A stochastic version of the Eigen model.

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：:Cardiac and neural systems share common features of intrinsic oscillation in some cells as well as the ability to propagate excitation. One theoretical approach to study such systems is to develop realistic models for the tissue. This involves first developing detailed ionic "Hodgkin-Huxley"-type models of individual ...

journal_title：Bulletin of mathematical biology

authors： Glass L,Shrier A

更新日期：2015-05-01 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：:More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically and demographically neutral on the space and differ only on a trait, a or A, affe...

journal_title：Bulletin of mathematical biology

authors： Leman H

更新日期：2018-09-01 00:00:00

abstract：:Marine birds and mammals move between various habitats during the day as they engage in behaviors related to resting, sleeping, preening, feeding, and breeding. The per capita rates of movement between these habitats, and hence the habitat occupancy dynamics, often are functions of environmental variables such as tide...

journal_title：Bulletin of mathematical biology

authors： Henson SM,Hayward JL,Damania SP

更新日期：2006-02-01 00:00:00

abstract：:A stochastic analog to a deterministic model describing subpopulation emergence in heterogeneous tumors is developed. The resulting system is described by the Fokker-Planck or forward Kolmogorov equation. A finite element approach for the numerical solution to this equation is described. Four biological and clinical s...

journal_title：Bulletin of mathematical biology

authors： Michelson S,Ito K,Tran HT,Leith JT

更新日期：1989-01-01 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：: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：:Recent discoveries in ecological stoichiometry have indicated that food quality in terms of the phosphorus/carbon (P/C) ratio affects consumers whether the imbalance involves insufficient or excess nutrients. This phenomenon is called the "stoichiometric P/C knife-edge." In this study, we develop and analyze a produce...

journal_title：Bulletin of mathematical biology

authors： Asik L,Kulik J,Long KR,Peace A

更新日期：2019-07-01 00:00:00

abstract：:A rigorous Bayesian analysis is presented that unifies protein sequence-structure alignment and recognition. Given a sequence, explicit formulae are derived to select (1) its globally most probable core structure from a structure library; (2) its globally most probable alignment to a given core structure; (3) its most...

journal_title：Bulletin of mathematical biology

authors： Lathrop RH,Rogers RG Jr,Smith TF,White JV

更新日期：1998-11-01 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 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：: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：: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：:Hair loss in the autoimmune disease, alopecia areata (AA), is characterized by the appearance of circularly spreading alopecic lesions in seemingly healthy skin. The distinct spatial patterns of AA lesions form because the immune system attacks hair follicle cells that are in the process of producing hair shaft, catap...

journal_title：Bulletin of mathematical biology

authors： Dobreva A,Paus R,Cogan NG

更新日期：2020-02-24 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：:Molecular motors such as kinesin and dynein are responsible for transporting material along microtubule networks in cells. In many contexts, motor dynamics can be modelled by a system of reaction-advection-diffusion partial differential equations (PDEs). Recently, quasi-steady-state (QSS) methods have been applied to ...

journal_title：Bulletin of mathematical biology

authors： Zmurchok C,Small T,Ward MJ,Edelstein-Keshet L

更新日期：2017-09-01 00:00:00

abstract：:Evolutionary game dynamics of two strategies in finite population is studied by continuous probabilistic approach. Besides frequency dependent selection, mutation was also included in this study. The equilibrium probability density functions of abundance, expected time to extinction or fixation were derived and their ...

journal_title：Bulletin of mathematical biology

authors： Gao M

更新日期：2009-07-01 00:00:00

abstract：:Modellers of large-scale genome rearrangement events, in which segments of DNA are inverted, moved, swapped, or even inserted or deleted, have found a natural syntax in the language of permutations. Despite this, there has been a wide range of modelling choices, assumptions and interpretations that make navigating the...

journal_title：Bulletin of mathematical biology

authors： Bhatia S,Feijão P,Francis AR

更新日期：2018-12-01 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 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：:A mathematical model is presented for the steps in the elongation process, and the steady-state elongation rate as a function of the amino acid concentrations is found. In addition, the reset sub-process of the elongation process is modeled. The rate of elongation of peptide chains is found to be a function of the con...

journal_title：Bulletin of mathematical biology

authors： Heyd A,Drew DA

更新日期：2003-11-01 00:00:00

abstract：:The well-known formula for the final size of an epidemic was published by Kermack and McKendrick in 1927. Their analysis was based on a simple susceptible-infected-recovered (SIR) model that assumes exponentially distributed infectious periods. More recent analyses have established that the standard final size formula...

journal_title：Bulletin of mathematical biology

authors： Ma J,Earn DJ

更新日期：2006-04-01 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：: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：:In the field of biological regulation, models dictated by experimental work are usually complex networks comprising intertwined feedback loops. In this paper the biological roles of individual positive loops (multistationarity, differentiation) and negative loops (homeostasis, with or without oscillations, buffering o...

journal_title：Bulletin of mathematical biology

authors： Thomas R,Thieffry D,Kaufman M

更新日期：1995-03-01 00:00:00

abstract：:Cell migration plays an important role in physiology and pathophysiology. It was observed in the experiments that cells, such as fibroblast, leukocytes, and cancer cells, exhibit a wide variety of migratory behaviors, such as persistent random walk, contact inhibition of locomotion, and ordered behaviors. To identify ...

journal_title：Bulletin of mathematical biology

authors： Hassan AR,Biel T,Umulis DM,Kim T

更新日期：2019-08-01 00:00:00

abstract：:This paper is concerned with early development of transformed epithelial cells (TECs) in the presence of fibroblasts in the tumor micro-environment. These two types of cells interact by means of cytokines such as transforming growth factor (TGF-beta) and epidermal growth factor (EGF) secreted, respectively, by the TEC...

journal_title：Bulletin of mathematical biology

authors： Kim Y,Friedman A

更新日期：2010-07-01 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：: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