NSF Award Abstract - #0083595 | AWSFL008-DS3 |
NSF Org | DMS |
Latest Amendment Date | September 26, 2001 |
Award Number | 0083595 |
Award Instrument | Standard Grant |
Program Manager |
Michael H. Steuerwalt DMS DIVISION OF MATHEMATICAL SCIENCES MPS DIRECT FOR MATHEMATICAL & PHYSICAL SCIEN |
Start Date | September 15, 2000 |
Expires | August 31, 2002 (Estimated) |
Expected Total Amount | $98904 (Estimated) |
Investigator | Reinhard C. Laubenbacher (Principal Investigator current) |
Sponsor |
New Mexico St University Box 30001, MSC 3RES Las Cruces, NM 880038001 505/646-2481 |
NSF Program | 1366 BIOCOMPLEXITY |
Field Application | 0000099 Other Applications NEC |
Program Reference Code | 0000,1264,1266,1267,1608,OTHR, |
Laubenbacher DMS-0083595Abstract: This Biocomplexity incubation activity proposal will study the emergent properties of ecological systems by applying new techniques from algebraic combinatorics, as well as methods from mathematical logic and statistical physics. Based on these methods, we will develop an integrated conceptual framework to analyze global properties arising from the connectivity structure among species and their constraints. Within this framework, the researchers will analyze specific ecosystems, by employing a set of formal mathematical/combinatorial tools.
To accomplish these goals the project includes the following activities: regular meetings of project personnel and visitors to collaborate and create a common knowledge base; a four-day international workshop hall on "The mathematics of network dynamics in biological, social, and economic systems;" and simulation and analysis of specific systems. The results of these simulations will be used to refine our theoretical approach.