Abstract:
:A model, based on the principles of continuum mechanics, is presented for the analysis of cell-velocity fields within wool follicles. The model requires specification of three follicle characteristics in the form of spatially varying fields: viscosity, cell density and cell production rate. The viscosity is introduced as an attempt to model both complex intercellular interactions and individual cell deformation as the cells move. It is demonstrated that the distribution of cell production is more important than axial variation in viscosity in determining the overall flow pattern.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Louie K,Hall AJ,Gandar PWdoi
10.1006/bulm.1997.0025subject
Has Abstractpub_date
1998-01-01 00:00:00pages
79-100issue
1eissn
0092-8240issn
1522-9602journal_volume
60pub_type
杂志文章abstract::We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0426-2
更新日期:2019-11-01 00:00:00
abstract::A mathematical model (Kliemann, W. 1987. Bull. math. Biol. 49, 135-152.) that predicts the quantitative branching pattern of dendritic tree was evaluated using the apical and basal dendrites of rat hippocampal neurons. The Wald statistic for chi 2-test was developed for the branching pattern of dendritic trees and for...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458630
更新日期:1991-01-01 00:00:00
abstract::Gene transcription is a central cellular process and is stochastic in nature. The stochasticity has been studied in real cells and in theory, but often for the transcription activated by a single signaling pathway at steady-state. As transcription of many genes is involved with multiple pathways, we investigate how th...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9683-z
更新日期:2012-02-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00656-3
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abstract::The present paper studies a predator-prey fishery model which incorporates the independent harvesting strategies and nonlinear impact of an anthropogenic toxicant. Both fish populations are harvested with different harvesting efforts, and the cases for the presence and non-presence of harvesting effort are discussed. ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00627-8
更新日期:2019-07-01 00:00:00
abstract::We propose a deterministic continuum model for mixed-culture biofilms. A crucial aspect is that movement of one species is affected by the presence of the other. This leads to a degenerate cross-diffusion system that generalizes an earlier single-species biofilm model. Two derivations of this new model are given. One,...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-015-0117-1
更新日期:2015-11-01 00:00:00
abstract::Knowledge about large-scale and long-term dynamics of (natural) populations is required to assess the efficiency of control strategies, the potential for long-term persistence, and the adaptability to global changes such as habitat fragmentation and global warming. For most natural populations, such as pest population...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-008-9363-9
更新日期:2009-02-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-013-9859-9
更新日期:2013-09-01 00:00:00
abstract::Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple signaling cascade consisting of n layers of modification cycles such that the modi...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9658-0
更新日期:2012-01-01 00:00:00
abstract::It is well established that in problems featuring slow passage through a Hopf bifurcation (dynamic Hopf bifurcation) the transition to large-amplitude oscillations may not occur until the slowly changing parameter considerably exceeds the value predicted from the static Hopf bifurcation analysis (temporal delay effect...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0366-2
更新日期:2018-01-01 00:00:00
abstract::Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be explained by this model. The selection-mutation model has unobservable fitness paramete...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0529-9
更新日期:2019-03-01 00:00:00
abstract::A previously investigated basic model (System B) for the study of signaling morphogen gradient formation that allows for reversible binding of morphogens (aka ligands) with signaling receptors, degradation of bound morphogens and diffusion of unbound morphogens is extended to include the effects of membrane-bound non-...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-006-9152-2
更新日期:2007-01-01 00:00:00
abstract::A method for obtaining delay histograms for the time course of neurotransmitter release is presented. The delay histogram is derived from the measured psc (or the sum of several psc's) and the mpsc (obtained experimentally or otherwise) by means of a simple, quick, mathematical procedure. The procedure may be automate...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458628
更新日期:1991-01-01 00:00:00
abstract::We incorporate a vector-bias term into a malaria-transmission model to account for the greater attractiveness of infectious humans to mosquitoes in terms of differing probabilities that a mosquito arriving at a human at random picks that human depending on whether he is infectious or susceptible. We prove that transcr...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9545-0
更新日期:2011-03-01 00:00:00
abstract::We exhibit a stochastic discrete time model that produces the Eigen model (Naturwissenschaften 58:465-523, 1971) in the deterministic and continuous time limits. The model is based on the competition among individuals differing in terms of fecundity but with the same viability. We explicitly write down the Markov matr...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9525-4
更新日期:2011-01-01 00:00:00
abstract::We develop the mathematical machinery for the construction of an algebraic-combinatorial model using Petri nets to construct an oriented matroid representation of biochemical pathways. For demonstration purposes, we use a model metabolic pathway example from the literature to derive a general biochemical reaction netw...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2001.0263
更新日期:2001-11-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0428-0
更新日期:2019-08-01 00:00:00
abstract::Analysis schemes for the classification of synergism and antagonism for mixed agents operate on the discrepancies between observed and calculated results. As such they cannot be confirmed by experiments and therefore have to be tested in terms of mathematical and logical self-consistency. The concept of independent ac...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458276
更新日期:1994-09-01 00:00:00
abstract::Developing a quantitative science of sustainability requires bridging mathematical concepts from fields contributing to sustainability science. The concept of substitutability is central to sustainability but is defined differently by different fields. Specifically, economics tends to define substitutability as a marg...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-9963-5
更新日期:2015-02-01 00:00:00
abstract::Recent advances in virology, gene therapy, and molecular and cell biology have provided insight into the mechanisms through which viruses can boost the anti-tumor immune response, or can infect and directly kill tumor cells. A recent experimental report (Bridle et al. in Molec. Ther. 18(8):1430-1439, 2010) showed that...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9653-5
更新日期:2011-12-01 00:00:00
abstract::Premised on relatively simple assumptions, mathematical models like those of Monod, Pirt or Droop inadequately explain the complex transient behavior of microbial populations. In particular, these models fail to explain many aspects of the dynamics of a Tetrahymena pyriformis-Escherichia coli community. In this study ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458309
更新日期:1996-03-01 00:00:00
abstract::The well-known formula for the final size of an epidemic was published by Kermack and McKendrick in 1927. Their analysis was based on a simple susceptible-infected-recovered (SIR) model that assumes exponentially distributed infectious periods. More recent analyses have established that the standard final size formula...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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更新日期:2006-04-01 00:00:00
abstract::We present an improved mathematical model of population dynamics of mosquito-borne disease transmission. Our model considers the effect of mosquito repellent use and the mosquito's behavior or attraction to the infected human, which cause mosquitoes' biased distribution around the human population. Our analysis of the...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00666-1
更新日期:2019-12-01 00:00:00
abstract::Understanding the life-history complex of eusociality has remained an enduring problem in evolutionary ecology, partially because natural selection models have considered traits in relative isolation. I aim for a more inclusive model that uses ecological interactions to predict the evolutionary existence of sexual rep...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-006-9112-x
更新日期:2007-05-01 00:00:00
abstract::We study the emergence of collective spatio-temporal objects in biological systems by representing individually the elementary interactions between their microscopic components. We use the immune system as a prototype for such interactions. The results of this detailed explicit analysis are compared with the tradition...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(03)00007-7
更新日期:2003-05-01 00:00:00
abstract::A staged-progression HIV model is formulated and used to investigate the potential impact of an imperfect vaccine. The vaccine is assumed to have several desirable characteristics such as protecting against infection, causing bypass of the primary infection stage, and offering a disease-altering therapeutic effect (so...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-006-9095-7
更新日期:2006-11-01 00:00:00
abstract::We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-9935-9
更新日期:2014-03-01 00:00:00
abstract::Mathematical modeling is an important tool to assessing quantitative conjectures and to answer specific questions. In the modeling, we assume that a competitor represented by a lactic acid bacterium produces antimicrobial compounds (substances that kill microorganisms or inhibit their growth), such as lactic acid and ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0302-5
更新日期:2017-07-01 00:00:00
abstract::Cell motility is an essential phenomenon in almost all living organisms. It is natural to think that behavioral or shape changes of a cell bear information about the underlying mechanisms that generate these changes. Reading cell motion, namely, understanding the underlying biophysical and mechanochemical processes, i...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9580-x
更新日期:2011-03-01 00:00:00
abstract::Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although many mathematical models have been developed to describe the formation of blood capillaries (angiogenesis), very few have been proposed for...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0205-x
更新日期:2016-09-01 00:00:00