A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system

Abstract

We present a preliminary first-pass dynamic model for delivery of drug compounds to the lungs and heart. We use a compartmental mass balance approach to develop a system of nonlinear differential equations for mass accumulated in the heart as a result of intravenous injection. We discuss sensitivity analysis as well as methodology for minimizing mass in the heart while maximizing mass delivered to the lungs on a first circulatory pass.

Integrative lymph node-mimicking models created with biomaterials and computational tools to study the immune system

“…Inclusion of partial-differential equations can include some spatially dependent characteristics such as diffusion. (1) Cancer diseases biology [ 120 , 121 ]; (2) Immunology and immunotherapy [ [122] , [123] , [124] , [125] , [126] , [127] , [128] ]; (3) Virus infection [ 129 ]; (4) Pharmacodynamics [ 130 ]; (5) Organ disease [ 131 ]; (6) Vascular network [ 132 ] Hybrid multiscale model Integrative model combining several kinds of computational models. (1) Vascular network [ [133] , [134] , [135] ]; (2) Cancer and therapy [ 113 , [136] , [137] , [138] , [139] ]; (3) Disease model [ 140 ]; (4) Immune system (cell and organ) [ 141 ] Lattice model e Model established on a 2D/3D lattice (or grid), as opposed to the continuum of spatial or spatio-temporal coordinates (off-lattice model).…”