Mathematical medicine and biology : a journal of the IMA最新文献_第7页

Alzheimer's disease: a mathematical model for onset and progression 阿尔茨海默病:发病和发展的数学模型

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-06-01 DOI: 10.1093/imammb/dqw003

Michiel Bertsch;Bruno Franchi;Norina Marcello;Maria Carla Tesi;Andrea Tosin

引用次数: 79

A syringe-sharing model for the spread of HIV: application to Omsk, Western Siberia 艾滋病毒传播的注射器共用模式:在西伯利亚西部鄂木斯克的应用

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv036

Marc Artzrouni;Vasiliy N. Leonenko;Thierry A. Mara

{"title":"A syringe-sharing model for the spread of HIV: application to Omsk, Western Siberia","authors":"Marc Artzrouni;Vasiliy N. Leonenko;Thierry A. Mara","doi":"10.1093/imammb/dqv036","DOIUrl":"10.1093/imammb/dqv036","url":null,"abstract":"A system of two differential equations is used to model the transmission dynamics of human immunodeficiency virus between ‘persons who inject drugs’ (PWIDs) and their syringes. Our vector-borne disease model hinges on a metaphorical urn from which PWIDs draw syringes at random which may or may not be infected and may or may not result in one of the two agents becoming infected. The model's parameters are estimated with data mostly from the city of Omsk in Western Siberia. A linear trend in PWID prevalence in Omsk could only be fitted by considering a time-dependent version of the model captured through a secular decrease in the probability that PWIDs decide to share a syringe. A global sensitivity analysis is performed with 14 parameters considered random variables in order to assess their impact on average numbers infected over a 50-year projection. With obvious intervention implications the drug injection rate and the probability of syringe-cleansing are the only parameters whose coefficients of correlations with numbers of infected PWIDs and infected syringes have an absolute value close to or larger than 0.40.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"34 1","pages":"15-37"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv036","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"34107572","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

Insights from mathematical modelling for T cell migration into the central nervous system 从T细胞迁移到中枢神经系统的数学模型的见解

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv038

T. Ruck;S. Bittner;S. G. Meuth;M. Herty

{"title":"Insights from mathematical modelling for T cell migration into the central nervous system","authors":"T. Ruck;S. Bittner;S. G. Meuth;M. Herty","doi":"10.1093/imammb/dqv038","DOIUrl":"10.1093/imammb/dqv038","url":null,"abstract":"The migration of immune cells from peripheral immune organs into the central nervous system (CNS) through the blood–brain barrier (BBB) is a tightly regulated process. The complex interplay between cells of the BBB and immune cells coordinates cell migration as a part of normal immune surveillance while its dysregulation is critically involved in the pathogenesis of various CNS diseases. To develop tools for a deeper understanding of distribution and migratory pattern of immune cells regulated by the BBB, we made use of a mathematical modelling approach derived from Markov chain theory. We present a data-driven model using a derivation of kinetic differential equations from a particle game. According to the theory of gases, these equations allow one to predict the mean behaviour of a large class of cells by modelling cell–cell interactions. We used this model to assess the distribution of naive, central memory and effector memory T lymphocytes in the peripheral blood and cerebrospinal fluid. Our model allows us to evaluate the impact of activation status, migratory capacity and cell death for cell distribution in the peripheral blood and the CNS.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"34 1","pages":"39-58"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv038","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"34200032","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

What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons? 在退化的轴突中，tau蛋白转运的什么机制可能导致tau蛋白浓度梯度倒置?

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv041

I. A. Kuznetsov;A. V. Kuznetsov

{"title":"What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons?","authors":"I. A. Kuznetsov;A. V. Kuznetsov","doi":"10.1093/imammb/dqv041","DOIUrl":"https://doi.org/10.1093/imammb/dqv041","url":null,"abstract":"In tauopathies, such as Alzheimer's disease (AD), microtubule (MT)-associated protein tau detaches from MTs and aggregates, eventually forming insoluble neurofibrillary tangles. In a healthy axon, the tau concentration increases toward the axon terminal, but in a degenerating axon, the tau concentration gradient is inverted and the highest tau concentration is in the soma. In this article, we developed a mathematical model of tau transport in axons. We calibrated and tested the model by using published distributions of tau concentration and tau average velocity in a healthy axon. According to published research, the inverted tau concentration gradient may be one of the reasons leading to AD. We therefore used the model to investigate what modifications in tau transport can lead to the inverted tau concentration gradient. We investigated whether tau detachment from MTs due to tau hyperphosphorylation can cause the inverted tau concentration gradient. We found that the assumption that most tau molecules are detached from MTs does not consistently predict the inverted tau concentration gradient; the predicted tau distribution becomes more uniform if the axon length is increased. We then hypothesized that in degenerating axons some tau remains bound to MTs and participates in the component ‘a’ of slow axonal transport but that the rate of tau reversals from anterograde to retrograde motion increases. We demonstrated that this hypothesis results in a tau distribution where the tau concentration has its maximum value at the axon hillock and its minimum value at the axon terminal, in agreement with what is observed in AD. Our results thus suggest that defects in active transport of tau may be a contributing factor to the onset of neural degeneration.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"34 1","pages":"125-150"},"PeriodicalIF":0.0,"publicationDate":"2017-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv041","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49992393","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: 7

Sensitivity analysis for dose deposition in radiotherapy via a Fokker–Planck model 利用Fokker-Planck模型分析放射治疗中剂量沉积的敏感性

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv039

Richard C. Barnard;Martin Frank;Kai Krycki

引用次数: 2

A biochemical and mechanical model of injury-induced intimal thickening 损伤性内膜增厚的生化和力学模型

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv040

Pak-Wing Fok;Rebecca Sanft

引用次数: 14

The usage of a three-compartment model to investigate the metabolic differences between hepatic reductase null and wild-type mice 使用三室模型研究肝还原酶缺失小鼠和野生型小鼠之间的代谢差异

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv029

Lydia Hill;Mark A. J. Chaplain;Roland Wolf;Yury Kapelyukh

引用次数: 2

A non-local model for cancer stem cells and the tumour growth paradox 癌症干细胞的非局部模型和肿瘤生长悖论

Mathematical medicine and biology : a journal of the IMA Pub Date : 2017-03-01 DOI: 10.1093/imammb/dqv037

I. Borsi;A. Fasano;M. Primicerio;T. Hillen

引用次数: 0

Uncovering the natural history of cancer from post-mortem cross-sectional diameters of hepatic metastases 从死后肝转移瘤的横切面直径揭示癌症的自然历史

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-12-01 DOI: 10.1093/imammb/dqv026

Leonid Hanin;Jason Rose

{"title":"Uncovering the natural history of cancer from post-mortem cross-sectional diameters of hepatic metastases","authors":"Leonid Hanin;Jason Rose","doi":"10.1093/imammb/dqv026","DOIUrl":"10.1093/imammb/dqv026","url":null,"abstract":"We develop a mathematical and statistical methodology for estimation of important unobservable characteristics of the individual natural history of cancer from a sample of cross-sectional diameters of liver metastases measured at autopsy. Estimation of the natural history of cancer is based on a previously proposed stochastic model of cancer progression tailored to this type of observations. The model accounts for primary tumour growth, shedding of metastases, their selection, latency and growth in a given secondary site. The model was applied to the aforementioned data on 428 liver metastases detected in one untreated small cell lung cancer patient. Identifiable model parameters were estimated by the method of maximum likelihood and through minimizing the \u0000<tex>$L^{2}$</tex>\u0000 distance between theoretical and empirical cumulative distribution functions. The model with optimal parameters provided an excellent fit to the data. Results of data analysis support, if only indirectly, the hypothesis of the existence of stem-like cancer cells in the case of small cell lung carcinoma and point to the possibility of suppression of metastatic growth by a large primary tumour. They also lead to determination of the lower and upper bounds for the age of cancer onset and expected duration of metastatic latency. Finally, model-based inference on the patient's natural history of cancer allowed us to conclude that resection of the primary tumour would most likely not have had a curative effect.","PeriodicalId":94130,"journal":{"name":"Mathematical medicine and biology : a journal of the IMA","volume":"33 4","pages":"397-416"},"PeriodicalIF":0.0,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/imammb/dqv026","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33892862","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: 7

A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity 生物膜生长的流体动力学多维模型:稳定性、环境影响和敏感性

Mathematical medicine and biology : a journal of the IMA Pub Date : 2016-12-01 DOI: 10.1093/imammb/dqv024

F. Clarelli;C. Di Russo;R. Natalini;M. Ribot

引用次数: 16