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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