The role of cell lysis and matrix deposition in tumor growth modeling

Santagiuliana, Raffaella; Stigliano, Cinzia; Mascheroni, Pietro; Ferrari, Mauro; Decuzzi, Paolo; Schrefler, Bernhard A.

doi:10.1186/s40323-015-0040-x

Cited by 15 publications

(18 citation statements)

References 44 publications

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“…Herein, the sum ∑ κ∈I cs κ→s M in TCAT notation denotes a generic mass transfer term for all phases κ with the solid phase s, which might be used to model ECM deposition, see [18]. Solving Eq.…”

Section: Extensions To the Original Model Equations Of The Fluid Phasesmentioning

confidence: 99%

“…A Perzyna viscoplastic model has been employed in [17,18,36] for the ECM remodeling. In this work, the focus does not lie on the ECM behavior which is why we will solely employ hyperelastic materials hereafter even though a Perzyna type model is available in our implementation.…”

Section: Constitutive Equationsmentioning

confidence: 99%

“…Lysis and ECM deposition as introduced in [18] are not considered in this paper but the two additional mass transfer terms can easily be included.…”

Section: Constitutive Equationsmentioning

confidence: 99%

“…Furthermore, a simple Saint Venant-Kirchhoff material model is employed for the ECM. However, the results in terms of numerical performance are transferable to the more complicated material laws employed in [17,18].…”

Section: Performance Comparison Between Monolithic and Partitioned Apmentioning

confidence: 99%

“…Subsequently, the interactions of the fluid phases have been investigated in [15,16] and a deformable ECM has been introduced in [17]. Recently, the model has been enhanced with cell lysis and matrix deposition [18].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A monolithic multiphase porous medium framework for (a-)vascular tumor growth

Kremheller

Vuong

Yoshihara

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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We present a dynamic vascular tumor model combining a multiphase porous medium framework for avascular tumor growth in a consistent Arbitrary Lagrangian Eulerian formulation and a novel approach to incorporate angiogenesis. The multiphase model is based on Thermodynamically Constrained Averaging Theory and comprises the extracellular matrix as a porous solid phase and three fluid phases: (living and necrotic) tumor cells, host cells and the interstitial fluid. Angiogenesis is modeled by treating the neovasculature as a proper additional phase with volume fraction or blood vessel density. This allows us to define consistent inter-phase exchange terms between the neovasculature and the interstitial fluid. As a consequence, transcapillary leakage and lymphatic drainage can be modeled. By including these important processes we are able to reproduce the increased interstitial pressure in tumors which is a crucial factor in drug delivery and, thus, therapeutic outcome. Different coupling schemes to solve the resulting five-phase problem are realized and compared with respect to robustness and computational efficiency. We find that a fully monolithic approach is superior to both the standard partitioned and a hybrid monolithic-partitioned scheme for a wide range of parameters. The flexible implementation of the novel model makes further extensions (e.g., inclusion of additional phases and species) straightforward.

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Section: Extensions To the Original Model Equations Of The Fluid Phasesmentioning

confidence: 99%

Section: Constitutive Equationsmentioning

confidence: 99%

“…Lysis and ECM deposition as introduced in [18] are not considered in this paper but the two additional mass transfer terms can easily be included.…”

Section: Constitutive Equationsmentioning

confidence: 99%

Section: Performance Comparison Between Monolithic and Partitioned Apmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A monolithic multiphase porous medium framework for (a-)vascular tumor growth

Kremheller

Vuong

Yoshihara

et al. 2018

Computer Methods in Applied Mechanics and Engineering

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Multifield Problems

Schrefler

Simoni

Markert

2017

Encyclopedia of Computational Mechanics Second Edition

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This chapter deals with multifield problems with overlapping domains. A review of a series of typical problems belonging to this class is first presented, where examples of up to six overlapping fields are shown. Then the most popular solution procedures are discussed. They are either the monolithic method or decoupled solution strategies involving some matrix partitioning. These methods are illustrated on selected model problems. The respective numerical properties and related issues are discussed and examples are shown.

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Predicting the role of microstructural and biomechanical cues in tumor growth and spreading

Santagiuliana

Pereira

Schrefler

et al. 2017

Numer Methods Biomed Eng

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A continuum porous media model is developed for elucidating the role of the mechanical cues in regulating tumor growth and spreading. It is shown that stiffer matrices and higher cell-matrix adhesion limit tumor growth and spreading toward the surrounding tissue. Higher matrix porosities, conversely, favor the growth and the dissemination of tumor cells. This model could be used for predicting the response of malignant masses to novel therapeutic agents affecting directly the tumor microenvironment and its micromechanical cues.

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The role of cell lysis and matrix deposition in tumor growth modeling

Cited by 15 publications

References 44 publications

A monolithic multiphase porous medium framework for (a-)vascular tumor growth

A monolithic multiphase porous medium framework for (a-)vascular tumor growth

Multifield Problems

Predicting the role of microstructural and biomechanical cues in tumor growth and spreading

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