The exhaustive list of topics in Biomathematics in which we provide Help with Homework Assignment and Help with Project is as follows:
- Functions:
- Functions using examples from Biology
- Velocity of molecular motors as a function of ATP concentration.
- Derivative of a function,Techniques of differentiation:
- Concentration gradient
- Pressure
- Entropy etc as derivatives of free energy
- Minimum of free energy
- Plotting Gaussian
- Exponential function etc using examples from biology
- Energy landscape
- Integration as calculation of area under the curve.
- 3-dimensional configuration of proteins
- Structure of nucleosomes
- 3D structure of chromatin
- Rate equations (eg. Actin polymerization)
- Diffusion
- Fourier transformation in X-ray crystallography and in optics
- Examples from neurobiology
- Stochastic processes in biology (Eg. bacterial motion)
- Application in statistical thermodynamics
- Length distribution of microtubules with dynamics instability.
- Finding average length and standard deviation of the filament lengths
- DNA loop formation probability.
- End-to-end distance distribution of proteins/DNA/RNA
- Run and tumble motion of bacteria.
- Modeling gene expression
- Polymerization of actin/microtubules.
- Finding maxima, minima, Plotting functions
- Integrals, Techniques of Integration
- Scalars and vectors. Spherical polar coordinates and cylindrical coordinates
- Ordinary differential equations, Partial differential equations, Solving differential equations
- Fourier series, Fourier transformation
- Probability
- Probability distributions, Average, variance, standard deviation
- Binomial distribution , Gaussian distribution , Poisson distribution
- Master equations