Agent-Based Models and Optimal Control in Biology: A Discrete Approach

Abstract

This chapter describes an approach to the optimal control of complex biological systems. Such systems can often be modeled effectively through agent-based computational models. To apply rigorous mathematical methods to synthesize optimal control strategies one approach is to approximate the agent-based model through a mathematical model for which analytic methods are available. One such framework is that of time-discrete, state-discrete dynamical systems, which can be described as polynomial dynamical systems over a finite field. The chapter presents algorithms, examples, and associated software for these tasks.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2012
Accession Number
ADA583690

Entities

People

  • Franziska Hinkelmann
  • Matt Oremland
  • Reinhard Laubenbacher

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Energy and Power Technologies
  • Engineered Resilient Systems

DTIC Thesaurus Topics

  • Agent-Based Simulations
  • Algorithms
  • Cells
  • Complex Systems
  • Computational Complexity
  • Computational Science
  • Computer Programs
  • Computer Simulations
  • Computers
  • Differential Equations
  • Equations
  • Genetic Algorithms
  • Health Services
  • Immune System
  • Mathematical Analysis
  • Mathematical Models
  • Systems Biology

Fields of Study

  • Biology
  • Mathematics

Readers

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