TY - JOUR
T1 - Mathematical modeling of morphogenesis in living materials
AU - Balbi, Valentina
AU - Ciarletta, Pasquale
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - From a mathematical viewpoint, the study of morphogenesis focuses on the description of all geometric and structural changes which locally orchestrate the underlying biological processes directing the formation of a macroscopic shape in living matter. In this chapter, we introduce a continuous chemo-mechanical approach of morphogenesis, deriving the balance principles and evolution laws for both volumetric and interfacial processes. The proposed theory is applied to the study of pattern formation for either a fluid-like or a solid-like biological system model, using both theoretical methods and simulation tools.
AB - From a mathematical viewpoint, the study of morphogenesis focuses on the description of all geometric and structural changes which locally orchestrate the underlying biological processes directing the formation of a macroscopic shape in living matter. In this chapter, we introduce a continuous chemo-mechanical approach of morphogenesis, deriving the balance principles and evolution laws for both volumetric and interfacial processes. The proposed theory is applied to the study of pattern formation for either a fluid-like or a solid-like biological system model, using both theoretical methods and simulation tools.
UR - http://www.scopus.com/inward/record.url?scp=84995614861&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-42679-2_4
DO - 10.1007/978-3-319-42679-2_4
M3 - Article
AN - SCOPUS:84995614861
SN - 0075-8434
VL - 2167
SP - 211
EP - 274
JO - Lecture Notes in Mathematics
JF - Lecture Notes in Mathematics
ER -