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纳入分子结合过程的细胞迁移结构化模型。

Structured models of cell migration incorporating molecular binding processes.

作者信息

Domschke Pia, Trucu Dumitru, Gerisch Alf, Chaplain Mark A J

机构信息

Fachbereich Mathematik, Technische Universität Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany.

Division of Mathematics, University of Dundee, Dundee, DD1 4HN, UK.

出版信息

J Math Biol. 2017 Dec;75(6-7):1517-1561. doi: 10.1007/s00285-017-1120-y. Epub 2017 Apr 12.

DOI:10.1007/s00285-017-1120-y
PMID:28405746
Abstract

The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological scenarios such as wound healing and cancer. Information about the various structures embedded within these processes allows a detailed exploration of the binding of molecular species to cell-surface receptors within the evolving cell population. In this paper we establish a general spatio-temporal-structural framework that enables the description of molecular binding to cell membranes coupled with the cell population dynamics. We first provide a general theoretical description for this approach and then illustrate it with three examples arising from cancer invasion.

摘要

集体细胞运动与伴随的细胞信号传导机制中涉及的各种分子之间的动态相互作用,在许多生物学过程中起着至关重要的作用,包括正常组织发育以及诸如伤口愈合和癌症等病理情况。有关这些过程中嵌入的各种结构的信息,有助于详细探究分子种类与不断演变的细胞群体内细胞表面受体的结合情况。在本文中,我们建立了一个通用的时空结构框架,该框架能够描述分子与细胞膜的结合以及细胞群体动态。我们首先对这种方法进行一般性的理论描述,然后通过癌症侵袭产生的三个例子对其进行说明。

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Structured models of cell migration incorporating molecular binding processes.纳入分子结合过程的细胞迁移结构化模型。
J Math Biol. 2017 Dec;75(6-7):1517-1561. doi: 10.1007/s00285-017-1120-y. Epub 2017 Apr 12.
2
Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model.计算方法和分析用于时空结构侵袭性癌模型。
Bull Math Biol. 2018 Apr;80(4):701-737. doi: 10.1007/s11538-018-0396-4. Epub 2018 Mar 2.
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A Multiscale Mathematical Model of Tumour Invasive Growth.肿瘤侵袭性生长的多尺度数学模型
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Endogenous receptor-bound urokinase mediates tissue invasion of the human lung carcinoma cell lines A549 and Calu-1.内源性受体结合型尿激酶介导人肺癌细胞系A549和Calu-1的组织侵袭。
Cancer Res. 1992 Jun 1;52(11):3043-7.
5
[Navigational receptors in cells: physiological role and mechanisms of functioning].[细胞中的导航受体:生理作用及功能机制]
Fiziol Zh (1994). 2011;57(5):80-3.
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The urokinase plasminogen activator and its receptor: role in cell growth and apoptosis.尿激酶型纤溶酶原激活剂及其受体:在细胞生长和凋亡中的作用。
Thromb Haemost. 2005 Feb;93(2):205-11. doi: 10.1160/TH04-09-0592.
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Urokinase and urokinase receptor: a paracrine/autocrine system regulating cell migration and invasiveness.尿激酶与尿激酶受体:一个调节细胞迁移和侵袭的旁分泌/自分泌系统。
Bioessays. 1993 Feb;15(2):105-11. doi: 10.1002/bies.950150206.
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uPAR: a versatile signalling orchestrator.尿激酶型纤溶酶原激活物受体:一种多功能信号协调因子。
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Influence of urokinase on cell proliferation and invasion.尿激酶对细胞增殖和侵袭的影响。
Blood Coagul Fibrinolysis. 1990 Dec;1(6):717-20.
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The urokinase-system--role of cell proliferation and apoptosis.尿激酶系统——细胞增殖与凋亡的作用
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Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods.集体细胞迁移中的表型构建:数学模型与方法教程
J Math Biol. 2025 May 16;90(6):61. doi: 10.1007/s00285-025-02223-y.
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Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction-Diffusion and Chemotaxis.模式形成的新方面源于图灵反应扩散和趋化作用的耦合。
Bull Math Biol. 2023 Dec 1;86(1):4. doi: 10.1007/s11538-023-01225-5.
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Collective Cell Migration in a Fibrous Environment: A Hybrid Multiscale Modelling Approach.纤维环境中的集体细胞迁移:一种混合多尺度建模方法。

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Glioma follow white matter tracts: a multiscale DTI-based model.胶质瘤沿白质束生长:基于多尺度扩散张量成像的模型
J Math Biol. 2015 Sep;71(3):551-82. doi: 10.1007/s00285-014-0822-7. Epub 2014 Sep 12.
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Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns.癌症侵袭的数学建模:细胞黏附变异性对肿瘤浸润性生长模式的影响
J Theor Biol. 2014 Nov 21;361:41-60. doi: 10.1016/j.jtbi.2014.07.010. Epub 2014 Jul 24.
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Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling.
Front Appl Math Stat. 2021 Jun;7. doi: 10.3389/fams.2021.680029. Epub 2021 Jun 25.
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Nonlocal and local models for taxis in cell migration: a rigorous limit procedure.细胞迁移中出租车的非局部和局部模型:严格的极限过程。
J Math Biol. 2020 Dec;81(6-7):1251-1298. doi: 10.1007/s00285-020-01536-4. Epub 2020 Oct 17.
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Mathematical models for cell migration: a non-local perspective.细胞迁移的数学模型:非局部观点。
Philos Trans R Soc Lond B Biol Sci. 2020 Sep 14;375(1807):20190379. doi: 10.1098/rstb.2019.0379. Epub 2020 Jul 27.
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Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments.在周期性波动环境中竞争表型结构种群的进化动态。
J Math Biol. 2020 Feb;80(3):775-807. doi: 10.1007/s00285-019-01441-5. Epub 2019 Oct 22.
7
Construction of a competing endogenous RNA network using differentially expressed lncRNAs, miRNAs and mRNAs in non‑small cell lung cancer.构建竞争性内源性 RNA 网络,使用非小细胞肺癌中差异表达的 lncRNA、miRNA 和 mRNA。
Oncol Rep. 2019 Dec;42(6):2402-2415. doi: 10.3892/or.2019.7378. Epub 2019 Oct 17.
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A Mathematical Framework for Modelling the Metastatic Spread of Cancer.用于癌症转移扩散建模的数学框架
Bull Math Biol. 2019 Jun;81(6):1965-2010. doi: 10.1007/s11538-019-00597-x. Epub 2019 Mar 22.
9
INVESTIGATION OF A STRUCTURED FISHER'S EQUATION WITH APPLICATIONS IN BIOCHEMISTRY.具有生物化学应用的结构化费希尔方程研究
SIAM J Appl Math. 2018;78(3):1712-1736. doi: 10.1137/16M1108546. Epub 2018 Jun 19.
细菌趋化性的宏观方程:细胞信号传导详细生物化学的整合
J Math Biol. 2015 Jan;70(1-2):1-44. doi: 10.1007/s00285-013-0748-5. Epub 2013 Dec 24.
4
Mathematical modeling of cancer invasion: the role of membrane-bound matrix metalloproteinases.癌症侵袭的数学建模:膜结合基质金属蛋白酶的作用。
Front Oncol. 2013 Apr 3;3:70. doi: 10.3389/fonc.2013.00070. eCollection 2013.
5
Mathematical determination of cell population doubling times for multiple cell lines.多细胞系细胞群体倍增时间的数学测定。
Bull Math Biol. 2012 Oct;74(10):2510-34. doi: 10.1007/s11538-012-9764-7. Epub 2012 Aug 23.
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Derivation of stochastic partial differential equations for size- and age-structured populations.大小和年龄结构种群的随机偏微分方程的推导。
J Biol Dyn. 2009 Jan;3(1):73-86. doi: 10.1080/17513750802162754.
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The contribution of age structure to cell population responses to targeted therapeutics.年龄结构对靶向治疗药物的细胞群体反应的影响。
J Theor Biol. 2012 Oct 21;311:19-27. doi: 10.1016/j.jtbi.2012.07.001. Epub 2012 Jul 11.
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Multiscale cancer modeling.多尺度癌症建模。
Annu Rev Biomed Eng. 2011 Aug 15;13:127-55. doi: 10.1146/annurev-bioeng-071910-124729.
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