An image-informed Cahn–Hilliard Keller–Segel multiphase field model for tumor growth with angiogenesis
نویسندگان
چکیده
In this paper we develop a new four-phase tumor growth model with angiogenesis, derived from diffuse-interface mixture composed by viable component, necrotic liquid component and an angiogenetic coupled two massless chemicals representing perfectly diluted nutrient factor. This is variational principles complying the second law of thermodynamics in isothermal situations, starting biological constitutive assumptions on cells adhesion properties infiltrative mechanics tumor-induced vasculature tissues, takes form degenerate Cahn–Hilliard Keller–Segel system for components reaction diffusion equations chemicals. The informed neuroimaging data, which give informations about patient-specific brain geometry tissues microstructure, distribution different components, white matter fiber orientations density. We describe specific robust preprocessing steps to extract quantitative data construct computational platform solve basis. further introduce finite element approximation preserve qualitative continuous solutions. Finally, show simulation results evolution patient affected GlioBlastoma Multiforme, considering test cases before surgery, corresponding situations high or low supply inside tumor, case after surgery. perform sensitivity based parameters estimation longitudinal acquired at time points that our correctly predicts overall extension intensity process, paving way assisting clinicians properly assessing therapy outcomes designing optimal therapeutic schedules.
منابع مشابه
Plants as useful agents for angiogenesis and tumor growth prevention
Introduction: Angiogenesis, the process of new blood vessel formation from pre-existing vessels, has important physiological roles in embryonic development, female reproduction cycle, and wound healing. It is also crucial for pathological processes in several diseases especially tumor growth and metastasis. Thereby, inhibition of angiogenesis as an addition to the conventional therapies such...
متن کاملA multiphase model for three-dimensional tumor growth.
Several mathematical formulations have analyzed the time-dependent behaviour of a tumor mass. However, most of these propose simplifications that compromise the physical soundness of the model. Here, multiphase porous media mechanics is extended to model tumor evolution, using governing equations obtained via the Thermodynamically Constrained Averaging Theory (TCAT). A tumor mass is treated as ...
متن کاملTwo Dimensional Mathematical Model of Tumor Angiogenesis: Coupling of Avascular Growth and Vascularization
Introduction As a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. In this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. Materials and Methods In the avascular growth model, tumor is considered as a single mass, wh...
متن کاملTherapeutic electromagnetic field effects on angiogenesis and tumor growth.
BACKGROUND A new approach to cancer therapy based on the application of therapeutic electromagnetic fields (TEMF) has been developed by EMF Therapeutics, Inc., Chattanooga, TN, USA. This study was designed to assess the effect of TEMF on tumor vascularization and growth of murine 16/C mammary adenocarcinoma cells in C3H/HeJ mice. MATERIALS AND METHODS Implanted tumors were allowed to grow for...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2023
ISSN: ['1873-5649', '0096-3003']
DOI: https://doi.org/10.1016/j.amc.2023.127834