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Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
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Preface.

Avner Friedman1, Mirosław Lachowicz, Urszula Ledzewicz

  • 1Mathematical Biosciences Institute and Department of Mathematics, The Ohio State University, Columbus, OH 43210, United States.

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|November 24, 2016
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Summary
This summary is machine-generated.

This volume explores mathematical modeling in life sciences, focusing on cancer, epidemiology, and cell biology. It highlights how systems biology integrates micro and macro levels to understand complex diseases and biological phenomena.

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Area of Science:

  • Systems biology
  • Mathematical modeling in life sciences
  • Interdisciplinary research

Background:

  • Inspired by the "Micro and Macro Systems in Life Sciences" conference.
  • Focuses on understanding micro-level biological systems (molecular, cellular) and their impact on macro-level systems (organs, populations).

Discussion:

  • Covers cancer research with models for tumor angiogenesis, metastasis, drug resistance, and virotherapy.
  • Explores mathematical modeling in epidemiology for diseases like malaria, Ebola, and HPV, using optimal control and optimization.
  • Addresses mathematical challenges in modeling tuberculosis, liver fibrosis, and atherosclerosis, employing partial differential equations and numerical methods.

Key Insights:

  • Integrates dynamical systems, optimal control, and numerical approaches for biological modeling.
  • Investigates cell motion, pattern formation, age-structured mutations, and synthetic genetic oscillators.
  • Applies mathematical tools to understand collective bacterial behavior and challenges in systems biology across multiple levels.

Outlook:

  • Presents state-of-the-art approaches in modeling complex diseases and biological processes.
  • Encourages interdisciplinary research by bridging mathematical methods with biological questions.
  • Highlights the importance of mathematical modeling for future advancements in biosciences and engineering.