Abstract:
:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed. It is shown that the threshold condition for the disease to persist is that either (i) the disease can persist within at least one group through intragroup contacts, or--if (i) does not hold--(ii) the intergroup transmission is sufficiently high. The among-group transmission is computed as an average where each subgroup's reproductive number is weighted according to its intragroup activity level squared and the total number of cases that one infectious individual will cause through intragroup contacts. The model thus allows for a study of the relative importance of communitywide disease transmission and of disease transmission within geographically or socially separate groups.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Andreasen V,Christiansen FBdoi
10.1016/0025-5564(89)90061-8subject
Has Abstractpub_date
1989-10-01 00:00:00pages
239-53issue
2eissn
0025-5564issn
1879-3134pii
0025-5564(89)90061-8journal_volume
96pub_type
杂志文章abstract::A fundamental problem in reconstructing the evolutionary history of a set of species is to infer the topology of the evolutionary tree that relates those species. A statistical method for estimating such a topology from character data is called consistent if, given data from more and more characters, the method is sur...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(95)00172-7
更新日期:1996-06-01 00:00:00
abstract::In a standard procedure of food safety testing, the presence of the pathogenic bacterium Listeria monocytogenes can be masked by non-pathogenic Listeria. This phenomenon of Listeria overgrowth is not well understood. We present a mathematical model for the growth of a mixed population of L. innocua and L. monocytogene...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2013.10.008
更新日期:2014-01-01 00:00:00
abstract::The problem of biological invasion in a model single-species community is considered, the spatiotemporal dynamics of the system being described by a modified Fisher equation. For a special case, we obtain an exact solution describing self-similar growth of the initially inhabited domain. By comparison with numerical s...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(01)00068-2
更新日期:2001-08-01 00:00:00
abstract::A stochastic model is presented of carcinogenesis induced by irradiation with arbitrary time-dependent dose rate. The key feature of the model is that it allows for radiation-induced cell killing to compete with the process of tumor promotion. Two versions of the model arise when considering target tissues with slow a...
journal_title:Mathematical biosciences
pub_type: 杂志文章,评审
doi:10.1016/0025-5564(95)00047-x
更新日期:1996-02-01 00:00:00
abstract::An optimal input of nutrients into the metabolic process of the individual subject so as to effect desired therapeutic results is particularly important for the critically ill. A patient-related, individualized nutrients optimization procedure is proposed here. The procedure is applicable to any time-invariant and det...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(89)90004-7
更新日期:1989-12-01 00:00:00
abstract::When comparing the performance of a stochastic model of an epidemic at two points in a parameter space, a threshold is said to have been crossed when at one point an epidemic develops with positive probability; while at the other there is a tendency for an epidemic to become extinct. The approach used to find threshol...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(01)00093-1
更新日期:2002-05-01 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::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
pub_type: 杂志文章
doi:10.1016/j.mbs.2005.07.002
更新日期:2005-10-01 00:00:00
abstract::In the Western world approximately 10% of the population experience severe depression at least once in their lifetime and many more experience a mild form of depression. Depression has been associated with malfunctions in the hypothalamus-pituitary-adrenal (HPA) axis. We suggest a novel mechanistic non-linear model ca...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2014.07.013
更新日期:2014-11-01 00:00:00
abstract::Chemokine receptor expression may vary dramatically among cell subsets. Therefore, the stage of differentiation and the lineage of CD4 cells may profoundly affect their susceptibility to infection by human immunodeficiency virus type 1 (HIV-1). However, the mechanisms of coreceptor competition for association with HIV...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2005.01.002
更新日期:2005-05-01 00:00:00
abstract::Through use of the local state isomorphism theorem instead of the algebraic equivalence theorem of linear systems theory, the similarity transformation approach is extended to nonlinear models, resulting in finitely verifiable sufficient and necessary conditions for global and local identifiability. The approach requi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(89)90024-2
更新日期:1989-04-01 00:00:00
abstract::A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2015.04.002
更新日期:2015-06-01 00:00:00
abstract::Therapeutic enhancement of humoral immune response to microbial attack is addressed as the stochastic optimal control of a dynamic system. Without therapy, the modeled immune response depends upon the initial concentration of pathogens in a simulated attack. Immune response can be augmented by agents that kill the pat...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2004.06.004
更新日期:2004-10-01 00:00:00
abstract::Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. Here, we investigate the two-state Markov model on a tripod tree, inferring conditions under which a given set of observations gives rise to such ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2012.03.001
更新日期:2012-05-01 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::In this work, we derive and analyze a 2n+1-dimensional deterministic differential equation modeling the transmission and treatment of HIV (Human Immunodeficiency Virus) disease. The model is extended to a stochastic differential equation by introducing noise in the transmission rate of the disease. A theoretical treat...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2018.03.013
更新日期:2018-05-01 00:00:00
abstract::It is well known that in the most general epidemic models with multiple pathogen variants a competitive exclusion principle is valid, such that the variant with the highest reproduction number eliminates the rest. Mechanisms such as super-infection, coinfection, and cross-immunity can lead to pathogen polymorphism whe...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2006.09.010
更新日期:2007-05-01 00:00:00
abstract::We consider a population with two types of individuals: those who engage in risky sexual behavior (the core) and those who do not (the majority). We are interested in the situation where the majority would not be able to sustain an epidemic without the presence of a core. We show that even if the core is randomly spre...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(01)00071-2
更新日期:2001-09-01 00:00:00
abstract::We present a theoretical model for steady-state radial and longitudinal oxygen transport in arterioles containing flowing blood (plasma and red blood cells) and surrounded by living tissue. This model combines a detailed description of convective and diffusive oxygen transport inside the arteriole with a novel boundar...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2011.03.010
更新日期:2011-07-01 00:00:00
abstract::Interaction of metal or oxide nanoparticles (NPs) with biological soft matter is one of the central phenomena in basic and applied biology-oriented nanoscience. Often, this interaction includes adsorption of suspended proteins on the NP surface, resulting in the formation of the protein corona around NPs. Structurally...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.09.018
更新日期:2016-12-01 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
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)10073-1
更新日期:1999-03-01 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::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
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.09.008
更新日期:2017-02-01 00:00:00
abstract::Parallel numerical simulations of excitation and recovery in three-dimensional myocardial domains are presented. The simulations are based on the anisotropic Bidomain and Monodomain models, including intramural fiber rotation and orthotropic or axisymmetric anisotropy of the intra- and extra-cellular conductivity tens...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2005.04.003
更新日期:2005-09-01 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::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::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
pub_type: 杂志文章
doi:10.1016/j.mbs.2008.02.004
更新日期:2008-05-01 00:00:00
abstract::Two optimization problems are considered: Harvesting from a structured population with maximal gain subject to the condition of non-extinction, and vaccinating a population with prescribed reduction of the reproduction number of the disease at minimal costs. It is shown that these problems have a similar structure and...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2005.09.001
更新日期:2007-04-01 00:00:00
abstract::The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state age distribution is used as a basis for building an epidemiologic model for the transmission of pertussis. This age-structured mo...
journal_title:Mathematical biosciences
pub_type: 历史文章,杂志文章
doi:10.1016/s0025-5564(97)00014-x
更新日期:1997-10-15 00:00:00
abstract::Free access to a common pool of resource in a country may lead to over-exploitation and sacrifice future opportunities of harvesting. As such, the protection of a common fishery resource is worth investigating. In this paper we develop a two-period model and a multi-period model to analyze the optimal inter-temporal u...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2006.06.007
更新日期:2007-05-01 00:00:00