A Statistical Study of Platelet Size Decomposition and Related Growth Model
We study the time-dependent distribution of blood platelet size, and its process of evolution with time, when treated with a mobile ion-carrier chemical A23187 that can penetrate into the cells causing size breakdown. The study helps to understand the role of A23187 as a carrier of drugs into cells, and to investigate signaling pathway in platelets that is of relevance in diagnosing diseases like brain stroke, diabetes, etc. It appears that the size distribution of platelets stabilizes after a time period of 3 h and more. Growth pattern of peak and ebb of the time-dependent platelet size distributions is studied to examine the stability of the process in the long run. A proportionate growth model of size breakdown is proposed.
KeywordsBlood platelet distribution A23187 Proliferation rate Proportionate growth model
MS Subject Classification:62P10 65D10
- Gerrard, J. M., White, J. G., & Rao, G. H. R. (1974). Effects of the Ionophore A23187 on Blood Platelets II. Influence on Ultrastructure. The American Journal of Pathology, 77(2), 151–166.Google Scholar
- Khinchin, A. Ya. (1938). On unimodal distributions. Trams. Research Institute of Mathematics and Mechanics (in Russian). University of Tomsk. 2(2), 1–7.Google Scholar
- Tardi, P., Choice, E., Masin, D., Redelmeier, T., Bally, M., & Madden, T. D. (2000). Liposomal encapsulation of topotecan enhances anticancer efficacy in Murine and Human Xenograft models. Cancer Research, 60(13), 3389–3393.Google Scholar
- White, J. G., Rao, G. H. R., & Gerrard, J. M. (1974). Effects of the ionophore A23187 on blood platelets. I. Influence on aggregation and secretion. The American Journal of Pathology, 77, 135–150.Google Scholar