On the long-term fitness of cells in periodically switching environments.

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：: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：: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：:Identifiability concerns finding which unknown parameters of a model can be estimated, uniquely or otherwise, from given input-output data. If some subset of the parameters of a model cannot be determined given input-output data, then we say the model is unidentifiable. In this work, we study linear compartment models...

journal_title：Bulletin of mathematical biology

authors： Meshkat N,Sullivant S,Eisenberg M

更新日期：2015-08-01 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：:Two algorithms for the efficient identification of segment neighborhoods are presented. A segment neighborhood is a set of contiguous residues that share common features. Two procedures are developed to efficiently find estimates for the parameters of the model that describe these features and for the residues that de...

journal_title：Bulletin of mathematical biology

authors： Auger IE,Lawrence CE

更新日期：1989-01-01 00:00:00

abstract：:We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...

journal_title：Bulletin of mathematical biology

authors： van den Driessche P,Yakubu AA

更新日期：2019-11-01 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：: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：:We present a multi-scale computer simulator of cancer progression at the tumoral level, from avascular stage growth, through the transition from avascular to vascular growth (neo-vascularization), and into the later stages of growth and invasion of normal tissue. We use continuum scale reaction-diffusion equations for...

journal_title：Bulletin of mathematical biology

authors： Zheng X,Wise SM,Cristini V

更新日期：2005-03-01 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：: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：: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：: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：:Microtubules (MTs) are protein filaments found in all eukaryotic cells which are crucial for many cellular processes including cell movement, cell differentiation, and cell division. Due to their role in cell division, they are often used as targets for chemotherapy drugs used in cancer treatment. Experimental studies...

journal_title：Bulletin of mathematical biology

authors： Honoré S,Hubert F,Tournus M,White D

更新日期：2019-03-01 00:00:00

abstract：:A rather complete model of the gluconeogenic pathway was used, with the known separate pools of mitochondrial and cytosolic oxalacetate, malate and aspartate. The fumarase, malate dehydrogenase and glutamate oxalacetate transaminase reactions were assumed to be isotopically actively reversible, but none at isotopic eq...

journal_title：Bulletin of mathematical biology

authors： Rognstad R

更新日期：1995-07-01 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：:Previous models of the renal concentrating mechanism employ ideal approximations of solution thermodynamics for membrane transport calculation. In three-dimensional models of the renal medulla, predicted urine concentrations reach levels where these idealized approximations begin to break down. In this paper we derive...

journal_title：Bulletin of mathematical biology

authors： Wang X,Wexler AS,Marsh DJ

更新日期：1994-05-01 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：:Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic ou...

journal_title：Bulletin of mathematical biology

authors： Lundh T,Gerlee P

更新日期：2013-05-01 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：:Biological invasion is an important area of research in mathematical biology and more so if it concerns species which are vectors for diseases threatening the public health of large populations. That is certainly the case for Aedes aegypti and the dengue epidemics in South America. Without the prospect of an effective...

journal_title：Bulletin of mathematical biology

authors： Takahashi LT,Maidana NA,Ferreira WC Jr,Pulino P,Yang HM

更新日期：2005-05-01 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：: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：: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：:The multifractal analysis of binary images of DNA is studied in order to define a methodological approach to the classification of DNA sequences. This method is based on the computation of some multifractality parameters on a suitable binary image of DNA, which takes into account the nucleotide distribution. The binar...

journal_title：Bulletin of mathematical biology

authors： Cattani C,Pierro G

更新日期：2013-09-01 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：: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：:This study investigates fluid flow and elastic deformation in tissues that are drained by the primary lymphatic system. A model is formulated based on the Rossi hypothesis that states that the primary lymphatic valves, which are formed by overlapping endothelial cells around the circumferential lining of lymphatic cap...

journal_title：Bulletin of mathematical biology

authors： Heppell C,Roose T,Richardson G

更新日期：2015-06-01 00:00:00

abstract：:In this paper a general deterministic discrete-time metapopulation model with a finite number of habitat patches is analysed within the framework of adaptive dynamics. We study a general model and prove analytically that (i) if the resident populations state is a fixed point, then the resident strategy with no migrati...

journal_title：Bulletin of mathematical biology

authors： Parvinen K

更新日期：1999-05-01 00:00:00