Tumor micro-ecology and competitive interactions

Journal of Theoretical Biology
S MichelsonJ T Leith

Abstract

Three nested models describing the growth of individual subpopulations in a heterogeneous environment are described. The models represent the dynamics of two populations which compete, to varying degrees, for common resources. The first model describes growth in a totally non-competitive micro-environment, the second model describes an ecology in which competition is proportional to competitor population size, and the third model ecology extends the model described by Jansson & Revesz (1974), which allows one population to emerge from the other. The critical points for each model are defined using the isoclines derived from the Ordinary Differential Equations (ODE's) describing competitive growth. The critical points for each model are characterized by the signs of the eigenvalues of the variational matrix at each point. The theoretical results of the analysis show that a competitive model ecology with Verhulstian logistics allows four critical points: the origin which is a repeller, two competitive exclusion points, and an equilibrium state (Waltman, 1983). The extended model ecology of Jansson & Revesz (1974), allows three critical points: the origin which is a repeller, competitive exclusion of the first population, and an e...Continue Reading

References

Jan 1, 1986·International Journal of Radiation Oncology, Biology, Physics·C M Arundel, J T Leith
Jul 1, 1980·Cell and Tissue Kinetics·G G Steel
Jul 1, 1980·Cell and Tissue Kinetics·G F Brunton, T E Wheldon

❮ Previous
Next ❯

Citations

Jul 1, 1990·Cancer Metastasis Reviews·F R Miller, G H Heppner
Jan 1, 1988·Bulletin of Mathematical Biology·I GyoriJ Leith
Sep 1, 1993·Bulletin of Mathematical Biology·S Michelson, J T Leith
Mar 13, 2010·Bulletin of Mathematical Biology·Raluca EftimieDavid J D Earn
Jan 1, 1991·Bulletin of Mathematical Biology·S Michelson, J Leith
Jan 1, 1989·Bulletin of Mathematical Biology·S MichelsonJ T Leith
Jul 20, 2012·Briefings in Functional Genomics·Tammy M K ChengPaul A Bates
Feb 12, 2013·Evolutionary Applications·Khalid O AlfaroukJoel S Brown
Nov 18, 2000·Journal of Theoretical Biology·A R KansalT S Deisboeck
Jul 22, 1996·Proceedings. Biological Sciences·R E Michod
Jul 15, 2015·Nature Reviews. Cancer·Doris P Tabassum, Kornelia Polyak
Jun 4, 2019·Frontiers in Bioengineering and Biotechnology·Mohamed Amine BenchaibAbdelkader Makhoute
Oct 1, 2004·The British Journal of Radiology·N RaghunandR J Gillies
Dec 24, 1997·Mathematical Biosciences·J C Panetta

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Hereditary Sensory Autonomic Neuropathy

Hereditary Sensory Autonomic Neuropathies are a group of inherited neurodegenerative disorders characterized clinically by loss of sensation and autonomic dysfunction. Here is the latest research on these neuropathies.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Landau-Kleffner Syndrome

Landau Kleffner syndrome (LKS), also called infantile acquired aphasia, acquired epileptic aphasia, or aphasia with convulsive disorder, is a rare childhood neurological syndrome characterized by the sudden or gradual development of aphasia (the inability to understand or express language) and an abnormal electroencephalogram. Discover the latest research on LKS here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Regulation of Vocal-Motor Plasticity

Dopaminergic projections to the basal ganglia and nucleus accumbens shape the learning and plasticity of motivated behaviors across species including the regulation of vocal-motor plasticity and performance in songbirds. Discover the latest research on the regulation of vocal-motor plasticity here.