Letters in Biomathematics最新文献_第6页

Modelling combined virotherapy and immunotherapy: strengthening the antitumour immune response mediated by IL-12 and GM-CSF expression 模拟联合病毒治疗和免疫治疗:增强IL-12和GM-CSF表达介导的抗肿瘤免疫应答

Letters in Biomathematics Pub Date : 2018-03-12 DOI: 10.1080/23737867.2018.1438216

A. Jenner, C. Yun, A. Yoon, A. Coster, P. Kim

{"title":"Modelling combined virotherapy and immunotherapy: strengthening the antitumour immune response mediated by IL-12 and GM-CSF expression","authors":"A. Jenner, C. Yun, A. Yoon, A. Coster, P. Kim","doi":"10.1080/23737867.2018.1438216","DOIUrl":"https://doi.org/10.1080/23737867.2018.1438216","url":null,"abstract":"Combined virotherapy and immunotherapy has been emerging as a promising and effective cancer treatment for some time. Intratumoural injections of an oncolytic virus instigate an immune reaction in the host, resulting in an influx of immune cells to the tumour site. Through combining an oncolytic viral vector with immunostimulatory cytokines an additional antitumour immune response can be initiated, whereby immune cells induce apoptosis in both uninfected and virus infected tumour cells. We develop a mathematical model to reproduce the experimental results for tumour growth under treatment with an oncolytic adenovirus co-expressing the immunostimulatory cytokines interleukin 12 (IL-12) and granulocyte-monocyte colony stimulating factor (GM-CSF). By exploring heterogeneity in the immune cell stimulation by the treatment, we find a subset of the parameter space for the immune cell induced apoptosis rate, in which the treatment will be less effective in a short time period. Therefore, we believe the bivariate nature of treatment outcome, whereby tumours are either completely eradicated or grow unbounded, can be explained by heterogeneity in this immune characteristic. Furthermore, the model highlights the apparent presence of negative feedback in the helper T cell and APC stimulation dynamics, when IL-12 and GM-CSF are co-expressed as opposed to individually expressed by the viral vector.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"S116 - S99"},"PeriodicalIF":0.0,"publicationDate":"2018-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1438216","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42683915","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: 10

Treating cancerous cells with viruses: insights from a minimal model for oncolytic virotherapy 用病毒治疗癌细胞:从溶瘤病毒治疗的最小模型的见解

Letters in Biomathematics Pub Date : 2018-03-09 DOI: 10.1080/23737867.2018.1440977

A. Jenner, A. Coster, P. Kim, Federico Frascoli

{"title":"Treating cancerous cells with viruses: insights from a minimal model for oncolytic virotherapy","authors":"A. Jenner, A. Coster, P. Kim, Federico Frascoli","doi":"10.1080/23737867.2018.1440977","DOIUrl":"https://doi.org/10.1080/23737867.2018.1440977","url":null,"abstract":"Abstract In recent years, interest in the capability of virus particles as a treatment for cancer has increased. In this work, we present a mathematical model embodying the interaction between tumour cells and virus particles engineered to infect and destroy cancerous tissue. To quantify the effectiveness of oncolytic virotherapy, we conduct a local stability analysis and bifurcation analysis of our model. In the absence of tumour growth or viral decay, the model predicts that oncolytic virotherapy will successfully eliminate the tumour cell population for a large proportion of initial conditions. In comparison, for growing tumours and decaying viral particles there are no stable equilibria in the model; however, oscillations emerge for certain regions in our parameter space. We investigate how the period and amplitude of oscillations depend on tumour growth and viral decay. We find that higher tumour replication rates result in longer periods between oscillations and lower amplitudes for uninfected tumour cells. From our analysis, we conclude that oncolytic viruses can reduce growing tumours into a stable oscillatory state, but are insufficient to completely eradicate them. We propose that it is only with the addition of other anti-cancer agents that tumour eradication may be achieved by oncolytic virus.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"S117 - S136"},"PeriodicalIF":0.0,"publicationDate":"2018-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1440977","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44756442","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: 22

A model for cross-institutional collaboration: how the intercollegiate biomathematics alliance is pioneering a new paradigm in response to diminishing resources in academia 跨机构合作的模式:校际生物数学联盟如何在学术界资源减少的情况下开创一种新的模式

Letters in Biomathematics Pub Date : 2018-03-08 DOI: 10.1080/23737867.2018.1445044

Olcay Akman, Megan O. Powell

引用次数: 1

An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics 葡萄糖代谢的可扩展数学模型。第一部分:葡萄糖-胰岛素-胰高血糖素基本模型，基本条件和基本动态

Letters in Biomathematics Pub Date : 2018-03-07 DOI: 10.1080/23737867.2018.1429332

Caleb L. Adams, D. G. Lasseigne

{"title":"An extensible mathematical model of glucose metabolism. Part I: the basic glucose-insulin-glucagon model, basal conditions and basic dynamics","authors":"Caleb L. Adams, D. G. Lasseigne","doi":"10.1080/23737867.2018.1429332","DOIUrl":"https://doi.org/10.1080/23737867.2018.1429332","url":null,"abstract":"Abstract A basic model highlighting the counter-regulatory roles of insulin and glucagon is proposed to start a series of models designed to explore continuous rein control and major aspects of glucose metabolism. The three-by-three dynamical system uses black boxes to model unit processes such as the dependencies of insulin secretion rate and the glucagon secretion rate on blood glucose concentration. The dependency of basal conditions on insulin resistance and any defects in insulin or glucagon secretion are shown. Since over-production of hepatic glucose exists early in the history of diabetes, it is important that mathematical models should account for this effect by inclusion of the dynamical equation governing glucagon concentration as this illustrative model does. All solutions are consistent with gross features of the metabolic process. The model is examined for explicit and implicit assumptions affecting its validity which determines that the first extension to the model should account for glucose storage and the release of stored glucose.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"70 - 90"},"PeriodicalIF":0.0,"publicationDate":"2018-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1429332","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45206204","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

Tumour-associated macrophages and oncolytic virotherapies: a mathematical investigation into a complex dynamics 肿瘤相关巨噬细胞和溶瘤病毒治疗：一项复杂动力学的数学研究

Letters in Biomathematics Pub Date : 2018-02-06 DOI: 10.1080/23737867.2018.1430518

R. Eftimie, G. Eftimie

引用次数: 30

Modelling epidemics on d-cliqued graphs d-cliqued图流行病建模

Letters in Biomathematics Pub Date : 2018-01-16 DOI: 10.1080/23737867.2017.1419080

L. Schaposnik, Anlin Zhang

引用次数: 1

Modelling acute myeloid leukaemia in a continuum of differentiation states. 模拟急性髓性白血病在连续分化状态。

Letters in Biomathematics Pub Date : 2018-01-01 Epub Date: 2018-06-18 DOI: 10.1080/23737867.2018.1472532

H Cho, K Ayers, L DePills, Y-H Kuo, J Park, A Radunskaya, R Rockne

{"title":"Modelling acute myeloid leukaemia in a continuum of differentiation states.","authors":"H Cho, K Ayers, L DePills, Y-H Kuo, J Park, A Radunskaya, R Rockne","doi":"10.1080/23737867.2018.1472532","DOIUrl":"https://doi.org/10.1080/23737867.2018.1472532","url":null,"abstract":"Here we present a mathematical model of movement in an abstract space representing states of cellular differentiation. We motivate this work with recent examples that demonstrate a continuum of cellular differentiation using single cell RNA sequencing data to characterize cellular states in a high-dimensional space, which is then mapped into <math> <mrow><msup><mi>ℝ</mi> <mn>2</mn></msup> </mrow> </math> or <math> <mrow><msup><mi>ℝ</mi> <mn>2</mn></msup> </mrow> </math> with dimension reduction techniques. We represent trajectories in the differentiation space as a graph, and model directed and random movement on the graph with partial differential equations. We hypothesize that flow in this space can be used to model normal and abnormal differentiation processes. We present a mathematical model of hematopoeisis parameterized with publicly available single cell RNA-Seq data and use it to simulate the pathogenesis of acute myeloid leukemia (AML). The model predicts the emergence of cells in novel intermediate states of differentiation consistent with immunophenotypic characterizations of a mouse model of AML.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 Suppl 1","pages":"S69-S98"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1472532","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36536055","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: 16

Modeling the Diet Dynamics of Children: the Roles of Socialization and the School Environment. 儿童饮食动态的建模:社会化和学校环境的作用。

Letters in Biomathematics Pub Date : 2018-01-01 Epub Date: 2018-12-07 DOI: 10.1080/23737867.2018.1552543

Muntaser Safan, Anarina L Murillo, Devina Wadhera, Carlos Castillo-Chavez

{"title":"Modeling the Diet Dynamics of Children: the Roles of Socialization and the School Environment.","authors":"Muntaser Safan, Anarina L Murillo, Devina Wadhera, Carlos Castillo-Chavez","doi":"10.1080/23737867.2018.1552543","DOIUrl":"https://doi.org/10.1080/23737867.2018.1552543","url":null,"abstract":"Childhood obesity is a health emergency in many parts of the world including the U.S. and, consequently, identifying local, regional or national intervention models capable, of altering the dynamics of obesity at scales that make a difference remains a challenge. The fact that consumption of healthful foods among most youth has yet to meet recommended nutritional standards highlights a lack of effective policies aimed at addressing the epidemic of obesity. Mathematical models are used to evaluate the roles of socialization and school environment on the diet dynamics of children. Data suggest that standard nutrition education programs may have, at best, minimal impact in altering diet dynamics at the population-level. Inclusion of peer influence (model as contagion) reinforced by the use of culturally-sensitive school menus (environmental disruption) may prove capable of modifying obesity enhancing diet dynamics; altering the diets of a significant (critical) proportion of youngsters. A framework is introduced to explore the value of behavior-based interventions and policies that account for the sociocultural environments of at risk communities. These models capture carefully choreographed scenarios to account for the fact that when dealing with diet-dynamics systems, thinking additively is not enough as it cannot account for the power of nonlinear effects.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"5 1","pages":"275-306"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2018.1552543","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36918858","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: 5

Technology as a tool in teaching quantitative biology at the secondary and undergraduate levels: a review. 技术作为中学和大学阶段定量生物学教学的工具:综述。

Letters in Biomathematics Pub Date : 2018-01-01 Epub Date: 2017-12-26 DOI: 10.1080/23737867.2017.1413432

Miranda M Chen, S M Scott, Jessica D Stevens

引用次数: 18

Mathematical modeling, analysis and simulation of the spread of Zika with influence of sexual transmission and preventive measures 性传播对寨卡病毒传播的影响及预防措施的数学建模、分析和模拟

Letters in Biomathematics Pub Date : 2017-01-01 DOI: 10.1080/23737867.2017.1319746

P. Padmanabhan, P. Seshaiyer, C. Castillo-Chavez

{"title":"Mathematical modeling, analysis and simulation of the spread of Zika with influence of sexual transmission and preventive measures","authors":"P. Padmanabhan, P. Seshaiyer, C. Castillo-Chavez","doi":"10.1080/23737867.2017.1319746","DOIUrl":"https://doi.org/10.1080/23737867.2017.1319746","url":null,"abstract":"Abstract The Zika arbovirus transmitted by the Aedes aegypti mosquitoes has been shown to be capable of infecting humans via two routes: the bites of infected vectors and through sexual contacts involving infected and non-infected persons. There is no treatment and current prevention or mitigating efforts rely on the use of the Centers for Disease Control and Prevention recommendations including the use of insecticide-treated bed nets (ITN) and indoor residual spraying (IRS). In this work, we investigate via a mathematical model, the role of ITN and IRS as methods for limiting the impact of Zika transmission. We introduce a model that builds on classical SEIR epidemiological single outbreak models. We compute the basic and control reproduction numbers and the final epidemic size in the presence of control measures ITN and IRS. We derive a gross estimate for the rate of sexual transmission, during the initial stages of the outbreak, in terms of prior estimates of the basic reproduction number from related albeit not sexually transmitted arboviral diseases.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"4 1","pages":"148 - 166"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2017.1319746","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48507869","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: 34