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 and rapid replacement of damaged cells. These versions show dissimilar shapes of the dose-response curves in the case of short-term exposure. The model provides a natural explanation of the basic experimental findings documented in the radiobiological literature.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Yakovlev A,Polig Edoi
10.1016/0025-5564(95)00047-xsubject
Has Abstractpub_date
1996-02-01 00:00:00pages
1-33issue
1eissn
0025-5564issn
1879-3134pii
002555649500047Xjournal_volume
132pub_type
杂志文章,评审abstract::In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2007.08.008
更新日期:2008-04-01 00:00:00
abstract::A nonlinear mathematical model developed by Chandrasekaran et al. is examined to monitor pharmacokinetic profiles in percutaneous drug absorption and is addressed to several associated problems that could occur in the data analysis of in vitro experiments. The formulation of the model gives rise to a nonlinear partial...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(92)90054-z
更新日期:1992-03-01 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
pub_type: 杂志文章
doi:10.1016/0025-5564(93)90062-f
更新日期:1993-07-01 00:00:00
abstract::In this article, we are interested in the problem of the existence of a few linkage groups in which lethal infertile genes associated with yield factors are present. This hypothesis is supported by the finding of natural balanced lethal systems, which keep a short heterotic chromosome segment. It is very important to ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(96)00132-0
更新日期:1997-03-01 00:00:00
abstract::In this paper we compare foraging strategies that might be used by predators seeking prey in a patchy environment. The strategies differ in the extent to which predators aggregate in response to prey density. The approach to the comparison is suggested by the idea of evolutionarily stable strategies. A strategy is sai...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(99)00027-9
更新日期:1999-08-01 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
abstract::We consider the optimal strategy for intra-specific brood-parasitism, especially with respect to the number of eggs laid by the parasitic individual in the nest of non-parasitic individual, in particular, a host that does not reject the parasite's eggs. With a fundamental mathematical model, assuming that the survival...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(99)00037-1
更新日期:1999-10-01 00:00:00
abstract::We apply to Michaelis-Menten kinetics an alternative approach to the study of Singularly Perturbed Differential Equations, that is based on the Renormalization Group (SPDERG). To this aim, we first rebuild the perturbation expansion for Michaelis-Menten kinetics, beyond the standard Quasi-Steady-State Approximation (s...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2017.11.012
更新日期:2018-05-01 00:00:00
abstract::In this paper, a mathematical modeling framework is presented which describes the growth, encapsulation, and transcapsular spread of solid tumors. The model is based on the physical forces and cellular interactions involved in tumorigenesis and is used to test and compare the active (foreign body hypothesis) and passi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(02)00118-9
更新日期:2002-11-01 00:00:00
abstract::Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's pe...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.04.012
更新日期:2016-07-01 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::Habitat heterogeneity can have profound effects on the spreading dynamics of invasive species. Using integro-difference equations, we investigate the spreading dynamics in a one-dimensional heterogeneous landscape comprising alternating favourable and unfavourable habitat patches or randomly generated habitat patches ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.02.013
更新日期:2016-05-01 00:00:00
abstract::Malaria is an infectious disease present all around the globe and responsible for half a million deaths per year. A within-host model of this infection requires a framework capable of properly approximating not only the blood stage of the infection but also the erythropoietic process that is in charge of overcoming th...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2015.08.020
更新日期:2015-12-01 00:00:00
abstract::A mathematical analysis of the stability in human respiration, based on the tau-decomposition method, is conducted on a simple, but realistic CO2 model of the respiratory system. This model incorporates a two-compartment representation (lungs and tissues) for the plant and a very general class of controller. By derivi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)10028-7
更新日期:1998-09-01 00:00:00
abstract::In estimating mutation rates using the Luria-Delbrück experimental protocol, it is often assumed that all mutant cells survive the plating procedure to form visible mutant colonies. This assumption of perfect plating efficiency may not hold in certain circumstances, but none of the existing estimation methods that adj...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2008.09.002
更新日期:2008-12-01 00:00:00
abstract::Quantitative models for characterising the detailed branching patterns of dendritic trees aim to explain these patterns either in terms of growth models based on principles of dendritic development or reconstruction models that describe an existing structure by means of a canonical set of elementary properties of dend...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2006.08.005
更新日期:2007-02-01 00:00:00
abstract::There is often large variation in traits across the species of a community. In particular, variation in life history traits affecting population dynamics is likely to affect the species abundance distribution. Applying a dynamic and heterogeneous species abundance model we study how differences in extinction time for ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2007.06.002
更新日期:2007-12-01 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::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
pub_type: 杂志文章
doi:10.1016/j.mbs.2010.03.001
更新日期:2010-06-01 00:00:00
abstract::A novel multi-input single output (MISO) black-box sigmoid model is developed to simulate the biosorption of heavy metal cations by the fission yeast from aqueous medium. Validation and verification of the model is done through statistical chi-squared hypothesis tests and the model is evaluated by uncertainty and sens...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2015.04.007
更新日期:2015-07-01 00:00:00
abstract::A simple model of Freeman and Johnson on cutaneous mechanoreceptors is modified by introducing mechanisms for hyperexcitation and refractoriness. These lead to significant improvements in the match between the neural and model data. ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(94)00083-c
更新日期:1995-11-01 00:00:00
abstract::A mathematical multi-cell model for the in vitro kinetics of the anti-cancer agent topotecan (TPT) following administration into a culture medium containing a population of human breast cancer cells (MCF-7 cell line) is described. This non-linear compartmental model is an extension of an earlier single-cell type model...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2008.03.008
更新日期:2008-06-01 00:00:00
abstract::In a random walk (RW) in Z an individual starts at 0 and moves at discrete unitary steps to the right or left with respective probabilities p and 1-p. Assuming p > 1/2 and finite a, a > 1, the probability that state a will be reached before -a is Q(a, p) where Q(a, p) > p. Here we introduce the cooperative random walk...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.06.011
更新日期:2016-09-01 00:00:00
abstract::A mathematical model for the growth of a population of fish in the larval stage is proposed. The emphasis is put on the first part of the larval stage, when the larvae are still passive. It is assumed that during this stage, the larvae move with the phytoplankton on which they feed and share their food equally, leadin...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)00008-x
更新日期:1998-06-01 00:00:00
abstract::A major challenge in matrix-metalloproteinase (MMP) target validation and MMP-inhibitor-drug development for anti-cancer clinical trials is to better understand their complex roles (often competing with each other) in tumor progression. While there is extensive research on the growth-promoting effects of MMPs, the gro...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2017.11.014
更新日期:2018-02-01 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
pub_type: 杂志文章
doi:10.1016/0025-5564(95)00049-6
更新日期:1996-03-01 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::Colorado River is a unique ecosystem and provides important ecological services such as habitat for fish species as well as water power energy supplies. River management for this ecosystem requires assessment and decision support tools for fish which involves protecting, restoring as well as forecasting of future cond...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2018.02.006
更新日期:2018-04-01 00:00:00
abstract::The only animal of which the complete neural circuitry is known at the submicroscopical level is the nematode Caenorhabditis elegans. This anatomical knowledge is complemented by functional insight from electrophysiological experiments in the related nematode Ascaris lumbricoides, which show that Ascaris motor neurons...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(93)90033-7
更新日期:1993-11-01 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