Behavioural interactions selecting for symmetry and asymmetry in sexual reproductive systems of eusocial species.

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 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：: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：: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：: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：:Cholera is an acute gastro-intestinal infection that affects millions of people throughout the world each year, primarily but not exclusively in developing countries. Because of its public health ramifications, considerable mathematical attention has been paid to the disease. Here we consider one neglected aspect of c...

journal_title：Bulletin of mathematical biology

authors： Kobe J,Pritchard N,Short Z,Erovenko IV,Rychtář J,Rowell JT

更新日期：2018-10-01 00:00:00

abstract：:In contrast to their name, biofilms are not always flat and homogeneous but instead often exhibit complex structural heterogeneity. It has been suggested that nonhomogeneous geometry is selected in order to increase biofilm growth rate. A previous study (Dockery and Klapper (2002) SIAM J. Appl. Math., 62, 853-869) of ...

journal_title：Bulletin of mathematical biology

authors： Klapper I

更新日期：2004-07-01 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：: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：:To investigate morphogenesis and in particular circularization mechanisms in young mycelia, we observe cultures of the zygomycete Mucor spinosus and develop discrete models of two-dimensional filamental branching growth. The models are based on the hypothesis that the fungus secretes a regulatory substance that diffus...

journal_title：Bulletin of mathematical biology

authors： Indermitte C,Liebling M,Clémençon H

更新日期：1994-07-01 00:00:00

abstract：:In phylogenetics, a common strategy used to construct an evolutionary tree for a set of species [Formula: see text] is to search in the space of all such trees for one that optimizes some given score function (such as the minimum evolution, parsimony or likelihood score). As this can be computationally intensive, it w...

journal_title：Bulletin of mathematical biology

authors： Bastkowski S,Moulton V,Spillner A,Wu T

更新日期：2015-01-01 00:00:00

abstract：:Analytical methods for predicting and exploring the dynamics of stochastic, spatially interacting populations have proven to have useful application in epidemiology and ecology. An important development has been the increasing interest in spatially explicit models, which require more advanced analytical techniques tha...

journal_title：Bulletin of mathematical biology

authors： Filipe JA,Gibson GJ

更新日期：2001-07-01 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：:We describe and analyze a periodically-forced difference equation model for malaria in mosquitoes that captures the effects of seasonality and allows the mosquitoes to feed on a heterogeneous population of hosts. We numerically show the existence of a unique globally asymptotically stable periodic orbit and calculate ...

journal_title：Bulletin of mathematical biology

authors： Chitnis N,Hardy D,Smith T

更新日期：2012-05-01 00:00:00

abstract：:Over the last 25 years, reforms in undergraduate biology education have transformed the way biology is taught at many institutions of higher education. This has been fueled in part by a burgeoning discipline-based education research community, which has advocated for evidence-based instructional practices based on fin...

journal_title：Bulletin of mathematical biology

authors： Aikens ML

更新日期：2020-05-13 00:00:00

abstract：:In this paper, we present a mathematical model describing the effect of polar lipids, excreted by glands in the eyelid and present on the surface of the tear film, on the evolution of a pre-corneal tear film. We aim to explain the interesting experimentally observed phenomenon that the tear film continues to move upwa...

journal_title：Bulletin of mathematical biology

authors： Aydemir E,Breward CJ,Witelski TP

更新日期：2011-06-01 00:00:00

abstract：:Mathematical models have been used to simulate HIV transmission and to study the use of preexposure prophylaxis (PrEP) for HIV prevention. Often a single intervention outcome over 10 years has been used to evaluate the effectiveness of PrEP interventions. However, different metrics express a wide variation over time a...

journal_title：Bulletin of mathematical biology

authors： Zhao Y,Dimitrov DT,Liu H,Kuang Y

更新日期：2013-04-01 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：:The discovery of circular DNA, over 30 years ago, introduced an element of uneasiness in what had been, up to that point, the almost picture-perfect story of the elucidation of the molecular biology of heredity. If DNA indeed has the Watson-Crick right-handed helical secondary structure, then in circular DNA, thousand...

journal_title：Bulletin of mathematical biology

authors： Biegeleisen K

更新日期：2002-05-01 00:00:00

abstract：:Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although many mathematical models have been developed to describe the formation of blood capillaries (angiogenesis), very few have been proposed for...

journal_title：Bulletin of mathematical biology

authors： Bianchi A,Painter KJ,Sherratt JA

更新日期：2016-09-01 00:00:00

abstract：:Here, we consider a game-theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in which individuals are best off cheating, while groups of individuals do best whe...

journal_title：Bulletin of mathematical biology

authors： Cooney DB

更新日期：2020-05-30 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：:A significant conceptual difficulty in the use of switching systems to model regulatory networks is the presence of so-called "black walls," co-dimension 1 regions of phase space with a vector field pointing inward on both sides of the hyperplane. Black walls result from the existence of direct negative self-regulatio...

journal_title：Bulletin of mathematical biology

authors： Fan G,Cummins B,Gedeon T

更新日期：2016-06-01 00:00:00

abstract：:In developmental biology as well as in other biological systems, emerging structure and organization can be captured using time-series data of protein locations. In analyzing this time-dependent data, it is a common challenge not only to determine whether topological features emerge, but also to identify the timing of...

journal_title：Bulletin of mathematical biology

authors： Ciocanel MV,Juenemann R,Dawes AT,McKinley SA

更新日期：2021-01-16 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：:In this paper we formulate a multi-patch multi-species model in which the per-capita emigration rate of one species depends on the density of some other species. We then focus on Turing instability to examine if and when this cross-emigration response has crucial effects. We find that the type of interaction matters g...

journal_title：Bulletin of mathematical biology

authors： Huang Y,Diekmann O

更新日期：2003-01-01 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 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：:We propose a deterministic continuum model for mixed-culture biofilms. A crucial aspect is that movement of one species is affected by the presence of the other. This leads to a degenerate cross-diffusion system that generalizes an earlier single-species biofilm model. Two derivations of this new model are given. One,...

journal_title：Bulletin of mathematical biology

authors： Rahman KA,Sudarsan R,Eberl HJ

更新日期：2015-11-01 00:00:00

abstract：:A mathematical model for the plant-pollinator-robber interaction is studied to understand the factors leading to the widespread occurrence and stability of such interactions. In the interaction, a flowering plant provides resource for its pollinator and the pollinator has both positive and negative effects on the plan...

journal_title：Bulletin of mathematical biology

authors： Wang Y,DeAngelis DL,Holland JN

更新日期：2012-09-01 00:00:00