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Mathematical descriptions of molecular diffusion
particle's concentration gradient. Fick's second law: Prediction of change in concentration gradient with time due to diffusion. A diffusion process that obeys
Fick's_laws_of_diffusion
Gradient in the rates of molecular diffusion
A diffusion gradient is a gradient in the rates of diffusion of multiple groups of molecules through a medium or substrate. The groups of molecules may
Diffusion_gradient
Method of utilizing water in magnetic resonance imaging
or more gradient directions, sufficient to compute the diffusion tensor. The diffusion tensor model is a rather simple model of the diffusion process
Diffusion-weighted magnetic resonance imaging
Diffusion-weighted_magnetic_resonance_imaging
Transport of dissolved species from the highest to the lowest concentration region
higher concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemical potential. It is possible
Diffusion
Technique for the generative modeling of a continuous probability distribution
In machine learning, diffusion models, also known as diffusion-based generative models or score-based generative models, are a class of latent variable
Diffusion_model
Mixing of fluids due to eddy currents
direction. This down-gradient flux equilibrates the concentration profile over time. This phenomenon is called molecular diffusion, and its mathematical
Eddy_diffusion
Net transport of atoms through a solid
governed by the diffusivity and the concentration gradient. In the crystal solid state, diffusion within the crystal lattice occurs by either interstitial
Atomic_diffusion
Biological model
develop external to the mother. Diffusion gradients do not scale well yet embryos come in variety of sizes. Diffusion gradients follow the superposition principle
French_flag_model
Transport that does not require energy
termed as the concentration gradient, and diffusion will continue until this gradient has been eliminated. Since diffusion moves materials from an area
Passive_transport
Gradient of electrochemical potential, usually for an ion that can move across a membrane
generates a force that drives ion diffusion until the charges are balanced on both sides of the membrane. Electrochemical gradients are essential to the operation
Electrochemical_gradient
Proportionality constant in some physical laws
diffusion and the negative value of the gradient in the concentration of the species. More accurately, the diffusion coefficient times the local concentration
Mass_diffusivity
Machine learning technique
Gradient boosting is a machine learning technique based on boosting in a functional space, where the target is pseudo-residuals instead of residuals as
Gradient_boosting
Type of semiconductor current
concentration gradient of electrons there is a minus sign because the direction of diffusion is opposite to that of the concentration gradient The diffusion coefficient
Diffusion_current
Pulse sequence during a medical test
imaging (MRI) is a particular setting of pulse sequences and pulsed field gradients, resulting in a particular image appearance. A multiparametric MRI is
MRI_pulse_sequence
Explains movement of sap through the phloem of plants
inside the phloem at a source such as a leaf creates a diffusion gradient (osmotic gradient) that draws water into the cells from the adjacent xylem
Pressure_flow_hypothesis
Biological process
down their concentration gradient according to the principles of diffusion. Facilitated diffusion differs from simple diffusion in several ways: The transport
Facilitated_diffusion
Thermal motion of liquid or gas particles at temperatures above absolute zero
is no concentration gradient, the process of molecular diffusion has ceased and is instead governed by the process of self-diffusion, originating from the
Molecular_diffusion
Image noise reducing technique
{\displaystyle c(x,y,t)} controls the rate of diffusion and is usually chosen as a function of the image gradient so as to preserve edges in the image. Pietro
Anisotropic_diffusion
Optimization algorithm
Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e
Stochastic_gradient_descent
Optimization algorithm
Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate
Gradient_descent
Antibiotic resistant bacteria
(MIC) using standard laboratory methods, including disc diffusion, gradient strip diffusion, and automated antimicrobial susceptibility testing systems
Vancomycin-resistant Staphylococcus aureus
Vancomycin-resistant_Staphylococcus_aureus
Partial differential equation describing the evolution of temperature in a region
or as ∇2 (the divergence of the gradient), is taken in the spatial variables. The heat equation governs heat diffusion, as well as other diffusive processes
Heat_equation
Machine learning model training problem
In machine learning, the vanishing gradient problem is the problem of greatly diverging gradient magnitudes between earlier and later layers encountered
Vanishing_gradient_problem
Model for describing diffusion
The Maxwell–Stefan diffusion (or Stefan–Maxwell diffusion) is a model for describing diffusion in multicomponent systems. The equations that describe
Maxwell–Stefan_diffusion
Solid-state welding technique
the concentration gradient, which changes by only incremental amounts through the joint, and the diffusion coefficient. The diffusion coefficient is determined
Diffusion_bonding
Respiratory parameter for differential diagnosis of hypoxemia
gradient will be at or lower than the calculated value using the above equation. An abnormally increased A–a gradient suggests a defect in diffusion,
Alveolar–arterial_gradient
Combination of the diffusion and convection (advection) equations
The convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes
Convection–diffusion_equation
occurs towards regions of higher concentration gradients, opposite to that observed during diffusion. This phenomenon occurs during phase separation
Reverse_diffusion
Key morphogen in fruit fly development
develop accordingly. It is possible that it is not actually the diffusion and gradient of Dpp that patterns tissues, but instead cells that receive Dpp
Decapentaplegic
Transportation of solutes through membranes
of a compound that is moved in the direction of its gradient. As mentioned above, passive diffusion is a spontaneous phenomenon that increases the entropy
Membrane_transport
Particle detector for visualizing ionizing radiation
falls as it cools down and the cold condenser provides a steep temperature gradient. The result is a supersaturated environment. As energetic charged particles
Cloud_chamber
Particle behavior in systems of length less than the mean free path
Knudsen diffusion, named after Martin Knudsen, is a means of diffusion that occurs when the scale length of a system is comparable to or smaller than the
Knudsen_diffusion
Partial differential equation
t)}}\circ dW_{t}.} It includes an added noise-induced drift term due to diffusion gradient effects if the noise is state-dependent. This convention is more often
Fokker–Planck_equation
Specifies a range of position-dependent colors
the colors of one image to the colors of another image Diffusion curve Dither Image gradient Mach banding Ombré Palette; a finite set of colors in no
Color_gradient
Medical imaging technique
inside the body. MRI scanners use strong magnetic fields, magnetic field gradients, and radio waves to form images of the organs in the body. MRI does not
Magnetic_resonance_imaging
Computer vision framework
Gradient vector flow (GVF), a computer vision framework introduced by Chenyang Xu and Jerry L. Prince, is the vector field that is produced by a process
Gradient_vector_flow
Analytical method in electrochemistry
reduction will be diffusion-limited, thereby causing the current to drop in time (proportional to the diffusion gradient that is formed by diffusion). You can
Chronoamperometry
Movement of molecules to lower concentration
concentration side of the membrane and therefore a diffusion of water along a concentration gradient) or by a solute's attraction to water (resulting in
Osmosis
Medical imaging technique
train of gradient echoes with different spatial encoding. Multiplexed-EPI is even faster, e.g., for whole brain functional MRI (fMRI) or diffusion MRI. Image
Physics of magnetic resonance imaging
Physics_of_magnetic_resonance_imaging
Equation that describes density changes of a material that is diffusing in a medium
The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian
Diffusion_equation
Marine organism
kept inside their bodies. This high concentration of urea creates a diffusion gradient which permits the shark to absorb water in order to equalize the concentration
Osmoconformer
Method of separating particles in a mixture
purifications may be done on the basis of density through equilibrium density-gradient centrifugation. Thus, the differential centrifugation method is the successive
Differential_centrifugation
Type of MRI sequence
perfusion MRI and diffusion MRI. Rapid imaging acquisition allows it to be applied to 2D and 3D MRI imaging. Gradient echo uses magnetic gradients to generate
Gradient_echo
Process by which gases diffuse through a biological membrane
dissolved oxygen in the water as an electron acceptor. Diffusion only takes place with a concentration gradient. Gases will flow from a high concentration to a
Gas_exchange
Concept from evolutionary biology
differential diffusion of chemical species and chemical reaction. The instability mechanism is surprising because a pure diffusion, such as molecular diffusion, would
Turing_pattern
higher (i.e. less negative) water potential inside leaves, leads to a diffusion gradient across the stomatal pores of leaves, drawing water out of the leaves
Soil-plant-atmosphere continuum
Soil-plant-atmosphere_continuum
Method for numerical differential equations
mathematics, the gradient discretisation method (GDM) is a framework which contains classical and recent numerical schemes for diffusion problems of various
Gradient discretisation method
Gradient_discretisation_method
Molecular diffusion under the effect of a thermal gradient
particle types exhibit different responses to the force of a temperature gradient. This phenomenon tends to move light molecules to hot regions and heavy
Thermophoresis
Optimization algorithm for artificial neural networks
In machine learning, backpropagation is a gradient computation method commonly used for training a neural network in computing parameter updates. It is
Backpropagation
field gradient (PFG) techniques are key to magnetic resonance imaging, spatially selective spectroscopy and studies of diffusion via diffusion ordered
Pulsed_field_gradient
Theoretical modelling of decompression physiology
faster than nitrogen. The concentration gradient, can be used as a model for the driving mechanism of diffusion. In this context, inert gas refers to a
Decompression_theory
Fluid transport regime by random walk
of steep concentration gradients, density gradients, and high velocities. It occurs much more rapidly than molecular diffusion and is therefore extremely
Turbulent_diffusion
Momentum diffusion most commonly refers to the diffusion, or spread of momentum between particles (atoms or molecules) of matter, often in the fluid state
Momentum_diffusion
Component of stress coplanar with a material cross section
the relationship between near-wall velocity gradients and the local wall-shear stress. The electro-diffusional method measures the wall shear rate in the
Shear_stress
Physical phenomenon
The diffusion of plasma across a magnetic field was conjectured to follow the Bohm diffusion scaling as indicated from the early plasma experiments of
Bohm_diffusion
Method used in magnetic resonance imaging
values, allowing diffusion and perfusion effects to be separated. In the presence of the magnetic field gradient pulses of a diffusion MRI sequence, the
Intravoxel_incoherent_motion
Diffusion model over latent embedding space
The latent diffusion model (LDM) is a diffusion model architecture developed by the CompVis (Computer Vision & Learning) group at LMU Munich. Introduced
Latent_diffusion_model
Uranium processed to increase the percentage of uranium-235
process. These aerodynamic separation processes depend upon diffusion driven by pressure gradients, as does the gas centrifuge. They in general have the disadvantage
Enriched_uranium
Film of microorganisms on a surface
process is influenced by the interactions of microbial metabolism and diffusion gradient in pH levels, dissolved inorganic carbon, oxygen, and ion concentration
Biofilm
Glucose being transported from the blood into cells
gradient. Secondary Active Transport is transport of a solute in the direction of increasing electrochemical potential via the facilitated diffusion of
Glucose_uptake
Material used in dentistry as a filling material
acid begins to ionise, and becoming negatively charged it sets up a diffusion gradient and helps draw cations out of the glass and dentine. The alkalinity
Glass_ionomer_cement
Demographic concept
In demography, demic diffusion, as opposed to trans-cultural diffusion, is a model of human migration developed by Luigi Luca Cavalli-Sforza. It originally
Demic_diffusion
electromembrane processes, the potential drop in the diffusion boundary layers reduces the gradient of electric potential in the membrane. Lower rate of
Concentration_polarization
Noise that reduces quantization error
detail well, but very light and dark areas may appear blown out. Gradient-based error-diffusion dithering was developed in 2016 to remove the structural artifact
Dither
In mathematics, a reversible diffusion is a specific example of a reversible stochastic process. Reversible diffusions have an elegant characterization
Reversible_diffusion
Absorption of liquid by a colloid
Imbibition can also be said as a type of diffusion since water movement is along the concentration gradient. Seeds and other such materials have almost
Imbibition
Reaction rate equals rate of transport
Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through
Diffusion-controlled_reaction
Medical condition
the peritoneum. High glucose concentrations promote osmosis and diffusion gradients across the peritoneum, while low pH inhibits the production of harmful
Encapsulating peritoneal sclerosis
Encapsulating_peritoneal_sclerosis
Mass diffusivity of a chemical species without a chemical potential gradient
Self-diffusion describes the diffusive motions of molecules within themselves e.g. the movement of a water molecule in water. According to the IUPAC definition
Self-diffusion
Science of using a material's refractive index for optical effects
to give a refractive gradient. Ion exchange – Glass is immersed into a liquid melt with lithium ions. As a result of diffusion, sodium ions in the glass
Gradient-index_optics
Formula relating stochastic processes to partial differential equations
time t {\displaystyle t} of a particle that evolves according to the diffusion process d X t = μ ( X t , t ) d t + σ ( X t , t ) d W t . {\displaystyle
Feynman–Kac_formula
Concept in fluid dynamics
of transport of diffusion. The Marangoni effect is flow of a liquid due to gradients in the surface tension of the liquid. Diffusion is of whatever is
Marangoni_number
Topics referred to by the same term
Thermal diffusion may refer to: A thermal force on a gas due to a temperature gradient, also called thermal diffusion or Thermal transpiration. It is
Thermal_diffusion
Static membrane potential in biology
much higher than that for other ions, and because of the strong chemical gradient for potassium, potassium ions flow from the cytosol out to the extracellular
Resting_potential
Convection with two density gradients
form of convection driven by two different density gradients, which have different rates of diffusion. Convection in fluids is driven by density variations
Double_diffusive_convection
Direct extension and penetration by cancer cells into neighboring tissues
The growth factors and chemokines produced by stromal cells form a diffusion gradient and induce cell polarization. Involvement of chemokines, such as SDF1
Invasion_(cancer)
Equation describing the flow of a fluid through a porous medium
conduction, Ohm's law in the field of electrical networks, and Fick's law in diffusion theory. Since the 1830s, French hydraulic engineer Henry Darcy studied
Darcy's_law
Two-dimensional vector image file format
new gradient capabilities to SVG in the next version, and we are looking into diffusion curves, which I think will meet your needs ... *Diffusion curves*
SVG
Technique used in stochastic gradient variational inference
The reparameterization trick (aka "reparameterization gradient estimator") is a technique used in statistical machine learning, particularly in variational
Reparameterization_trick
Equation used in cyclic voltammetry
electrode is limited by the diffusion of species to the electrode surface. This diffusion flux is influenced by the concentration gradient near the electrode.
Randles–Sevcik_equation
Movement of charge carriers due to the applied electric field
(for a more general discussion). See drift–diffusion equation for the way that the drift current, diffusion current, and carrier generation and recombination
Drift_current
Measure of water potential across a semi-permeable cell membrane
neither swells nor shrinks because there is no concentration gradient to induce the diffusion of large amounts of water across the cell membrane. Water molecules
Tonicity
Process by which heat is transferred within an object
Thermal conduction is the diffusion of thermal energy (heat) within one material or between materials in contact. The higher temperature object has molecules
Thermal_conduction
Environmental chemistry technique
Zhang H, Davison W (October 1995). "Performance Characteristics of Diffusion Gradients in Thin Films for the in Situ Measurement of Trace Metals in Aqueous
Diffusive gradients in thin films
Diffusive_gradients_in_thin_films
Field of machine learning
The two approaches available are gradient-based and gradient-free methods. Gradient-based methods (policy gradient methods) start with a mapping from
Reinforcement_learning
Method of machine learning
out-of-core versions of machine learning algorithms, for example, stochastic gradient descent. When combined with backpropagation, this is currently the de facto
Online_machine_learning
Process of separating molecules
dialysis. Diffusion dialysis is a spontaneous separation process where the driving force which produces the separation is the concentration gradient. It has
Dialysis_(chemistry)
Fluid flow driven by interface effects
mean flow is the Stefan flow. When concentration gradients of the species are also present, diffusion transports the species relative to the mean flow
Stefan_flow
Concept in mathematics
In numerical linear algebra, the biconjugate gradient stabilized method, often abbreviated as BiCGSTAB, is an iterative method developed by H. A. van der
Biconjugate gradient stabilized method
Biconjugate_gradient_stabilized_method
or color images. Until 2010, isotropic diffusion was used for image reconstructions. The topological gradient is also able to provide edge orientation
Topological_derivative
Region of a star
effective radiative diffusion is at transporting energy. A high opacity or high luminosity can cause a high temperature gradient, which results from a
Radiative_zone
Device that performs isotope separation of gases
molecules so that particles of different masses are physically separated in a gradient along the radius of a rotating container. A prominent use of gas centrifuges
Gas_centrifuge
Physical phenomenon
In plasma physics, plasma diffusion is the transport of charged particles in a plasma resulting from spatial gradients in particle density and, in many
Plasma_diffusion
Effect of anesthesia
The Fink effect, also known as "diffusion anoxia", "diffusion hypoxia", or the "second gas effect", is a factor that influences the pO2 (partial pressure
Fink_effect
Device that converts heat flux into electrical energy
thermal gradient formed between two different conductors can produce electricity. At the heart of the thermoelectric effect is that a temperature gradient in
Thermoelectric_generator
Mathematical model for describing material deformation under stress
around a point. Two types of deformation gradient tensor may be defined. The material deformation gradient tensor F ( X , t ) = F j K e j ⊗ I K {\displaystyle
Finite_strain_theory
Atomic diffusion within a crystalline lattice
In condensed matter physics, lattice diffusion (also called bulk or volume diffusion) refers to atomic diffusion within a crystalline lattice, which occurs
Lattice_diffusion_coefficient
Membrane protein involved in transportation
transports molecules or ions along their concentration gradient. Osmosis is the passive diffusion of water across a cell membrane from an area of high concentration
Membrane_transport_protein
molecule diffusing through the spaces around cells, often relying on a diffusion gradient forming part of the signalling response. Complex organisms may have
Intercellular_communication
Physical Process
Surface diffusion is a general process involving the motion of adatoms, molecules, and atomic clusters (adparticles) at solid material surfaces. The process
Surface_diffusion
DIFFUSION GRADIENT
DIFFUSION GRADIENT
Boy/Male
Biblical
Diffusion; inclination; theft.
Girl/Female
Muslim
The effusion of them, A high heap
Boy/Male
Biblical
Diffusion; inclination; theft.
Biblical
the effusion of them; a high heap;watchful;
Biblical
effusion; inclination; theft
Boy/Male
Christian, German, Indian
The Effusion of them; A High Heap
Girl/Female
Andhra, Gujarati, Hindu, Indian, Marathi, Oriya, Punjabi, Sikh, Tamil, Telugu
Radiance; Diffusing Light; Goddess Lakshmi; Money; Bright Light; Beautiful; Intelligent; Thankful; Modest
Boy/Male
Indian, Telugu
Radiance; Diffusing Light
Biblical
effusion of blood
Girl/Female
Biblical
Effusion of blood.
DIFFUSION GRADIENT
DIFFUSION GRADIENT
Boy/Male
Australian, German, Polish
To Dispel Anger; To Get Rid of Anger; Dispels Anger
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
The Lord of the World Vishnu; Lord of the Earth; Lord of the Universe; Lord Vishnu
Girl/Female
French
Victory.
Boy/Male
Hindu, Indian, Marathi
Very Generous
Girl/Female
Bengali, Indian, Kannada
Lord Vishnu
Boy/Male
Spanish
From the city.
Boy/Male
Indian, Sanskrit
Conqueror of the Heart
Boy/Male
British, English
Place Name; The Awesome One's Meadow
Boy/Male
Tamil
Boy/Male
Tamil
Love
DIFFUSION GRADIENT
DIFFUSION GRADIENT
DIFFUSION GRADIENT
DIFFUSION GRADIENT
DIFFUSION GRADIENT
n.
One opposed to the diffusion of knowledge; an obscuriantist.
n.
Infusion.
n.
The act of passing by osmosis through animal membranes, as in the distribution of poisons, gases, etc., through the body. Unlike absorption, diffusion may go on after death, that is, after the blood ceases to circulate.
a.
Prepared by diffusion through an animal membrane; as, dialyzed iron.
a.
Having power to diffuse itself; diffusing itself.
a.
Expansive; diffusive.
a.
Having the quality of diffusing; capable of spreading every way by flowing; spreading widely; widely reaching; copious; diffuse.
n.
A flowing in; infusion.
a.
Diffusing odor or scent; fragrant.
n.
The act or process of suffusing, or state of being suffused; an overspreading.
v. t.
The act of infusing, pouring in, or instilling; instillation; as, the infusion of good principles into the mind; the infusion of ardor or zeal.
n.
The act of pouring out; as, effusion of water, of blood, of grace, of words, and the like.
n.
That with which a thing is suffused.
n.
A decoction or infusion.
n.
The act of diffusing, or the state of being diffused; a spreading; extension; dissemination; circulation; dispersion.
n.
Act or state of swimming; suffusion.
adv.
In a diffusive manner.
n.
A blending of one color into another; the spreading of one color over another, as on the feathers of birds.
n.
Effusion; loss.
n.
The emission and diffusion of rays of light.