Algorithms

The Diamond laboratory has worked on a variety of numerical problems motivated by reaction-transport processes in cardiovascular biology:

• Moving front systems in eroding biopolymers
• Two-body hydrodynamic collisions
• Heterotypic aggregation-fragmentation processes
• Stochastic kinetics during platelet and neutrophil adhesion
• Stochastic kinetics of blood coagulation

Diamond and Tandon produced the first models to relate the probability of successful two-body collisions of platelets or white blood cells in viscous shear flow to the cellular receptors that hold the aggregates together. Working with Ian Laurenzi, the Lab has developed some of the fastest available Monte Carlo algorithm to solve heteroaggregation problems of thousands of species with time and concentration-dependent reactivities for platelet-neutrophil aggregation.

Publications

D.S. Vaidya, J.M. Nitsche, S.L. Diamond, D.A. Kofke. "Convection-Diffusion of Solutes in Dynamic Media" Adsorption 3, 41 (1996).

D.S. Vaidya, J.M. Nitsche, S.L. Diamond, D.A. Kofke. "Convection-Diffusion of Solutes in Media with Piecewise Constant Transport Properties." Chem. Eng. Sci. 51, 5299 (1996).

S. Anand and S. L. Diamond. "Computer Simulation of Systemic Circulation and Clot Lysis Dynamics During Thrombolytic Therapy That Accounts for Inner Clot Transport and Reaction." Circulation. 94, 763 (1996).

P. Tandon, S. L. Diamond. "Hydrodynamic effects and receptor interactions of platelets and their aggregates in linear shear flow." Biophysical J. 73, 2819 (1997).

P. Tandon, S. L. Diamond. "Kinetics of b2-integrin and L-selectin bonding during neutrophil aggregation in shear flow." Biophysical J. 75, 3163 (1998).

D.S. Vaidya, J.M. Nitsche, S.L. Diamond, D.A. Kofke. "Perturbation Solution to the Convection-Diffusion Equation with Moving Fronts." AICHE J. 43, 631 (1997).

D.S. Vaidya, S.L. Diamond, J.M. Nitsche D.A. Kofke. "Potential for use of liquid crystals as dynamically tunable electrophoretic media." AICHE J. 43, 1366 (1997).

I. Laurenzi, S. L. Diamond. "Monte Carlo solution of heterotypic aggregation kinetics of platelets and neutrophils." Biophysical J. 77, 1733 (1999).

I.J. Laurenzi, S.L. Diamond. Multicomponent Aggregation and Gel Formation via Simultaneous Convection and Diffusion. I.E.C.&R.40: 413 (2002).

I.J. Laurenzi, J.D. Bartels, S.L. Diamond. A general algorithm for exact numerical simulation of multi-component aggregation. J. Comput. Phys.177, 418 (2002).

I.J. Laurenzi, S.L. Diamond. Kinetics of Reversible Aggregation and Gelation with Multiple Components. Phys. Rev. E. 67, 51103 (2003).

T.A. Doggett, G. Girdhar, A. Lawshe, J.L. Miller, I.J. Laurenzi, S.L. Diamond, T.G. Diacovo. Alterations in the intrinsic properties of the GPIbalpha-VWF tether bond define the kinetics of the platelet-type von Willebrand disease mutation, Gly233Val.. Blood 102, 152 (2003).

Lo K, Denney WS, Diamond SL: Stochastic modeling of blood coagulation initiation. Pathophysiol Haemost Thromb 2005, 34:80-90.