Abstract：
:An experiment design procedure is proposed for nonlinear parameter estimation studies that formally incorporates prior parameter uncertainty. The design criterion derives from information theory considerations and involves an asymptotic interpretation of the expected posterior information provided by an experiment. A pharmacokinetic sample schedule design problem is used to illustrate and evaluate this information theoretic design strategy. The model considered is commonly used to describe the plasma concentration of a drug following its oral administration. The limitations and advantages of the proposed design procedure are discussed in relation to other previously reported design techniques for incorporating parameter uncertainty.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
D'Argenio DZdoi
10.1016/0025-5564(90)90141-ksubject
Has Abstractpub_date
1990-04-01 00:00:00pages
105-18issue
1eissn
0025-5564issn
1879-3134pii
0025-5564(90)90141-Kjournal_volume
99pub_type
杂志文章abstract：:An epidemic model with multiple stages of infection is studied. The model allows for infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease free equilibrium is found and interpreted. Under condi...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00149-9
更新日期：2003-01-01 00:00:00
abstract：:Employing theoretical models, we show that the sterile insect release method (SIRM) can give rise to traveling waves of fertile insects. The velocity of these waves depends critically upon the density of sterile insects (and thus upon the rate at which sterile individuals are being released into the environment). When...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(93)90067-k
更新日期：1993-08-01 00:00:00
abstract：:An inherent problem in studying the behavior of a metabolic pathway is the impossibility of developing a complete, detailed model that includes all the cellular processes that have an impact on the set of fluxes in such a pathway. Lacking this, one requires some means of modeling the interactions between a metabolic p...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(90)90049-5
更新日期：1990-06-01 00:00:00
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
pub_type： 杂志文章
doi：10.1016/s0025-5564(03)00087-7
更新日期：2003-09-01 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
pub_type： 杂志文章
doi：10.1016/j.mbs.2018.08.013
更新日期：2018-11-01 00:00:00
abstract：:The existence of cooperation in this world is a mysterious phenomenon. One of the mechanisms that explain the evolution of cooperation is repeated interaction. If interactions between the same individuals repeat and individuals cooperate conditionally, cooperation can evolve. A previous study pointed out that if indiv...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2017.04.002
更新日期：2017-07-01 00:00:00
abstract：:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluat...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.01.001
更新日期：2013-09-01 00:00:00
abstract：:A three-dimensional diffusion model with either hexagonal or cylindrical symmetry has been constructed to simulate desorption profiles of hydrophilic chemicals from the topmost layer of human skin (the stratum corneum) as measured in ex vivo studies. The tissue is pierced by skin appendages - sweat glands and hair fol...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2018.03.010
更新日期：2018-06-01 00:00:00
abstract：:Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set X of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate processes (for example, hybrid evolution, endosymbiosis, and lateral gene transfer). A...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2019.04.009
更新日期：2019-07-01 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
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00178-5
更新日期：2003-03-01 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
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00096-2
更新日期：2002-07-01 00:00:00
abstract：:HIF (hypoxia inducible factor) is an oxygen-regulated transcription factor that mediates the intracellular response to hypoxia in human cells. There is increasing evidence that cell signaling pathways encode temporal information, and thus cell fate may be determined by the dynamics of protein levels. We have developed...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.09.007
更新日期：2014-12-01 00:00:00
abstract：:To control emerging infectious diseases like SARS, it is necessary to resort to basic control measures that limit exposures to infectious individuals. These measures include isolating cases at diagnosis, quarantining household members and tracing contacts of diagnosed cases, providing the community with advice on how ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2004.07.006
更新日期：2005-02-01 00:00:00
abstract：:During normal, voluntary movements, skeletal muscles typically contract in a highly dynamic manner; the length of the muscle and the speed of contraction change continuously. In this study, we present an approach to predict the accurate behavior of muscles for such dynamic contractions using Huxley's cross-bridge mode...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(96)00115-0
更新日期：1997-01-01 00:00:00
abstract：:The modified SIS epidemiological model considers the usual direct transmission (short cycle) and indirect transmission (long cycle) of typhoid fever. Thresholds are determined, and the equilibrium points are shown to be globally stable. Local stability of the equilibrium points is shown in the corresponding model with...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(89)90081-3
更新日期：1989-09-01 00:00:00
abstract：:A model was developed for novel prediction of N-linked glycan branching pattern classification for CHO-derived N-linked glycoproteins. The model consists of 30 independent recurrent neural networks and uses predicted quantities of secondary structure elements and residue solvent accessibility as an input vector. The m...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.10.005
更新日期：2008-01-01 00:00:00
abstract：:In this paper, we propose an iterative learning rule that allows the imprinting of correlated oscillatory patterns in a model of the hippocampus able to work as an associative memory for oscillatory spatio-temporal patterns. We analyze the dynamics in the Fourier domain, showing how the network selectively amplify or ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.10.001
更新日期：2007-06-01 00:00:00
abstract：:Transmission of an infectious agent can be quantified from experimental data using the transient-state (TS) algorithm. The TS algorithm is based on the stochastic SIR model and provides a time-dependent probability distribution over the number of infected individuals during an epidemic, with no need for the experiment...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.04.009
更新日期：2007-11-01 00:00:00
abstract：:Many important results in stochastic epidemic modelling are based on the Reed-Frost model or on other similar models that are characterised by unrealistic temporal dynamics. Nevertheless, they can be extended to many other more realistic models thanks to an argument first provided by Ludwig [Final size distributions f...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2008.08.009
更新日期：2008-11-01 00:00:00
abstract：:Metabolic flux analysis using carbon labeling experiments (CLEs) is an important tool in metabolic engineering where the intracellular fluxes have to be computed from the measured extracellular fluxes and the partially measured distribution of 13C labeling within the intracellular metabolite pools. The relation betwee...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00222-5
更新日期：2003-06-01 00:00:00
abstract：:In this article we elaborate on the structure of the generalized Lotka-Volterra (GLV) form for nonlinear differential equations. We discuss here the algebraic properties of the GLV family, such as the invariance under quasimonomial transformations and the underlying structure of classes of equivalence. Each class poss...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(96)00131-9
更新日期：1997-02-01 00:00:00
abstract：:We explore the feasibility of deriving generalised expressions for the probability mass function (PMF) of the final epidemic size of a Susceptible - Infected - Recovered (SIR) model on a finite network of an arbitrary number of nodes. Expressions for the probability that the infection progresses along a given pathway ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2019.02.003
更新日期：2019-05-01 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
pub_type： 杂志文章
doi：10.1016/0025-5564(94)00118-5
更新日期：1995-12-01 00:00:00
abstract：:Understanding the evolution of dispersal is an important issue in evolutionary ecology. For continuous time models in which individuals disperse throughout their lifetime, it has been shown that a balanced dispersal strategy, which results in an ideal free distribution, is evolutionary stable in spatially varying but ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.11.003
更新日期：2017-01-01 00:00:00
abstract：:This paper is concerned with the qualitative analysis of two models [S. Bonhoeffer, M. Lipsitch, B.R. Levin, Evaluating treatment protocols to prevent antibiotic resistance, Proc. Natl. Acad. Sci. USA 94 (1997) 12106] for different treatment protocols to prevent antibiotic resistance. Detailed qualitative analysis abo...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2010.06.002
更新日期：2010-09-01 00:00:00
abstract：:We review a multiscale model of saliva secretion, describing in brief how the model is constructed and what we have so far learned from it. The model begins at the level of inositol trisphosphate receptors (IPR), and proceeds through the cellular level (with a model of acinar cell calcium dynamics) to the multicellula...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.06.017
更新日期：2014-11-01 00:00:00
abstract：:The influence of intrinsic channel noise on the spiking activity of excitable membrane patches is studied by use of a stochastic generalization of the Hodgkin-Huxley model. Internal noise stemming from the stochastic dynamics of individual ion channels does affect the electric properties of the cell-membrane patches. ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.08.024
更新日期：2007-06-01 00:00:00
abstract：:This paper considers complex models arising in sociobiology. These combine genetic and strategic aspects to model the effect of gene-linked strategies on the ability of individuals to survive to maturity, mate and produce offspring. Several important models considered in the literature are generalised and extended to ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(98)10011-1
更新日期：1998-08-01 00:00:00
abstract：:A multicompartmental model is proposed to deal with the spread of the HIV epidemic. Stratification with respect to high- and low-risk groups is taken into account, introducing a "fuzzy" decomposition of the compartment of susceptibles. The infectivity period is staged using different levels of CD4 cell counts. Asympto...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90021-a
更新日期：1991-12-01 00:00:00
abstract：:Optical biosensors, including the BIACORE, provide an increasingly popular method for determining reaction rates of biomolecules. In a flow chamber, with one reactant immobilized on a chip on the sensor surface, a solution containing the other reactant (the analyte) flows through the chamber. The time course of bindin...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(99)00023-1
更新日期：1999-07-01 00:00:00
