Diffusion Processes and Related Topics in Biology

I. Preliminaries.- 1. Terminology and Examples.- 2. Markov Processes and the Smolukowski Equation.- 3. Auxiliary Definitions.- II. Diffusion Processes.- 1. Kinetic Equations.- 2. Diffusion Equations.- 3. The Stationary Case.- 4. The Wiener Process.- III. The First Passage Time Problem.- 1. Schrodinger Equation.- 2. Siegert's Method.- 3. Siegert's Moment Relation.- IV. Discrete Models.- 1. Random Walks.- 2. Other Limits of Random Walks.- 3. Extinction and Absorption.- 4. Growth and Extinction in a Random Environment.- 5. Feller's Diffusion Equation.- 6. Diffusion Models for Neuronal Activity.- V. Continuous Models.- 1. Stochastic Differential Equations.- 2. The White Noise.- 3. Special Cases and Examples.- 4. Transformations to the Wiener Process.- 5. Transformations to the Feller Process.- Author Index.