Abstract:
:Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusion shows such circumstances are reasonable under accepted modeling assumptions.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Johnson SDdoi
10.1007/s11538-009-9455-1subject
Has Abstractpub_date
2010-01-01 00:00:00pages
221-9issue
1eissn
0092-8240issn
1522-9602journal_volume
72pub_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
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doi:10.1007/s11538-018-0426-2
更新日期:2019-11-01 00:00:00
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journal_title:Bulletin of mathematical biology
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doi:10.1007/s11538-019-00650-9
更新日期:2019-10-01 00:00:00
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journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/j.bulm.2003.09.002
更新日期:2004-03-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02462001
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abstract::Recent experimental evidence suggests that vasculogenesis may play an important role in tumour vascularisation. While angiogenesis involves the proliferation and migration of endothelial cells (ECs) in pre-existing vessels, vasculogenesis involves the mobilisation of bone-marrow-derived endothelial progenitor cells (E...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-007-9253-6
更新日期:2007-11-01 00:00:00
abstract::We develop a numerical method for estimating optimal parameters in a mathematical model of the within-host dynamics of malaria infection. The model consists of a quasilinear system of partial differential equations. Convergence theory for the computed parameters is provided. Following this analysis, we present several...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9650-8
更新日期:2011-11-01 00:00:00
abstract::Autoinhibition of neurotransmitter release occurs via binding of transmitter to appropriate receptors. Experiments have provided evidence suggesting that the control of neurotransmitter release in fast systems is mediated by these inhibitory autoreceptors. Earlier, the authors formulated and analysed a mathematical mo...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2000.0174
更新日期:2000-07-01 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
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02460702
更新日期:1993-11-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.1997.0032
更新日期:1998-03-01 00:00:00
abstract::Bacillus subtilis cells may opt to forgo normal cell division and instead form spores if subjected to certain environmental stimuli, for example nutrient deficiency or extreme temperature. The resulting spores are extremely resilient and can survive for extensive periods of time, importantly under particularly harsh c...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9530-7
更新日期:2011-01-01 00:00:00
abstract::When the isothermal semi-logarithmic survival curves of heat inactivated microbial cells or spores are known to be linear it is possible to calculate their survival parameters from curves obtained under nonisothermal conditions, provided that the temperature history ('profile') satisfies certain simple mathematical re...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(02)00097-6
更新日期:2003-03-01 00:00:00
abstract::Integrins mediate cell adhesion and are essential receptors for the development and functioning of multicellular organisms. Integrin activation is known to require both ligand and talin binding and to correlate with cluster formation but the activation mechanism and precise roles of these processes are not yet resolve...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-005-9049-5
更新日期:2006-05-01 00:00:00
abstract::We introduce here a gene evolution model which is an extension of the time-continuous stochastic IDIS model (Lèbre and Michel in J. Comput. Biol. Chem. 34:259-267, 2010) to sequence length. This new IDISL (Insertion Deletion Independent of Substitution based on sequence Length) model gives an analytical expression of ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-012-9735-z
更新日期:2012-08-01 00:00:00
abstract::Fluorescence recovery after photobleaching (FRAP) is used to obtain quantitative information about molecular diffusion and binding kinetics at both cell and tissue levels of organization. FRAP models have been proposed to estimate the diffusion coefficients and binding kinetic parameters of species for a variety of bi...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0241-6
更新日期:2017-03-01 00:00:00
abstract::In phylogenetics, a common strategy used to construct an evolutionary tree for a set of species [Formula: see text] is to search in the space of all such trees for one that optimizes some given score function (such as the minimum evolution, parsimony or likelihood score). As this can be computationally intensive, it w...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-0049-1
更新日期:2015-01-01 00:00:00
abstract::At least four distinct lineages of CD4+ T cells play diverse roles in the immune system. Both in vivo and in vitro, naïve CD4+ T cells often differentiate into a variety of cellular phenotypes. Previously, we developed a mathematical framework to study heterogeneous differentiation of two lineages governed by a mutual...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-015-0076-6
更新日期:2015-06-01 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
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-009-9424-8
更新日期:2009-11-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
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journal_title:Bulletin of mathematical biology
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-009-9397-7
更新日期:2009-07-01 00:00:00
abstract::While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9521-8
更新日期:2010-11-01 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::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
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-013-9904-8
更新日期:2013-12-01 00:00:00
abstract::Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) ha...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-012-9764-7
更新日期:2012-10-01 00:00:00
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journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2002.0305
更新日期:2002-09-01 00:00:00