abstract：:Isotope labeling systems (ILSs) are sets of balance equations that quantitatively describe the distribution of isotopic tracers in metabolic networks. The solution of ILSs, i.e., the calculation of isotopic labeling distributions (mostly in steady state) is the fundamental computational step of (13)C metabolic flux an...

journal_title：Mathematical biosciences

authors： Wiechert W,Nöh K,Weitzel M

更新日期：2013-07-01 00:00:00

abstract：:The interrelationship between pathogen infection and host mobility is of great importance for successful spread of disease in spatial pest population. As spread of infection depends on horizontal transmission of pathogen, there are numerous factors like susceptibility, latent period, host movement that influence overa...

journal_title：Mathematical biosciences

authors： Ghosh S,Bhattacharyya S

更新日期：2013-07-01 00:00:00

abstract：:The ability of an organism to degrade harmful substances to less toxic compounds is referred to as metabolic resistance. The biochemical processes result in a shift of dose-response curves associated with the toxic substances. Hence, the development of metabolic resistance may cause great problems of managing pests an...

journal_title：Mathematical biosciences

authors： Langemann D,Richter O,Vollrath A

更新日期：2013-03-01 00:00:00

abstract：:The acetone-butanol (AB) fermentation process in the anaerobic endospore-forming Gram-positive bacterium Clostridium acetobutylicum is useful as a producer of biofuels, particularly butanol. Recent work has concentrated on trying to improve the efficiency of the fermentation method, either through changes in the envir...

journal_title：Mathematical biosciences

authors： Thorn GJ,King JR,Jabbari S

更新日期：2013-02-01 00:00:00

abstract：:A stochastic model for hospital infection incorporating both direct transmission and indirect transmission via free-living bacteria in the environment is investigated. We examine the long term behavior of the model by calculating a stationary distribution and normal approximation of the distribution. The quasi-station...

journal_title：Mathematical biosciences

authors： Wang X,Xiao Y,Wang J,Lu X

更新日期：2013-01-01 00:00:00

abstract：:Reactivity (a.k.a initial growth) is necessary for diffusion driven instability (Turing instability). Using a notion of common Lyapunov function we show that this necessary condition is a special case of a more powerful (i.e. tighter) necessary condition. Specifically, we show that if the linearised reaction matrix an...

journal_title：Mathematical biosciences

authors： Elragig A,Townley S

更新日期：2012-09-01 00:00:00

abstract：:Beyond control measures imposed by public authorities, human behavioral changes can be triggered by uncoordinated responses driven by the risk perception of an emerging epidemic. In order to account for spontaneous social distancing, a model based on an evolutionary game theory framework is here proposed. Behavioral c...

journal_title：Mathematical biosciences

authors： Poletti P,Ajelli M,Merler S

更新日期：2012-08-01 00:00:00

abstract：:Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. Here, we investigate the two-state Markov model on a tripod tree, inferring conditions under which a given set of observations gives rise to such ...

journal_title：Mathematical biosciences

authors： Klaere S,Liebscher V

更新日期：2012-05-01 00:00:00

abstract：:The resurgence of tuberculosis in the 1990s and the emergence of drug-resistant tuberculosis in the first decade of the 21st century increased the importance of epidemiological models for the disease. Due to slow progression of tuberculosis, the transmission dynamics and its long-term effects can often be better obser...

journal_title：Mathematical biosciences

authors： Ozcaglar C,Shabbeer A,Vandenberg SL,Yener B,Bennett KP

更新日期：2012-04-01 00:00:00

abstract：:We consider the spread of an epidemic through a population divided into n sub-populations, in which individuals move between populations according to a Markov transition matrix Σ and infectives can only make infectious contacts with members of their current population. Expressions for the basic reproduction number, R₀...

journal_title：Mathematical biosciences

authors： Neal P

更新日期：2012-03-01 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

authors： Batzel JJ,Kappel F

更新日期：2011-12-01 00:00:00

abstract：:Bacterial biofilms are complex microbial depositions on immersed interfaces that form wherever the environmental conditions sustain microbial growth. Despite their name, biofilms can develop in highly irregular structures. Recently several mathematical concepts have been introduced to model these spatially structured ...

journal_title：Mathematical biosciences

authors： Muhammad N,Eberl HJ

更新日期：2011-09-01 00:00:00

abstract：:Proteins with multiple binding sites play important roles in cell signaling systems by nucleating protein complexes in which, for example, enzymes and substrates are co-localized. Proteins that specialize in this function are called by a variety names, including adapter, linker and scaffold. Scaffold-mediated nucleati...

journal_title：Mathematical biosciences

authors： Yang J,Hlavacek WS

更新日期：2011-08-01 00:00:00

abstract：:We present a theoretical model for steady-state radial and longitudinal oxygen transport in arterioles containing flowing blood (plasma and red blood cells) and surrounded by living tissue. This model combines a detailed description of convective and diffusive oxygen transport inside the arteriole with a novel boundar...

journal_title：Mathematical biosciences

authors： Moschandreou TE,Ellis CG,Goldman D

更新日期：2011-07-01 00:00:00

abstract：:In this paper, two cancer therapies are investigated through their mathematical models. Namely, angiogenesis inhibition (P. Hahndfeldt, D. Panigrahy, J. Folkman, L. Hlatky, Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy, Cancer Res. 59, 1...

journal_title：Mathematical biosciences

authors： Kassara K,Moustafid A

更新日期：2011-06-01 00:00:00

abstract：:Lateral inhibition, a juxtacrine signalling mechanism by which a cell adopting a particular fate inhibits neighbouring cells from doing likewise, has been shown to be a robust mechanism for the formation of fine-grained spatial patterns (in which adjacent cells in developing tissues diverge to achieve contrasting stat...

journal_title：Mathematical biosciences

authors： O'Dea RD,King JR

更新日期：2011-06-01 00:00:00

abstract：:Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional an...

journal_title：Mathematical biosciences

authors： Banks-Sills L,Ståhle P,Svensson I,Eliaz N

更新日期：2011-03-01 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 number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and deat...

journal_title：Mathematical biosciences

authors： Sriyudthsak K,Shiraishi F

更新日期：2010-11-01 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：:This paper is concerned with the qualitative analysis of two models [S. Bonhoeffer, M. Lipsitch, B.R. Levin, Evaluating treatment protocols to prevent antibiotic resistance, Proc. Natl. Acad. Sci. USA 94 (1997) 12106] for different treatment protocols to prevent antibiotic resistance. Detailed qualitative analysis abo...

journal_title：Mathematical biosciences

authors： Sun HR,Lu X,Ruan S

更新日期：2010-09-01 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

authors： DebRoy S,Kribs-Zaleta C,Mubayi A,Cardona-Meléndez GM,Medina-Rios L,Kang M,Diaz E

更新日期：2010-06-01 00:00:00

abstract：:Two-component systems (TCSs) are widely employed by bacteria to sense specific external signals and conduct an appropriate response via a phosphorylation cascade within the cell. The TCS of the agr operon in the bacterium Staphylococcus aureus forms part of a regulatory process termed quorum sensing, a cell-to-cell co...

journal_title：Mathematical biosciences

authors： Jabbari S,King JR,Williams P

更新日期：2010-06-01 00:00:00

abstract：:This study is a theoretical excursion into gravity models and their usability in evaluating importance of spatial structure and population development for the spread of colonizing organisms. A so called "gravity score" for sites is deduced, and such a score could be used for predicting risk of colonization once one si...

journal_title：Mathematical biosciences

authors： Järemo J

更新日期：2009-11-01 00:00:00

abstract：:The article theoretically regards probability density functions (PDFs) for axial ratio (X/Y) of sectioning profiles of elliptical microvessels (MVs) arranged with anisotropy in a biological tissue volume. A technique for the PDF(X/Y) calculations in anisotropy of the elliptical MVs is described. The essence of this te...

journal_title：Mathematical biosciences

authors： Krasnoperov RA,Gerasimov AN

更新日期：2009-06-01 00:00:00

abstract：:The results of recent experimental and epidemiological studies provide evidence on the connection between carcinogenesis, cancer progression, and aging. Existing models, however, are traditionally focused only on one of these aspects of health deterioration. In this paper, we derive a new model of cancer, which descri...

journal_title：Mathematical biosciences

authors： Yashin AI,Akushevich I,Arbeev K,Akushevich L,Kulminski A,Ukraintseva S

更新日期：2009-04-01 00:00:00

abstract：:In estimating mutation rates using the Luria-Delbrück experimental protocol, it is often assumed that all mutant cells survive the plating procedure to form visible mutant colonies. This assumption of perfect plating efficiency may not hold in certain circumstances, but none of the existing estimation methods that adj...

journal_title：Mathematical biosciences

authors： Zheng Q

更新日期：2008-12-01 00:00:00

abstract：:Many important results in stochastic epidemic modelling are based on the Reed-Frost model or on other similar models that are characterised by unrealistic temporal dynamics. Nevertheless, they can be extended to many other more realistic models thanks to an argument first provided by Ludwig [Final size distributions f...

journal_title：Mathematical biosciences

authors： Pellis L,Ferguson NM,Fraser C

更新日期：2008-11-01 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：:The statistical characterization of the spatial structure of large animal groups has been very limited so far, mainly due to a lack of empirical data, especially in three dimensions (3D). Here we focus on the case of large flocks of starlings (Sturnus vulgaris) in the field. We reconstruct the 3D positions of individu...

journal_title：Mathematical biosciences

authors： Cavagna A,Cimarelli A,Giardina I,Orlandi A,Parisi G,Procaccini A,Santagati R,Stefanini F

更新日期：2008-07-01 00:00:00

abstract：:A mathematical multi-cell model for the in vitro kinetics of the anti-cancer agent topotecan (TPT) following administration into a culture medium containing a population of human breast cancer cells (MCF-7 cell line) is described. This non-linear compartmental model is an extension of an earlier single-cell type model...

journal_title：Mathematical biosciences

authors： Cheung SY,Evans ND,Chappell MJ,Godfrey KR,Smith PJ,Errington RJ

更新日期：2008-06-01 00:00:00

abstract：:The spread of the human immunodeficiency virus (HIV) depends prominently on the migration of people between different regions. An important consequence of this population mobility is that HIV control strategies that are optimal in a regional sense may not be optimal in a national sense. We formulate various mathematic...

journal_title：Mathematical biosciences

authors： Sani A,Kroese DP

更新日期：2008-06-01 00:00:00

abstract：:For a wide range of airborne infectious diseases, transmission within the family or household is a key mechanism for the spread and persistence of infection. In general, household-based transmission is relatively strong but only involves a limited number of individuals in contact with each infectious person. In contra...

journal_title：Mathematical biosciences

authors： House T,Keeling MJ

更新日期：2008-05-01 00:00:00

abstract：:We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection ra...

journal_title：Mathematical biosciences

authors： Sugimine N,Masuda N,Konno N,Aihara K

更新日期：2008-05-01 00:00:00

abstract：:In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) ...

journal_title：Mathematical biosciences

authors： Wang M

更新日期：2008-04-01 00:00:00

abstract：:A model was developed for novel prediction of N-linked glycan branching pattern classification for CHO-derived N-linked glycoproteins. The model consists of 30 independent recurrent neural networks and uses predicted quantities of secondary structure elements and residue solvent accessibility as an input vector. The m...

journal_title：Mathematical biosciences

authors： Senger RS,Karim MN

更新日期：2008-01-01 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

authors： Engen S

更新日期：2007-12-01 00:00:00

abstract：:An integrated methodology is developed for the theoretical analysis of solute transport and reaction in cellular biological media, such as tissues, microbial flocs, and biofilms. First, the method of local spatial averaging with a weight function is used to establish the equation which describes solute conservation at...

journal_title：Mathematical biosciences

authors： Kapellos GE,Alexiou TS,Payatakes AC

更新日期：2007-11-01 00:00:00

abstract：:Transmission of an infectious agent can be quantified from experimental data using the transient-state (TS) algorithm. The TS algorithm is based on the stochastic SIR model and provides a time-dependent probability distribution over the number of infected individuals during an epidemic, with no need for the experiment...

journal_title：Mathematical biosciences

authors： Velthuis AG,De Jong MC,De Bree J

更新日期：2007-11-01 00:00:00

abstract：:Stability of the 'guardian of the genome' tumor suppressor protein p53 is regulated predominantly through its ubiquitination. The ubiquitin-specific protease HAUSP plays an important role in this process. Recent experiments showed that p53 demonstrates a differential response to changes in HAUSP which nature and signi...

journal_title：Mathematical biosciences

authors： Brazhnik P,Kohn KW

更新日期：2007-11-01 00:00:00