Showing papers in "Bulletin of Mathematical Biology in 2013"

TL;DR: The main finding is that the neural ring and a related neural ideal can be expressed in a “canonical form” that directly translates to a minimal description of the receptive field structure intrinsic to the code, providing the groundwork for inferring stimulus space features from neural activity alone.

TL;DR: An unexpected equivalence between deterministic Laplacian dynamics and the master equations of continuous-time Markov processes is revealed, which allows rigorous treatment within the framework of stochastic, single-molecule mechanisms.

TL;DR: It is shown that Wolbachia has excellent potential for dengue control in areas where R0 is not too large, and unless control measures to reduce R0 by reducing mosquito populations are also put in place, it may be worth the extra effort in such cases to introduce Wolbachian strains that eliminate denge transmission completely.

TL;DR: A mathematical model of a heterogeneous population of CSCs and TCs is developed to investigate the proposed “tumor growth paradox” and shows how numerical results from the model also further the understanding of how the fraction of cancer stem cells in a solid tumor evolves.

TL;DR: In this paper, a set of biologically-motivated, cell behavioral rules, including chemotaxis, haptotaxis and haptokinesis, and ECM-guided proliferation are used for forming sprouts and branching vascular trees.

TL;DR: The genome of Drosophila melanogaster has been considered by focusing on the chromosome 3r, which shows the highest fractality with a corresponding higher level of complexity, and it is shown that sequences with higher FD also have a higher frequency distribution of guanine, while low FD is characterized by the higher presence of adenine.

TL;DR: It is found that hindered transport leads to the formation of smaller and denser clots compared to the case with no protein hindrance, and a possible physical mechanism for limiting thrombus growth is suggested.

TL;DR: A mathematical model is developed that incorporates the cross-talk between stromal and tumor cells, which can predict how perturbations of the local biochemical and mechanical state influence tumor evolution and suggest how epigenetic changes in transformed cells affect tumor progression.

TL;DR: A linear stability analysis of the steady state solutions identified conditions for Turing instability pattern formation and solved the model equations numerically using parameter values obtained from previous experimental results for HIV infections.

TL;DR: It is shown in this paper that Fick’s diffusion law does not explain such a starvation driven diffusion correctly and a Fokker–Planck type diffusion law is obtained.

TL;DR: In this paper, the formation of a monolayer of cells using two different cell types, 3T3 fibroblast cells and MDA MB 231 breast cancer cells, was investigated.

TL;DR: A model for ‘tik’ use is considered that tracks drug-supply chains, and accounts for rehabilitation and amelioration for the addicted, and it is proved that the drug-free equilibrium is globally stable when the reproduction number is less than one.

TL;DR: Numerical examples illustrate some differences between the stochastic models and the deterministic model, important for prevention of disease outbreaks that depend on the location of infectious individuals, the risk of infection, and the movement of individuals.

TL;DR: The spatial pattern formation of attack clusters in a system for Mountain Pine Beetle is investigated to clarify the spatial mechanisms controlling the transition from incipient to epidemic populations and may lead to control measures which protect forests from Mountain Pine beetle outbreak.

TL;DR: The distribution of burst times is determined and used as a basis for the development of exact simulation algorithms for gene expression dynamics and reveals a number of qualitatively distinct scenarios with implications for the modelling of cell-fate selection.

TL;DR: The SIS and SIR epidemic models on undirected, weighted networks are studied by deriving pairwise-type approximate models coupled with individual-based network simulation by exploiting agreement between the pairwise and simulation models for different parameter combinations.

TL;DR: The statistical averages are used to build a refined Gaussian Network Model, which is able to predict residue-level structural fluctuations significantly better than the conventional Gaussian network Model in many test cases.

TL;DR: In this article, a sign condition that is necessary and sufficient for multistationarity in n-site sequential, distributive phosphorylation networks is presented, and a collection of feasible linear systems are presented, for n ≥ 2.

TL;DR: Focusing on Boolean networks, some definitions concerning the notion of functionality are recalled and proposed and some results are proposed along with associated mathematical results.

TL;DR: By studying an SI-type disease in the predator population of a Rosenzweig–MacArthur model, a wealth of complex dynamics that do not exist in the absence of the disease are found, some of which are irreversible.

TL;DR: It is demonstrated that osteoblasts are highly contractile and that significant changes to the cell and nucleus geometries occur when stress fiber contractility is removed.

TL;DR: A deterministic mathematical model of HIV transmission is developed and used to evaluate the public- health impact of oral PrEP interventions and suggests that public-health officials considering adopting PrEP in HIV prevention programs can make better informed decisions by employing a set of complementing quantitative metrics.

TL;DR: A Kermack–McKendrick discrete-time general framework, motivated by the emergence of a multitude of models used to forecast the dynamics of epidemics, is introduced in this manuscript and results that allow us to measure quantitatively the role of classical and general distributions on disease dynamics are presented.

TL;DR: A three-patch model is proposed for the process by which animals enter Egypt from Sudan, are moved up the Nile, and then consumed at population centers, showing a possible explanation of the observed phenomenon of the geographic spread of RVF in Egypt.

TL;DR: Wavepeeds indicate that as the temperature decreases within the optimal temperature range for mosquito survival, the speed of a Wolbachia invasion increases for Aedes aegypti populations and decreases for Drosophila simulans populations.

TL;DR: This paper analytically investigates the conditions under which the characteristic specific to the 3-state model, namely the monoexponential photocurrent decay of the newly developed variants of ChR2, can occur in the framework of the 4- state model.

TL;DR: Results show the effectiveness of the proposed tools for analyzing update robustness as well as the discovery of new information related to the attractors of the yeast cell cycle models considering all the possible deterministic dynamics, which previously have only been studied considering the parallel updating scheme.

TL;DR: This work presents the first large-scale dynamical model of the infection and replication cycle of influenza, as well as some of its interactions with the host’s signaling machinery, and suggests that a drug targeting PB1:PA would be more efficient than existing Amantadin/Rimantaine or Zanamivir/OseltamivIR.

TL;DR: The classical virus dynamics model is modified by incorporating an immune response with fixed or fluctuating vaccination frequencies and dosages to obtain a system of impulsive differential equations for the virus dynamics of both the wild-type and mutant strains.

TL;DR: This paper is specifically concerned with the quantification of the spread of a disease modeled by a Markov chain and presents two alternative measures, namely, the exact reproduction number, Re0, and the population transmission number, Rp, that overcome this difficulty and provide valuable insight.