Mathematical medicine and biology : a journal of the IMA最新文献_第5页

Addendum: Action potential propagation and block in a model of atrial tissue with myocyte–fibroblast coupling 附录:肌细胞-成纤维细胞偶联心房组织模型中的动作电位传播和阻滞

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-03-01 DOI: 10.1093/imammb/dqab005

Peter Mortensen;Hao Gao;Godfrey Smith;Radostin D Simitev

引用次数: 1

Tear film dynamics with blinking and contact lens motion 泪膜动态与眨眼和隐形眼镜运动

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-03-01 DOI: 10.1093/imammb/dqab010

Daniel M Anderson;Maria Corsaro;Jonathan Horton;Tim Reid;Padmanabhan Seshaiyer

引用次数: 1

Data assimilation of synthetic data as a novel strategy for predicting disease progression in alopecia areata 综合数据的数据同化作为预测斑秃疾病进展的新策略

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-03-01 DOI: 10.1093/imammb/dqab008

NG Cogan;Feng Bao;Ralf Paus;Atanaska Dobreva

{"title":"Data assimilation of synthetic data as a novel strategy for predicting disease progression in alopecia areata","authors":"NG Cogan;Feng Bao;Ralf Paus;Atanaska Dobreva","doi":"10.1093/imammb/dqab008","DOIUrl":"10.1093/imammb/dqab008","url":null,"abstract":"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, especially when the progression depends sensitively on the parameters. In this study, we apply a Bayesian data assimilation method, where the data are incorporated sequentially, to a model of the autoimmune disease alopecia areata that is characterized by distinct spatial patterns of hair loss. Using synthetic data as simulated clinical observations, we show that our method is relatively robust with respect to variations in parameter estimates. Moreover, we compare convergence rates for parameters with different sensitivities, varying observational times and varying levels of noise. We find that this method works better for sparse observations, sensitive parameters and noisy observations. Taken together, we find that our data assimilation, in conjunction with our biologically inspired model, provides directions for individualized diagnosis and treatments.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 3","pages":"314-332"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39078946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

A structured model for COVID-19 spread: modelling age and healthcare inequities COVID-19传播的结构化模型:年龄和医疗不平等建模

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-03-01 DOI: 10.1093/imammb/dqab006

A James;M J Plank;R N Binny;A Lustig;K Hannah;S C Hendy;N Steyn

{"title":"A structured model for COVID-19 spread: modelling age and healthcare inequities","authors":"A James;M J Plank;R N Binny;A Lustig;K Hannah;S C Hendy;N Steyn","doi":"10.1093/imammb/dqab006","DOIUrl":"10.1093/imammb/dqab006","url":null,"abstract":"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 and groups with different levels of healthcare access within New Zealand, these scenarios illustrate how such evidence could be used to inform specific interventions. We find that an increase in the transmission rates among children from reopening schools is unlikely to significantly increase the number of cases, unless this is accompanied by a change in adult behaviour. We also find that there is a risk of undetected outbreaks occurring in communities that have low access to healthcare and that are socially isolated from more privileged communities. The greater the degree of inequity and extent of social segregation, the longer it will take before any outbreaks are detected. A well-established evidence for health inequities, particularly in accessing primary healthcare and testing, indicates that Māori and Pacific peoples are at a higher risk of undetected outbreaks in Aotearoa New Zealand. This highlights the importance of ensuring that community needs for access to healthcare, including early proactive testing, rapid contact tracing and the ability to isolate, are being met equitably. Finally, these scenarios illustrate how information concerning contact and infection rates across different demographic groups may be useful in informing specific policy interventions.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 3","pages":"299-313"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqab006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39004967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A mathematical model for bleb regulation in zebrafish primordial germ cells 斑马鱼原始生殖细胞泡调节的数学模型

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-01-01 DOI: 10.1093/imammb/dqab002

Carolin Dirks;Paul Striewski;Benedikt Wirth;Anne Aalto;Adan Olguin-Olguin

{"title":"A mathematical model for bleb regulation in zebrafish primordial germ cells","authors":"Carolin Dirks;Paul Striewski;Benedikt Wirth;Anne Aalto;Adan Olguin-Olguin","doi":"10.1093/imammb/dqab002","DOIUrl":"10.1093/imammb/dqab002","url":null,"abstract":"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 a specified direction. Little is known about the factors involved in the controlled and directed bleb generation, yet recent studies revealed the influence of an intracellular flow and the stabilizing role of the membrane–cortex linker molecule Ezrin. Based on this information, we develop and analyse a coupled bulk-surface model describing a potential cellular mechanism by which a bleb could be induced at a controlled site. The model rests upon intracellular Darcy flow and a diffusion–advection–reaction system, describing the temporal evolution from a homogeneous to a strongly anisotropic Ezrin distribution. We prove the well-posedness of the mathematical model and show that simulations qualitatively correspond to experimental observations, suggesting that indeed the interaction of an intracellular flow with membrane proteins can be the cause of the Ezrin redistribution accompanying bleb formation.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 2","pages":"218-254"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqab002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9303904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Models for plasma kinetics during simultaneous therapeutic plasma exchange and extracorporeal membrane oxygenation 同时治疗性血浆交换和体外膜氧合过程中的血浆动力学模型

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-01-01 DOI: 10.1093/imammb/dqab003

Charles Puelz;Zach Danial;Jay S Raval;Jonathan L Marinaro;Boyce E Griffith;Charles S Peskin

{"title":"Models for plasma kinetics during simultaneous therapeutic plasma exchange and extracorporeal membrane oxygenation","authors":"Charles Puelz;Zach Danial;Jay S Raval;Jonathan L Marinaro;Boyce E Griffith;Charles S Peskin","doi":"10.1093/imammb/dqab003","DOIUrl":"10.1093/imammb/dqab003","url":null,"abstract":"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 form of an algebraic delay equation and another in the form of a system of delay differential equations. In special cases, our models reduce to single compartment ones for plasma exchange that have been validated with experimental data (Randerson et al., 1982, Artif. Organs, 6, 43–49). We also show that the algebraic differential equations are forward Euler discretizations of the delay differential equations, with timesteps equal to transit times through model compartments. Numerical simulations are performed to compare different model types, to investigate the impact of plasma device port switching on the efficiency of the exchange process, and to study the sensitivity of the models to their parameters.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 2","pages":"255-271"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqab003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25401293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Partial differential model of lactate neuro-energetics: analytic results and numerical simulations 乳酸神经能量学的偏微分模型:分析结果和数值模拟

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-01-01 DOI: 10.1093/imammb/dqaa016

Angélique Perrillat-Mercerot;Alain Miranville;Abramo Agosti;Elisabetta Rocca;Pasquale Ciarletta;Rémy Guillevin

{"title":"Partial differential model of lactate neuro-energetics: analytic results and numerical simulations","authors":"Angélique Perrillat-Mercerot;Alain Miranville;Abramo Agosti;Elisabetta Rocca;Pasquale Ciarletta;Rémy Guillevin","doi":"10.1093/imammb/dqaa016","DOIUrl":"10.1093/imammb/dqaa016","url":null,"abstract":"Interfaces play a key role on diseases development because they dictate the energy inflow of nutrients from the surrounding tissues. What is underestimated by existing mathematical models is the biological fact that cells are able to use different resources through nonlinear mechanisms. Among all nutrients, lactate appears to be a sensitive metabolic when talking about brain tumours or neurodegenerative diseases. Here we present a partial differential model to investigate the lactate exchanges between cells and the vascular network in the brain. By extending an existing kinetic model for lactate neuro-energetics, we first provide analytical proofs of the uniqueness and the derivation of precise bounds on the solutions of the problem including diffusion of lactate in a representative volume element comprising the interface between a capillary and cells. We further perform finite element simulations of the model in two test cases, discussing the relevant physical parameters governing the lactate dynamics.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 2","pages":"178-201"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqaa016","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38851438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the transmission of the new coronavirus in São Paulo State, Brazil—assessing the epidemiological impacts of isolating young and elder persons 模拟巴西<s:1>圣保罗州新型冠状病毒的传播——评估隔离年轻人和老年人的流行病学影响

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-01-01 DOI: 10.1093/imammb/dqaa015

Hyun Mo Yang;Luis Pedro Lombardi Junior;Ariana Campos Yang

引用次数: 3

Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling 计算四种最常用的阿片类药物的处方率和成瘾概率，并使用隔室模型评估其对成瘾的影响

Mathematical medicine and biology : a journal of the IMA Pub Date : 2021-01-01 DOI: 10.1093/imammb/dqab001

Samantha R Rivas;Alex C Tessner;Eli E Goldwyn

{"title":"Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling","authors":"Samantha R Rivas;Alex C Tessner;Eli E Goldwyn","doi":"10.1093/imammb/dqab001","DOIUrl":"10.1093/imammb/dqab001","url":null,"abstract":"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 equations. Since \u0000<tex>$40%$</tex>\u0000 of opioid overdoses are caused by prescription opioids, our model includes prescription compartments for the four most commonly prescribed opioids, as well as for the susceptible, addicted and recovered populations. While existing research has focused on drug abuse models in general and opioid models with one prescription compartment, no previous work has been done comparing the roles that the most commonly prescribed opioids have had on the crisis. By combining data from the Substance Abuse and Mental Health Services Administration (which tracked the proportion of people who used or misused one of the four individual opioids) with data from the Centers of Disease Control and Prevention (which counted the total number of prescriptions), we estimate prescription rates and probabilities of addiction for the four most commonly prescribed opioids. Additionally, we perform a sensitivity analysis and reallocate prescriptions to determine which opioid has the largest impact on the epidemic. Our results indicate that oxycodone prescriptions are both the most likely to lead to addiction and have the largest impact on the size of the epidemic, while hydrocodone prescriptions had the smallest impact.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"38 2","pages":"202-217"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqab001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25369726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Existence of solutions and numerical approximation of a non-local tumor growth model 非局部肿瘤生长模型解的存在性及数值逼近

Mathematical medicine and biology : a journal of the IMA Pub Date : 2020-02-01 DOI: 10.1093/imammb/dqz005

Lucia Maddalena;Stefania Ragni

引用次数: 3