Modeling force application configurations and morphologies required for cancer cell invasion

Biomechanics and Modeling in Mechanobiology - We show that cell-applied, normal mechanical stresses are required for cells to penetrate into soft substrates, matching experimental observations in...     

A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes

The phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.

     

Flow Patterns Around the Carapaces of Rigid-bodied, Multi-propulsor Boxfishes (Teleostei: Ostraciidae)

Boxfishes (Teleostei: Ostraciidae) are rigid-body, multi-propulsorswimmers that exhibit unusually small amplitude recoil movementsduring rectilinear locomotion. Mechanisms producing the smoothswimming trajectories of these fishes are unknown, however.Therefore, we have studied the roles the bony carapaces of thesefishes play in generating this dynamic stability. Features ofthe carapaces of four morphologically distinct species of boxfisheswere measured, and anatomically-exact stereolithographic modelsof the boxfishes were constructed. Flow patterns around eachmodel were investigated using three methods: 1) digital particleimage velocimetry (DPIV), 2) pressure distribution measurements,and 3) force balance measurements. Significant differences inboth cross-sectional and longitudinal carapace morphology weredetected among the four species. However, results from the threeinterrelated approaches indicate that flow patterns around thevarious carapaces are remarkably similar. DPIV results revealedthat the keels of all boxfishes generate strong longitudinalvortices that vary in strength and position with angle of attack.In areas where attached, concentrated vorticity was detectedusing DPIV, low pressure also was detected at the carapace surfaceusing pressure sensors. Predictions of the effects of both observedvortical flow patterns and pressure distributions on the carapacewere consistent with actual forces and moments measured usingthe force balance. Most notably, the three complementary experimentalapproaches consistently indicate that the ventral keels of allboxfishes, and in some species the dorsal keels as well, effectivelygenerate self-correcting forces for pitching motions—acharacteristic that is advantageous for the highly variablevelocity fields in which these fishes reside.     

Jumping without using legs: the jump of the click-beetles (Elateridae) is morphologically constrained

To return to their feet, inverted click-beetles (Elateridae) jump without using their legs. When a beetle is resting on its dorsal side, a hinge mechanism is locked to store elastic energy in the body and releases it abruptly to launch the beetle into the air. While the functional morphology of the jumping mechanism is well known, the level of control that the beetle has over this jumping technique and the mechanical constraints governing the jumps are not entirely clear. Here we show that while body rotations in air are highly variable, the jumps are morphologically constrained to a constant “takeoff” angle (79.9°±1.56°, n = 9 beetles) that directs 98% of the jumping force vertically against gravity. A physical-mathematical model of the jumping action, combined with measurements from live beetle, imply that the beetle may control the speed at takeoff but not the jumping angle. In addition, the model shows that very subtle changes in the exact point of contact with the ground can explain the vigorous rotations of the body seen while the beetle is airborne. These findings suggest that the evolution of this unique non-legged jumping mechanism resulted in a jumping technique that is capable of launching the body high into the air but it is too constrained and unstable to allow control of body orientation at landing.     

A modified Bläzka–type respirometer for the study of swimming metabolism in fishes having deep, laterally compressed bodies or unusual locomotor modes

A low volume (8·4 l), rectangular (cross–section) respirometer modified from a Bläzka–type coaxial circuit, which provides rectilinear flow at speeds up to 0·36 m s^–1, is described.     

A model for cell migration in non-isotropic fibrin networks with an application to pancreatic tumor islets

Cell migration, known as an orchestrated movement of cells, is crucially important for wound healing, tumor growth, immune response as well as other biomedical processes. This paper presents a cell-based model to describe cell migration in non-isotropic fibrin networks around pancreatic tumor islets. This migration is determined by the mechanical strain energy density as well as cytokines-driven chemotaxis. Cell displacement is modeled by solving a large system of ordinary stochastic differential equations where the stochastic parts result from random walk. The stochastic differential equations are solved by the use of the classical Euler–Maruyama method. In this paper, the influence of anisotropic stromal extracellular matrix in pancreatic tumor islets on T-lymphocytes migration in different immune systems is investigated. As a result, tumor peripheral stromal extracellular matrix impedes the immune response of T-lymphocytes through changing direction of their migration.     

Energetic advantages of burst swimming of fish

It is shown theoretically that fish can swim more efficiently by alternating periods of accelerated motion and powerless gliding. Analysis of the mechanics of swimming shows that large savings of over 50% in the energy required to traverse a given distance can be obtained by such means. In calculations based upon measured data for salmon and haddock, the possibility of range increases of up to three times the range at constant speed are demonstrated.