Biomaterial Database

A generalized state-vector model for radiation-induced cellular transformation. 1990

D J Crawford-Brown, and W Hofmann

Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill 27516-7400.

A mathematical model is developed, detailing the manner in which radiation brings about the transformation of cells to a state of uncontrolled growth. The model is based on the concepts of initiation and promotion, with the irradiation acting both to damage intracellular structures and to change the state of cells surrounding a damaged (initiated) cell. The complete model requires that the radiation produce two forms of damage within a cell, with at least one of the forms requiring an interaction which is a function of time since irradiation. Some form of contact inhibition must be removed, with this step being a function of the probability that a cell in an initiated state will be surrounded by n dead cells. The cell then must divide, with the probability of moving the cell to the final transformed state being a function of the number of cellular divisions. Prior to irradiation, it is assumed that cells may be characterized by an initial state vector describing the probability that any given cell is in one of the states specified by the model. The resulting model then is used to explain data concerning in vitro irradiation of cells by acute doses of X-rays, alpha particles and neutrons. Limited tests of the theory under conditions of fractionated irradiation are also provided. A controlling factor in such studies is the number of cells already in intermediate states prior to the irradiation.

UI	MeSH Term	Description	Entries
D008433	Mathematics	The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)	Mathematic
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
D009502	Neutrons	Electrically neutral elementary particles found in all atomic nuclei except light hydrogen; the mass is equal to that of the proton and electron combined and they are unstable when isolated from the nucleus, undergoing beta decay. Slow, thermal, epithermal, and fast neutrons refer to the energy levels with which the neutrons are ejected from heavier nuclei during their decay.	Neutron
D011829	Radiation Dosage	The amount of radiation energy that is deposited in a unit mass of material, such as tissues of plants or animal. In RADIOTHERAPY, radiation dosage is expressed in gray units (Gy). In RADIOLOGIC HEALTH, the dosage is expressed by the product of absorbed dose (Gy) and quality factor (a function of linear energy transfer), and is called radiation dose equivalent in sievert units (Sv).	Sievert Units,Dosage, Radiation,Gray Units,Gy Radiation,Sv Radiation Dose Equivalent,Dosages, Radiation,Radiation Dosages,Units, Gray,Units, Sievert
D002471	Cell Transformation, Neoplastic	Cell changes manifested by escape from control mechanisms, increased growth potential, alterations in the cell surface, karyotypic abnormalities, morphological and biochemical deviations from the norm, and other attributes conferring the ability to invade, metastasize, and kill.	Neoplastic Transformation, Cell,Neoplastic Cell Transformation,Transformation, Neoplastic Cell,Tumorigenic Transformation,Cell Neoplastic Transformation,Cell Neoplastic Transformations,Cell Transformations, Neoplastic,Neoplastic Cell Transformations,Neoplastic Transformations, Cell,Transformation, Cell Neoplastic,Transformation, Tumorigenic,Transformations, Cell Neoplastic,Transformations, Neoplastic Cell,Transformations, Tumorigenic,Tumorigenic Transformations
D003260	Contact Inhibition	Arrest of cell locomotion or cell division when two cells come into contact.	Inhibition, Contact,Contact Inhibitions,Inhibitions, Contact
D000512	Alpha Particles	Positively charged particles composed of two protons and two NEUTRONS, i.e. equivalent to HELIUM nuclei, which are emitted during disintegration of heavy ISOTOPES. Alpha rays have very strong ionizing power, but weak penetrability.	Alpha Rays,Alpha Radiation,Radiation, Alpha,Alpha Particle,Alpha Ray,Particle, Alpha,Particles, Alpha,Ray, Alpha,Rays, Alpha