The effect of solution non-ideality on membrane transport in three-dimensional models of the renal concentrating mechanism.

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：:DNA and protein sequence comparisons are performed by a number of computational algorithms. Most of these algorithms search for the alignment of two sequences that optimizes some alignment score. It is an important problem to assess the statistical significance of a given score. In this paper we use newly developed me...

journal_title：Bulletin of mathematical biology

authors： Goldstein L,Waterman MS

更新日期：1992-09-01 00:00:00

abstract：:Studies have been done using networks to represent the spread of infectious diseases in populations. For diseases with exposed individuals corresponding to a latent period, an SEIR model is formulated using an edge-based approach described by a probability generating function. The basic reproduction number is computed...

journal_title：Bulletin of mathematical biology

authors： Alota CP,Pilar-Arceo CPC,de Los Reyes V AA

更新日期：2020-07-16 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：:Developing a quantitative science of sustainability requires bridging mathematical concepts from fields contributing to sustainability science. The concept of substitutability is central to sustainability but is defined differently by different fields. Specifically, economics tends to define substitutability as a marg...

journal_title：Bulletin of mathematical biology

authors： Fenichel EP,Zhao J

更新日期：2015-02-01 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：: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：: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：:A coupled model is presented for simulating physical and biological dynamics in fresh water lakes. The physical model rests upon the assumption that the turbulent kinetic energy in a water column of the lake is fully contained in a mixed layer of variable depth. Below this layer the mechanical energy content is assume...

journal_title：Bulletin of mathematical biology

authors： Franke U,Hutter K,Jöhnk K

更新日期：1999-03-01 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：: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：:We present an improved mathematical model of population dynamics of mosquito-borne disease transmission. Our model considers the effect of mosquito repellent use and the mosquito's behavior or attraction to the infected human, which cause mosquitoes' biased distribution around the human population. Our analysis of the...

journal_title：Bulletin of mathematical biology

authors： Aldila D,Seno H

更新日期：2019-12-01 00:00:00

abstract：:The accuracy of the Fitch method for reconstructing ancestral states on ultrametric phylogenetic trees is studied. Two recurrence relations for computing the accuracy are given here. Using these relations, we analyze the convergence of the accuracy of the Fitch method for reconstructing the root state on a complete bi...

journal_title：Bulletin of mathematical biology

authors： Zhang L,Shen J,Yang J,Li G

更新日期：2010-10-01 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：:It is well established that in problems featuring slow passage through a Hopf bifurcation (dynamic Hopf bifurcation) the transition to large-amplitude oscillations may not occur until the slowly changing parameter considerably exceeds the value predicted from the static Hopf bifurcation analysis (temporal delay effect...

journal_title：Bulletin of mathematical biology

authors： Bilinsky LM,Baer SM

更新日期：2018-01-01 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：: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：:A semi-empirical model applicable to the flow of blood and other particulate suspensions through narrow tubes has been developed. It envisages a central core of blood surrounded by a wall layer of reduced hematocrit. With the help of this model the wall layer thickness and extent of plug flow may be calculated using p...

journal_title：Bulletin of mathematical biology

authors： Das RN,Seshadri V

更新日期：1975-10-01 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：:The surface protein B7-H1, also called PD-L1 and CD274, is found on carcinomas of the lung, ovary, colon, and melanomas but not on most normal tissues. B7-H1 has been experimentally determined to be an antiapoptotic receptor on cancer cells, where B7-H1-positive cancer cells have been shown to be immune resistant, and...

journal_title：Bulletin of mathematical biology

authors： Galante A,Tamada K,Levy D

更新日期：2012-01-01 00:00:00

abstract：:The mammalian kidney consumes a large amount of energy to support the reabsorptive work it needs to excrete metabolic wastes and to maintain homeostasis. Part of that energy is supplied via the metabolism of glucose. To gain insights into the transport and metabolic processes in the kidney, we have developed a detaile...

journal_title：Bulletin of mathematical biology

authors： Chen Y,Fry BC,Layton AT

更新日期：2016-06-01 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：: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：:We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent. The optimization method works for a general ODE system and...

journal_title：Bulletin of mathematical biology

authors： Castiglione F,Piccoli B

更新日期：2006-02-01 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：:In this paper we attack the problem of understanding the localization of the main structures involved in the motor circadian rhythm of crayfish by analysing its ontogeny. We present experimental results giving the properties of this rhythm in young and adult crayfish. Then we construct a mathematical model (based on a...

journal_title：Bulletin of mathematical biology

authors： Fuentes-Pardo B,Lara-Aparicio M,López de Medrano S

更新日期：2001-03-01 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：: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：: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：:We study the global stability of a class of models for in-vivo virus dynamics that take into account the Cytotoxic T Lymphocyte immune response and display antigenic variation. This class includes a number of models that have been extensively used to model HIV dynamics. We show that models in this class are globally a...

journal_title：Bulletin of mathematical biology

authors： Souza MO,Zubelli JP

更新日期：2011-03-01 00:00:00