Mathematical medicine and biology : a journal of the IMA最新文献_第9页

Back matter 背景材料

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01

引用次数: 0

Strategy for stochastic dose-rate induced enhanced elimination of malignant tumour without dose escalation 随机剂量率诱导恶性肿瘤增强消除而不增加剂量的策略

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv012

Subhadip Paul;Prasun Kumar Roy

{"title":"Strategy for stochastic dose-rate induced enhanced elimination of malignant tumour without dose escalation","authors":"Subhadip Paul;Prasun Kumar Roy","doi":"10.1093/imammb/dqv012","DOIUrl":"10.1093/imammb/dqv012","url":null,"abstract":"The efficacy of radiation therapy, a primary modality of cancer treatment, depends in general upon the total radiation dose administered to the tumour during the course of therapy. Nevertheless, the delivered radiation also irradiates normal tissues and dose escalation procedure often increases the elimination of normal tissue as well. In this article, we have developed theoretical frameworks under the premise of linear-quadratic-linear (LQL) model using stochastic differential equation and Jensen's inequality for exploring the possibility of attending to the two therapeutic performance objectives in contraposition—increasing the elimination of prostate tumour cells and enhancing the relative sparing of normal tissue in fractionated radiation therapy, within a prescribed limit of total radiation dose. Our study predicts that stochastic temporal modulation in radiation dose-rate appreciably enhances prostate tumour cell elimination, without needing dose escalation in radiation therapy. However, constant higher dose-rate can also enhance the elimination of tumour cells. In this context, we have shown that the sparing of normal tissue with stochastic dose-rate is considerably more than the sparing of normal tissue with the equivalent constant higher dose-rate. Further, by contrasting the stochastic dose-rate effects under LQL and linear-quadratic (LQ) models, we have also shown that the LQ model over-estimates stochastic dose-rate effect in tumour and under-estimates the stochastic dose-rate effect in normal tissue. Our study indicates the possibility of utilizing stochastic modulation of radiation dose-rate for designing enhanced radiation therapy protocol for cancer.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"33 3","pages":"319-328"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33365615","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

Front matter 前页

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01

引用次数: 0

On the stability of a spherical tumour 球形肿瘤的稳定性

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv016

George Dassios;Vasiliki Christina Panagiotopoulou

引用次数: 1

A coupled non-Fickian model of a cardiovascular drug delivery system 心血管给药系统的耦合非菲克模型

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv023

J. A. Ferreira;J. Naghipoor;Paula de Oliveira

引用次数: 12

Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy 低级别胶质瘤的极端延长:一种新的治疗策略概念的理论证明

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv017

Victor M. Pérez-García;Luis A. Pérez-Romasanta

{"title":"Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy","authors":"Victor M. Pérez-García;Luis A. Pérez-Romasanta","doi":"10.1093/imammb/dqv017","DOIUrl":"10.1093/imammb/dqv017","url":null,"abstract":"Grade II gliomas are slowly growing primary brain tumours that affect mostly young patients and become fatal after a variable time period. Current clinical handling includes surgery as first-line treatment. Cytotoxic therapies (radiotherapy RT or chemotherapy QT) are used initially only for patients having a bad prognosis. Therapies are administered following the ‘maximum dose in minimum time’ principle, which is the same schedule used for high-grade brain tumours. Using mathematical models describing the growth of these tumours in response to radiotherapy, we find that an extreme protraction therapeutical strategy, i.e. enlarging substantially the time interval between RT fractions, may lead to better tumour control. Explicit formulas are found providing the optimal spacing between doses in a very good agreement with the simulations of the full 3D mathematical model approximating the tumour spatiotemporal dynamics. This idea, although breaking the well-established paradigm, has biological meaning since, in these slowly growing tumours, it may be more favourable to treat the tumour as the tumour cells leave the quiescent compartment and move into the cell cycle.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"33 3","pages":"253-271"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv017","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33301568","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: 2

Paradox of enrichment and system order reduction: bacteriophages dynamics as case study 富集与系统序降的悖论:噬菌体动力学的个案研究

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv025

Andrei Korobeinikov;Elena Shchepakina;Vladimir Sobolev

引用次数: 15

Aggregation and asymptotic analysis of an SI-epidemic model for heterogeneous populations 异质群体si -流行病模型的聚集和渐近分析

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-09-01 DOI: 10.1093/imammb/dqv018

V. M. Veliov;A. Widder

{"title":"Aggregation and asymptotic analysis of an SI-epidemic model for heterogeneous populations","authors":"V. M. Veliov;A. Widder","doi":"10.1093/imammb/dqv018","DOIUrl":"10.1093/imammb/dqv018","url":null,"abstract":"The paper investigates a version of a simple epidemiological model involving only susceptible and infected individuals, where the heterogeneity of the population with respect to susceptibility/infectiousness is taken into account. A comprehensive analysis of the asymptotic behaviour of the disease is given, based on an explicit aggregation of the model. The results are compared with those of a homogeneous version of the model to highlight the influence of the heterogeneity on the asymptotics. Moreover, the performed analysis reveals in which cases incomplete information about the heterogeneity of the population is sufficient in order to determine the long-run outcome of the disease. Numerical simulation is used to emphasize that, for a given level of prevalence, the evolution of the disease under the influence of heterogeneity may in the long run qualitatively differ from the one ‘predicted’ by the homogeneous model. Furthermore, it is shown that, in a closed population, the indicator for the survival of the population is in the presence of heterogeneity distinct from the basic reproduction number.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"33 3","pages":"295-318"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33333819","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

Exploring the benefits of antibody immune response in HIV-1 infection using a discrete model 利用离散模型探索抗体免疫应答在HIV-1感染中的益处

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-06-01 DOI: 10.1093/imammb/dqv014

S. P. Showa;F. Nyabadza;S. D. Hove-Musekwa;G. Magombedze

{"title":"Exploring the benefits of antibody immune response in HIV-1 infection using a discrete model","authors":"S. P. Showa;F. Nyabadza;S. D. Hove-Musekwa;G. Magombedze","doi":"10.1093/imammb/dqv014","DOIUrl":"10.1093/imammb/dqv014","url":null,"abstract":"The role of antibodies in HIV-1 infection is investigated using a discrete-time mathematical model that considers cell-free and cell-associated transmission of the virus. Model analysis shows that the effect of each type of antibody is dependent on the stage of the infection. Neutralizing antibodies are efficient in controlling the viral levels in the early days after seroconversion and antibodies that coat HIV-1-infected cells and recruit effector cells to either kill the HIV-1-infected cells or inhibit viral replication are efficient when the infection becomes established. Model simulations show that antibodies that inhibit viral replication are more effective in controlling the infection than those that recruit Natural Killer T cells after infection establishment. The model was fitted to subjects of the Tsedimoso study conducted in Botswana and conclusions similar to elasticity analysis results were obtained. Model fitting results predicted that neutralizing antibodies are more efficient in controlling the viral levels than antibodies that coat HIV-1-infected cells and recruit effector cells to either kill the HIV-1-infected cells or inhibit viral replication in the early days after seroconversion.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"33 2","pages":"189-210"},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33240226","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: 3

Computed tear film and osmolarity dynamics on an eye-shaped domain 眼形区域上计算泪膜和渗透压动力学

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-06-01 DOI: 10.1093/imammb/dqv013

Longfei Li;Richard J. Braun;Tobin A. Driscoll;William D. Henshaw;Jeffrey W. Banks;P. Ewen King-Smith

引用次数: 20