##### Latest Research News on Mathematical Model Research: Sep – 2019

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

A mathematical model for the biological process modification of restriction sites in mitochondrial desoxyribonucleic acid is developed. Formulas supported this model area unit given for estimating the amount of ester substitutions between 2 populations or species. to specific the degree of polymorphism in a very population at the ester level, a live referred to as “nucleotide diversity” is projected. **[1]**

**A new mathematical model for relative quantification in real-time RT–PCR**

Use of the time period enzyme chain reaction (PCR) to amplify complementary DNA product reverse transcribed from messenger RNA is on the thanks to changing into a routine tool in biology to check low abundance organic phenomenon. time period PCR is simple to perform, provides the mandatory accuracy and produces reliable in addition as speedy quantification results. however correct quantification of nucleic acids needs a consistent methodology ANd an adequate mathematical model for knowledge analysis. This study enters into the actual topics of the relative quantification in time period RT–PCR of a target cistron transcript compared to a reference gene transcript. Therefore, a replacement mathematical model is given. The relative expression magnitude relation is calculated solely from the time period PCR efficiencies and therefore the crossing purpose deviation of AN unknown sample versus an impression. **[2]**

**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 developed that is shown to predict each the qualitative options and therefore the quantitative details ascertained through an experiment in coplanar, multijoint arm movements. Coordination is sculpturesque mathematically by process associate objective perform, a live of performance for any potential movement. The distinctive flight that yields the most effective performance is set victimization dynamic improvement theory. within the work bestowed here, the target perform is that the sq. of the magnitude of jerk (rate of modification of acceleration) of the hand integrated over the whole movement. this is often admire forward that a serious goal of motor coordination is that the production of the smoothest potential movement of the hand. Experimental observations of human subjects performing arts voluntary free movements in an exceedingly horizontal plane square measure bestowed. **[3]**

**An Invertible Mathematical Model of Cortical Bone’s Adaptation to Mechanical Loading**

Determination of mechanical loading program that may induce a prescribed new bone formation rate and its site-specific distribution, could also be fascinating to treat some orthopedic conditions like bone loss thanks to muscle decline, e.g. thanks to area flight, bed-rest, osteopenia etc. Site-specific new bone formation has been determined earlier by experimentation and numerically for a given loading regimen; but these models are principally non-invertible, which implies that they can’t be simply inverted to predict loading parameters for a desired new bone formation. this work proposes associate invertible model of bone transforming, which might predict loading parameters like peak strain, or magnitude and direction of periodic forces for a desired or prescribed site-specific mineral apposition rate (MAR), and the other way around.** [4]**

**A Mathematical Model for Estimating the Ideal Number of Outsource Academic Staff for Private Universities in Nigeria**

We developed a model for crucial the best range of outsourcing educational workers in in private owned universities in Nigeria. the strategy takes National Universities Commission (NUC) guideline on workers regulation into thought. The calculable ideal range of outsourcing educational workers can complement the accessible educational workers thus on meet the staff-mix by rank quantitative relation stipulated by the NUC.** [5]**

**Reference**

**[1]** Nei, M. and Li, W.H., 1979. Mathematical model for studying genetic variation in terms of restriction endonucleases. Proceedings of the National Academy of Sciences, 76(10), (Web Link)

**[2]** Pfaffl, M.W., 2001. A new mathematical model for relative quantification in real-time RT–PCR. Nucleic acids research, 29(9), (Web Link)

**[3]** Flash, T. and Hogan, N., 1985. The coordination of arm movements: an experimentally confirmed mathematical model. Journal of neuroscience, 5(7), (Web Link)

**[4]** An Invertible Mathematical Model of Cortical Bone’s Adaptation to Mechanical Loading

Jitendra Prasad & Ajay Goyal

Scientific Reportsvolume 9, Article number: 5890 (2019) (Web Link)

**[5]** Enagbonma, O. and Osagiede, A. A. (2018) “A Mathematical Model for Estimating the Ideal Number of Outsource Academic Staff for Private Universities in Nigeria”, Journal of Advances in Mathematics and Computer Science, 26(4), (Web Link)