Nonlinear diffusion of a growth inhibitory factor in multicell spheroids.
نویسندگان
چکیده
A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data.
منابع مشابه
Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures.
In this paper we adapt an avascular tumour growth model to compare the effects of drug application on multicell spheroids and on monolayer cultures. The model for the tumour is based on nutrient driven growth of a continuum of live cells, whose birth and death generates volume changes described by a velocity field. The drug is modelled as an externally applied, diffusible material capable of ki...
متن کاملElimination of hypoxic protection by 5-thio-D-glucose in multicell spheroids.
The effect of 5-thio-D-glucose on oxic and hypoxic V79-171 Chinese hamster cells was studied in vitro with single cells and multicell spheroids. At concentrations that were not toxic to oxic cells, this compound killed hypoxic cells with a D0 of 1 hr with a 5 mM concentration and more rapidly at 10 mM beginning 2 hr after incubation at 37 degrees. 5-Thio-D-glucose also sensitized hypoxic cells ...
متن کاملOptimization of radioimmunotherapy using human malignant melanoma multicell spheroids as a model.
In vitro multicell spheroids from a human melanoma cell line and the human colon cancer cell line HT29, used as control, have been established as a model of poorly vascularized micrometastases in vivo. The antimelanoma monoclonal antibody 96.5 was radiolabeled with 131I at specific radioactivities from 1.85 to 3.96 GBq/mg. Cytotoxicity of 131I-96.5 to the spheroids, at an initial size of 300 mi...
متن کاملA new mathematical model for avascular tumour growth.
The early development of solid tumours has been extensively studied, both experimentally via the multicellular spheroid assay, and theoretically using mathematical modelling. The vast majority of previous models apply specifically to multicell spheroids, which have a characteristic structure of a proliferating rim and a necrotic core, separated by a band of quiescent cells. Many previous models...
متن کاملStresses in growing soft tissues.
Biochemical processes of tissue growth lead to production of new proteins, cells, and other material particles at the microscopic level. At the macroscopic level, growth is marked by the change of the tissue shape and mass. In addition, the appearance of the new material particles is generally accompanied by deformation and, consequently, stresses in the surrounding material. Built upon a micro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical biosciences
دوره 121 1 شماره
صفحات -
تاریخ انتشار 1994