In this book, we continue to discuss how to blend mathematics, computational tools and science into a cohesive point of view. Hence, this text is a follow up to our book on mathematics for biologists, Calculus for Biologists. We now add new mathematics such as the ideas of partial differentiation and approximation of functions of more than one variable and a more complete study of nonlinear differential equation models using these new tools. We also discuss more fully how to develop code with MatLab/ Octave to solve our problems numerically. We study a model of the excitable neuron which leads to the cable equation which is a standard equation in biological information processing. We use the cable equation to develop an input side model of an excitable neuron -- the dendrite -- and then build a model of the excitable neuron itself. This consists of a dendrite, a cell body or soma and the axon along which generates the action potential.
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