New mathematics of fractional diffusion for understanding cognitive impairment at the neuronal level

随着澳大利亚人口的老龄化，由皮层老化和神经退化引起的认知障碍正在成为这个国家最大的健康问题。该项目将提供新的、更现实的数学模型，用于在神经元水平上对认知障碍的机制理解。这种理解是靶向药物至关重要的第一步，例如，影响神经元脊柱特性，用于预防性保健。该项目将保持悉尼新南威尔士大学的应用数学家与纽约西奈山医学院的生物数学家和神经科学家之间的国际合作，为澳大利亚科学家在这一前沿生物数学研究方面提供持续的培训机会。

As Australia's population ages, cognitive impairment due to cortical ageing and neurodegeneration is looming as the nation's greatest health problem. The project will deliver new, more realistic, mathematical models for a mechanistic understanding of cognitive impairment at the neuronal level. This understanding is a vital first step in targeting drugs, e.g., to influence neuronal spine properties, for preventative health care. The project will maintain international collaborations, between applied mathematicians at UNSW, Sydney and biomathematicians and neuroscientists at Mount Sinai School of Medicine, New York, providing ongoing training opportunities for Australian scientists in this cutting edge biomathematical research.