Biomaterial Database

A mathematical model for metastatic growth illustrated by in vivo and in vitro growth of a transplantable mammary carcinoma in mice. 1986

P Fuchshuber, and M Günther, and W Feaux De Lacroix, and R Fischer

We analysed the growth pattern of metastases in C3H-mice produced by i.v. injection (tail vein) of tumor cell suspensions of mammary carcinoma HB. Although the ordinary Gompertz equation generally corresponds well to tumor growth in animals and men, we found it inadequate to describe the growth of lung metastases in our model. The morphometric analysis and growth kinetics (LI/GF) of the metastases show a biphasic pattern. The first phase is characterized by a strictly avascular growth and nutrition by diffusion, the second phase is initiated by tumor angiogenesis. To analyze these observations we developed a new mathematical equation which fits particularly well to the metastatic growth curve. We conclude that the present model is appropriate for the analysis of tumor angiogenesis, especially to study factors, which influence the development of a tumor specific vascular system.

UI	MeSH Term	Description	Entries
D008214	Lymphocytes	White blood cells formed in the body's lymphoid tissue. The nucleus is round or ovoid with coarse, irregularly clumped chromatin while the cytoplasm is typically pale blue with azurophilic (if any) granules. Most lymphocytes can be classified as either T or B (with subpopulations of each), or NATURAL KILLER CELLS.	Lymphoid Cells,Cell, Lymphoid,Cells, Lymphoid,Lymphocyte,Lymphoid Cell
D008325	Mammary Neoplasms, Experimental	Experimentally induced mammary neoplasms in animals to provide a model for studying human BREAST NEOPLASMS.	Experimental Mammary Neoplasms,Neoplasms, Experimental Mammary,Experimental Mammary Neoplasm,Mammary Neoplasm, Experimental,Neoplasm, Experimental Mammary
D008433	Mathematics	The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)	Mathematic
D008809	Mice, Inbred C3H	An inbred strain of mouse that is used as a general purpose strain in a wide variety of RESEARCH areas including CANCER; INFECTIOUS DISEASES; sensorineural, and cardiovascular biology research.	Mice, C3H,Mouse, C3H,Mouse, Inbred C3H,C3H Mice,C3H Mice, Inbred,C3H Mouse,C3H Mouse, Inbred,Inbred C3H Mice,Inbred C3H Mouse
D008954	Models, Biological	Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.	Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009362	Neoplasm Metastasis	The transfer of a neoplasm from one organ or part of the body to another remote from the primary site.	Metastase,Metastasis,Metastases, Neoplasm,Metastasis, Neoplasm,Neoplasm Metastases,Metastases
D009368	Neoplasm Transplantation	Experimental transplantation of neoplasms in laboratory animals for research purposes.	Transplantation, Neoplasm,Neoplasm Transplantations,Transplantations, Neoplasm
D009389	Neovascularization, Pathologic	A pathologic process consisting of the proliferation of blood vessels in abnormal tissues or in abnormal positions.	Angiogenesis, Pathologic,Angiogenesis, Pathological,Neovascularization, Pathological,Pathologic Angiogenesis,Pathologic Neovascularization,Pathological Angiogenesis,Pathological Neovascularization
D005260	Female		Females
D006644	Histiocytes	Macrophages found in the TISSUES, as opposed to those found in the blood (MONOCYTES) or serous cavities (SEROUS MEMBRANE).	Histiocyte