Susceptibilities of an irreversible Michaelis-Menten enzyme.

abstract：:Burst-like synthesis of protein is a significant source of cell-to-cell variability in protein levels. Negative feedback is a common example of a regulatory mechanism by which such stochasticity can be controlled. Here we consider a specific kind of negative feedback, which makes bursts smaller in the excess of protei...

journal_title：Bulletin of mathematical biology

authors： Bokes P,Lin YT,Singh A

更新日期：2018-07-01 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：: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：:Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypo...

journal_title：Bulletin of mathematical biology

authors： Wentz JM,Mendenhall AR,Bortz DM

更新日期：2018-10-01 00:00:00

abstract：:A stochastic evolutionary dynamics of two strategies given by 2x 2 matrix games is studied in finite populations. We focus on stochastic properties of fixation: how a strategy represented by a single individual wins over the entire population. The process is discussed in the framework of a random walk with site depend...

journal_title：Bulletin of mathematical biology

authors： Antal T,Scheuring I

更新日期：2006-11-01 00:00:00

abstract：:Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusio...

journal_title：Bulletin of mathematical biology

authors： Johnson SD

更新日期：2010-01-01 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 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 investigate the existence of oscillatory dynamics and multiple steady-state flow rates in a network with a simple topology and in vivo microvascular blood flow constitutive laws. Unlike many previous analytic studies, we employ the most biologically relevant models of the physical properties of whole blood. Through...

journal_title：Bulletin of mathematical biology

authors： Karst NJ,Storey BD,Geddes JB

更新日期：2015-07-01 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：: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：:In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions...

journal_title：Bulletin of mathematical biology

authors： Le Sech C,Capderou A

更新日期：1996-11-01 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：:A model employing separate dose-dependent response functions for proliferation and differentiation of idiotypically interacting B cell clones is presented. For each clone the population dynamics of proliferating B cells, non-proliferating B cells and free antibodies are considered. An effective response function, whic...

journal_title：Bulletin of mathematical biology

authors： Sulzer B,van Hemmen JL,Neumann AU,Behn U

更新日期：1993-11-01 00:00:00

abstract：:Bacillus subtilis cells may opt to forgo normal cell division and instead form spores if subjected to certain environmental stimuli, for example nutrient deficiency or extreme temperature. The resulting spores are extremely resilient and can survive for extensive periods of time, importantly under particularly harsh c...

journal_title：Bulletin of mathematical biology

authors： Jabbari S,Heap JT,King JR

更新日期：2011-01-01 00:00:00

abstract：:We study crossflow filtration mechanisms in suspension-feeding fishes using computational fluid dynamics to model fluid flow and food particle movement in the vicinity of the gill rakers. During industrial and biological crossflow filtration, particles are retained when they remain suspended in the mainstream flow tra...

journal_title：Bulletin of mathematical biology

authors： Cheer A,Cheung S,Hung TC,Piedrahita RH,Sanderson SL

更新日期：2012-04-01 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：:Some organisms maintain a battery of defensive strategies against their exploiters (predators, parasites or parasitoids), while others fail to employ a defence that seems obvious. In this paper, we shall investigate the circumstances under which defence strategies might be expected to evolve. Brood parasites and their...

journal_title：Bulletin of mathematical biology

authors： Britton NF,Planqué R,Franks NR

更新日期：2007-04-01 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：:For epidemic models, it is shown that fatal infectious diseases cannot drive the host population into extinction if the incidence function is upper density-dependent. This finding holds even if a latency period is included and the time from infection to disease-induced death has an arbitrary length distribution. Howev...

journal_title：Bulletin of mathematical biology

authors： Farrell AP,Collins JP,Greer AL,Thieme HR

更新日期：2018-07-01 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：: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：: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：:Over the last 25 years, reforms in undergraduate biology education have transformed the way biology is taught at many institutions of higher education. This has been fueled in part by a burgeoning discipline-based education research community, which has advocated for evidence-based instructional practices based on fin...

journal_title：Bulletin of mathematical biology

authors： Aikens ML

更新日期：2020-05-13 00:00:00

abstract：:In special coordinates (codon position-specific nucleotide frequencies), bacterial genomes form two straight lines in 9-dimensional space: one line for eubacterial genomes, another for archaeal genomes. All the 348 distinct bacterial genomes available in Genbank in April 2007, belong to these lines with high accuracy....

journal_title：Bulletin of mathematical biology

authors： Gorban AN,Zinovyev AY

更新日期：2007-10-01 00:00:00

abstract：:Although cell migration is an essential process in development, how cells reach their final destination is not well understood. Secreted molecules are known to have a migratory effect, but it remains unclear whether such molecules act as directional guidance cues or as motility regulators. There is potential to use si...

journal_title：Bulletin of mathematical biology

authors： Cai AQ,Landman KA,Hughes BD

更新日期：2006-01-01 00:00:00

abstract：:Dengue is a growing public health problem in tropical and subtropical cities. It is transmitted by mosquitoes, and the main strategy for epidemic prevention and control is insecticide fumigation. Effective management is, however, proving elusive. People's day-to-day movement about the city is believed to be an importa...

journal_title：Bulletin of mathematical biology

authors： Falcón-Lezama JA,Martínez-Vega RA,Kuri-Morales PA,Ramos-Castañeda J,Adams B

更新日期：2016-10-01 00:00:00

abstract：:We incorporate a vector-bias term into a malaria-transmission model to account for the greater attractiveness of infectious humans to mosquitoes in terms of differing probabilities that a mosquito arriving at a human at random picks that human depending on whether he is infectious or susceptible. We prove that transcr...

journal_title：Bulletin of mathematical biology

authors： Chamchod F,Britton NF

更新日期：2011-03-01 00:00:00

abstract：:In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth o...

journal_title：Bulletin of mathematical biology

authors： Duncan SJ,Daly KR,McKay Fletcher DM,Ruiz S,Sweeney P,Roose T

更新日期：2019-10-01 00:00:00

abstract：:We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food....

journal_title：Bulletin of mathematical biology

authors： Huang Q,Wang H,Ricciardi A,Lewis MA

更新日期：2016-03-01 00:00:00