Structural identifiability of models characterizing saturable binding: comparison of pseudo-steady-state and non-pseudo-steady-state model formulations.

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

authors： Tal O,Tran TD

更新日期：2018-12-01 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

authors： Fonseca LL,Voit EO

更新日期：2015-12-01 00:00:00

abstract：:There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While the effects of nutrient deficiency on consumer growth are well understood, recent d...

journal_title：Mathematical biosciences

authors： Peace A,Zhao Y,Loladze I,Elser JJ,Kuang Y

更新日期：2013-08-01 00:00:00

abstract：:Statistical consistency in phylogenetics has traditionally referred to the accuracy of estimating phylogenetic parameters for a fixed number of species as we increase the number of characters. However, it is also useful to consider a dual type of statistical consistency where we increase the number of species, rather ...

journal_title：Mathematical biosciences

authors： Gascuel O,Steel M

更新日期：2010-10-01 00:00:00

abstract：:In this paper, we investigate the effects of recurring mass gathering event on the spread of an epidemic. Mass gatherings take place when a large number of people from different locations visit a particular region during a short time period. Such activity plays a crucial role in the epidemic spread as traveling facili...

journal_title：Mathematical biosciences

authors： Xu F,Connell McCluskey C

更新日期：2019-06-01 00:00:00

abstract：:A multicompartmental model is proposed to deal with the spread of the HIV epidemic. Stratification with respect to high- and low-risk groups is taken into account, introducing a "fuzzy" decomposition of the compartment of susceptibles. The infectivity period is staged using different levels of CD4 cell counts. Asympto...

journal_title：Mathematical biosciences

authors： Rossi C

更新日期：1991-12-01 00:00:00

abstract：:When comparing the performance of a stochastic model of an epidemic at two points in a parameter space, a threshold is said to have been crossed when at one point an epidemic develops with positive probability; while at the other there is a tendency for an epidemic to become extinct. The approach used to find threshol...

journal_title：Mathematical biosciences

authors： Gallop RJ,Mode CJ,Sleeman CK

更新日期：2002-05-01 00:00:00

abstract：:Cooperating behaviors abound across all domains of life, but are vulnerable to invasion by cheaters. An important evolutionary question is to determine mechanisms that stabilize and maintain cooperation levels and prevent population collapse. Policing is one strategy populations may employ to achieve this goal, and it...

journal_title：Mathematical biosciences

authors： Lynn BK,De Leenheer P

更新日期：2019-10-01 00:00:00

abstract：:The effects of pulsatile GnRH stimulation on anterior pituitary cells are studied using perifusion cell cultures, where constantly moving culture medium over the immobilized cells allows intermittent GnRH delivery. The LH content of the outgoing medium serves as a readout of the GnRH signaling pathway activation in th...

journal_title：Mathematical biosciences

authors： Temamogullari NE,Nijhout HF,C Reed M

更新日期：2016-06-01 00:00:00

abstract：:An inherent problem in studying the behavior of a metabolic pathway is the impossibility of developing a complete, detailed model that includes all the cellular processes that have an impact on the set of fluxes in such a pathway. Lacking this, one requires some means of modeling the interactions between a metabolic p...

journal_title：Mathematical biosciences

authors： Schlosser PM,Bailey JE

更新日期：1990-06-01 00:00:00

abstract：:To control emerging infectious diseases like SARS, it is necessary to resort to basic control measures that limit exposures to infectious individuals. These measures include isolating cases at diagnosis, quarantining household members and tracing contacts of diagnosed cases, providing the community with advice on how ...

journal_title：Mathematical biosciences

authors： Becker NG,Glass K,Li Z,Aldis GK

更新日期：2005-02-01 00:00:00

abstract：:The search for systematic methods to deal with the integrated behavior of complex biochemical systems has over the past two decades led to the proposal of several theories of biochemical systems. Among the most promising is biochemical systems theory (BST). Recent comparisons of this theory with several others that ha...

journal_title：Mathematical biosciences

authors： Sorribas A,Savageau MA

更新日期：1989-06-01 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

authors： Nargis NN,Aldredge RC,Guy RD

更新日期：2018-02-01 00:00:00

abstract：:Based on previously published experimental observations and mathematical models for Hes1, p53 and NF-kappaB gene expression, we improve these models through a distributed delay formulation of the time lag between transcription factor binding and mRNA production. This description of natural variability for delays intro...

journal_title：Mathematical biosciences

authors： Rateitschak K,Wolkenhauer O

更新日期：2007-02-01 00:00:00

abstract：:To understand how a gene regulatory network functioning as an oscillator is built, a genetic regulatory network with two transcriptional delays is investigated. We show by mathematical analysis and simulation that autorepression of mRNA and protein can provide a mechanism for the intracellular oscillator. Based on the...

journal_title：Mathematical biosciences

authors： Xiao M,Cao J

更新日期：2008-09-01 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

authors： Slavík P,Bell J

更新日期：1995-11-01 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

authors： Hethcote HW

更新日期：1997-10-15 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

authors： Dayananda PW,Taylor JM,Whiting DG

更新日期：2003-04-01 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

authors： Ovaskainen O

更新日期：2003-02-01 00:00:00

abstract：:A mathematical model of the T-lymphocyte proliferation process (in vivo and in vitro) is presented. This model takes into account cell-cycle progression and the regulation by lymphokines (lymphocyte activating factor interleukin 1 and T-cell growth factor interleukin 2). Using data on the generalized picture of the sh...

journal_title：Mathematical biosciences

authors： Sidorov IA,Romanyukha AA

更新日期：1993-06-01 00:00:00

abstract：:Synthetic biology has shown its potential and promising applications in the last decade. However, many synthetic gene networks cannot work properly and maintain their desired behaviors due to intrinsic parameter variations and extrinsic disturbances. In this study, the intrinsic parameter uncertainties and external di...

journal_title：Mathematical biosciences

authors： Chen BS,Chang CH,Wang YC,Wu CH,Lee HC

更新日期：2011-03-01 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

authors： Kubota K,Twizell EH

更新日期：1992-03-01 00:00:00

abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...

journal_title：Mathematical biosciences

authors： Colli Franzone P,Guerri L,Pennacchio M,Taccardi B

更新日期：1998-07-01 00:00:00

abstract：:Cyclic four-state models are frequently used in biology to represent a variety of molecular behaviors. A common experimental strategy to test such models is to follow the behavior of the real system after some of the rate constants are changed in a stepwise manner. We analyze the mathematical behavior of a simple exam...

journal_title：Mathematical biosciences

authors： Lazalde CA,Barr L

更新日期：1992-11-01 00:00:00

abstract：:Closure operations are a useful device in both the theory and practice of tree reconstruction in biology and other areas of classification. These operations take a collection of trees (rooted or unrooted) that classify overlapping sets of objects at their leaves, and infer further tree-like relationships. In this pape...

journal_title：Mathematical biosciences

authors： Grünewald S,Steel M,Swenson MS

更新日期：2007-08-01 00:00:00

abstract：:We consider a population with two types of individuals: those who engage in risky sexual behavior (the core) and those who do not (the majority). We are interested in the situation where the majority would not be able to sustain an epidemic without the presence of a core. We show that even if the core is randomly spre...

journal_title：Mathematical biosciences

authors： Schinazi RB

更新日期：2001-09-01 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

authors： Maruyama J,Seno H

更新日期：1999-03-01 00:00:00

abstract：:In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs) is investigated. The developed method is an integral sliding mode control based redesign for a class of perturbed dissipative switched GRNs with time delays. The control law is redesigned by modifying the dissipativity-based...

journal_title：Mathematical biosciences

authors： Moradi H,Majd VJ

更新日期：2016-05-01 00:00:00

abstract：:Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set X of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate processes (for example, hybrid evolution, endosymbiosis, and lateral gene transfer). A...

journal_title：Mathematical biosciences

authors： Erdős PL,Semple C,Steel M

更新日期：2019-07-01 00:00:00

abstract：:A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...

journal_title：Mathematical biosciences

authors： Ross RJ,Yates CA,Baker RE

更新日期：2015-06-01 00:00:00