Representation of Multiple Cellular Phenotypes Within Tissue-Level Simulations of Cardiac Electrophysiology.

abstract：:Farmers frequently decide where to locate the colonies of their domesticated eusocial bees, especially given the following mutually exclusive scenarios: (i) there are limited nectar and pollen sources within the vicinity of the apiary that cause competition among foragers; and (ii) there are fewer pollinators compared...

journal_title：Bulletin of mathematical biology

authors： Gavina MK,Rabajante JF,Cervancia CR

更新日期：2014-05-01 00:00:00

abstract：:Tandem repeats play many important roles in biological research. However, accurate characterization of their properties is limited by the inability to easily detect them. For this reason, much work has been devoted to developing detection algorithms. A widely used algorithm for detecting tandem repeats is the "tandem ...

journal_title：Bulletin of mathematical biology

authors： Martin DE

更新日期：2006-11-01 00:00:00

abstract：:Fluorescence recovery after photobleaching (FRAP) is used to obtain quantitative information about molecular diffusion and binding kinetics at both cell and tissue levels of organization. FRAP models have been proposed to estimate the diffusion coefficients and binding kinetic parameters of species for a variety of bi...

journal_title：Bulletin of mathematical biology

authors： Lin L,Othmer HG

更新日期：2017-03-01 00:00:00

abstract：:Theoretical and empirical arguments are used to support the growth kinetics of disseminated tumors. Employing viable hypotheses, it is established that Gompertzian growth of disseminated cancer cells can be derived from a number of theoretical considerations. Empirical methods are used to validate and confirm the theo...

journal_title：Bulletin of mathematical biology

authors： Afenya EK,Calderón CP

更新日期：2000-05-01 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：: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 system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Spontaneously acquired drug resistance is accounted for, as well as the evolution in time of normal cells. In addition, optimization of conflicting objectives forms the aim of the chemotherapeutic...

journal_title：Bulletin of mathematical biology

authors： Costa MI,Boldrini JL

更新日期：1997-07-01 00:00:00

abstract：:In this paper, we study quorum sensing in Pseudomonas aeruginosa biofilms. Quorum sensing is a process where bacteria monitor their population density through the release of extra-cellular signalling molecules. The presence of these molecules affects gene modulation leading to changes in behaviour such as the release ...

journal_title：Bulletin of mathematical biology

authors： Vaughan BL Jr,Smith BG,Chopp DL

更新日期：2010-07-01 00:00:00

abstract：:A stochastic SIRS epidemic model with nonlinear incidence rate and varying population size is formulated to investigate the effect of stochastic environmental variability on inter-pandemic transmission dynamics of influenza A. Sufficient conditions for extinction and persistence of the disease are established. In the ...

journal_title：Bulletin of mathematical biology

authors： Li D,Cui J,Liu M,Liu S

更新日期：2015-09-01 00:00:00

abstract：:Bursting electrical activity is ubiquitous in excitable cells such as neurons and many endocrine cells. The technique of fast/slow analysis, which takes advantage of time scale differences, is typically used to analyze the dynamics of bursting in mathematical models. Two classes of bursting oscillations that have been...

journal_title：Bulletin of mathematical biology

authors： Teka W,Tsaneva-Atanasova K,Bertram R,Tabak J

更新日期：2011-06-01 00:00:00

abstract：:To analyze signals measured from human blood flow in the time-frequency domain, we used the wavelet transform which gives good time resolution for high-frequency components and good frequency resolution for low-frequency components. Five characteristic frequency peaks, corresponding to five almost periodic rhythmic ac...

journal_title：Bulletin of mathematical biology

authors： Bracic M,Stefanovska A

更新日期：1998-09-01 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：: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：: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：: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：: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 apparent synchronisation of spatially discrete populations is a well documented phenomenon. However, it is not clear what the governing mechanisms are for this synchrony, and whether they are robust over a range of environmental conditions and patch specific population dynamic behaviours. In this paper, we explore...

journal_title：Bulletin of mathematical biology

authors： Hillary RM,Bees MA

更新日期：2004-11-01 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：: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：: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：:Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be explained by this model. The selection-mutation model has unobservable fitness paramete...

journal_title：Bulletin of mathematical biology

authors： Bayliss CD,Fallaize C,Howitt R,Tretyakov MV

更新日期：2019-03-01 00:00:00

abstract：:Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) ha...

journal_title：Bulletin of mathematical biology

authors： Daukste L,Basse B,Baguley BC,Wall DJ

更新日期：2012-10-01 00:00:00

abstract：:The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods...

journal_title：Bulletin of mathematical biology

authors： Haario H,Kalachev L,Laine M

更新日期：2009-10-01 00:00:00

abstract：:The culmination of the morphogenesis of the cellular slime mould Dictyostelium discoideum involves complex cell movements which transform a mound of cells into a globule of spores on a slender stalk. We show that cyclic AMP signalling and differential adhesion, combined with cell differentiation and slime production, ...

journal_title：Bulletin of mathematical biology

authors： Marée AF,Hogeweg P

更新日期：2002-03-01 00:00:00

abstract：:Cell motility is an essential phenomenon in almost all living organisms. It is natural to think that behavioral or shape changes of a cell bear information about the underlying mechanisms that generate these changes. Reading cell motion, namely, understanding the underlying biophysical and mechanochemical processes, i...

journal_title：Bulletin of mathematical biology

authors： Coskun H,Coskun H

更新日期：2011-03-01 00:00:00

abstract：:A protein fold can be viewed as a self-avoiding walk in certain lattice model, and its contact map is a graph that represents the patterns of contacts in the fold. Goldman, Istrail, and Papadimitriou showed that a contact map in the 2D square lattice can be decomposed into at most two stacks and one queue. In the term...

journal_title：Bulletin of mathematical biology

authors： Guo QH,Sun LH,Wang J

更新日期：2017-01-01 00:00:00

abstract：:The normal process of dermal wound healing fails in some cases, due to fibro-proliferative disorders such as keloid and hypertrophic scars. These types of abnormal healing may be regarded as pathologically excessive responses to wounding in terms of fibroblastic cell profiles and their inflammatory growth-factor media...

journal_title：Bulletin of mathematical biology

authors： Olsen L,Sherratt JA,Maini PK

更新日期：1996-07-01 00:00:00

abstract：:The insertion-deletion model developed by Thorne, Kishino and Felsenstein (1991, J. Mol. Evol., 33, 114-124; the TKF91 model) provides a statistical framework of two sequences. The statistical alignment of a set of sequences related by a star tree is a generalization of this model. The known algorithm computes the pro...

journal_title：Bulletin of mathematical biology

authors： Miklós I

更新日期：2002-07-01 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：: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