Abstract:
:On the basis of this study, it is concluded that within physiological limits the minimum value for the mean capture time of LDL receptors by coated pits must be induced fundamentally by an optimal characterization of their insertion rate function. The corresponding steady-state surface aggregation patterns for the unbound receptors are consistent with experimental observations. The implications of the derived results for the estimation of the minimum physiological value for the referred mean capture time are also discussed.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Echavarría-Heras Hdoi
10.1016/s0025-5564(99)00043-7subject
Has Abstractpub_date
1999-11-01 00:00:00pages
53-67issue
1-2eissn
0025-5564issn
1879-3134pii
S0025-5564(99)00043-7journal_volume
162pub_type
杂志文章abstract::The problem of moment closure is central to the study of multitype stochastic population dynamics since equations for moments up to a given order will generally involve higher-order moments. To obtain a Normal approximation, the standard approach is to replace third- and higher-order moments by zero, which may be seve...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(00)00037-7
更新日期:2000-11-01 00:00:00
abstract::Mutual interference and prey refuge are important drivers of predator-prey dynamics. The "exponent" or degree of mutual interference has been under much debate in theoretical ecology. In the present work, we investigate the interplay of the mutual interference exponent, and prey refuge, on the behavior of a predator-p...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2020.108407
更新日期:2020-08-01 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::Some viruses encode proteins that promote cell proliferation while others, such as the human immunodeficiency virus (HIV), encode proteins that prevent cell division. It has been hypothesized that the selective advantage determining which strategy evolves depends on the ability of the virus to induce a cellular enviro...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(00)00020-1
更新日期:2000-07-01 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
pub_type: 杂志文章
doi:10.1016/s0025-5564(02)00150-5
更新日期:2003-02-01 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::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::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::The aim of this paper is to develop a minimal model describing events leading to the onset of Parkinson's disease (PD). The model accounts for α-synuclein (α-syn) production in the soma, transport toward the synapse, misfolding, and aggregation. The production and aggregation of polymeric α-syn is simulated using a mi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.05.002
更新日期:2016-08-01 00:00:00
abstract::Pharmacokinetic models are particularly useful to study the underlying and complex physiological mechanisms contributing to clinical differences across patient subgroups or special populations. Unfortunately, the inherent variability of biological systems and knowledge gaps in physiological data limit confidence in mo...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2018.12.011
更新日期:2019-02-01 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::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::This paper describes an efficient method for tracing interactions between a radiation track and molecular targets in a cell or nucleus. The method is efficient because it ensures that a minimal subset of interactions in the track needs to be tested for each score. It is most useful for high-energy particles since the ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)10045-7
更新日期:1998-12-15 00:00:00
abstract::We discuss an N-dimensional model for diffusion of age dependent populations. Let rho(x, t, a) be the population density at time t, age a and spatial position x, and let u(x, t) = [formula: see text] rho(x, t, a) da be the total population at t and x. The directed dispersal model to be discussed, with diffusion depend...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(97)10014-1
更新日期:1998-04-01 00:00:00
abstract::Classification of microarray data has always been a challenging task because of the enormous number of genes. In this study, a clustering method by integrating plant stress response gene expression data with biological knowledge is presented. Clustering is one of the promising tools for attribute reduction, but gene c...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2015.06.005
更新日期:2015-08-01 00:00:00
abstract::The combination therapy of antiviral peg-interferon and ribavirin has evolved as one of the better treatments for hepatitis C. In spite of its success in controlling hepatitis C infection, it has also been associated with treatment-related adverse side effects. The most common and life threatening among them is hemoly...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2010.02.005
更新日期:2010-06-01 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::The high failure rates encountered in the chemotherapy of some cancers suggest that drug resistance is a common phenomenon. In the current study, the tumor burden during therapy is used to slow the growth of the drug-resistant cells, thereby maximizing the survival time of the host. Three types of tumor growth model a...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(92)90038-x
更新日期:1992-07-01 00:00:00
abstract::This article examines the functional and clinical impact of time delays that arise in human physiological systems, especially control systems. An overview of the mathematical and physiological contexts for considering time delays will be illustrated, from the system level to cell level, by examining models that incorp...
journal_title:Mathematical biosciences
pub_type: 杂志文章,评审
doi:10.1016/j.mbs.2011.08.006
更新日期:2011-12-01 00:00:00
abstract::This paper deals with numerical modeling and simulation of heat transfer in skin tissues using non-linear dual-phase-lag (DPL) bioheat transfer model under periodic heat flux boundary condition. The blood perfusion is assumed temperature-dependent which results in non-linear DPL bioheat transfer model in order to pred...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2017.08.009
更新日期:2017-11-01 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::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::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
pub_type: 杂志文章
doi:10.1016/s0025-5564(02)00215-8
更新日期:2003-04-01 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::It has been shown in the literature that myocytes isolated from the ventricular walls at various intramural depths have different action potential durations (APDs). When these myocytes are embedded in the ventricular wall, their inhomogeneous properties affect the sequence of repolarization and the actual distribution...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2006.06.002
更新日期:2006-11-01 00:00:00
abstract::We consider a single-species model which is composed of several patches connected by linear migration rates and having logistic growth with a threshold. We show the existence of an aggregating mechanism that allows the survival of a species which is in danger of extinction due to its low population density. Numerical ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(00)00005-5
更新日期:2000-05-01 00:00:00
abstract::A mathematical model is presented for the growth of a multicellular spheroid that comprises a central core of necrotic cells surrounded by an outer annulus of proliferating cells. The model distinguishes two mechanisms for cell loss: apoptosis and necrosis. Cell loss due to apoptosis is defined to be programmed cell d...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(96)00023-5
更新日期:1996-07-15 00:00:00
abstract::We present an axiomatic approach for multilocus informativeness measures for determining the amount of information that a set of polymorphic genetic markers provides about individual ancestry. We then reveal several surprising properties of a decision-theoretic based measure that is consistent with the set of proposed...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2018.10.011
更新日期:2018-12-01 00:00:00
abstract::Traits such as skill at foraging and investment in anti-predator defense may vary among individuals within a species population. This intraspecific variation has implications for community dynamics. The implications of intraspecific variation of a consumer in the intermediate level of a tritrophic food chain are explo...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2013.04.008
更新日期:2013-08-01 00:00:00
abstract::For cDNA array methods that depend on imaging of a radiolabel, we show that bleedover of one spot onto another, due to the gap between the array and the imaging media, can be a major problem. The images can be sharpened, however, using a blind convolution method based on the EM algorithm. The sharpened images look lik...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(01)00101-8
更新日期:2002-03-01 00:00:00