Prediction of N-linked glycan branching patterns using artificial neural networks.

abstract：:Heesterbeek and Metz [J. Math. Biol. 31 (1993) 529] derived an expression for the saturating contact rate of individual contacts in an epidemiological model. In this paper, the SEIR model with this saturating contact rate is studied. The basic reproduction number R0 is proved to be a sharp threshold which completely d...

journal_title：Mathematical biosciences

authors： Zhang J,Ma Z

更新日期：2003-09-01 00:00:00

abstract：:Two-component systems (TCSs) are widely employed by bacteria to sense specific external signals and conduct an appropriate response via a phosphorylation cascade within the cell. The TCS of the agr operon in the bacterium Staphylococcus aureus forms part of a regulatory process termed quorum sensing, a cell-to-cell co...

journal_title：Mathematical biosciences

authors： Jabbari S,King JR,Williams P

更新日期：2010-06-01 00:00:00

abstract：:According to metapopulation theory, the capacity of a habitat patch network to support the persistence of a species is measured by the metapopulation capacity of the patch network. Mathematically, metapopulation capacity is given by the leading eigenvalue lambda(M) of an appropriately constructed non-negative n x n ma...

journal_title：Mathematical biosciences

authors： Ovaskainen O

更新日期：2003-02-01 00:00:00

abstract：:In this paper, we consider an aspect of the intra-specific brood-parasitism with a mathematical modelling. As in case of moorhen Gallinula chloropus, the case dealt with in this paper in such that just a part of the whole population has the parasitising behaviour against the individuals belonging to another part of no...

journal_title：Mathematical biosciences

authors： Maruyama J,Seno H

更新日期：1999-03-01 00:00:00

abstract：:A number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and deat...

journal_title：Mathematical biosciences

authors： Sriyudthsak K,Shiraishi F

更新日期：2010-11-01 00:00:00

abstract：:A mathematical model for multispecies biofilm evolution based on continuum approach and mass conservation principles is presented. The model can describe biofilm growth dynamics including spatial distribution of microbial species, substrate concentrations, attachment, and detachment, and, in particular, is able to pre...

journal_title：Mathematical biosciences

authors： D'Acunto B,Frunzo L,Klapper I,Mattei MR

更新日期：2015-01-01 00:00:00

abstract：:Cyclic four-state models are frequently used in biology to represent a variety of molecular behaviors. A common experimental strategy to test such models is to follow the behavior of the real system after some of the rate constants are changed in a stepwise manner. We analyze the mathematical behavior of a simple exam...

journal_title：Mathematical biosciences

authors： Lazalde CA,Barr L

更新日期：1992-11-01 00:00:00

abstract：:A variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. Most predictive models are shown to be based on variations of the classical Verhulst logistic growth equation. We review and compare several such models and analyse properties ...

journal_title：Mathematical biosciences

authors： Tsoularis A,Wallace J

更新日期：2002-07-01 00:00:00

abstract：:Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The model draws attention to the role of viability selections of different types to...

journal_title：Mathematical biosciences

authors： Sarkar B

更新日期：2016-01-01 00:00:00

abstract：:The problem addressed is that of finding the harvesting policy that will maximize the yield and maintain a given population in a steady state. It is assumed that the equations describing the evolution of the population and the yield are linear but that the equation describing reproduction is nonlinear (density depende...

journal_title：Mathematical biosciences

authors： Dacorogna B,Weissbaum F,Arditi R

更新日期：1994-03-01 00:00:00

abstract：:A non-traditional approach of fitting dynamic resource biomass models to data is developed in this paper. A variational adjoint technique is used for dynamic parameter estimation. In the variational formulation, a cost function measuring the distance between the model solution and the observations is minimized. The da...

journal_title：Mathematical biosciences

authors： Ussif AA,Sandal LK,Steinshamn SI

更新日期：2003-03-01 00:00:00

abstract：:In linear, stochastic dynamics it is shown that the quasideterministic population size is equivalent to the mean population size. The quasideterministic dynamics are defined by the conditional infinitesimal mean of the process. The stochastic component of the dynamics includes both Gaussian and Poisson white noise, wi...

journal_title：Mathematical biosciences

authors： Hanson FB,Ryan D

更新日期：1989-03-01 00:00:00

abstract：:The electronic structure of DNA is theoretically investigated by use of the coherent potential approximation. Even when the sequence of the four kinds of bases is nonperiodic, guanine block forms the persistent highest valence band edge, and adenine block forms the persistent lowest conduction band edge state. Accordi...

journal_title：Mathematical biosciences

authors： Takeda K

更新日期：1995-12-01 00:00:00

abstract：:Statistical consistency in phylogenetics has traditionally referred to the accuracy of estimating phylogenetic parameters for a fixed number of species as we increase the number of characters. However, it is also useful to consider a dual type of statistical consistency where we increase the number of species, rather ...

journal_title：Mathematical biosciences

authors： Gascuel O,Steel M

更新日期：2010-10-01 00:00:00

abstract：:We propose a new approach for tumor immunotherapy which is based on a switching control strategy defined on domains of attraction of equilibria of interest. For this, we consider a recently derived model which captures the effects of the tumor cells on the immune system and viceversa, through predator-prey competition...

journal_title：Mathematical biosciences

authors： Doban AI,Lazar M

更新日期：2017-02-01 00:00:00

abstract：:A class of models is considered in which the number of unknown parameters exceeds the number of independent equations that are derived from the input/observation configuration. It is shown that, under certain circumstances, if the number of unknown parameters is sufficiently decreased by setting some of the exit param...

journal_title：Mathematical biosciences

authors： Eisenfeld J

更新日期：1996-03-01 00:00:00

abstract：:Under the influence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g(x) of q under the assumption that the population process Z is a time homogeneous lin...

journal_title：Mathematical biosciences

authors： Lee C

更新日期：2000-03-01 00:00:00

abstract：:This paper is concerned with the development of a stochastic path of prostate-specific antigen (PSA) level after radiation treatment for prostate cancer. PSA is a biomarker for prostate cancer, higher levels of which indicate the seriousness of the cancer progression. Following the deterministic modeling of the data b...

journal_title：Mathematical biosciences

authors： Dayananda PW,Taylor JM,Whiting DG

更新日期：2003-04-01 00:00:00

abstract：:Determining the future state of individual patients, with regard to the susceptibility to life-threatening condition is a crucial problem in the public health. Chronic Kidney Disease (CKD) is a perilous disease, which is characterized by gradual loss of kidney function. This paper presents a set of mathematical models...

journal_title：Mathematical biosciences

authors： Waezizadeh T,Mehrpooya A,Rezaeizadeh M,Yarahmadian S

更新日期：2018-11-01 00:00:00

abstract：:Frailty models are becoming increasingly popular in multivariate survival analysis. Shared frailty models in particular are often used despite their limitations. To overcome their disadvantages numerous correlated frailty models were established during the last decade. In the present study, we examine bivariate correl...

journal_title：Mathematical biosciences

authors： Wienke A,Arbeev KG,Locatelli I,Yashin AI

更新日期：2005-11-01 00:00:00

abstract：:A mathematical model of oxygen (O2) transport within a capillary utilizes axisymmetric red blood cell (RBC) shapes that were predicted theoretically by Zarda et al. in 1977. Chemical kinetics and both free and facilitated diffusion of O2 are accounted for in this time-dependent model. The finite-element method is used...

journal_title：Mathematical biosciences

authors： Wang CH,Popel AS

更新日期：1993-07-01 00:00:00

abstract：:Human solid tumors are believed to be caused by a sequence of genetic abnormalities arising in the tumor cells. The understanding of these sequences is extremely important for improving cancer treatment. Models for the occurrence of the abnormalities include linear structure and a recently proposed tree-based structur...

journal_title：Mathematical biosciences

authors： Szabo A,Boucher K

更新日期：2002-04-01 00:00:00

abstract：:Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathemati...

journal_title：Mathematical biosciences

authors： Bertram R,Rubin JE

更新日期：2017-05-01 00:00:00

abstract：:A mechanistic model of the Fitzhugh-Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasmonate and the MYC2 ...

journal_title：Mathematical biosciences

authors： Chiangga S,Pornkaveerat W,Frank TD

更新日期：2016-03-01 00:00:00

abstract：:The methods of Laplace transform were used to solve a mathematical model developed for percutaneous drug absorption. This model includes application and removal of the vehicle from the skin. A system of two linear partial differential equations was solved for the application period. The concentration of the medicinal ...

journal_title：Mathematical biosciences

authors： Simon L,Loney NW

更新日期：2005-10-01 00:00:00

abstract：:The problem of testing for treatment effect when some subjects in the treatment group may be unaffected by the treatment is considered. A form of the Lehmann alternative suggested by Conover and Salsburg is used that assumes that each control score has the same distribution as the minimum of the known number of respon...

journal_title：Mathematical biosciences

authors： Razzaghi M,Nanthakumar A

更新日期：1992-04-01 00:00:00

abstract：:We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection ra...

journal_title：Mathematical biosciences

authors： Sugimine N,Masuda N,Konno N,Aihara K

更新日期：2008-05-01 00:00:00

abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...

journal_title：Mathematical biosciences

authors： Colli Franzone P,Guerri L,Pennacchio M,Taccardi B

更新日期：1998-07-01 00:00:00

abstract：:Multi-patch models - also known as metapopulation models - provide a simple framework within which the role of spatial processes in disease transmission can be examined. An n-patch model which distinguishes between k different classes of individuals is considered. The linear stability of spatially homogeneous solution...

journal_title：Mathematical biosciences

authors： Lloyd AL,Jansen VA

更新日期：2004-03-01 00:00:00

abstract：:Some global dynamical properties of catalytic networks, in particular permanence, are closely related with a directed graph representing the differential equation. It can be shown that for every directed graph with a Hamiltonian circuit there is a choice of rate constants such that the system is permanent. On the othe...

journal_title：Mathematical biosciences

authors： Stadler PF,Schuster P

更新日期：1996-01-15 00:00:00