful for three reasons: (1) Its simplicity, comparable to the FitzHugh-Nagumo model, makes it useful in numerical simulations, especially in two or three sp...

journal_title：Bulletin of mathematical biology

authors： Mitchell CC,Schaeffer DG

更新日期：2003-09-01 00:00:00

abstract：:Cancer is a complex phenomenon, and the sheer variation in behaviour across different types renders it difficult to ascertain underlying biological mechanisms. Experimental approaches frequently yield conflicting results for myriad reasons, and mathematical modelling of cancer is a vital tool to explore what we cannot...

journal_title：Bulletin of mathematical biology

authors： Grimes DR,Fletcher AG

更新日期：2020-01-22 00:00:00

abstract：:We consider a kinetic law of mass action model for Fibroblast Growth Factor (FGF) signaling, focusing on the induction of the RAS-MAP kinase pathway via GRB2 binding. Our biologically simple model suffers a combinatorial explosion in the number of differential equations required to simulate the system. In addition to ...

journal_title：Bulletin of mathematical biology

authors： Gaffney EA,Heath JK,Kwiatkowska MZ

更新日期：2008-11-01 00:00:00

abstract：:In this paper, we present a mathematical model predicting the fraction of proliferating cells in G1, S, and G2/M phases of the cell cycle as a function of EGFR and HER2. We show that it is possible to find parameters for the mathematical model so that its predictions agree with the experimental observations that HER2 ...

journal_title：Bulletin of mathematical biology

authors： Eladdadi A,Isaacson D

更新日期：2011-12-01 00:00:00

abstract：:Evolutionary game dynamics of two strategies in finite population is studied by continuous probabilistic approach. Besides frequency dependent selection, mutation was also included in this study. The equilibrium probability density functions of abundance, expected time to extinction or fixation were derived and their ...

journal_title：Bulletin of mathematical biology

authors： Gao M

更新日期：2009-07-01 00:00:00

abstract：:Many neurons in mammalian sensory systems exhibit On and Off responses when given appropriate excitatory and inhibitory stimuli. In some instances, such neurons can also exhibit a Mixed response where diminished On and Off responses are both present. In this manuscript, we present a simple single cell model for these ...

journal_title：Bulletin of mathematical biology

authors： Latulippe J,Pernarowski M

更新日期：2009-01-01 00:00:00

abstract：:The fluorescent dye carboxyfluorescein diacetate succinimidyl ester (CFSE) classifies proliferating cell populations into groups according to the number of divisions each cell has undergone (i.e., its division class). The pulse labeling of cells with radioactive thymidine provides a means to determine the distribution...

journal_title：Bulletin of mathematical biology

authors： Lee HY,Perelson AS

更新日期：2008-01-01 00:00:00

abstract：:We consider organisms which use a renewal strategy such as run-tumble when moving in space, for example to perform chemotaxis in chemical gradients. We derive a diffusion approximation for the motion, applying a central limit theorem due to Anscombe for renewal-reward processes; this theorem has not previously been ap...

journal_title：Bulletin of mathematical biology

authors： Thygesen UH

更新日期：2016-03-01 00:00:00

abstract：:The Hodgkin and Huxley equations have served as the benchmark model in electrophysiology since 1950s. But it suffers from four major drawbacks. Firstly, it is only phenomenological not mechanistic. Secondly, it fails to exhibit the all-or-nothing firing mechanism for action potential generation. Thirdly, it lacks a th...

journal_title：Bulletin of mathematical biology

authors： Deng B

更新日期：2017-06-01 00:00:00

abstract：:Knowledge about large-scale and long-term dynamics of (natural) populations is required to assess the efficiency of control strategies, the potential for long-term persistence, and the adaptability to global changes such as habitat fragmentation and global warming. For most natural populations, such as pest population...

journal_title：Bulletin of mathematical biology

authors： Soubeyrand S,Neuvonen S,Penttinen A

更新日期：2009-02-01 00:00:00

abstract：:A dynamic model for cell differentiation, where cells with internal chemical reaction dynamics interact with each other and replicate was studied. It led to spontaneous differentiation of cells and determination, as discussed in the isologous diversification. The following features of the differentiation were obtained...

journal_title：Bulletin of mathematical biology

authors： Furusawa C,Kaneko K

更新日期：1998-07-01 00:00:00

abstract：:A previously investigated basic model (System B) for the study of signaling morphogen gradient formation that allows for reversible binding of morphogens (aka ligands) with signaling receptors, degradation of bound morphogens and diffusion of unbound morphogens is extended to include the effects of membrane-bound non-...

journal_title：Bulletin of mathematical biology

authors： Lander AD,Nie Q,Wan FY

更新日期：2007-01-01 00:00:00

abstract：:Autoinhibition of neurotransmitter release occurs via binding of transmitter to appropriate receptors. Experiments have provided evidence suggesting that the control of neurotransmitter release in fast systems is mediated by these inhibitory autoreceptors. Earlier, the authors formulated and analysed a mathematical mo...

journal_title：Bulletin of mathematical biology

authors： Yusim K,Parnas H,Segel LA

更新日期：2000-07-01 00:00:00

abstract：:This paper is devoted to the investigation of the effects of periodic drug treatment on a standard within-host virus model. We first introduce the basic reproduction ratio for the model, and then show that the infection free equilibrium is globally asymptotically stable, and the disease eventually disappears if R0<1, ...

journal_title：Bulletin of mathematical biology

authors： Wang Z,Zhao XQ

更新日期：2013-03-01 00:00:00