NDLI: Steric hindrance effects on surface reactions: applications to BIAcore

Content Provider	Springer Nature Link
Author	Edwards, David A.
Copyright Year	2007
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.
Ending Page	539
Page Count	23
Starting Page	517
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	4
Volume Number	55
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-05-25
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Rate constants Nonlinear initial value problems for linear parabolic equations Integro-differential equations Asymptotics Steric hindrance effects Integro-ordinary differential equations BIAcore Mathematical Biology in General Biomolecular reactions Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) Applications of Mathematics Perturbations Integral representations of solutions Integro-partial differential equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Convection Effects in Thin Reaction Zones: Applications to Biacore

Refining the measurement of rate constants in the BIAcore

Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks

Side conditions for ordinary differential equations

BSDEs with jumps and path-dependent parabolic integro-differential equations

Regularization of linear impulsive boundary-value problems for system of integro-differential equations

Singular perturbations and scaling

Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey

Applications of fractional calculus in solving Abel-type integral equations: Surface-volume reaction problem

Steric hindrance effects on surface reactions: applications to BIAcore

Similar Documents

Convection Effects in Thin Reaction Zones: Applications to Biacore

Refining the measurement of rate constants in the BIAcore

Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks

Side conditions for ordinary differential equations

BSDEs with jumps and path-dependent parabolic integro-differential equations

Regularization of linear impulsive boundary-value problems for system of integro-differential equations

Singular perturbations and scaling

Global Existence in Reaction-Diffusion Systems with Control of Mass: a Survey

Applications of fractional calculus in solving Abel-type integral equations: Surface-volume reaction problem

Steric hindrance effects on surface reactions: applications to BIAcore