title: Mathematical modeling in wound healing, bone regeneration and tissue engineering.
abstract: The processes of wound healing and bone regeneration and problems in tissue engineering have been an active area for mathematical modeling in the last decade. Here we review a selection of recent models which aim at deriving strategies for improved healing. In wound healing, the models have particularly focused on the inflammatory response in order to improve the healing of chronic wound. For bone regeneration, the mathematical models have been applied to design optimal and new treatment strategies for normal and specific cases of impaired fracture healing. For the field of tissue engineering, we focus on mathematical models that analyze the interplay between cells and their biochemical cues within the scaffold to ensure optimal nutrient transport and maximal tissue production. Finally, we briefly comment on numerical issues arising from simulations of these mathematical models.
authors.affiliation: Division of Biomechanics and Engineering Design, Katholieke Universiteit Leuven, Celestijnenlaan 300 (2419), BE 3001 Leuven, Belgium. liesbet.geris@ulg.ac.be
authors.forename: Liesbet
authors.initials: L
authors.lastname: Geris
authors.forename: Alf
authors.initials: A
authors.lastname: Gerisch
authors.forename: Richard C
authors.initials: RC
authors.lastname: Schugart
mesh_terms: D000818:Animals; D001861:Bone Regeneration; D006801:Humans; D008954:Models, Biological; D023822:Tissue Engineering; D014945:Wound Healing