This is a fascinating commentary that highlights two manuscripts that use differetnial equation bifuracations to characterize cellular systems to gain new insights and understand of how intial state parameter variation can impact system performance. The two referenced paper use 2nd order, non-linear, homogenous equations to model glucose and membrane response in pancreatic cells. The commentary referenced and cited below provides a good summary for non-mathematical health professionals:
"...the examples show some of the successes of bifurcation theory and dynamical systems approaches more generally in solving biological puzzles. They provide insights that are not possible from a biophysical or simulation approach." - Arthur Sherman, Mathematical Research Branch, National Institute of Diabetes and Digestive and Kidney Diseases
URL: http://jgp.rupress.org/content/138/1/13
No comments:
Post a Comment