Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network

Fritz, Marvin; Jha, Prashant K.; Köppl, Tobias; Oden, J. Tinsley; Wohlmuth, Barbara

doi:10.1016/j.nonrwa.2021.103331

Title: Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network

Journal Article · 09 April 2021 · Nonlinear Analysis: Real World Applications

DOI: https://doi.org/10.1016/j.nonrwa.2021.103331 · OSTI ID:1977499

^[1]; Jha, Prashant K. ^[2]; Köppl, Tobias ^[1]; Oden, J. Tinsley ^[2]; Wohlmuth, Barbara ^[1]

Technical University of Munich (Germany)
University of Texas, Austin, TX (United States)

In this study, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The model is of phase-field or diffused-interface type in which multiple phases of cell species and other constituents are separated by smooth evolving interfaces. The model involves a mesoscale version of Darcy’s law to capture the flow mechanism in the tissue matrix. Modeling flow and transport processes in the vasculature supplying the healthy and cancerous tissue, one-dimensional (1D) equations are considered. Since the models governing the transport and flow processes are defined together with cell species models on a three-dimensional (3D) domain, we obtain a 3D–1D coupled model.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE

Grant/Contract Number:: SC0019303

OSTI ID:: 1977499

Alternate ID(s):: OSTI ID: 1815138

Journal Information:: Nonlinear Analysis: Real World Applications, Vol. 61, Issue C; ISSN 1468-1218

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network

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