Mathematical Modeling of the Optimal Light Wavelength for Increasing Biomass and Cell Size of Chlorella vulgaris as a Basis for Enhancing Biofuel Production | Illinois Mathematics and Science Academy

Mathematical Modeling of the Optimal Light Wavelength for Increasing Biomass and Cell Size of Chlorella vulgaris as a Basis for Enhancing Biofuel Production

Sidharth Brahmandam

Grade 9, Poster Presenter


The pressing need for eco-friendly fuel sources due to limited fossil fuels and rising population has brought attention to microalgae including Chlorella vulgaris (C. vulgaris) as a sustainable biofuel. Yet, high production costs hinder their commercial viability, which can be addressed by optimized lighting.

However, a gap exists concerning the optimal wavelength of light to enhance biomass growth and cell size in C. vulgaris. This experiment investigated the impact of varying light wavelengths (400-650 nm) on biomass growth and cell size to develop a predictive mathematical model aimed at increasing productivity of commercial units. Separate containers were established for four groups that were each exposed to different light wavelengths: blue (400-490 nm), green (510-530 nm), red (630-650 nm), and control (no light), and a12hr:12 hr light-dark cycle was used. Biomass concentration was measured using a spectrophotometer over 10 days and the data for each condition was regression fitted to a logistic growth curve. Cell size was measured on the last day using a light microscope.C. vulgaris exposed to blue light (400-490 nm) had the largest positive change in biomass, followed by red (630-650 nm) and green (510-530 nm). C. vulgaris exposed to red light had significantly smaller cell sizes, while other groups had comparably larger cell sizes. The derived mathematical model can be extrapolated to large-scale plants. Overall, the null hypothesis can be rejected, as One Way ANOVA p < 0.001. This has implications for reducing the cultivating and harvesting costs of C. vulgaris.

Mentors:
  • Mrs. Allison Hennings – IMSA/RISE Instructor
  • Dr. Srikanth Ammu (Ph.D.) – STERIS
  • Dr. Sri Sankar Chinta (Ph.D.) – Medical College of Wisconsin
  • Dr. Jun Du Wahl (Ph.D.) – Clipper Corporation
  • Mr. Drew Mitchell – Wahl Clipper Corporation
  • Mrs. Elizabeth Bruker – Naperville North H.S.