# LATEST RESEARCH NEWS ON MATHEMATICAL MODEL: FEB – 2020

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## LATEST RESEARCH NEWS ON MATHEMATICAL MODEL: FEB – 2020

#### The coordination of arm movements: an experimentally confirmed mathematical model

This paper presents studies of the coordination of voluntary human arm movements. A mathematical model is formulated which is shown to predict both the qualitative features and the quantitative details observed experimentally in planar, multijoint arm movements. Coordination is modeled mathematically by defining an objective function, a measure of performance for any possible movement. [1]

#### A Mathematical Model Illustrating the Theory of Turbulence

This chapter discusses that the application of methods of statistical analysis and statistical mechanics to the problem of turbulent fluid motion has attracted much attention in recent years. It investigated a complicated system of nonlinear equations, in order to find out enough about the properties of the solutions of these equations that insight can be obtained into the various patterns exhibited by the field and that data can be derived concerning the relative frequencies of these patterns in the hope that in this way a basis may be found for the calculation of important values. [2]

#### Mathematical model for studying genetic variation in terms of restriction endonucleases

A mathematical model for the evolutionary change of restriction sites in mitochondrial DNA is developed. Formulas based on this model are presented for estimating the number of nucleotide substitutions between two populations or species. To express the degree of polymorphism in a population at the nucleotide level, a measure called “nucleotide diversity” is proposed. [3]

#### A Mathematical Model  for Mycolactone Toxin Reaction and Diffusion in Cell Cytoplasm

The study of mechanisms and transport of proteins inside cells provide understanding of the dynamics of biological systems and give clues to biological effect of drugs on our system. Reaction-diffusion mechanisms inside cells control various cell functions from adhesion, haptotaxis, chemotaxis to cytoskeletal rearrangement. [4]

A Mathematical Model  for Population Density Dynamics of Weed-Crop Competition

A model for the dynamics of homogeneous population competition between two species of weeds and a crop is formulated to gain in-sight into the behaviour of crop growing with weeds. [5]

Reference

[1 ] Flash, T. and Hogan, N., 1985. The coordination of arm movements: an experimentally confirmed mathematical model. Journal of neuroscience5(7), pp.1688-1703.

[2]  Burgers, J.M., 1948. A mathematical model illustrating the theory of turbulence. In Advances in applied mechanics (Vol. 1, pp. 171-199). Elsevier.

[3]  Nei, M. and Li, W.H., 1979. Mathematical model for studying genetic variation in terms of restriction endonucleases. Proceedings of the National Academy of Sciences76(10), pp.5269-5273.

[4]  Nyarko, P., Dontwi, I. and Frempong, N. (2018) “A Mathematical Model for Mycolactone Toxin Reaction and Diffusion in Cell Cytoplasm”, Journal of Advances in Mathematics and Computer Science, 27(5), pp. 1-11. doi: 10.9734/JAMCS/2018/41382.

[5]  Nasir, M. O., Akinwande, N. I., Kolo, M. G., Mohammed, J. and Abbah, R. (2015) “A Mathematical Model for Population Density Dynamics of Weed-Crop Competition”, Journal of Advances in Mathematics and Computer Science, 8(3), pp. 246-264. doi: 10.9734/BJMCS/2015/15975.