Comparative kinetics of embryo development.

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：: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：: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：:We develop an age-structured ODE model to investigate the role of intermittent preventive treatment (IPT) in averting malaria-induced mortality in children, and its related cost in promoting the spread of antimalarial drug resistance. IPT, a malaria control strategy in which a full curative dose of an antimalarial med...

journal_title：Bulletin of mathematical biology

authors： Manore CA,Teboh-Ewungkem MI,Prosper O,Peace A,Gurski K,Feng Z

更新日期：2019-01-01 00:00:00

abstract：:Knowledge about large-scale and long-term dynamics of (natural) populations is required to assess the efficiency of control strategies, the potential for long-term persistence, and the adaptability to global changes such as habitat fragmentation and global warming. For most natural populations, such as pest population...

journal_title：Bulletin of mathematical biology

authors： Soubeyrand S,Neuvonen S,Penttinen A

更新日期：2009-02-01 00:00:00

abstract：:To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundan...

journal_title：Bulletin of mathematical biology

authors： Grafton RQ,Kompas T,Lindenmayer D

更新日期：2005-09-01 00:00:00

abstract：:The tumor promoter, phorbol 12-myristate 13-acetate (PMA), affects the processing of fluid that enters a cell from the ambient medium. Previous work showed that marker accumulates to a higher level in PMA-treated than in untreated cells. Since PMA also affects the physical activity of the membrane and stimulates the n...

journal_title：Bulletin of mathematical biology

authors： Heckman CA,Runyeon CS,Wade JG,Seubert S

更新日期：2001-05-01 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：: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：: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：: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：:In order to understand the role of space in ecological communities where each species produces a certain type of resource and has varying abilities to exploit the resources produced by its own species and by the other species, we carry out a comparative study of an interacting particle system and its mean-field approx...

journal_title：Bulletin of mathematical biology

authors： Kang Y,Lanchier N

更新日期：2012-01-01 00:00:00

abstract：:Chemical reactions are discrete, stochastic events. As such, the species' molecular numbers can be described by an associated master equation. However, handling such an equation may become difficult due to the large size of reaction networks. A commonly used approach to forecast the behaviour of reaction networks is t...

journal_title：Bulletin of mathematical biology

authors： López-Caamal F,Marquez-Lago TT

更新日期：2014-09-01 00:00:00

abstract：:We develop a model for describing the dynamics of imatinib-treated chronic myelogenous leukemia. Our model is based on replacing the recent agent-based model of Roeder et al. (Nat. Med. 12(10):1181-1184, 2006) by a system of deterministic difference equations. These difference equations describe the time-evolution of ...

journal_title：Bulletin of mathematical biology

authors： Kim PS,Lee PP,Levy D

更新日期：2008-04-01 00:00:00

abstract：:This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be visc...

journal_title：Bulletin of mathematical biology

authors： Edwards CM,Chapman SJ

更新日期：2007-08-01 00:00:00

abstract：:Integrins mediate cell adhesion and are essential receptors for the development and functioning of multicellular organisms. Integrin activation is known to require both ligand and talin binding and to correlate with cluster formation but the activation mechanism and precise roles of these processes are not yet resolve...

journal_title：Bulletin of mathematical biology

authors： Iber D,Campbell ID

更新日期：2006-05-01 00:00:00

abstract：:Mathematical modeling is an important tool to assessing quantitative conjectures and to answer specific questions. In the modeling, we assume that a competitor represented by a lactic acid bacterium produces antimicrobial compounds (substances that kill microorganisms or inhibit their growth), such as lactic acid and ...

journal_title：Bulletin of mathematical biology

authors： Delboni RR,Yang HM

更新日期：2017-07-01 00:00:00

abstract：:Cell polarization is an important part of the response of eukaryotic cells to stimuli, and forms a primary step in cell motility, differentiation, and many cellular functions. Among the important biochemical players implicated in the onset of intracellular asymmetries that constitute the early phases of polarization a...

journal_title：Bulletin of mathematical biology

authors： Walther GR,Marée AF,Edelstein-Keshet L,Grieneisen VA

更新日期：2012-11-01 00:00:00

abstract：:National Bureau of Statistics of China reports that the incidence of schistosomiasis has been increasing in recent years. To study dynamic behaviors of schistosomiasis transmission, based on practical experience of staff in Anhui Institute of Schistosomiasis, a mathematical schistosomiasis model with reinfection of re...

journal_title：Bulletin of mathematical biology

authors： Qi L,Xue M,Cui JA,Wang Q,Wang T

更新日期：2018-09-01 00:00:00

abstract：:Many aquatic organisms detect the presence of moving objects in their environment, such as predators, by sensing the hydrodynamic disturbances the movements produce. The resultant water flow is readily detectable by stationary organisms, but free-swimming organisms are carried with the surrounding water and may not de...

journal_title：Bulletin of mathematical biology

authors： Takagi D,Hartline DK

更新日期：2018-01-01 00:00:00

abstract：:Synchronization and desynchronization is of great interest in the study of circadian rhythms, metabolic oscillations and time-dependent cell aggregate behaviors. Several recent studies examine synchronization and other dynamics in models of repressilators coupled by a quorum sensing mechanism that uses a diffusive sig...

journal_title：Bulletin of mathematical biology

authors： Gedeon T,Pernarowski M,Wilander A

更新日期：2016-06-01 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：:Systemic chemotherapy is one of the main anticancer treatments used for most kinds of clinically diagnosed tumors. However, the efficacy of these drugs can be hampered by the physical attributes of the tumor tissue, such as tortuous vasculature, dense and fibrous extracellular matrix, irregular cellular architecture, ...

journal_title：Bulletin of mathematical biology

authors： Karolak A,Rejniak KA

更新日期：2019-09-01 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：:There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a relation between a calc...

journal_title：Bulletin of mathematical biology

authors： Shoucri RM,Rouleau JR,Kingma JG Jr,Dumesnil JG,Dagenais GR

更新日期：1989-01-01 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：: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：: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

abstract：:A method for obtaining delay histograms for the time course of neurotransmitter release is presented. The delay histogram is derived from the measured psc (or the sum of several psc's) and the mpsc (obtained experimentally or otherwise) by means of a simple, quick, mathematical procedure. The procedure may be automate...

journal_title：Bulletin of mathematical biology

authors： Aumann Y,Parnas H

更新日期：1991-01-01 00:00:00

abstract：:In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of can...

journal_title：Bulletin of mathematical biology

authors： Collis J,Connor AJ,Paczkowski M,Kannan P,Pitt-Francis J,Byrne HM,Hubbard ME

更新日期：2017-04-01 00:00:00