ArticleJournal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism2012
A nonlinear dynamical theory of cell injury.
Article in Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Quantitative systems toxicology: modelling to mechanistically understand and predict drug safety.Nature reviews. Drug discovery · 2026Review
- Abstraction and Idealization in Biomedicine: The Nonautonomous Theory of Acute Cell Injury.Brain sciences · 2018Article
- Inductive and Deductive Approaches to Acute Cell Injury.International scholarly research notices · 2014Review
- Modeling molecular pathways of neuronal ischemia.Progress in molecular biology and translational science · 2014Review
- Protein misfolding and organelle stress after brain ischemia.Translational stroke research · 2013Article
- Lysosomal membrane permeabilization as a key player in brain ischemic cell death: a "lysosomocentric" hypothesis for ischemic brain damage.Translational stroke research · 2013Review
- mRNA redistribution during permanent focal cerebral ischemia.Translational stroke research · 2013Article
- A program for solving the brain ischemia problem.Brain sciences · 2013Article
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Authors and funding
3 authors.
Funding
Abstract
Multifactorial injuries, such as ischemia, trauma, etc., have proven stubbornly elusive to clinical therapeutics, in spite of the binary outcome of recovery or death. This may be due, in part, to the lack of formal approaches to cell injury. We present a minimal system of nonlinear ordinary differential equations describing a theory of cell injury dynamics. A mutual antagonism between injury-driven total damage and total induced stress responses gives rise to attractors representing recovery or death. Solving across a range of injury magnitudes defines an 'injury course' containing a well-defined tipping point between recovery and death. Via the model, therapeutics is the diverting of a system on a pro-death trajectory to a pro-survival trajectory on bistable phase planes. The model plausibly explains why laboratory-based therapies have tended to fail clinically. A survival outcome is easy to achieve when lethal injury is close to the tipping point, but becomes progressively difficult as injury magnitudes increase, and there is an upper limit to salvageable injuries. The model offers novel insights into cell injury that may assist in overcoming barriers that have prevented development of clinically effective therapies for multifactorial conditions, as exemplified by brain ischemia.
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