SIAM J. on Applied Mathematics

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Print: 0036-1399
Electronic: 1095-712X
Coden: SMJMAP

The SIAM Journal on Applied Mathematics is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.

The SIAM Journal on Applied Mathematics is the founding journal of the Society for Industrial and Applied Mathematics. The first volume of the journal appeared in 1953 and the foundations and evolution of applied mathematics can be found within its pages.

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Controlled Drug Delivery in Cancer Immunotherapy: Stability, Optimization, and Monte Carlo Analysis

A discussion on controlled drug delivery in cancer immunotherapy is presented in this paper. A fifth-order model is adopted to describe the dynamics of the tumor–immune interaction. Natural equilibrium points of this system are sought, and their stability is analyzed. An optimal control problem is stated and solved numerically. Both continuous and discrete controls are treated, and their implications on the therapy protocol are discussed. The robustness of the optimal therapies is assessed a posteriori with a Monte Carlo analysis. This shows that the control policy is effective even when the initial patient conditions are affected by uncertainties.

SIAM J. Appl. Math. 71, pp. 2229-2245