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Neurodegenerative diseases are characterized by the buildup of key toxic proteins. For instance, Alzheimer’s disease, impacting over 50 million people worldwide, is associated with amyloid beta and tau proteins. The spatial and temporal evolution of these proteins and their association with cognitive decline suggest the existence of underlying principles that might be modeled mathematically. Fundamentally, the spread of these diseases is characterized by the transport, expansion, and saturation of toxic proteins in the brain. We show that a simple model that includes all these aspects and reproduces the basic invasion patterns is a network-based model. This reductionist model effectively approximates the full dynamics. This chapter is conceived as a gentle step-by-step introduction to these ideas and models.

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An introduction to network models of neurodegenerative diseases

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2026年

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  • Georgia S. Brennan,
  • Alain Goriely

摘要

Neurodegenerative diseases are characterized by the buildup of key toxic proteins. For instance, Alzheimer’s disease, impacting over 50 million people worldwide, is associated with amyloid beta and tau proteins. The spatial and temporal evolution of these proteins and their association with cognitive decline suggest the existence of underlying principles that might be modeled mathematically. Fundamentally, the spread of these diseases is characterized by the transport, expansion, and saturation of toxic proteins in the brain. We show that a simple model that includes all these aspects and reproduces the basic invasion patterns is a network-based model. This reductionist model effectively approximates the full dynamics. This chapter is conceived as a gentle step-by-step introduction to these ideas and models.