From plateau to pseudo-plateau bursting: making the transition.

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：: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：: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：:Doxorubicin treatment outcomes for non-Hodgkin's lymphomas (NHL) are mathematically modelled and computationally analyzed. The NHL model includes a tumor structure incorporating mature and immature vessels, vascular structural adaptation and NHL cell-cycle kinetics in addition to Doxorubicin pharmacokinetics (PK) and ...

journal_title：Bulletin of mathematical biology

authors： Ribba B,Marron K,Agur Z,Alarcón T,Maini PK

更新日期：2005-01-01 00:00:00

abstract：:A mathematical model (Kliemann, W. 1987. Bull. math. Biol. 49, 135-152.) that predicts the quantitative branching pattern of dendritic tree was evaluated using the apical and basal dendrites of rat hippocampal neurons. The Wald statistic for chi 2-test was developed for the branching pattern of dendritic trees and for...

journal_title：Bulletin of mathematical biology

authors： Carriquiry AL,Ireland WP,Kliemann W,Uemura E

更新日期：1991-01-01 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：: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：: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：:Nosocomial outbreaks of bacteria are well documented. Based on these incidents, and the heavy usage of antibiotics in hospitals, it has been assumed that antibiotic resistance evolves in hospital environments. To test this assumption, we studied resistance phenotypes of bacteria collected from patient isolates at a co...

journal_title：Bulletin of mathematical biology

authors： Seigal A,Mira P,Sturmfels B,Barlow M

更新日期：2017-01-01 00:00:00

abstract：:We describe a new model for laser-induced retinal damage. Our treatment is prompted by the failure of the traditional approach to accurately describe the image size dependence of laser-induced retinal injuries and by a recently reported study which demonstrated that laser injuries to the retina might not appear for up...

journal_title：Bulletin of mathematical biology

authors： Till SJ,Till J,Milsom PK,Rowlands G

更新日期：2003-07-01 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：:It has been recently observed that the dynamical properties of mass action systems arising from many models of biochemical reaction networks can be characterized by considering the corresponding properties of a related generalized mass action system. The correspondence process known as network translation in particula...

journal_title：Bulletin of mathematical biology

authors： Johnston MD

更新日期：2015-06-01 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：:Spatial interactions are key determinants in the dynamics of many epidemiological and ecological systems; therefore it is important to use spatio-temporal models to estimate essential parameters. However, spatially-explicit data sets are rarely available; moreover, fitting spatially-explicit models to such data can be...

journal_title：Bulletin of mathematical biology

authors： Filipe JA,Otten W,Gibson GJ,Gilligan CA

更新日期：2004-03-01 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：:A kinetic model is proposed to delineate the factors that determine the coronary reactive hyperemic response (RHR) to transient ischemia. The model comprises of myocardial-interstitial (M) and vascular (V) compartments. Vasodilator metabolites (VM) are produced in the M compartment during the interval of coronary occl...

journal_title：Bulletin of mathematical biology

authors： Wong AY

更新日期：1995-01-01 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：: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

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：: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：:Classical evolutionary game theory (EGT) focuses on competition among phenotypes while assuming asexual transmission of these phenotypes to the next generation. However, phenotypic selection and sexual recombination are not necessarily mutually reinforcing in populations with sexual reproduction. In particular, it has...

journal_title：Bulletin of mathematical biology

authors： Fishman MA

更新日期：2020-02-06 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：:In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth o...

journal_title：Bulletin of mathematical biology

authors： Duncan SJ,Daly KR,McKay Fletcher DM,Ruiz S,Sweeney P,Roose T

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：: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：: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：:First generation HIV vaccines may have limited ability to prevent infection. Instead, they may delay the onset of AIDS or reduce the infectiousness of vaccinated individuals who become infected. To assess the population level effects of such a vaccine, we formulate a deterministic model for the spread of HIV in a homo...

journal_title：Bulletin of mathematical biology

authors： Rida W,Sandberg S

更新日期：2009-04-01 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：:Although imatinib is an effective treatment for chronic myelogenous leukemia (CML), and nearly all patients treated with imatinib attain some form of remission, imatinib does not completely eliminate leukemia. Moreover, if the imatinib treatment is stopped, most patients eventually relapse (Cortes et al. in Clin. Canc...

journal_title：Bulletin of mathematical biology

authors： Paquin D,Kim PS,Lee PP,Levy D

更新日期：2011-05-01 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