Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space

Don Kulasiri holds a chaired professorship in Computational modelling and systems biology at Lincoln University, New Zealand, during the last 25 years, and he has been an academic over 33 years. He obtained his B.Sc. (Honours) in mechanical engineering at University of Peradeniya, Sri Lanka, in 1980, and M.S. and Ph.D. at Biological Systems Engineering department, Virginia Tech, USA, in 1988 and 1990, respectively. He has been a visiting professor or a visiting scholar to Princeton University(2004, 2006), Stanford University(1998), USA, and Oxford University(since 2008), UK. His research has been ranked A (world class) by the New Zealand government panels for the last 21 years, and he has graduated over 58 Ph.D. and 15 master’s students and authored more than 200 publications including 6 research monographs, 1 edited book and 1 edited proceeding. He founded (1999) and directs the Centre for Advanced Computational Solutions (C-fACS) at Lincoln University.

• Chapter 1. Introduction to Chemical transformations in far from equilibrium systems.- Chapter 2. A brief introduction to vectors spaces: succinct but pertinent summary for scientists.- Chapter 3. White noise probability spaces (Hermite polynomials and functions and their use in defining Weiner Chaos expansion).- Chapter 4. Introduction to Skorohod integration and Malliavian derivatives—practical interpretations.- Chapter 5. Introduction to Wick Product and its algebra (analytical solutions to Wick product driven stochastic differential equations; Hermite transformations).- Chapter 6. Numerical solutions to stochastic chemical reactions.- Chapter 7. Stochastic coupled reactions systems: Numerical solutions.- Chapter 8. Modelling chiral symmetry breaking and stability in a noisy environment using Wick products—A case study.