Showing papers in "Bulletin of Mathematical Biology in 2021"

TL;DR: By applying sequential data assimilation to the stochastic SEIR epidemic model, it is shown that this model can capture the dynamic behavior of outbreaks on a regional level and more realistic epidemic models are within reach.

TL;DR: In this article, a simple model of propagation of epidemics is proposed, which exhibits this effect and allows for a quantitative analysis, based on a classical SIR model with diffusion, to which an additional compartment is added, formed by the infected individuals travelling on a line of fast diffusion.

TL;DR: In this paper, a stochastic competition chemostat model with general monotonic response functions and differential removal rates is presented and boundedness of the unique positive solution is first obtained.

TL;DR: Wang et al. as discussed by the authors proposed a mathematical model of 3D in vitro tumour spheroid growth with fluorescent ubiquitination-based cell cycle indicator (FUCCI) labeling.

TL;DR: In this article, the authors present a constructive framework for identifying reaction-diffusion systems that exhibit the Turing instability within this region, whilst in addition often allowing selection of desired patterning features, such as spots, or stripes.

TL;DR: In this paper, the authors used numerical simulations of treatment plans from within the scope of current medical practice to assess the effect of preconditioning plans on the success of CAR T-cell therapy.

TL;DR: In this paper, a generalisation of the Fisher-KPP model is proposed to model a range of invasive phenomena, including ecological and cellular invasion, where the spatial extent of the population decreases with time.

TL;DR: In this paper, a periodic reaction diffusion model of the Zika virus with seasonal and spatial heterogeneous structure in host and vector population is proposed, and the basic reproduction ratio is introduced.

TL;DR: In this article, the authors present a classic SEIR model taking into account the daily movements of individuals in different places, coupled with a model of protection against the epidemic by the use of masks.

TL;DR: In this article, a stochastic model was proposed to describe promoter switching, initiation, elongation, premature detachment, pausing, and termination of the nascent RNA in a gene.

TL;DR: In this article, an ordinary differential equation model of the intra-host immune response to SARS-CoV-2 infection is presented, fitted to experimental data gleaned from rhesus macaques.

TL;DR: In this paper, a set of mixed boundary conditions for a two-species reaction-diffusion system which forms inhomogeneous solutions away from the boundary of the domain for a variety of different reaction kinetics is proposed.

TL;DR: In this paper, a stochastic, within-host model of antibody responses to Plasmodium vivax infection was introduced, and the distribution of relapses in a general transmission setting was derived.

TL;DR: In this paper, a mathematical model to study the influence of hypoxia and acidity on the evolutionary dynamics of cancer cells in vascularised tumours is presented, which is formulated as a system of partial integro-differential equations that describe the phenotypic evolution of cancer cell in response to dynamic variations in the spatial distribution of three abiotic factors that are key players in tumour metabolism: oxygen, glucose and lactate.

TL;DR: This article explored the literature on recommendations and best practices for how to make ecological models useful to the management of ecosystems and searched for "success stories" from the past, and selected and examined several cases where models were instrumental in ecosystem management.

TL;DR: In this paper, the authors formulate a continuous model to understand the dynamics and structure of such groups, splitting a population into separate follower and leader types with distinct orientation responses, and find that successful leadership can occur for each of these three mechanisms across a broad region of parameter space, with conspicuousness-bias emerging as the most robust.

TL;DR: In this paper, the authors used a dynamic model to assess HPV vaccination strategies in a heterosexual population combined with gay, bisexual, and other men who have sex with men (MSM), and derived a threshold parameter, based on basic reproduction numbers, for model analysis.

TL;DR: In this paper, a mathematical model for dynamics of cassava mosaic disease that includes immature and mature vectors and explicitly includes a time delay representing vector maturation time is proposed. And conditions of biological feasibility and stability of different steady states in terms of system parameters and the time delay are identified.

TL;DR: In this paper, the authors consider the properties of a slow-fast prey-predator system in time and space and show that a decrease in the timescale ratio may lead to another regime shift where the spatiotemporal pattern becomes spatially correlated, leading to large-amplitude oscillations in spatially average population densities.

TL;DR: In this article, the authors incorporate consideration of releasing infected sterile mosquitoes and spraying pesticides to aim to reduce wild mosquito populations based on the population replacement model, and they present the estimations for the number of wild mosquitoes or infection density in a normal environment and then discuss how to offset the effect of the heatwave, which can cause infected mosquitoes to lose Wolbachia infection.

TL;DR: In this paper, a spatially heterogeneous dog rabies model was developed by using the [Formula: see text]-diffusion equation, where individual dogs make movement decisions in the underlying random walk.

TL;DR: Numerical simulations support the outcomes of the mathematical analysis, according to which the removal of a suitable amount of weed biomass from olive orchards and surrounding areas resulted in the most efficient strategy to control the spread of the OQDS.

TL;DR: In this article, the authors proposed simple rules to model the propagation of behaviors that modify the level of effort, and analyzed their impact on the dynamics of the disease, and derived a two dimensional set of ordinary differential equations describing the dynamic of the proportion of the number of infected individuals and the mean value of the effort parameter.

TL;DR: In this article, a methodological approach to patient-specific modelling of blood coagulation is proposed, based on conventional thrombin generation tests allowing the determination of parameters of a reduced kinetic model.

TL;DR: In this paper, the authors investigated how natural killer (NK) cell recruitment to the tumor microenvironment (TME) affects oncolytic virotherapy and found that NK cell recruitment must take place neither too early nor too late in the course of OV infection so that treatment will be successful.

TL;DR: In this paper, the authors examine the challenges and opportunities inherent in the use of social media data in infectious disease modeling with particular focus on their inclusion in compartmental models and reveal emergent behaviour that does not occur in engagement with traditional mass media or conventional surveys.

TL;DR: In this paper, a multi-scale nested immuno-epidemiological model of HIV on complex networks is proposed and proved the existence and uniqueness of the immunological model and established the well-posedness of the multiscale model.

TL;DR: In this article, the authors study the evolution of dispersal in advective three-patch models with distinct network topologies and show that if all drift rates are the same, the faster dispersal rate is selected for all three models.

TL;DR: In this paper, a mathematical model of ATM/ATR crosstalk was proposed to analyze the effects of repair pathways, pro-apoptotic signaling kinases, and signals induced by damage by-products.

TL;DR: A non-autonomous model with time-dependent mosquito birth, death and biting rates to integrate the impact of the periodicity of weather on the spread of Zika virus disease is applied.