Biomathematics

Biomathematics is the branch of biology in which the mathematical expressions are used.
Here, we emphasize on mathematical models used in Biological phenomenas.

1. By: Abhishek uppal BIOMATHEMATCS

2. What is Biomathematics? It is the use of mathematical models to help understand phenomena in biology. Term was coined by William Moses feldman. It has been used in areas such as cellular neurobiology, epidemic modeling and population genetics.

3. Population Problems Predator-Prey X= Hare population Y= Lynx population dx/dt= ax– bxy, dy/dt= –cy+pxy,

4. Spread of Disease Hong kong flu Corona virus graph Pre-vaccine flu related pneumonia

5. SIR Model S usceptibles S I nfected I R ecovered R

6. Patterns in Nature Chemicals that react and diffuse in animal coats make visible pattern c(x,t) concentration at time t location x.

7. Embryo Development-genes Young embryos form a body axis early Why? How? Chemicals cause cells to move

8. Models Reproduce experiments n= cell density u= chemical

9. Species interaction Waggle dance performed by honey bee was decoded using Markov model of bee foraging behavior by various mathematicians.

10. Visual System The electrical firing rate of your visual system neurons changes with stimulus angle!

11. Each neuron can be modeled. Ions move across membrane Voltage V changes in time.

12. Ischmic Wound The wounds which occur due to reduced blood flow. Mathematical models of angiogenic networks Were developed by Mcdougall and coworkers in connection with chemotherapeutic strategies

13. Enzyme kinetics Enzyme kinetics is the study of chemical reactions that are catalyzed by enzyme. It provides information about the diverse range of reactions in the human body. Michaelis Menton equation

14. Conclusion There will be more math in biology and medicine in your lifetime. Unlike other science the math models are being discovered right now

15. Thank You!