Steric hindrance effects on surface reactions: applications to BIAcore

Journal of Mathematical Biology
David A Edwards

Abstract

Because surface-volume reactions occur in many biological and industrial processes, understanding the rate of such reactions is important. The BIAcore surface plasmon resonance (SPR) biosensor for measuring rate constants has such a geometry. Though several models of the BIAcore have been presented, few take into account that large ligand molecules can block multiple receptor sites, thus skewing the sensogram data. In this paper some general mathematical principles are stated for handling this phenomenon, and a surface-reaction model is presented explicitly. An integro-partial differential equation results, which can be simplified greatly using perturbation techniques, yielding linear and nonlinear integrodifferential equations. Explicit and asymptotic solutions are constructed for cases motivated by experimental design. The general analysis can provide insight into surface-volume reactions occurring in various contexts. In particular, the steric hindrance effect can be quantified with a single dimensionless parameter.

References

Jan 1, 1990·Annals of Biomedical Engineering·D Basmadjian
Oct 1, 1995·Current Opinion in Structural Biology·A SzaboR Granzow
Feb 1, 1996·Biomaterials·K E DionneF T Gentile
Feb 1, 1996·Quarterly Reviews of Biophysics·P B Garland
Feb 15, 2000·Journal of Mathematical Biology·David A EdwardsD S Cohen
Sep 27, 2000·Proceedings of the National Academy of Sciences of the United States of America·T L HoffmanR W Doms
Mar 30, 2001·Bulletin of Mathematical Biology·David A Edwards
Oct 7, 2003·Proceedings of the National Academy of Sciences of the United States of America·Ermanno GherardiP Jonathan G Butler
Feb 18, 2005·The Journal of Biological Chemistry·Christopher B MarshallPeter L Davies
Jun 24, 2006·Bulletin of Mathematical Biology·David A Edwards

Citations

Oct 28, 2008·Journal of Molecular Recognition : JMR·Rebecca L Rich, David G Myszka
Oct 25, 2016·Mathematical Biosciences and Engineering : MBE·D MackeyR Nooney
Jan 22, 2013·Nanoscale·Jessica MorlierasOlivier Tillement
Jan 20, 2012·International Journal of Dental Hygiene·N YoshidaA Kinoshita

Related Concepts

Biosensing Techniques
Surface Plasmon Resonance

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Systemic Juvenile Idiopathic Arthritis

Systemic juvenile idiopathic arthritis is a rare rheumatic disease that affects children. Symptoms include joint pain, but also fevers and skin rashes. Here is the latest on this disease.

Chromatin Regulation and Circadian Clocks

The circadian clock plays an important role in regulating transcriptional dynamics through changes in chromatin folding and remodelling. Discover the latest research on Chromatin Regulation and Circadian Clocks here.

Central Pontine Myelinolysis

Central Pontine Myelinolysis is a neurologic disorder caused most frequently by rapid correction of hyponatremia and is characterized by demyelination that affects the central portion of the base of the pons. Here is the latest research on this disease.

Myocardial Stunning

Myocardial stunning is a mechanical dysfunction that persists after reperfusion of previously ischemic tissue in the absence of irreversible damage including myocardial necrosis. Here is the latest research.

Pontocerebellar Hypoplasia

Pontocerebellar hypoplasias are a group of neurodegenerative autosomal recessive disorders with prenatal onset, atrophy or hypoplasia of the cerebellum, hypoplasia of the ventral pons, microcephaly, variable neocortical atrophy and severe mental and motor impairments. Here is the latest research on pontocerebellar hypoplasia.

Cell Atlas Along the Gut-Brain Axis

Profiling cells along the gut-brain axis at the single cell level will provide unique information for each cell type, a three-dimensional map of how cell types work together to form tissues, and insights into how changes in the map underlie health and disease of the GI system and its crosstalk with the brain. Disocver the latest research on single cell analysis of the gut-brain axis here.

Chronic Traumatic Encephalopathy

Chronic Traumatic Encephalopathy (CTE) is a progressive degenerative disease that occurs in individuals that suffer repetitive brain trauma. Discover the latest research on traumatic encephalopathy here.