𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Emergence of a Subpopulation in a Computational Model of Tumor Growth

✍ Scribed by A.R. KANSAL; S. TORQUATO; E.A. CHIOCCA; T.S. DEISBOECK


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
244 KB
Volume
207
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

✦ Synopsis


Malignant brain tumors consist of a number of distinct subclonal populations. Each of these subpopulations may be characterized by its own behaviors and properties. These subpopulations arise from the constant genetic and epigenetic alteration of existing cells in the rapidly growing tumor. However, since each single-cell mutation only leads to a small number of o!spring initially, very few newly arisen subpopulations survive more than a short time. The present work quanti"es &&emergence'', i.e. the likelihood of an isolated subpopulation surviving for an extended period of time. Only competition between clones is considered; there are no cooperative e!ects included. The probability that a subpopulation emerges under these conditions is found to be a sigmoidal function of the degree of change in cell division rates. This function has a non-zero value for mutations which confer no advantage in growth rate, which represents the emergence of a distinct subpopulation with an advantage that has yet to be selected for, such as hypoxia tolerance or treatment resistance. A logarithmic dependence on the size of the mutated population is also observed. A signi"cant probability of emergence is observed for subpopulations with any growth advantage that comprise even 0.1% of the proliferative cells in a tumor. The impact of even two clonal populations within a tumor is shown to be su$cient such that a prognosis based on the assumption of a monoclonal tumor can be markedly inaccurate.


πŸ“œ SIMILAR VOLUMES


Emergence of a subpopulation of lymphocy
✍ Robert S. Epstein; Diana M. Lopez; Gabriel Ortiz-Muniz; M. Michael Sigel πŸ“‚ Article πŸ“… 1976 πŸ› John Wiley and Sons 🌐 French βš– 352 KB

## Abstract Spleens from BALB/c mice transplanted with mammary tumors display a significant increase in the percentage of lymphocytes bearing complement receptors (CRL) while the percentage of cells bearing surface immunoglobulins (SIg) remains unchanged in comparison with that in spleens from norm

Analysis of a delayed mathematical model
✍ Shihe Xu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 295 KB

In this paper, a delayed mathematical model of a nonlinear reaction-diffusion equations modeling the growth of tumors is studied. The establishment of the model is based on the diffusion of nutrient and mass conservation for the two-process proliferation and apoptosis (cell death due to aging). It i

A computational model of belief
✍ Aaron N. Kaplan; Lenhart K. Schubert πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 322 KB

We propose a logic of belief in which the expansion of beliefs beyond what has been explicitly learned is modeled as a finite computational process. The logic does not impose a particular computational mechanism; rather, the mechanism is a parameter of the logic, and we show that as long as the mech