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...The waterloo mathematics review abiological application of calculus variations irena papst mcmaster university papsti ca abstract in this paper we introduce and derive general euler lagrange equations for functionals that depend on functions one variable although has traditionally been applied to problems mechanics apply variational approach a problem biology by means minimal surfaces idea using space curves model protein structure lastly analyze free energy associated with these deriving two dependent curvature introduction came about long before method rst can be traced back isoperimetric tackled greeks such is queen dido who desired given length oxhide strips enclose maximum area as many other was solved geometric methods reasoning however some form passage light from medium another resolved fermat simplest terms compared dimensional standard study function y f x r suppose class c meaning continuous dierentiable its domain which take seek local global extrema potentially occur at xi...