Laurence Cherfils,Stefania Gatti,Carole Guillevin et al.
Laurence Cherfils et al.
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...
Multi-scale modelling of nanoparticle delivery and heat transport in vascularised tumours [0.03%]
血管化肿瘤中纳米颗粒输运的多尺度模型研究及热传输机制
Tahani Al Sariri,Raimondo Penta
Tahani Al Sariri
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 in...
Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model [0.03%]
非消失的尖前沿行波解的费希尔-科尔莫戈罗夫模型
Maud El-Hachem,Scott W McCue,Matthew J Simpson
Maud El-Hachem
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 $D$,...
Estimating decay curves of neutralizing antibodies to SARS-CoV-2 infection [0.03%]
估计SARS-CoV-2感染后中和抗体的衰减曲线
Elliot Poehler,Liam Gibson,Audrey Lustig et al.
Elliot Poehler et al.
Estimating the longevity of an individual's immune response to the SARS-Cov-2 virus is vital for future planning, particularly of vaccine requirements. Neutralizing antibodies (Nabs) are increasingly being recognized as a correlate of prote...
How quickly does a wound heal? Bayesian calibration of a mathematical model of venous leg ulcer healing [0.03%]
静脉腿部溃疡愈合的数学模型的Bayesian标定及其愈合速度研究
Adriana Zanca,James M Osborne,Sophie G Zaloumis et al.
Adriana Zanca et al.
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 ...
Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers [0.03%]
关节软骨的建模：两个相邻poroviscoelastic层之间的相对运动
Jonathan P Whiteley,Cameron P Brown,Eamonn A Gaffney
Jonathan P Whiteley
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 p...
Ivan A Kuznetsov,Andrey V Kuznetsov
Ivan A Kuznetsov
This paper reports a minimal model simulating the growth of a Lewy body (LB). To the best of our knowledge, this is the first model simulating LB growth. The LB is assumed to consist of a central spherical core, which is composed of membran...
Stochastic optimal control of pre-exposure prophylaxis for HIV infection [0.03%]
艾滋病病毒感染的预防暴露最优控制问题研究
Jasmina Ðorđević,Kristina Rognlien Dahl
Jasmina Ðorđević
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...
A mathematical model to describe antibody-dependent enhancement and assess the effect of limiting cloning for plasma cells in heterologous secondary dengue infection [0.03%]
描述抗体依赖性增强作用并评估限制异型二次登革热感染浆细胞克隆对影响的数学模型
Felipe Alves Rubio,Hyun Mo Yang
Felipe Alves Rubio
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 prolifer...
Potential reduction in transmission of COVID-19 by digital contact tracing systems: a modelling study [0.03%]
数字接触调查系统减少COVID-19传播的潜力：基于模型的研究
Michael J Plank,Alex James,Audrey Lustig et al.
Michael J Plank et al.
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 trackin...