%0 Journal Article %1 Kareva2014319 %A Kareva, I. %A Morin, B. %A Castillo-Chavez, C. %D 2014 %I Springer New York LLC %J Bulletin of Mathematical Biology %K Animals; Biodiversity; Biological; Biology Concepts; Conservation Host-Parasite Humans; Interactions; Mathematical Models, Natural Neoplasms; Resources; Systems animal; biodiversity; biological biology, environmental host human; interaction; mathematical model; of parasite phenomena; procedures; protection; systems %N 2 %P 319-338 %R http://dx.doi.org/10.1007/s11538-014-9983-1 %T Resource Consumption, Sustainability, and Cancer %U http://dx.doi.org/10.1007/s11538-014-9983-1 %V 77 %X Preserving a system’s viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or facilitating the survival and success of ordinarily rare phenotypes. The latter may result in over-representation of individuals who may participate in resource utilization patterns that can lead to over-exploitation, exhaustion, and, ultimately, collapse of both the resource and the population that depends on it. Here, we aim to identify regimes that can signal whether a consumer–resource system is capable of supporting viable degrees of heterogeneity. The framework used here is an expansion of a previously introduced consumer–resource type system of a population of individuals classified by their resource consumption. Application of the Reduction Theorem to the system enables us to evaluate the health of the system through tracking both the mean value of the parameter of resource (over)consumption, and the population variance, as both change over time. The article concludes with a discussion that highlights applicability of the proposed system to investigation of systems that are affected by particularly devastating overly adapted populations, namely cancerous cells. Potential intervention approaches for system management are discussed in the context of cancer therapies. Â\copyright 2014, Society for Mathematical Biology.

@article{Kareva2014319, abstract = {Preserving a system{\^a}€™s viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or facilitating the survival and success of ordinarily rare phenotypes. The latter may result in over-representation of individuals who may participate in resource utilization patterns that can lead to over-exploitation, exhaustion, and, ultimately, collapse of both the resource and the population that depends on it. Here, we aim to identify regimes that can signal whether a consumer{\^a}€“resource system is capable of supporting viable degrees of heterogeneity. The framework used here is an expansion of a previously introduced consumer{\^a}€“resource type system of a population of individuals classified by their resource consumption. Application of the Reduction Theorem to the system enables us to evaluate the health of the system through tracking both the mean value of the parameter of resource (over)consumption, and the population variance, as both change over time. The article concludes with a discussion that highlights applicability of the proposed system to investigation of systems that are affected by particularly devastating overly adapted populations, namely cancerous cells. Potential intervention approaches for system management are discussed in the context of cancer therapies. {\^A}{\copyright} 2014, Society for Mathematical Biology.}, added-at = {2017-11-10T22:48:29.000+0100}, affiliation = {Mathematical, Computational Modeling Sciences Center, Arizona State University, PO Box 871904, Tempe, AZ, United States; Newman-Lakka Institute for Personalized Cancer Care, Floating Hospital for Children, Tufts Medical Center, 75 Kneeland St., Boston, MA, United States; Global Institute of Sustainability, Arizona State University, Tempe, AZ, United States; School of Human Evolution and Social Changes, Arizona State University, Tempe, AZ, United States}, author = {Kareva, I. and Morin, B. and Castillo-Chavez, C.}, author_keywords = {Cancer; Evolution of resistance; Heterogeneity; Host-parasite; Resource-consumer; Sustainability}, biburl = {https://www.bibsonomy.org/bibtex/2cfa7cabda19d859c05e7ebfaae17366e/ccchavez}, coden = {BMTBA}, correspondence_address1 = {Kareva, I.; Mathematical, Computational Modeling Sciences Center, Arizona State University, PO Box 871904, United States}, date-added = {2017-11-10 21:45:26 +0000}, date-modified = {2017-11-10 21:45:26 +0000}, document_type = {Article}, doi = {http://dx.doi.org/10.1007/s11538-014-9983-1}, interhash = {3ca8e2b58cd373b6e88261111874c8e2}, intrahash = {cfa7cabda19d859c05e7ebfaae17366e}, issn = {00928240}, journal = {Bulletin of Mathematical Biology}, keywords = {Animals; Biodiversity; Biological; Biology Concepts; Conservation Host-Parasite Humans; Interactions; Mathematical Models, Natural Neoplasms; Resources; Systems animal; biodiversity; biological biology, environmental host human; interaction; mathematical model; of parasite phenomena; procedures; protection; systems}, language = {English}, number = 2, pages = {319-338}, publisher = {Springer New York LLC}, pubmed_id = {25033780}, timestamp = {2017-11-10T22:48:29.000+0100}, title = {Resource Consumption, Sustainability, and Cancer}, url = {http://dx.doi.org/10.1007/s11538-014-9983-1}, volume = 77, year = 2014 }