• Reference Citation Analysis
  • v
  • v
  • Find an Article
Find an Article PDF (4668996)   Today's Articles (3161)   Subscriber (51797)
For: Tosin A, Ambrosi D, Preziosi L. Mechanics and chemotaxis in the morphogenesis of vascular networks. Bull Math Biol 2006;68:1819-36. [PMID: 16817028 DOI: 10.1007/s11538-006-9071-2] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2005] [Accepted: 10/20/2005] [Indexed: 11/28/2022]
Number Cited by Other Article(s)
1
Al-Badri G, Phillips JB, Shipley RJ, Ovenden NC. Formation of vascular-like structures using a chemotaxis-driven multiphase model. Math Biosci 2024;372:109183. [PMID: 38554855 DOI: 10.1016/j.mbs.2024.109183] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/28/2023] [Revised: 03/18/2024] [Accepted: 03/21/2024] [Indexed: 04/02/2024]
2
Yakovlev EV, Simkin IV, Shirokova AA, Kolotieva NA, Novikova SV, Nasyrov AD, Denisenko IR, Gursky KD, Shishkov IN, Narzaeva DE, Salmina AB, Yurchenko SO, Kryuchkov NP. Machine learning approach for recognition and morphological analysis of isolated astrocytes in phase contrast microscopy. Sci Rep 2024;14:9846. [PMID: 38684715 PMCID: PMC11059356 DOI: 10.1038/s41598-024-59773-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2023] [Accepted: 04/15/2024] [Indexed: 05/02/2024]  Open
3
Crossley RM, Johnson S, Tsingos E, Bell Z, Berardi M, Botticelli M, Braat QJS, Metzcar J, Ruscone M, Yin Y, Shuttleworth R. Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist. Front Cell Dev Biol 2024;12:1354132. [PMID: 38495620 PMCID: PMC10940354 DOI: 10.3389/fcell.2024.1354132] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2023] [Accepted: 02/12/2024] [Indexed: 03/19/2024]  Open
4
Huo X, Jüngel A. Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier-Stokes Equations Modeling Vascular Network Formation. JOURNAL OF MATHEMATICAL FLUID MECHANICS : JMFM 2024;26:11. [PMID: 38261880 PMCID: PMC10796441 DOI: 10.1007/s00021-023-00840-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Accepted: 10/19/2023] [Indexed: 01/25/2024]
5
Sakai K, Hayashi T, Sakai Y, Mada J, Tonami K, Uchijima Y, Kurihara H, Tokihiro T. A three-dimensional model with two-body interactions for endothelial cells in angiogenesis. Sci Rep 2023;13:20549. [PMID: 37996513 PMCID: PMC10667370 DOI: 10.1038/s41598-023-47911-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2023] [Accepted: 11/20/2023] [Indexed: 11/25/2023]  Open
6
Villa C, Gerisch A, Chaplain MAJ. A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis. J Theor Biol 2022;534:110963. [PMID: 34838584 DOI: 10.1016/j.jtbi.2021.110963] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2021] [Revised: 11/03/2021] [Accepted: 11/12/2021] [Indexed: 11/18/2022]
7
Villa C, Chaplain MAJ, Gerisch A, Lorenzi T. Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress-Strain Constitutive Equations. Bull Math Biol 2021;83:80. [PMID: 34037880 PMCID: PMC8154836 DOI: 10.1007/s11538-021-00912-5] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2020] [Accepted: 05/11/2021] [Indexed: 11/25/2022]
8
Shan G, Chuan-shan H, Ming-zhu S, Xin Z. Meshwork pattern transformed from branching pattern in spherical shell domain. J Theor Biol 2018;455:293-302. [DOI: 10.1016/j.jtbi.2018.07.037] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2017] [Revised: 07/25/2018] [Accepted: 07/27/2018] [Indexed: 10/28/2022]
9
3D hybrid modelling of vascular network formation. J Theor Biol 2016;414:254-268. [PMID: 27890575 DOI: 10.1016/j.jtbi.2016.11.013] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2016] [Revised: 09/06/2016] [Accepted: 11/16/2016] [Indexed: 12/13/2022]
10
Arai S. Primary Phenomenon in the Network Formation of Endothelial Cells: Effect of Charge. Int J Mol Sci 2015;16:29148-60. [PMID: 26690133 PMCID: PMC4691096 DOI: 10.3390/ijms161226149] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2015] [Revised: 11/11/2015] [Accepted: 11/26/2015] [Indexed: 11/16/2022]  Open
11
Flegg JA, Menon SN, Maini PK, McElwain DLS. On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process. Front Physiol 2015;6:262. [PMID: 26483695 PMCID: PMC4588694 DOI: 10.3389/fphys.2015.00262] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2015] [Accepted: 09/04/2015] [Indexed: 11/13/2022]  Open
12
Dyson RJ, Green JEF, Whiteley JP, Byrne HM. An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture. J Math Biol 2015;72:1775-809. [DOI: 10.1007/s00285-015-0927-7] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2014] [Revised: 05/21/2015] [Indexed: 12/25/2022]
13
Spill F, Guerrero P, Alarcon T, Maini PK, Byrne HM. Mesoscopic and continuum modelling of angiogenesis. J Math Biol 2015;70:485-532. [PMID: 24615007 PMCID: PMC5320864 DOI: 10.1007/s00285-014-0771-1] [Citation(s) in RCA: 48] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/24/2013] [Revised: 01/14/2014] [Indexed: 10/25/2022]
14
Köhn-Luque A, de Back W, Yamaguchi Y, Yoshimura K, Herrero MA, Miura T. Dynamics of VEGF matrix-retention in vascular network patterning. Phys Biol 2013;10:066007. [DOI: 10.1088/1478-3975/10/6/066007] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
15
Scianna M, Bell C, Preziosi L. A review of mathematical models for the formation of vascular networks. J Theor Biol 2013;333:174-209. [DOI: 10.1016/j.jtbi.2013.04.037] [Citation(s) in RCA: 108] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2012] [Revised: 02/15/2013] [Accepted: 04/30/2013] [Indexed: 02/08/2023]
16
Criaco D, Dolfin M, Restuccia L. Approximate smooth solutions of a mathematical model for the activation and clonal expansion of T cells. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2013;10:59-73. [PMID: 23311362 DOI: 10.3934/mbe.2013.10.59] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
17
Computational Modeling of Angiogenesis: Towards a Multi-Scale Understanding of Cell–Cell and Cell–Matrix Interactions. MECHANICAL AND CHEMICAL SIGNALING IN ANGIOGENESIS 2013. [DOI: 10.1007/978-3-642-30856-7_8] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
18
Wyczalkowski MA, Chen Z, Filas BA, Varner VD, Taber LA. Computational models for mechanics of morphogenesis. ACTA ACUST UNITED AC 2012;96:132-52. [PMID: 22692887 DOI: 10.1002/bdrc.21013] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
19
Tosin A. Initial/boundary-value problems of tumor growth within a host tissue. J Math Biol 2012;66:163-202. [PMID: 22290313 DOI: 10.1007/s00285-012-0505-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2011] [Revised: 12/20/2011] [Indexed: 01/16/2023]
20
Scianna M. A Multiscale Hybrid Model for Pro-angiogenic Calcium Signals in a Vascular Endothelial Cell. Bull Math Biol 2011;74:1253-91. [DOI: 10.1007/s11538-011-9695-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/14/2010] [Accepted: 09/06/2011] [Indexed: 01/07/2023]
21
Early embryonic vascular patterning by matrix-mediated paracrine signalling: a mathematical model study. PLoS One 2011;6:e24175. [PMID: 21949696 PMCID: PMC3176223 DOI: 10.1371/journal.pone.0024175] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/16/2011] [Accepted: 08/01/2011] [Indexed: 11/19/2022]  Open
22
Spatial organization of mesenchymal stem cells in vitro--results from a new individual cell-based model with podia. PLoS One 2011;6:e21960. [PMID: 21760935 PMCID: PMC3132757 DOI: 10.1371/journal.pone.0021960] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2011] [Accepted: 06/15/2011] [Indexed: 11/19/2022]  Open
23
Danino T, Volfson D, Bhatia SN, Tsimring L, Hasty J. In-silico patterning of vascular mesenchymal cells in three dimensions. PLoS One 2011;6:e20182. [PMID: 21633504 PMCID: PMC3102094 DOI: 10.1371/journal.pone.0020182] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/07/2010] [Accepted: 04/27/2011] [Indexed: 01/24/2023]  Open
24
A multiscale hybrid approach for vasculogenesis and related potential blocking therapies. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2011;106:450-62. [PMID: 21300081 DOI: 10.1016/j.pbiomolbio.2011.01.004] [Citation(s) in RCA: 46] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/23/2010] [Revised: 01/25/2011] [Accepted: 01/27/2011] [Indexed: 12/16/2022]
25
Scianna M, Munaron L. Multiscale model of tumor-derived capillary-like network formation. ACTA ACUST UNITED AC 2011. [DOI: 10.3934/nhm.2011.6.597] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
26
Fractal analysis of vascular networks: Insights from morphogenesis. J Theor Biol 2010;262:614-33. [DOI: 10.1016/j.jtbi.2009.10.037] [Citation(s) in RCA: 93] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2009] [Revised: 10/20/2009] [Accepted: 10/29/2009] [Indexed: 11/17/2022]
27
Jones J. Characteristics of pattern formation and evolution in approximations of Physarum transport networks. ARTIFICIAL LIFE 2010;16:127-153. [PMID: 20067403 DOI: 10.1162/artl.2010.16.2.16202] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
28
Lowengrub JS, Frieboes HB, Jin F, Chuang YL, Li X, Macklin P, Wise SM, Cristini V. Nonlinear modelling of cancer: bridging the gap between cells and tumours. NONLINEARITY 2010;23:R1-R9. [PMID: 20808719 PMCID: PMC2929802 DOI: 10.1088/0951-7715/23/1/r01] [Citation(s) in RCA: 227] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/05/2023]
29
Billy F, Ribba B, Saut O, Morre-Trouilhet H, Colin T, Bresch D, Boissel JP, Grenier E, Flandrois JP. A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. J Theor Biol 2009;260:545-62. [DOI: 10.1016/j.jtbi.2009.06.026] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2009] [Revised: 06/16/2009] [Accepted: 06/27/2009] [Indexed: 10/20/2022]
30
Scianna M, Merks RM, Preziosi L, Medico E. Individual cell-based models of cell scatter of ARO and MLP-29 cells in response to hepatocyte growth factor. J Theor Biol 2009;260:151-60. [DOI: 10.1016/j.jtbi.2009.05.017] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/22/2008] [Revised: 05/13/2009] [Accepted: 05/13/2009] [Indexed: 11/30/2022]
31
Matzavinos A, Kao CY, Green JEF, Sutradhar A, Miller M, Friedman A. Modeling oxygen transport in surgical tissue transfer. Proc Natl Acad Sci U S A 2009;106:12091-6. [PMID: 19597143 PMCID: PMC2715514 DOI: 10.1073/pnas.0905037106] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/07/2008] [Indexed: 11/18/2022]  Open
32
Merks RMH, Perryn ED, Shirinifard A, Glazier JA. Contact-inhibited chemotaxis in de novo and sprouting blood-vessel growth. PLoS Comput Biol 2008;4:e1000163. [PMID: 18802455 PMCID: PMC2528254 DOI: 10.1371/journal.pcbi.1000163] [Citation(s) in RCA: 129] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2006] [Accepted: 07/18/2008] [Indexed: 12/16/2022]  Open
PrevPage 1 of 1 1Next
© 2004-2025 Baishideng Publishing Group Inc. All rights reserved. 7041 Koll Center Parkway, Suite 160, Pleasanton, CA 94566, USA