Showing papers in "Bulletin of Mathematical Biology in 2019"

TL;DR: The emerging trend in mathematical oncology publications to predict novel, optimal, sometimes even patient-specific treatments is discussed, and a convention when to use a model to Predict novel treatments and, probably more importantly, when not to is proposed.

TL;DR: This work uses Bayesian analysis and information criteria to demonstrate that model selection and model validation should account for both residual errors and model complexity, which are often overlooked in the mathematical biology literature.

TL;DR: This work introduces a novel approach for the reconstruction of nonparametric time-dependent transmission rates by projecting onto a finite subspace spanned by Legendre polynomials and compares three regularization algorithms: variational (Tikhonov’s) regularization, truncated singular value decomposition (TSVD), and modified TSVD to determine the stabilizing strategy that is most effective in terms of reliability of forecasting from limited data.

TL;DR: Using computational simulations, this model captures all the key steps of the invasion-metastasis cascade and supports the evidence-based hypothesis that the membrane-bound MT1-MMP is the main driver of invasive spread rather than diffusible MDEs such as MMP-2.

TL;DR: This review critically address a number of open questions surrounding Brownian dynamics, including how can they be justified physically?

TL;DR: In this article, it was shown that for certain reaction networks whose steady states admit a positive parametrization, multistationarity is characterized by whether a certain critical function changes sign.

TL;DR: It is found that in some parameter regimes, some of these factors have a negligible effect on the long-time patterned state and that anisotropic growth can produce qualitatively different patterns to those formed under isotropic growth.

TL;DR: The approach to inference is simple-to-implement, computationally efficient, and well suited for many cell biology phenomena that can be described by low-dimensional continuum models using ordinary differential equations and partial differential equations.

TL;DR: In an epidemic of a serious disease, there is likely to be behavioral response that decreases the epidemic size considerably, and taking this into account may lead to estimates of the final epidemic size that are much smaller and more realistic than estimates that do not take this into consideration.

TL;DR: In this paper, a class of diffusion-taxis equations for modeling inter-population movement responses between [Formula: see text] populations are used to understand between-population animal movement for understanding spatial species distributions, something that is typically ignored in species distribution modelling.

TL;DR: This work defines and analyzes two analogues of principal component analysis in the setting of tropical geometry and gives approximative algorithms for both approaches and applies them to phylogenetics, testing the methods on simulated phylogenetic data and on an empirical dataset of Apicomplexa genomes.

TL;DR: This work considers the two-scale dynamic cross-talk between cancer cells and a two-component ECM (consisting of both a fibre and a non-fibre phase) and incorporates the interlinked two- scale dynamics of cell–ECM interactions within the tumour support that contributes simultaneously both to cell adhesion and to the dynamic rearrangement and restructuring of the ECM fibres.

TL;DR: In this paper, a simple functional neuronal model is proposed to explain the extreme selectivity of single neurons to the information content, simultaneous separation of several uncorrelated stimuli or informational items from a large set, and dynamic learning of new items by associating them with already known ones.

TL;DR: A new determinant criterion to decide whether a network is multistationary is provided, which applies when the network obtained by removing intermediates has a binomial steady-state ideal.

TL;DR: This work investigates the emergence of oscillations in one of the simplest cellular signaling networks exhibiting oscillations, namely the dual-site phosphorylation and dephosphorylation network (futile cycle), in which the mechanism for phosphorylated is processive while the one for deph phosphate is distributive (or vice versa).

TL;DR: In this paper, a mathematical model for prescription drug addiction and treatment with parameters and validation based on data from the opioid epidemic is presented, which shows that no addiction-free equilibrium can exist without stringent control over how opioids are administered and prescribed, in which case the epidemic would cease to be self-sustaining.

TL;DR: In this paper, the authors consider a reaction-diffusion system modeling the release of a gene drive and a brake in a wild-type population and prove that whenever the drive fitness is at most 1/2 while the brake fitness is close to 1, coextinction of the brake and the drive occurs in the long run.

TL;DR: In this article, a general approach to deriving quasi-steady-state approximations (QSSAs) of the stochastic reaction networks describing the Michaelis-Menten enzyme kinetics is presented.

TL;DR: A mathematically identical ODE model from a PDE model is derived, which helps to overcome the limitations of the PDEmodel with regard to clinical data analysis and provides insight into the global stability of all possible steady states of the ODEmodel.

TL;DR: Problems of reproducibility in agent-based simulations of life and social science problems are discussed, drawing on best practices research in computer science and in wet-lab experiment design and execution to suggest some ways to improve simulation research practice.

TL;DR: This work studies a continuous tubular system with spatially heterogeneous residual stress via a novel discretization approach which allows it to show explicitly that the stability of the homeostatic state depends nontrivially on the anisotropy of the growth response.

TL;DR: The theoretical results are applied to specific discrete-time epidemic models that are formulated for SEIR infections, cholera in humans and anthrax in animals and show that a unique endemic equilibrium of each of the three specific disease models is asymptotically stable.

TL;DR: An improved mathematical model of population dynamics of mosquito-borne disease transmission 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.

TL;DR: This paper formalizes a framework to facilitate the connection between small-scale movement and patch-level predictions of persistence through a mechanistic model based on reaction-diffusion equations and suggests a ranking of the most important model parameters based on which parameter will cause the largest output variance.

TL;DR: The mathematically rigorous definition of fitness is defined based on the concept of the ranking of competing strategies which compares the long-term dynamics of measures of sets of inherited units in the space of strategies to describe the selection of strategies in deterministic self-replicating systems for generic modelling settings which involve an arbitrary function space of inherited strategies.

TL;DR: New mathematical estimation approaches to determine target occupancy, using maximum likelihood, form the basis for development of improved PET covariance models, in order to minimize bias and variance in PET occupancy studies.

TL;DR: In this paper, the authors provide a high-level description of the algorithms underlying the simulation engines, termed network-free simulation algorithms, and how they have been applied in systems biology research.

TL;DR: This paper develops a systematic investigation of social dilemmas on all group sizes and shows the effect of variability in group sizes for the example of a population comprising negative binomially distributed group sizes.

TL;DR: This study applies the Bayesian paradigm for parameter identification to a well-studied semi-linear reaction–diffusion system with activator-depleted reaction kinetics, posed on stationary as well as evolving domains, and can prove well-posedness results for the inverse problem.

TL;DR: In this article, the authors show that level-k tree-child networks are encoded by their reticulate-edge-deleted subnetworks, which are sub-networks obtained by deleting a single reticulation edge, if k>=2.