Abstract
The genetic algorithm is an optimization routine for finding the solution to a problem that requires a function to be minimized. It accomplishes this by creating a population of solutions and then producing “offspring” solutions from this population by combining two “parental” solutions in much the way that the DNA of biological parents is combined in the DNA of offspring. Strengths of the algorithm include that it is simple to implement, no trial solution is required, and the results are fairly accurate. Weaknesses include its slow computational speed and its tendency to find a local minimum that does not represent the global minimum of the function. By minimizing the elastic, surface, and electric free energies, the genetic algorithm is used to compute the liquid crystal director configuration for a wide range of situations, including one- and two-dimensional problems with various forms of boundary conditions, with and without an applied electric field. When appropriate, comparisons are made with the exact solutions. Ways to increase the performance of the algorithm as well as how to avoid various pitfalls are discussed.
Highlights
Noel Clark’s research into the connection between biology and liquid crystals (LCs) represents some of his most important recent scientific work
DNA duplexes spontaneously stack in solution, forming longer assemblies that form liquid crystal phases, and (2) mixtures with uneven concentrations of complementary oligomers phase separate into a liquid crystal phase formed by paired strands and an isotropic phase formed by unpaired strands [1]
Since the anchoring at the substrates is infinite and there is no applied electric field, FS and FE do not need to be considered. This is the free energy density that is integrated from z = 0 to z = d in the script energyHybridP
Summary
Noel Clark’s research into the connection between biology and liquid crystals (LCs) represents some of his most important recent scientific work. Over a period of a little more than a decade, Noel and his co-workers have discovered the liquid crystal properties and suggested the biological significance of short duplexes of DNA [1,2,3,4,5,6,7,8,9,10,11,12,13]. It all started in 2007 with the discovery that (1) short. This appears to have been the case for the linear rodlike structure of base-paired polynucleotides
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
