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Impact of Climate Change on Vegetation Patterns in Altay Prefecture, China Math. Med. Biol. (IF 1.1) Pub Date : 2024-02-29 Li Li, Yi-Zhi Pang, Gui-Quan Sun, Shigui Ruan
Altay Prefecture, a typical arid region in northwestern China, has experienced the climate transition from warming-drying to warming-wetting since 1980s and has attracted widespread attention. Nonetheless, it is still unclear how climate change has influenced the distribution of vegetation in this region. In this paper, a reaction-diffusion model of the climate-vegetation system is proposed to study
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Dosage optimization for reducing tumor burden using a phenotype-structured population model with a drug-resistance continuum Math. Med. Biol. (IF 1.1) Pub Date : 2024-02-26 Lifeng Han, Osman N Yogurtcu, Marisabel Rodriguez Messan, Wencel Valega-Mackenzie, Ujwani Nukala, Hong Yang
Drug resistance is a significant obstacle to effective cancer treatment. To gain insights into how drug resistance develops, we adopted a concept called fitness landscape and employed a phenotype-structured population model by fitting to a set of experimental data on a drug used for ovarian cancer, Olaparib Our modeling approach allowed us to understand how a drug affects the fitness landscape and
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Asymptotic properties of the Lotka-Volterra competition and mutualism model under stochastic perturbations Math. Med. Biol. (IF 1.1) Pub Date : 2024-01-30 Leonid Shaikhet, Andrei Korobeinikov
Stochastically perturbed models, where the white noise type stochastic perturbations are proportional to the current system state, the most realistically describe real-life biosystems. However, such models essentially have no equilibrium states apart from one at the origin. This feature makes analysis of such models extremely difficult. Probably, the best result that can be found for such models is
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A Model of Individual BMI Trajectories Math. Med. Biol. (IF 1.1) Pub Date : 2024-01-03 Laurens Bogaardt, Anoukh Van Giessen, H Susan J Picavet, Hendriek C Boshuizen
A risk factor model of BMI is an important building block of health simulations aimed at estimating government policy effects with regard to overweight and obesity. We created a model which generates representative population level distributions and which also mimics realistic BMI trajectories at an individual level so that policies aimed at individuals can be simulated. The model is constructed by
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Pattern formation and travelling waves in a multiphase moving boundary model of tumour growth Math. Med. Biol. (IF 1.1) Pub Date : 2023-11-24 Jacob M Jepson, Reuben D O’dea, John Billingham, Nabil T Fadai
We employ the multiphase, moving boundary model of [5] that describes the evolution of a motile, viscous tumour cell phase and an inviscid extracellular liquid phase. This model comprises two partial differential equations that govern the cell volume fraction and the cell velocity, together with a moving boundary condition for the tumour edge, and here we characterise and analyse its travelling-wave
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Effects of Vaccination on the Two-strain Transmission Dynamics of COVID-19: Dougherty County, Georgia, USA as a Case Study Math. Med. Biol. (IF 1.1) Pub Date : 2023-11-15 Buddhi Pantha, Jemal Mohammed-Awel, Naveen K Vaidya
The emergence of multiple strains of SARS-COV-2 has made it complicated to predict and control the COVID-19 pandemic. Although some vaccines have been effective in reducing the severity of the disease, these vaccines are designed for a speciffic strain of the virus and are usually less effective for other strains. In addition, the waning of vaccine-induced immunity, reinfection of recovered people
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Which airways should we treat? Structure-function relationships and estimation of the singular input modes from the forward model alone Math. Med. Biol. (IF 1.1) Pub Date : 2023-09-30 G M Donovan
Structure-function relationships occur throughout the sciences. Motivated by optimisation of such systems, we develop a framework for estimating the input modes from the singular value decomposition from the action of the forward operator alone. These can then be used to determine the input (structure) changes which induce the largest output (function) changes. The accuracy of the estimate is determined
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Quantifying assays: Inhibition of signalling pathways of cancer Math. Med. Biol. (IF 1.1) Pub Date : 2023-09-04 Roumen Anguelov, G Manjunath, Avulundiah E Phiri, Trevor T Nyakudya, Priyesh Bipath, June C Serem, Yvette N Hlophe
Inhibiting a signalling pathway concerns controlling the cellular processes of a cancer cell's viability, cell division, and death. Assay protocols created to see if the molecular structures of the drugs being tested have the desired inhibition qualities often show great variability across experiments, and it is imperative to diminish the effects of such variability while inferences are drawn. In this
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A dynamical model of TGF-β activation in asthmatic airways Math. Med. Biol. (IF 1.1) Pub Date : 2023-06-08 Hannah J Pybus, Reuben D O’dea, Bindi S Brook
Excessive activation of the regulatory cytokine transforming growth factor β (TGF-β) via contraction of airway smooth muscle (ASM) is associated with the development of asthma. In this study, we develop an ordinary differential equation model that describes the change in density of the key airway wall constituents, ASM and extracellular matrix (ECM), and their interplay with subcellular signalling
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COVID-19 immunotherapy A mathematical model Math. Med. Biol. (IF 1.1) Pub Date : 2023-04-11 J N Tavares, Emilie Gomes
The pandemic caused by SARS-CoV-2 is responsible for a terrible health devastation with profoundly harmful consequences for the economic, social and political activities of communities on a global scale. Extraordinary efforts have been made by the world scientific community, who, in solidarity, shared knowledge so that effective vaccines could be produced quickly. However, it is still important to
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A generalized order mixture model for tracing connectivity of white matter fascicles complexity in brain from diffusion MRI Math. Med. Biol. (IF 1.1) Pub Date : 2023-04-11 Ashishi Puri, Sanjeev Kumar
This paper focuses on tracing the connectivity of white matter fascicles (WMF) in the brain. In particular, a generalized order algorithm based on mixture of non-central Wishart distribution (GMoNCW) model is proposed for this purpose. The proposed algorithm utilizes the generalization of integer order based approach with the mixture of non-central Wishart distribution (MoNCW) model. Pseudo super anomalous
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Phenomenological analysis of simple ion channel block in large populations of uncoupled cardiomyocytes Math. Med. Biol. (IF 1.1) Pub Date : 2023-01-21 Radostin D Simitev, Antesar Al Dawoud, Muhamad H N Aziz, Rachel Myles, Godfrey L Smith
Current understanding of arrhythmia mechanisms and design of anti-arrhythmic drug therapies hinges on the assumption that myocytes from the same region of a single heart have similar, if not identical, action potential waveforms and drug responses. On the contrary, recent experiments reveal significant heterogeneity in uncoupled healthy myocytes both from different hearts as well as from identical
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Intransigent vs. volatile opinions in a kinetic epidemic model with imitation game dynamics Math. Med. Biol. (IF 1.1) Pub Date : 2022-12-09 Rossella Della Marca, Nadia Loy, Marco Menale
In the mathematical epidemiology community, there is an increasing interest in shaping the complex interplay between human behaviour and disease spreading. We give a contribution in this direction by illustrating a method to derive behavioural change epidemic models from a stochastic particle description by the means of kinetic equations. We consider an Susceptible–Infected–Removed–like model where
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Mal de Debarquement Syndrome explained by a vestibulo–cerebellar oscillator Math. Med. Biol. (IF 1.1) Pub Date : 2022-12-05 Bruno Burlando, Viviana Mucci, Cherylea J Browne, Serena Losacco, Iole Indovina, Lucio Marinelli, Franco Blanchini, Giulia Giordano
Mal de Debarquement Syndrome (MdDS) is a puzzling central vestibular disorder characterized by a long-lasting perception of oscillatory postural instability that may occur after sea travels or flights. We have postulated that MdDS originates from the post-disembarking persistence of an adaptive internal oscillator consisting of a loop system, involving the right and left vestibular nuclei, and the
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Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells Math. Med. Biol. (IF 1.1) Pub Date : 2022-12-05 Luís Almeida, Chloe Audebert, Emma Leschiera, Tommaso Lorenzi
We present an individual-based model for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes (CTLs) and tumour cells. In this model, every cell is viewed as an individual agent whose phenotypic state is modelled by a discrete variable. For tumour cells this variable represents a parameterisation of the antigen expression profiles, while for CTLs it represents a parameterisation of the
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Solute transport with Michaelis–Menten kinetics for in vitro cell culture Math. Med. Biol. (IF 1.1) Pub Date : 2022-10-06 Lauren Hyndman, Sean McKee, Sean McGinty
A traditional method of in vitro cell culture involves a monolayer of cells at the base of a petri dish filled with culture medium. While the primary role of the culture medium is to supply nutrients to the cells, drug or other solutes may be added, depending on the purpose of the experiment. Metabolism by cells of oxygen, nutrients and drug is typically governed by Michaelis–Menten (M-M) kinetics
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Exploring the constituent mechanisms of hepatitis: a dynamical systems approach Math. Med. Biol. (IF 1.1) Pub Date : 2022-10-05 Joanne L Dunster, Jonathan M Gibbins, Martin R Nelson
Hepatitis is the term used to describe inflammation in the liver. It is associated with a high rate of mortality, but the underlying disease mechanisms are not completely understood and treatment options are limited. We present a mathematical model of hepatitis that captures the complex interactions between hepatocytes (liver cells), hepatic stellate cells (cells in the liver that produce hepatitis-associated
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Computer simulation of surgical interventions for the treatment of refractory pulmonary hypertension Math. Med. Biol. (IF 1.1) Pub Date : 2022-08-19 Seong Woo Han, Charles Puelz, Craig G Rusin, Daniel J Penny, Ryan Coleman, Charles S Peskin
This paper describes computer models of three interventions used for treating refractory pulmonary hypertension (RPH). These procedures create either an atrial septal defect, a ventricular septal defect or, in the case of a Potts shunt, a patent ductus arteriosus. The aim in all three cases is to generate a right-to-left shunt, allowing for either pressure or volume unloading of the right side of the
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Predicting elimination of evolving virus variants Math. Med. Biol. (IF 1.1) Pub Date : 2022-08-17 Elliott Hughes, Rachelle Binny, Shaun Hendy, Alex James
As the SARS-CoV-2 virus spreads around the world new variants are appearing regularly. Although some countries have achieved very swift and successful vaccination campaigns, on a global scale the vast majority of the population is unvaccinated and new variants are proving more resistant to the current set of vaccines. We present a simple model of disease spread, which includes the evolution of new
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On a tumor growth model with brain lactate kinetics Math. Med. Biol. (IF 1.1) Pub Date : 2022-08-12 Laurence Cherfils, Stefania Gatti, Carole Guillevin, Alain Miranville, Rémy Guillevin
Our aim in this paper is to study a mathematical model for high grade gliomas, taking into account lactates kinetics, as well as chemotherapy and antiangiogenic treatment. In particular, we prove the existence and uniqueness of biologically relevant solutions. We also perform numerical simulations based on different therapeutical situations that can be found in the literature. These simulations are
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Multi-scale modelling of nanoparticle delivery and heat transport in vascularised tumours Math. Med. Biol. (IF 1.1) Pub Date : 2022-07-21 Tahani Al Sariri, Raimondo Penta
We focus on modelling of cancer hyperthermia driven by the application of the magnetic field to iron oxide nanoparticles. We assume that the particles are interacting with the tumour environment by extravasating from the vessels into the interstitial space. We start from Darcy’s and Stokes’ problems in the interstitial and fluid vessels compartments. Advection–diffusion of nanoparticles takes place
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How quickly does a wound heal? Bayesian calibration of a mathematical model of venous leg ulcer healing Math. Med. Biol. (IF 1.1) Pub Date : 2022-06-14 Adriana Zanca, James M Osborne, Sophie G Zaloumis, Carolina D Weller, Jennifer A Flegg
Chronic wounds, such as venous leg ulcers, are difficult to treat and can reduce the quality of life for patients. Clinical trials have been conducted to identify the most effective venous leg ulcer treatments and the clinical factors that may indicate whether a wound will successfully heal. More recently, mathematical modelling has been used to gain insight into biological factors that may affect
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Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers. Math. Med. Biol. (IF 1.1) Pub Date : 2022-09-08 Jonathan P Whiteley,Cameron P Brown,Eamonn A Gaffney
In skeletal joints two layers of adjacent cartilage are often in relative motion. The individual cartilage layers are often modelled as a poroviscoelastic material. To model the relative motion, noting the separation of scales between the pore level and the macroscale, a homogenization based on multiple scale asymptotic analysis has been used in this study to derive a macroscale model for the relative
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Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model. Math. Med. Biol. (IF 1.1) Pub Date : 2022-09-08 Maud El-Hachem,Scott W McCue,Matthew J Simpson
The Fisher-Kolmogorov-Petrovsky-Piskunov (KPP) model, and generalizations thereof, involves simple reaction-diffusion equations for biological invasion that assume individuals in the population undergo linear diffusion with diffusivity $D$, and logistic proliferation with rate $\lambda $. For the Fisher-KPP model, biologically relevant initial conditions lead to long-time travelling wave solutions
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Stochastic optimal control of pre-exposure prophylaxis for HIV infection. Math. Med. Biol. (IF 1.1) Pub Date : 2022-09-08 Jasmina Ðorđević,Kristina Rognlien Dahl
The aim of the paper is to apply the stochastic optimal control problem in order to optimize the number of individual which will have the pre-exposure prophylaxis (PReP) treatment in the stochastic model for HIV/AIDS with PReP. By using the stochastic maximum principle, we derive the stochastic optimal control of PReP for the unconstrained control problem. Furthermore, by combining the stochastic maximum
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Stochastic optimal control of pre-exposure prophylaxis for HIV infection Math. Med. Biol. (IF 1.1) Pub Date : 2022-06-01 Jasmina Ðorđević, Kristina Rognlien Dahl
The aim of the paper is to apply the stochastic optimal control problem in order to optimize the number of individual which will have the pre-exposure prophylaxis (PReP) treatment in the stochastic model for HIV/AIDS with PReP. By using the stochastic maximum principle, we derive the stochastic optimal control of PReP for the unconstrained control problem. Furthermore, by combining the stochastic maximum
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A mathematical model to describe antibody-dependent enhancement and assess the effect of limiting cloning for plasma cells in heterologous secondary dengue infection. Math. Med. Biol. (IF 1.1) Pub Date : 2022-06-11 Felipe Alves Rubio,Hyun Mo Yang
We propose a mathematical model to study the antibody-dependent enhancement (ADE) phenomenon. Here, we explore the interaction between macrophages, dengue virus and plasma cells, especially the effect of a limitation on plasma cell proliferation, which occurs due to immunological memory. The model has up to three equilibrium points: one virus-free equilibrium and two virus-presence equilibrium, depending
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Potential reduction in transmission of COVID-19 by digital contact tracing systems: a modelling study Math. Med. Biol. (IF 1.1) Pub Date : 2022-03-15 Michael J Plank,Alex James,Audrey Lustig,Nicholas Steyn,Rachelle N Binny,Shaun C Hendy
Abstract Background. Digital tools are being developed to support contact tracing as part of the global effort to control the spread of COVID-19. These include smartphone apps, Bluetooth-based proximity detection, location tracking and automatic exposure notification features. Evidence on the effectiveness of alternative approaches to digital contact tracing is so far limited. Methods. We use an age-structured
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Deterministic and stochastic in-host tuberculosis models for bacterium-directed and host-directed therapy combination Math. Med. Biol. (IF 1.1) Pub Date : 2022-01-29 Wenjing Zhang
Mycobacterium tuberculosis (TB) infection can involve all immune system components and can result in different disease outcomes. The antibiotic TB drugs require strict adherence to prevent both disease relapse and mutation of drug- and multidrug-resistant strains. To overcome the constraints of pathogen-directed therapy, host-directed therapy has attracted more attention in recent years as an adjunct
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Mathematical modeling of COVID-19 pandemic in the context of sub-Saharan Africa: a short-term forecasting in Cameroon and Gabon. Math. Med. Biol. (IF 1.1) Pub Date : 2022-02-22 C H Nkwayep,S Bowong,B Tsanou,M A Aziz Alaoui,J Kurths
In this paper, we propose and analyse a compartmental model of COVID-19 to predict and control the outbreak. We first formulate a comprehensive mathematical model for the dynamical transmission of COVID-19 in the context of sub-Saharan Africa. We provide the basic properties of the model and compute the basic reproduction number $\mathcal {R}_0$ when the parameter values are constant. After, assuming
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Mathematical modeling of COVID-19 pandemic in the context of sub-Saharan Africa: a short-term forecasting in Cameroon and Gabon Math. Med. Biol. (IF 1.1) Pub Date : 2022-01-11 C H Nkwayep, S Bowong, B Tsanou, M A Aziz Alaoui, J Kurths
In this paper, we propose and analyse a compartmental model of COVID-19 to predict and control the outbreak. We first formulate a comprehensive mathematical model for the dynamical transmission of COVID-19 in the context of sub-Saharan Africa. We provide the basic properties of the model and compute the basic reproduction number $\mathcal {R}_0$ when the parameter values are constant. After, assuming
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Stochastic mathematical models for the spread of COVID-19: a novel epidemiological approach. Math. Med. Biol. (IF 1.1) Pub Date : 2022-02-22 Ayman Mourad,Fatima Mroue,Zahraa Taha
In this paper, three stochastic mathematical models are developed for the spread of the coronavirus disease (COVID-19). These models take into account the known special characteristics of this disease such as the existence of infectious undetected cases and the different social and infectiousness conditions of infected people. In particular, they include a novel approach that considers the social structure
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Stochastic mathematical models for the spread of COVID-19: a novel epidemiological approach Math. Med. Biol. (IF 1.1) Pub Date : 2021-12-09 Mourad A, Mroue F, Taha Z.
AbstractIn this paper, three stochastic mathematical models are developed for the spread of the coronavirus disease (COVID-19). These models take into account the known special characteristics of this disease such as the existence of infectious undetected cases and the different social and infectiousness conditions of infected people. In particular, they include a novel approach that considers the
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Modelling the spreading of the SARS-CoV-2 in presence of the lockdown and quarantine measures by a kinetic-type reactions approach. Math. Med. Biol. (IF 1.1) Pub Date : 2022-06-11 Giorgio Sonnino,Philippe Peeters,Pasquale Nardone
We propose a realistic model for the evolution of the COVID-19 pandemic subject to the lockdown and quarantine measures, which takes into account the timedelay for recovery or death processes. The dynamic equations for the entire process are derived by adopting a kinetic-type reactions approach. More specifically, the lockdown and the quarantine measures are modelled by some kind of inhibitor reactions
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A multi-scale/multi-physics model for the theoretical study of the vascular configuration of retinal capillary plexuses based on OCTA data. Math. Med. Biol. (IF 1.1) Pub Date : 2022-02-22 Greta Chiaravalli,Giovanna Guidoboni,Riccardo Sacco,Jake Radell,Alon Harris
The retinal tissue is highly metabolically active and is responsible for translating the visual stimuli into electrical signals to be delivered to the brain. A complex vascular structure ensures an adequate supply of blood and oxygen, which is essential for the function and survival of the retinal tissue. To date, a complete understanding of the configuration of the retinal vascular structures is still
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A multi-scale/multi-physics model for the theoretical study of the vascular configuration of retinal capillary plexuses based on OCTA data Math. Med. Biol. (IF 1.1) Pub Date : 2021-11-25 Chiaravalli G, Guidoboni G, Sacco R, et al.
AbstractThe retinal tissue is highly metabolically active and is responsible for translating the visual stimuli into electrical signals to be delivered to the brain. A complex vascular structure ensures an adequate supply of blood and oxygen, which is essential for the function and survival of the retinal tissue. To date, a complete understanding of the configuration of the retinal vascular structures
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Modelling the spreading of the SARS-CoV-2 in presence of the lockdown and quarantine measures by a kinetic-type reactions approach Math. Med. Biol. (IF 1.1) Pub Date : 2021-11-04 Giorgio Sonnino, Philippe Peeters, Pasquale Nardone
We propose a realistic model for the evolution of the COVID-19 pandemic subject to the lockdown and quarantine measures, which takes into account the timedelay for recovery or death processes. The dynamic equations for the entire process are derived by adopting a kinetic-type reactions approach. More specifically, the lockdown and the quarantine measures are modelled by some kind of inhibitor reactions
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Accurate numerical simulation of electrodiffusion and water movement in brain tissue Math. Med. Biol. (IF 1.1) Pub Date : 2021-11-01 Ada J Ellingsrud, Nicolas Boullé, Patrick E Farrell, Marie E Rognes
Mathematical modelling of ionic electrodiffusion and water movement is emerging as a powerful avenue of investigation to provide a new physiological insight into brain homeostasis. However, in order to provide solid answers and resolve controversies, the accuracy of the predictions is essential. Ionic electrodiffusion models typically comprise non-trivial systems of non-linear and highly coupled partial
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A deterministic model for non-monotone relationship between translation of upstream and downstream open reading frames Math. Med. Biol. (IF 1.1) Pub Date : 2021-10-29 D E Andreev, P V Baranov, A Milogorodskii, D Rachinskii
Totally asymmetric simple exclusion process (TASEP) modelling was shown to offer a parsimonious explanation for the experimentally confirmed ability of a single upstream open reading frames (uORFs) to upregulate downstream translation during the integrated stress response. As revealed by numerical simulations, the model predicts that reducing the density of scanning ribosomes upstream of certain uORFs
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Diffusion of dermatological irritant in drying laundered cloth Math. Med. Biol. (IF 1.1) Pub Date : 2021-10-07 P Broadbridge, B S Tilley
Sodium dodecyl sulphate (SDS), a commonly used laundry surfactant, has been known to cause some damage to epithelial cells in skin. Further, independent experiments have shown that a single laundry wash with rinsing leaves a residue of around 10% of the chemicals used in a wash cycle. A realistic nonlinear system of partial differential equations is developed for coupled water and solute transport
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Lumped parameter models for two-ventricle and healthy and failing extracardiac Fontan circulations. Math. Med. Biol. (IF 1.1) Pub Date : 2021-12-15 Matthew G Doyle,Marina Chugunova,S Lucy Roche,James P Keener
Fontan circulations are surgical strategies to treat infants born with single ventricle physiology. Clinical and mathematical definitions of Fontan failure are lacking, and understanding is needed of parameters indicative of declining physiologies. Our objective is to develop lumped parameter models of two-ventricle and single-ventricle circulations. These models, their mathematical formulations and
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Synchronization in epidemic growth and the impossibility of selective containment Math. Med. Biol. (IF 1.1) Pub Date : 2021-09-13 Jan C Budich, Emil J Bergholtz
Containment, aiming to prevent the epidemic stage of community-spreading altogether, and mitigation, aiming to merely ‘flatten the curve’ of a wide-ranged outbreak, constitute two qualitatively different approaches to combating an epidemic through non-pharmaceutical interventions. Here, we study a simple model of epidemic dynamics separating the population into two groups, namely a low-risk group and
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A mathematical model of cardiovascular dynamics for the diagnosis and prognosis of hemorrhagic shock. Math. Med. Biol. (IF 1.1) Pub Date : 2021-12-15 Laura D'Orsi,Luciano Curcio,Fabio Cibella,Alessandro Borri,Lilach Gavish,Arik Eisenkraft,Andrea De Gaetano
A variety of mathematical models of the cardiovascular system have been suggested over several years in order to describe the time-course of a series of physiological variables (i.e. heart rate, cardiac output, arterial pressure) relevant for the compensation mechanisms to perturbations, such as severe haemorrhage. The current study provides a simple but realistic mathematical description of cardiovascular
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Lumped parameter models for two-ventricle and healthy and failing extracardiac Fontan circulations Math. Med. Biol. (IF 1.1) Pub Date : 2021-09-08 Matthew G Doyle, Marina Chugunova, S Lucy Roche, James P Keener
Fontan circulations are surgical strategies to treat infants born with single ventricle physiology. Clinical and mathematical definitions of Fontan failure are lacking, and understanding is needed of parameters indicative of declining physiologies. Our objective is to develop lumped parameter models of two-ventricle and single-ventricle circulations. These models, their mathematical formulations and
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A mathematical model of cardiovascular dynamics for the diagnosis and prognosis of hemorrhagic shock Math. Med. Biol. (IF 1.1) Pub Date : 2021-09-08 Laura D’Orsi, Luciano Curcio, Fabio Cibella, Alessandro Borri, Lilach Gavish, Arik Eisenkraft, Andrea De Gaetano
A variety of mathematical models of the cardiovascular system have been suggested over several years in order to describe the time-course of a series of physiological variables (i.e. heart rate, cardiac output, arterial pressure) relevant for the compensation mechanisms to perturbations, such as severe haemorrhage. The current study provides a simple but realistic mathematical description of cardiovascular
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Classification under uncertainty: data analysis for diagnostic antibody testing. Math. Med. Biol. (IF 1.1) Pub Date : 2021-08-15 Paul N Patrone,Anthony J Kearsley
Formulating accurate and robust classification strategies is a key challenge of developing diagnostic and antibody tests. Methods that do not explicitly account for disease prevalence and uncertainty therein can lead to significant classification errors. We present a novel method that leverages optimal decision theory to address this problem. As a preliminary step, we develop an analysis that uses
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Classification under uncertainty: data analysis for diagnostic antibody testing Math. Med. Biol. (IF 1.1) Pub Date : 2021-08-13 Paul N Patrone, Anthony J Kearsley
Formulating accurate and robust classification strategies is a key challenge of developing diagnostic and antibody tests. Methods that do not explicitly account for disease prevalence and uncertainty therein can lead to significant classification errors. We present a novel method that leverages optimal decision theory to address this problem. As a preliminary step, we develop an analysis that uses
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Tear film dynamics with blinking and contact lens motion Math. Med. Biol. (IF 1.1) Pub Date : 2021-07-21 Daniel M Anderson, Maria Corsaro, Jonathan Horton, Tim Reid, Padmanabhan Seshaiyer
We develop a lubrication theory-based mathematical model that describes the dynamics of a tear film during blinking and contact lens (CL) wear. The model extends previous work on pre-corneal tear film dynamics during blinking by coupling the partial differential equation for tear film thickness to a dynamic model for CL motion. We explore different models for eyelid motion and also account for possible
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A mathematical framework for modelling 3D cell motility: applications to glioblastoma cell migration Math. Med. Biol. (IF 1.1) Pub Date : 2021-06-10 M Scott, K Żychaluk, R N Bearon
The collection of 3D cell tracking data from live images of micro-tissues is a recent innovation made possible due to advances in imaging techniques. As such there is increased interest in studying cell motility in 3D in vitro model systems but a lack of rigorous methodology for analysing the resulting data sets. One such instance of the use of these in vitro models is in the study of cancerous tumours
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Data assimilation of synthetic data as a novel strategy for predicting disease progression in alopecia areata Math. Med. Biol. (IF 1.1) Pub Date : 2021-06-08 NG Cogan, Feng Bao, Ralf Paus, Atanaska Dobreva
The goal of patient-specific treatment of diseases requires a connection between clinical observations with models that are able to accurately predict the disease progression. Even when realistic models are available, it is very difficult to parameterize them and often parameter estimates that are made using early time course data prove to be highly inaccurate. Inaccuracies can cause different predictions
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Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling. Math. Med. Biol. (IF 1.1) Pub Date : 2021-08-15 Peter Mortensen,Hao Gao,Godfrey Smith,Radostin D Simitev
The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106-131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions
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Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling. Math. Med. Biol. (IF 1.1) Pub Date : 2021-05-06 Peter Mortensen,Hao Gao,Godfrey Smith,Radostin D Simitev
The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106-131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions
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A structured model for COVID-19 spread: modelling age and healthcare inequities Math. Med. Biol. (IF 1.1) Pub Date : 2021-04-20 A James, M J Plank, R N Binny, A Lustig, K Hannah, S C Hendy, N Steyn
We use a stochastic branching process model, structured by age and level of healthcare access, to look at the heterogeneous spread of COVID-19 within a population. We examine the effect of control scenarios targeted at particular groups, such as school closures or social distancing by older people. Although we currently lack detailed empirical data about contact and infection rates between age groups
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Addendum: Action potential propagation and block in a model of atrial tissue with myocyte–fibroblast coupling Math. Med. Biol. (IF 1.1) Pub Date : 2021-04-16 Peter Mortensen, Hao Gao, Godfrey Smith, Radostin D Simitev
The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106–131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions
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Mathematical modelling of ageing acceleration of the human follicle due to oxidative stress and other factors Math. Med. Biol. (IF 1.1) Pub Date : 2021-03-15 A M Portillo, C Peláez
There is a gradual telomere shortening due to the inability of the replication machinery to copy the very ends of chromosomes. Additionally, other factors such as high levels of oxidation (free radicals or reactive oxygen species (ROS)), e.g. due to cumulated stress, inflammation or tobacco smoke, accelerate telomere shortening. In humans, the average telomere length is about 10–15 kb at birth and
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Models for plasma kinetics during simultaneous therapeutic plasma exchange and extracorporeal membrane oxygenation. Math. Med. Biol. (IF 1.1) Pub Date : 2021-06-15 Charles Puelz,Zach Danial,Jay S Raval,Jonathan L Marinaro,Boyce E Griffith,Charles S Peskin
This paper focuses on the derivation and simulation of mathematical models describing new plasma fraction in blood for patients undergoing simultaneous extracorporeal membrane oxygenation and therapeutic plasma exchange. Models for plasma exchange with either veno-arterial or veno-venous extracorporeal membrane oxygenation are considered. Two classes of models are derived for each case, one in the
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Stability of a non-local kinetic model for cell migration with density-dependent speed Math. Med. Biol. (IF 1.1) Pub Date : 2020-12-19 Nadia Loy, Luigi Preziosi
The aim of this article is to study the stability of a non-local kinetic model proposed by Loy & Preziosi (2020a) in which the cell speed is affected by the cell population density non-locally measured and weighted according to a sensing kernel in the direction of polarization and motion. We perform the analysis in a |$d$|-dimensional setting. We study the dispersion relation in the one-dimensional
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Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling. Math. Med. Biol. (IF 1.1) Pub Date : 2021-06-15 Samantha R Rivas,Alex C Tessner,Eli E Goldwyn
In 2016, more than 11 million Americans abused prescription opioids. The National Institute on Drug Abuse considers the opioid crisis a national addiction epidemic, as an increasing number of people are affected each year. Using the framework developed in mathematical modelling of infectious diseases, we create and analyse a compartmental opioid-abuse model consisting of a system of ordinary differential
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Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling. Math. Med. Biol. (IF 1.1) Pub Date : 2021-02-12 Samantha R Rivas,Alex C Tessner,Eli E Goldwyn
In 2016, more than 11 million Americans abused prescription opioids. The National Institute on Drug Abuse considers the opioid crisis a national addiction epidemic, as an increasing number of people are affected each year. Using the framework developed in mathematical modelling of infectious diseases, we create and analyse a compartmental opioid-abuse model consisting of a system of ordinary differential
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A mathematical model for bleb regulation in zebrafish primordial germ cells Math. Med. Biol. (IF 1.1) Pub Date : 2021-02-03 Carolin Dirks, Paul Striewski, Benedikt Wirth, Anne Aalto, Adan Olguin-Olguin
Blebs are cell protrusions generated by local membrane–cortex detachments followed by expansion of the plasma membrane. Blebs are formed by some migrating cells, e.g. primordial germ cells of the zebrafish. While blebs occur randomly at each part of the membrane in unpolarized cells, a polarization process guarantees the occurrence of blebs at a preferential site and thereby facilitates migration toward