A model of NMDA receptor control of F-actin treadmilling in synaptic spines and their growth.

abstract：:We explore the dynamics of invasive weeds by partial differential equation (PDE) modelling and applying dynamical system and phase portrait techniques. We begin by applying the method of characteristics to a preexisting PDE model of the spreading of T. fluminensis, an invasive weed which has been responsible for nativ...

journal_title：Bulletin of mathematical biology

authors： Ramaj T

更新日期：2021-01-07 00:00:00

abstract：:This work aims to examine the global behavior of a Gause type predator-prey model considering two aspects: (i) the functional response is Holling type III and, (ii) the prey growth is affected by the Allee effect. We prove the origin of the system is an attractor equilibrium point for all parameter values. It has also...

journal_title：Bulletin of mathematical biology

authors： González-Olivares E,Rojas-Palma A

更新日期：2011-06-01 00:00:00

abstract：:The tumour suppressor gene, p53, plays an important role in tumour development. Under low levels of oxygen (hypoxia), cells expressing wild-type p53 undergo programmed cell death (apoptosis), whereas cells expressing mutations in the p53 gene may survive and express angiogenic growth factors that stimulate tumour vasc...

journal_title：Bulletin of mathematical biology

authors： Gammack D,Byrne HM,Lewis CE

更新日期：2001-01-01 00:00:00

abstract：:In this paper, we present a model that explains the prepatterning of lymphatic vessel morphology in collagen gels. This model is derived using the theory of two phase rubber material due to Flory and coworkers and it consists of two coupled fourth order partial differential equations describing the evolution of the co...

journal_title：Bulletin of mathematical biology

authors： Roose T,Fowler AC

更新日期：2008-08-01 00:00:00

abstract：:Mathematical modeling is a powerful tool for unraveling the complexities of the molecular regulatory networks underlying all aspects of cell physiology. To support this claim, we review our experiences modeling the cyclin-dependent kinase (CDK) network that controls events of the eukaryotic cell cycle. The model was d...

journal_title：Bulletin of mathematical biology

authors： Tyson JJ,Novak B

更新日期：2015-05-01 00:00:00

abstract：:Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple signaling cascade consisting of n layers of modification cycles such that the modi...

journal_title：Bulletin of mathematical biology

authors： Feliu E,Knudsen M,Andersen LN,Wiuf C

更新日期：2012-01-01 00:00:00

abstract：:The nonlinear response of the simplest irreversible Michaelis-Menten enzyme is considered. In the context of metabolic networks, i.e. in vivo, the enzyme is subject to sustained, frequently time-dependent, input fluxes that keep the system out of equilibrium. The connection between the fluxes and the response is inves...

journal_title：Bulletin of mathematical biology

authors： Torralba AS,Rodríguez Y

更新日期：2006-08-01 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：: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：: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：:The mutation process is introduced into the colored coalescent theory. The mutation process can be viewed as an independent Poisson process running on the colored genealogical random tree generated by the colored coalescent process, with the edge lengths of the random tree serving as the time scale for the mutation pr...

journal_title：Bulletin of mathematical biology

authors： Tian JP,Lin XS

更新日期：2009-11-01 00:00:00

abstract：:At least four distinct lineages of CD4+ T cells play diverse roles in the immune system. Both in vivo and in vitro, naïve CD4+ T cells often differentiate into a variety of cellular phenotypes. Previously, we developed a mathematical framework to study heterogeneous differentiation of two lineages governed by a mutual...

journal_title：Bulletin of mathematical biology

authors： Hong T,Oguz C,Tyson JJ

更新日期：2015-06-01 00:00:00

abstract：:In a companion paper (Lof et al., in Bull. Math. Biol., 2008), we describe a spatio-temporal model for insect behavior. This model includes chemical information for finding resources and conspecifics. As a model species, we used Drosophila melanogaster, because its behavior is documented comparatively well. We divide ...

journal_title：Bulletin of mathematical biology

authors： de Gee M,Lof ME,Hemerik L

更新日期：2008-10-01 00:00:00

abstract：:Human T-cell lymphotropic virus type I (HTLV-I) infection in humans causes a chronic infection of CD4+ T cells, and is associated with various disease outcomes, among them with the development of adult T-cell leukemia (ATL). The T-cell dynamics after HTLV-I infection can be described in a mathematical model with coupl...

journal_title：Bulletin of mathematical biology

authors： Stilianakis NI,Seydel J

更新日期：1999-09-01 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：:The asymptotes and transition points of the net CO2 assimilation (A/Ci) rate curves of the steady-state Farquhar-von Caemmerer-Berry (FvCB) model for leaf photosynthesis of C3 plants are examined in a theoretical study, which begins from the exploration of the standard equations of hyperbolae after rotating the coordi...

journal_title：Bulletin of mathematical biology

authors： Miranda-Apodaca J,Marcos-Barbero EL,Morcuende R,Arellano JB

更新日期：2019-12-23 00:00:00

abstract：:Mechanical cell competition is important during tissue development, cancer invasion, and tissue ageing. Heterogeneity plays a key role in practical applications since cancer cells can have different cell stiffness and different proliferation rates than normal cells. To study this phenomenon, we propose a one-dimension...

journal_title：Bulletin of mathematical biology

authors： Murphy RJ,Buenzli PR,Baker RE,Simpson MJ

更新日期：2020-09-26 00:00:00

abstract：:The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical immunology. In turn, this has led to the development of new mathematical models to investigate qualitatively and quantitatively various open questions in immunology. In this s...

journal_title：Bulletin of mathematical biology

authors： Eftimie R,Gillard JJ,Cantrell DA

更新日期：2016-10-01 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：: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

abstract：:In Xenopus and Drosophila, the nucleocytoplasmic ratio controls many aspects of cell-cycle remodeling during the transitory period that leads from fast and synchronous cell divisions of early development to the slow, carefully regulated growth and divisions of somatic cells. After the fifth cleavage in sea urchin embr...

journal_title：Bulletin of mathematical biology

authors： Ciliberto A,Tyson JJ

更新日期：2000-01-01 00:00:00

abstract：:Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for both carbohydrates and fats, around all tissues of the body. Insulin...

journal_title：Bulletin of mathematical biology

authors： Pearson T,Wattis JA,King JR,MacDonald IA,Mazzatti DJ

更新日期：2016-06-01 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：:The comprehension of activities and functions of complex brain structures requires, among other things, information on simultaneous activities in several regions. Results reported in the literature using multi(micro/macro)electrode recordings or imaging techniques provide incomplete information due either to the small...

journal_title：Bulletin of mathematical biology

authors： Ventriglia F

更新日期：1998-03-01 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：: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：:A two-dimensional model for red blood cell motion is adapted to consider the dynamics of breast cancer cells in a microfluidic channel. Adjusting parameters to make the membrane stiffer, as is the case with breast cancer cells compared with red blood cells, allows the model to produce reasonable estimates of breast ca...

journal_title：Bulletin of mathematical biology

authors： Barber J,Zhu L

更新日期：2019-04-01 00:00:00

abstract：:Preserving a system's viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or f...

journal_title：Bulletin of mathematical biology

authors： Kareva I,Morin B,Castillo-Chavez C

更新日期：2015-02-01 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：:Bacterial quorum sensing (QS) is a form of intercellular communication that relies on the production and detection of diffusive signaling molecules called autoinducers. Such a mechanism allows the bacteria to track their cell density in order to regulate group behavior, such as biofilm formation and bioluminescence. I...

journal_title：Bulletin of mathematical biology

authors： Fan G,Bressloff PC

更新日期：2019-05-01 00:00:00