Predicting Pattern Formation in Multilayer Networks.

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：:When two strings of symbols are aligned it is important to know whether the observed number of matches is better than that expected between two independent sequences with the same frequency of symbols. When strings are of different lengths, nulls need to be inserted in order to align the sequences. One approach is to ...

journal_title：Bulletin of mathematical biology

authors： Rinsma I,Hendy M,Penny D

更新日期：1990-01-01 00:00:00

abstract：:Cardiac and neural systems share common features of intrinsic oscillation in some cells as well as the ability to propagate excitation. One theoretical approach to study such systems is to develop realistic models for the tissue. This involves first developing detailed ionic "Hodgkin-Huxley"-type models of individual ...

journal_title：Bulletin of mathematical biology

authors： Glass L,Shrier A

更新日期：2015-05-01 00:00:00

abstract：:We formulate a mathematical model for food collection and production of workers and nymphs in 2 species of mound building termites. We maximise the number of nymphs (reproductives) produced by each colony over its lifetime with respect to the proportion of eggs that hatch as nymphs as opposed to workers. The results p...

journal_title：Bulletin of mathematical biology

authors： Cameron DA,Ivers DJ,Evans TA,Myerscough MR

更新日期：2008-01-01 00:00:00

abstract：:We incorporate a vector-bias term into a malaria-transmission model to account for the greater attractiveness of infectious humans to mosquitoes in terms of differing probabilities that a mosquito arriving at a human at random picks that human depending on whether he is infectious or susceptible. We prove that transcr...

journal_title：Bulletin of mathematical biology

authors： Chamchod F,Britton NF

更新日期：2011-03-01 00:00:00

abstract：:We present a new symmetric model of the idiotypic immune network. The model specifies clones of B-lymphocytes and incorporates: (1) influx and decay of cells; (2) symmetric stimulatory and inhibitory idiotypic interactions; (3) an explicit affinity parameter (matrix); (4) external (i.e. non-idiotypic) antigens. Suppre...

journal_title：Bulletin of mathematical biology

authors： De Boer RJ,Hogeweg P

更新日期：1989-01-01 00:00:00

abstract：:Moment closure methods are widely used to analyze mathematical models. They are specifically geared toward derivation of approximations of moments of stochastic models, and of similar quantities in other models. The methods possess several weaknesses: Conditions for validity of the approximations are not known, magnit...

journal_title：Bulletin of mathematical biology

authors： Nåsell I

更新日期：2017-09-01 00:00:00

abstract：:Radiation is commonly used in cancer treatment. Over 50% of all cancer patients will undergo radiotherapy (RT) as part of cancer care. Scientific advances in RT have primarily focused on the physical characteristics of treatment including beam quality and delivery. Only recently have inroads been made into utilizing t...

journal_title：Bulletin of mathematical biology

authors： Poleszczuk J,Walker R,Moros EG,Latifi K,Caudell JJ,Enderling H

更新日期：2018-05-01 00:00:00

abstract：:Trichloroethylene (TCE) is an industrial chemical and an environmental contaminant. TCE and its metabolites may be carcinogenic and affect human health. Physiologically based pharmacokinetic (PBPK) models that differ in compartmentalization are developed for TCE metabolism in humans, and the focus of this investigatio...

journal_title：Bulletin of mathematical biology

authors： Yokley KA,Evans MV

更新日期：2007-11-01 00:00:00

abstract：:Synaptic spines grow as a consequence of the formation of F-actin filaments at the spine head. The dynamics of F-actin in the spine head upon excitation of N-methy-D-aspartate (NMDA) receptors has recently been investigated experimentally, but there is no quantitative account of how these dynamic changes occur upon ac...

journal_title：Bulletin of mathematical biology

authors： Bennett MR,Farnell L,Gibson WG

更新日期：2011-09-01 00:00:00

abstract：:Turing patterns can be observed in reaction-diffusion systems where chemical species have different diffusion constants. In recent years, several studies investigated the effects of noise on Turing patterns and showed that the parameter regimes, for which stochastic Turing patterns are observed, can be larger than the...

journal_title：Bulletin of mathematical biology

authors： Cao Y,Erban R

更新日期：2014-12-01 00:00:00

abstract：:Gene transcription is a central cellular process and is stochastic in nature. The stochasticity has been studied in real cells and in theory, but often for the transcription activated by a single signaling pathway at steady-state. As transcription of many genes is involved with multiple pathways, we investigate how th...

journal_title：Bulletin of mathematical biology

authors： Sun Q,Tang M,Yu J

更新日期：2012-02-01 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：:Based on the logistic growth law for a tumour derived from enzymatic dynamics, we address from a physical point of view the phenomena of synergism, additivity and antagonism in an avascular anti-tumour system regulated externally by dual coupling periodic interventions, and propose a theoretical model to simulate the ...

journal_title：Bulletin of mathematical biology

authors： Hu WY,Zhong WR,Wang FH,Li L,Shao YZ

更新日期：2012-02-01 00:00:00

abstract：:This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be visc...

journal_title：Bulletin of mathematical biology

authors： Edwards CM,Chapman SJ

更新日期：2007-08-01 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：:The paper presents results on the asymptotic properties of the least-squares estimates (LSEs) of the reaction constants in mass-action, stochastic, biochemical network models. LSEs are assumed to be based on the longitudinal data from partially observed trajectories of a stochastic dynamical system, modeled as a conti...

journal_title：Bulletin of mathematical biology

authors： Rempala GA

更新日期：2012-08-01 00:00:00

abstract：:In this paper we use the Gray code representation of the genetic code C=00, U=10, G=11 and A=01 (C pairs with G, A pairs with U) to generate a sequence of genetic code-based matrices. In connection with these code-based matrices, we use the Hamming distance to generate a sequence of numerical matrices. We then further...

journal_title：Bulletin of mathematical biology

authors： He MX,Petoukhov SV,Ricci PE

更新日期：2004-09-01 00:00:00

abstract：:Human T-cell lymphotropic virus type I (HTLV-I) infection in humans causes a chronic infection of CD4+ T cells, and is associated with various disease outcomes, among them with the development of adult T-cell leukemia (ATL). The T-cell dynamics after HTLV-I infection can be described in a mathematical model with coupl...

journal_title：Bulletin of mathematical biology

authors： Stilianakis NI,Seydel J

更新日期：1999-09-01 00:00:00

abstract：:The scaling and shift of the gene expression boundary in a developing embryo are two key problems with regard to morphogen gradient formation in developmental biology. In this study, a bigradient model was applied to a nonlinear reaction diffusion system (NRDS) to investigate the location of morphogen gene expression ...

journal_title：Bulletin of mathematical biology

authors： Li WS,Shao YZ

更新日期：2014-06-01 00:00:00

abstract：:We derive point and interval estimates for an urban population of green tree frogs (Hyla cinerea) from capture-mark-recapture field data obtained during the years 2006-2009. We present an infinite-dimensional least-squares approach which compares a mathematical population model to the statistical population estimates ...

journal_title：Bulletin of mathematical biology

authors： Ackleh AS,Carter J,Deng K,Huang Q,Pal N,Yang X

更新日期：2012-03-01 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：: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

abstract：:A system of differential equations for the control of tumor growth cells in a cycle nonspecific chemotherapy is analyzed. Spontaneously acquired drug resistance is taken into account, and a criterion for the selection of chemotherapeutic treatment is used. This criterion purports to describe the possibility of improve...

journal_title：Bulletin of mathematical biology

authors： Costa MI,Boldrini JL

更新日期：1997-03-01 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：:A method for obtaining delay histograms for the time course of neurotransmitter release is presented. The delay histogram is derived from the measured psc (or the sum of several psc's) and the mpsc (obtained experimentally or otherwise) by means of a simple, quick, mathematical procedure. The procedure may be automate...

journal_title：Bulletin of mathematical biology

authors： Aumann Y,Parnas H

更新日期：1991-01-01 00:00:00

abstract：:Cell migration plays an important role in physiology and pathophysiology. It was observed in the experiments that cells, such as fibroblast, leukocytes, and cancer cells, exhibit a wide variety of migratory behaviors, such as persistent random walk, contact inhibition of locomotion, and ordered behaviors. To identify ...

journal_title：Bulletin of mathematical biology

authors： Hassan AR,Biel T,Umulis DM,Kim T

更新日期：2019-08-01 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：:Some organisms maintain a battery of defensive strategies against their exploiters (predators, parasites or parasitoids), while others fail to employ a defence that seems obvious. In this paper, we shall investigate the circumstances under which defence strategies might be expected to evolve. Brood parasites and their...

journal_title：Bulletin of mathematical biology

authors： Britton NF,Planqué R,Franks NR

更新日期：2007-04-01 00:00:00

abstract：:Burst-like synthesis of protein is a significant source of cell-to-cell variability in protein levels. Negative feedback is a common example of a regulatory mechanism by which such stochasticity can be controlled. Here we consider a specific kind of negative feedback, which makes bursts smaller in the excess of protei...

journal_title：Bulletin of mathematical biology

authors： Bokes P,Lin YT,Singh A

更新日期：2018-07-01 00:00:00