Refereed Publications
For publications listed by topic, please see our research pages. A list of other publications and editorial activities is also available at Santiago Schnell publication page. If you cannot download a particular offprint, please email us at and we will send you a copy.
2007
S. Schnell, S. M. Hanson (2007). A test for measuring the effects of enzyme inactivation. Biophysical Chemistry 125, 269-274. IU Link
J. Srividhya, M. S. Gopinathan, S. Schnell (2007). The effects of time delays in a phosphorylation-dephosphorylation pathway. Biophysical Chemistry 125, 286-297. IU Link
S. Schnell, R. Grima, P. K. Maini (2007). Multiscale modeling in biology. American Scientist 95 134-142. IU Link(invited article)
J. Srividhya, S. Schnell, Crampin, E. J., McSharry, P. E. (2007). Reconstructing biochemical pathways from time course data. Proteomics 7, 828-838. (invited paper) Selected for In this issue IU Link
S. Schnell, S. Fortunato, S. Roy (2007). Is the intrinsic disorder of proteins the cause of the scale-free architecture of protein-protein interaction networks? Proteomics 7, 961-964. (invited paper) IU Link
R. Grima, S. Schnell (2007). A mesoscopic simulation approach for modeling intracellular reactions. Journal of Statistical Physics, in press (DOI:10.1007/s10955-006-9202-z). IU Link (invited paper)
E. H. Flach, S. Schnell, J. Norbury (2007). Limit cycles in the presence of convection, a first order analysis. Journal of Mathematical Chemistry, in press (DOI:10.1007/s10910-006-9182-x). IU Link
E. H. Flach, S. Schnell, J. Norbury (2007). Turing pattern outside of the Turing domain. Applied Mathematics Letters, in press.
2006
S. Schnell, M. J. Chappell, N. D. Evans, M. R. Roussel (2006). The mechanism distinguishability problem in biochemical kinetics: The single-enzyme, single-substrate reaction as a case study. Comptes Rendus Biologies 329, 51-61. IU Link - Facsimile - IU Link
B. Ribba, T. Collin, S. Schnell (2006). A multiscale mathematical model of cancer, and its use in analyzing irradiation therapies. Theoretical Biology and Medical Modelling 3, 7. Open Access
R. E. Baker, S. Schnell, P. K. Maini (2006). A mathematical investigation of a new model for somitogenesis. Journal of Mathematical Biology 52, 458-482 . IU Link
R. E. Baker, S. Schnell, P. K. Maini (2006). A clock and wavefront mechanism for somite formation. Developmental Biology 293, 116-126. IU Link
J. Srividhya, S. Schnell (2006). Why substrate depletion has apparent first-order kinetics in enzymatic digestion. Computational Biology and Chemistry 30, 209-214. IU Link
R. Grima, S. Schnell (2006). How reaction kinetics with time-dependent rate coefficients differs from generalized mass action. ChemPhysChem 7, 1422-1424. IU Link (communication)
E. H. Flach, S. Schnell (2006). On the use and abuse of the Quasi-Steady-State Approximation. IEE Proceedings Systems Biology 153, 187-191. IU Link
S. Roy, S. Schnell, P. Radivojac (2006). Unraveling the nature of the segmentation clock: Intrinsic disorder of clock proteins and their interaction map. Computational Biology and Chemistry 30, 241-248. IU Link
R. Grima, S. Schnell (2006). A systematic investigation of the rate laws valid in intracellular environments. Biophysical Chemistry 124, 1-10. IU Link
2005
R. Grima (2005). Strong-coupling dynamics of a multicellular chemotactic system. Physical Review Letters 95, 128103
2004
S. Schnell, C. Mendoza (2004). The condition for pseudo-first-order kinetics in enzymatic reactions is independent of the initial enzyme concentration. Biophysical Chemistry 107, 165-174. IU Link
D. McInerney, S. Schnell, R. E. Baker, P. K. Maini (2004). A mathematical formulation for the cell cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. Mathematical Medicine and Biology 21, 85-113. IU Link
S. Schnell, T. E. Turner (2004). Reaction kinetics in intracellular environments with macromolecular crowding: simulations and rate laws. Progress in Biophysics and Molecular Biology 85, 235-260. IU Link (invited paper)
R. Hinch, S. Schnell (2004). Mechanism equivalence in enzyme-substrate reactions: Distributed differential delay in enzyme kinetics. Journal of Mathematical Chemistry 35, 253-264. IU Link
E. J. Crampin, S. Schnell, P. E. McSharry (2004). Mathematical and computational techniques to deduce complex biochemical reaction mechanisms. Progress in Biophysics and Molecular Biology 86, 77-112. IU Link
T. E. Turner, S. Schnell, K. Burrage (2004). Stochastic approaches for modelling in vivo reactions. Computational Biology and Chemistry 28, 165-178. IU Link (invited paper)
E. J. Crampin, P. E. McSharry, S. Schnell (2004). Extracting biochemical reaction kinetics from time series data. Lecture Notes in Artificial Intelligence 3214, 329-336. IU Link
2003
S. Schnell, P. K. Maini (2003). A century of enzyme kinetics: Reliability of the KM and vmax estimates. Comments on Theoretical Biology 8, 169-187. IU Link (invited paper)
R. E. Baker, S. Schnell, P. K. Maini (2003). Formation of vertebral precursors: Past Models and Future Predictions. Journal of Theoretical Medicine 5, 23-35. IU Link (invited paper)
2002
S. Schnell, P. K. Maini (2002). Enzyme kinetics far from the Standard Quasi-Steady-State and Equilibrium Approximations. Mathematical and Computer Modelling 35, 137-144. IU Link and IU Erratum
S. Schnell, P. K. Maini, D. McInerney, D. J. Gavaghan, P. Houston (2002). Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology. Comptes Rendus Biologies 325, 179-189. IU Link (invited paper)
2001
S. Schnell, C. Mendoza (2001). A fast method to estimate kinetic constants for enzyme inhibitors. Acta Biotheoretica 49, 109-113. IU Link
2000
S. Schnell, C. Mendoza (2000). A formula for integrating inverse functions. The Mathematical Gazette, 84, 103-104. IU File
S. Schnell, C. Mendoza (2000). Time-dependent closed form solutions for fully competitive enzyme reactions. Bulletin of Mathematical Biology 62, 321-336. IU Link
S. Schnell, P. K. Maini (2000). Clock and induction model for somitogenesis. Developmental Dynamics 217, 415-420. IU File
S. Schnell, P. K. Maini (2000). Enzyme kinetics at high enzyme concentration. Bulletin of Mathematical Biology 62, 483-499. IU File
S. Schnell, K. J. Painter, P. K. Maini, H. G. Othmer (2000). Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis. In: Mathematical models for biological pattern formation, P. K. Maini, H. G. Othmer (editors). Springer-Verlag: New York. IU pdf File or IU ps File
S. Schnell, C. Mendoza (2000). Enzyme kinetics of multiple alternative substrates. Journal of Mathematical Chemistry 27, 155-170. IU File
J. R. Collier, D. McInerney, S. Schnell, P. K. Maini, D. J. Gavaghan, P. Houston, C. D. Stern (2000). A cell cycle model for somitogenesis: mathematical formulation and numerical simulation. Journal of theoretical Biology 207, 305-316. IU Link
1997
S. Schnell, C. Mendoza (1997). Enzymological considerations for a theoretical description of the Quantitative Competitive Polymerase Chain Reaction (QC-PCR). Journal of theoretical Biology 184, 433-440. IU Link
S. Schnell, C. Mendoza.(1997). A closed-form solution for time-dependent enzyme kinetic. Journal of theoretical Biology 187, 207-212. IU Link
S. Schnell, C. Mendoza (1997). Theoretical description for polymerase chain reaction. Journal of theoretical Biology 188, 313-318. IU Link
1994
R. Villegas, C. Castillo, M. E. Póo, S. Schnell, C. Piernavieja, D. Balbi and G. M. Villegas (1994). Expression of sodium channels with different saxitoxin affinity during rat forebrain development. Developmental Brain Research 81, 26-40. IU Link