Abstract:
:Two algorithms for the efficient identification of segment neighborhoods are presented. A segment neighborhood is a set of contiguous residues that share common features. Two procedures are developed to efficiently find estimates for the parameters of the model that describe these features and for the residues that define the boundaries of each segment neighborhood. The algorithms can accept nearly any model of segment neighborhood, and can be applied with a broad class of best fit functions including least squares and maximum likelihood. The algorithms successively identify the most important features of the sequence. The application of one of these methods to the haemagglutinin protein of influenza virus reveals a possible mechanism for conformational change through the finding of a break in a strong heptad repeat structure.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Auger IE,Lawrence CEdoi
10.1007/BF02458835subject
Has Abstractpub_date
1989-01-01 00:00:00pages
39-54issue
1eissn
0092-8240issn
1522-9602pii
S0092-8240(89)80047-3journal_volume
51pub_type
杂志文章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::Advances in fluorescent labeling of cells as measured by flow cytometry have allowed for quantitative studies of proliferating populations of cells. The investigations (Luzyanina et al. in J. Math. Biol. 54:57-89, 2007; J. Math. Biol., 2009; Theor. Biol. Med. Model. 4:1-26, 2007) contain a mathematical model with fluo...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9524-5
更新日期:2011-01-01 00:00:00
abstract::The asymptotes and transition points of the net CO2 assimilation (A/Ci) rate curves of the steady-state Farquhar-von Caemmerer-Berry (FvCB) model for leaf photosynthesis of C3 plants are examined in a theoretical study, which begins from the exploration of the standard equations of hyperbolae after rotating the coordi...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00676-z
更新日期:2019-12-23 00:00:00
abstract::We investigate how the structure of interactions between coupled oscillators influences the formation of asynchronous patterns in a multilayer network by formulating a simple, general multilayer oscillator model. We demonstrate the analysis of this model in three-oscillator systems, illustrating the role of interactio...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00682-1
更新日期:2019-12-20 00:00:00
abstract::Cancer is a complex phenomenon, and the sheer variation in behaviour across different types renders it difficult to ascertain underlying biological mechanisms. Experimental approaches frequently yield conflicting results for myriad reasons, and mathematical modelling of cancer is a vital tool to explore what we cannot...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00677-y
更新日期:2020-01-22 00:00:00
abstract::Classical evolutionary game theory (EGT) focuses on competition among phenotypes while assuming asexual transmission of these phenotypes to the next generation. However, phenotypic selection and sexual recombination are not necessarily mutually reinforcing in populations with sexual reproduction. In particular, it has...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00705-2
更新日期:2020-02-06 00:00:00
abstract::Here, we consider a game-theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in which individuals are best off cheating, while groups of individuals do best whe...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00742-x
更新日期:2020-05-30 00:00:00
abstract::Population management using artificial gene drives (alleles biasing inheritance, increasing their own transmission to offspring) is becoming a realistic possibility with the development of CRISPR-Cas genetic engineering. A gene drive may, however, have to be stopped. "Antidotes" (brakes) have been suggested, but have ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00668-z
更新日期:2019-12-01 00:00:00
abstract::To analyze signals measured from human blood flow in the time-frequency domain, we used the wavelet transform which gives good time resolution for high-frequency components and good frequency resolution for low-frequency components. Five characteristic frequency peaks, corresponding to five almost periodic rhythmic ac...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.1998.0047
更新日期:1998-09-01 00:00:00
abstract::Hair loss in the autoimmune disease, alopecia areata (AA), is characterized by the appearance of circularly spreading alopecic lesions in seemingly healthy skin. The distinct spatial patterns of AA lesions form because the immune system attacks hair follicle cells that are in the process of producing hair shaft, catap...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00707-0
更新日期:2020-02-24 00:00:00
abstract::In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and e...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0255-8
更新日期:2017-04-01 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::Dispersal heterogeneity is increasingly being observed in ecological populations and has long been suspected as an explanation for observations of non-Gaussian dispersal. Recent empirical and theoretical studies have begun to confirm this. Using an integro-difference model, we allow an individual's diffusivity to be d...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-0014-z
更新日期:2014-11-01 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::We develop a model for describing the dynamics of imatinib-treated chronic myelogenous leukemia. Our model is based on replacing the recent agent-based model of Roeder et al. (Nat. Med. 12(10):1181-1184, 2006) by a system of deterministic difference equations. These difference equations describe the time-evolution of ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-007-9276-z
更新日期:2008-04-01 00:00:00
abstract::The propagation of fire-diffuse-fire Ca(2+) waves through a three-dimensional rectangular domain is considered. The domain is infinite in extent in the direction of propagation but with lateral barriers to diffusion which contain Ca(2+) pumps. The Ca(2+) concentration profile due to the firing of a release site (spark...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(03)00074-0
更新日期:2004-01-01 00:00:00
abstract::This paper develops mathematical theory to determine the representativeness of clone libraries for various models, defined below in the text. In particular, the means and variances of fragment lengths and the mean of the length of a randomly selected fragment are determined, as well as the probability of the event tha...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2001.0251
更新日期:2001-09-01 00:00:00
abstract::Metaecoepidemic models generalize metapopulation systems, combining local population dynamics with inter-patch migration coupled with an epidemic proliferation. A resource-consumer model is introduced with an ecosystem composed by two patches, in which consumers can freely move. A disease affects resources of the seco...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00764-5
更新日期:2020-07-07 00:00:00
abstract::The surface protein B7-H1, also called PD-L1 and CD274, is found on carcinomas of the lung, ovary, colon, and melanomas but not on most normal tissues. B7-H1 has been experimentally determined to be an antiapoptotic receptor on cancer cells, where B7-H1-positive cancer cells have been shown to be immune resistant, and...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9665-1
更新日期:2012-01-01 00:00:00
abstract::We describe a new model for laser-induced retinal damage. Our treatment is prompted by the failure of the traditional approach to accurately describe the image size dependence of laser-induced retinal injuries and by a recently reported study which demonstrated that laser injuries to the retina might not appear for up...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/S0092-8240(03)00028-4
更新日期:2003-07-01 00:00:00
abstract::Mathematical models have been used to simulate HIV transmission and to study the use of preexposure prophylaxis (PrEP) for HIV prevention. Often a single intervention outcome over 10 years has been used to evaluate the effectiveness of PrEP interventions. However, different metrics express a wide variation over time a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-013-9824-7
更新日期:2013-04-01 00:00:00
abstract::In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of can...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0258-5
更新日期:2017-04-01 00:00:00
abstract::Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees, and consequently, a site pattern probability distribution. It has been shown that the unrooted topology of the species tree parameter of the multispecies coalescen...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0456-9
更新日期:2019-02-01 00:00:00
abstract::Cycles in biological populations have been shown to arise from enemy-victim systems, delayed density dependence, and maternal effects. In an initial effort to model the year-to-year dynamics of natural populations of entomopathogenic nematodes and their insect hosts, we find that a simple, nonlinear, mechanistic model...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/j.bulm.2003.09.005
更新日期:2004-05-01 00:00:00
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::With increasing fishing pressures having brought several stocks to the brink of collapse, there is a need for developing efficient harvesting methods that account for factors beyond merely yield or profit. We consider the dynamics and management of a stage-structured fish stock. Our work is based on a consumer-resourc...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-012-9789-y
更新日期:2013-01-01 00:00:00
abstract::The tumor promoter, phorbol 12-myristate 13-acetate (PMA), affects the processing of fluid that enters a cell from the ambient medium. Previous work showed that marker accumulates to a higher level in PMA-treated than in untreated cells. Since PMA also affects the physical activity of the membrane and stimulates the n...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2001.0216
更新日期:2001-05-01 00:00:00
abstract::This study investigates fluid flow and elastic deformation in tissues that are drained by the primary lymphatic system. A model is formulated based on the Rossi hypothesis that states that the primary lymphatic valves, which are formed by overlapping endothelial cells around the circumferential lining of lymphatic cap...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-015-0078-4
更新日期:2015-06-01 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::We investigate the existence of oscillatory dynamics and multiple steady-state flow rates in a network with a simple topology and in vivo microvascular blood flow constitutive laws. Unlike many previous analytic studies, we employ the most biologically relevant models of the physical properties of whole blood. Through...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-015-0089-1
更新日期:2015-07-01 00:00:00