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FIGURE 1:. Colloid osmotic pressure (Π) and depletion forces. (A) Discovery of colloid osmotic pressure. The diagram conceptually illustrates Starling’s colloid osmometer, where the membrane was a stretched piece of peritoneal membrane and the macromolecule solution was blood plasma (Starling, 1896). The effective pore size depends on the diameter of the holes in the membrane, which permit free exchange of water and ions but not proteins. (B) Illustration of Asakura and Oosawa’s depletion force theory (Asakura and Oosawa, 1954). Two plates are immersed in a solution of macromolecule. When the plates approach closer than the hydrodynamic radius of the macromolecule, it is depleted (or excluded). Because there is now pure solvent (plus ions) between the plates, the solution outside the depleted region exerts a force per unit area which is given by the colloid osmotic pressure Π. The effective pore size is the distance between the plates when the depletion force starts to act. Depletion forces are related to “excluded volume effects,†although conceptually different formalisms are used to describe them (Rivas and Minton, 2018). (C) Compression of aligned DNA helices by PEG, as measured by x-ray diffraction (Podgornik et al., 1995). This is a practical implementation of Asakura and Oosawa’s theory. The effective pore size depends on the spaces in the lattice. (D) Phase separation of a disordered protein or RNA promoted by a crowding agent. The circles represent sites of weak, cohesive bonding. The effective pore size depends on the gaps between the macromolecules in the condensed phase. Note that phase separation involves demixing as well as compression, and the physics of the two processes are distinct (see the text).
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FIGURE 2:. Effect of solute size and complex formation on osmotic and crowding activities. (A) Ions and small molecules exert osmotic pressure proportional to their concentration according to the van’t Hoff equation in both dilute and concentrated regimes. They no not exert depletion forces or crowding activity because they are smaller than the effective pore size of protein and nucleic acid aggregates. (B) Macromolecules exert colloid osmotic pressure according to the linear van’t Hoff equation in the dilute regime (B1). However, they become crowded at fairly low concentration due to their large size (B2). Once crowded, osmotic pressure begins to increase as a second or third power of concentration due to contact between molecules. Unstructured polymers like PEG or intrinsically disordered proteins become crowded at lower concentrations than globular proteins because of their less compact architecture. (C) Complex formation decreases osmotic and crowding activities of macromolecules and may account for a relatively low colloid osmotic pressures inside cells. The boxes contain as many monomers as in B but packaged into tetramers.
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FIGURE 3:. Osmometers for measurement of colloid osmotic pressure inside cells. (A) The cell nucleus as an osmometer (Harding and Feldherr, 1959). The cytoplasm of frog (Xenopus) oocytes was injected with a test solution containing isotonic salt and a variable concentration of PVP or BSA. If the test solution had a colloid osmotic pressure lower than that of cytoplasm, then the nucleus swelled; if higher, then it shrank. The pore size is governed by the molecular weight cut-off of nuclear pores. (B) Axoplasm extruded from the squid giant axon as a gel osmomoter (Spyropoulos, 1979). The axoplasmic gel shrinks if the ficoll test solution has a colloid osmotic pressure greater than the gel. The pore size depends on the physical properties of the gel. (C) FRET-based molecular osmometer (Liu et al., 2017). Increased colloid osmotic pressure causes the two fluorescent proteins to move closer together on average, leading to increased FRET. The pore size and dynamic range depend on the dimensions and molecular dynamics of the sensor and can be tuned by the structure of the arms. Versions of this sensor published so far had midpoints at considerably higher pressures than the inside of cells.
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FIGURE 4:. Osmotic model for nuclear morphology. The nuclear envelope (black lines) is a double lipid bilayer perforated by nuclear pores whose outer membrane is contiguous with the endoplasmic reticulum (ER). NLS protein are imported though nuclear pores (gaps) by an energy-coupled, facilitated diffusion process based on Ran, importins, and exportins (also called karyopherins) (blue arrows and text) (Schmidt and Görlich, 2016). We hypothesize the spherical shape is generated by a higher colloid osmotic pressure inside vs. outside (Πin > Πout) opposed by a surface tension (red arrows). Cytoplasmic crowding contributes to Πout and nuclear crowding to Πin. Surface tension is distributed between the lipid bilayers of the nuclear envelope and the nuclear lamina (green), which is a dynamic network of intermediate filaments. Membrane connections between the nuclear envelope and the ER allow lipid flow, which may regulate tension and allow nuclear growth (red arrow). Inflation of the nucleus by Πin is an example of colloid osmotic pressure performing mechanical work inside the cell. This model was inspired by observations in Xenopus egg extract. Similar models have been proposed to account for the response of tissue culture cell nuclei to osmotic and mechanical perturbations (Finan and Guilak, 2010; Kim et al., 2016).
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FIGURE 1:. Colloid osmotic pressure (Π) and depletion forces. (A) Discovery of colloid osmotic pressure. The diagram conceptually illustrates Starling’s colloid osmometer, where the membrane was a stretched piece of peritoneal membrane and the macromolecule solution was blood plasma (Starling, 1896). The effective pore size depends on the diameter of the holes in the membrane, which permit free exchange of water and ions but not proteins. (B) Illustration of Asakura and Oosawa’s depletion force theory (Asakura and Oosawa, 1954). Two plates are immersed in a solution of macromolecule. When the plates approach closer than the hydrodynamic radius of the macromolecule, it is depleted (or excluded). Because there is now pure solvent (plus ions) between the plates, the solution outside the depleted region exerts a force per unit area which is given by the colloid osmotic pressure Π. The effective pore size is the distance between the plates when the depletion force starts to act. Depletion forces are related to “excluded volume effects,” although conceptually different formalisms are used to describe them (Rivas and Minton, 2018). (C) Compression of aligned DNA helices by PEG, as measured by x-ray diffraction (Podgornik et al., 1995). This is a practical implementation of Asakura and Oosawa’s theory. The effective pore size depends on the spaces in the lattice. (D) Phase separation of a disordered protein or RNA promoted by a crowding agent. The circles represent sites of weak, cohesive bonding. The effective pore size depends on the gaps between the macromolecules in the condensed phase. Note that phase separation involves demixing as well as compression, and the physics of the two processes are distinct (see the text).
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FIGURE 2:. Effect of solute size and complex formation on osmotic and crowding activities. (A) Ions and small molecules exert osmotic pressure proportional to their concentration according to the van’t Hoff equation in both dilute and concentrated regimes. They no not exert depletion forces or crowding activity because they are smaller than the effective pore size of protein and nucleic acid aggregates. (B) Macromolecules exert colloid osmotic pressure according to the linear van’t Hoff equation in the dilute regime (B1). However, they become crowded at fairly low concentration due to their large size (B2). Once crowded, osmotic pressure begins to increase as a second or third power of concentration due to contact between molecules. Unstructured polymers like PEG or intrinsically disordered proteins become crowded at lower concentrations than globular proteins because of their less compact architecture. (C) Complex formation decreases osmotic and crowding activities of macromolecules and may account for a relatively low colloid osmotic pressures inside cells. The boxes contain as many monomers as in B but packaged into tetramers.
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FIGURE 3:. Osmometers for measurement of colloid osmotic pressure inside cells. (A) The cell nucleus as an osmometer (Harding and Feldherr, 1959). The cytoplasm of frog (Xenopus) oocytes was injected with a test solution containing isotonic salt and a variable concentration of PVP or BSA. If the test solution had a colloid osmotic pressure lower than that of cytoplasm, then the nucleus swelled; if higher, then it shrank. The pore size is governed by the molecular weight cut-off of nuclear pores. (B) Axoplasm extruded from the squid giant axon as a gel osmomoter (Spyropoulos, 1979). The axoplasmic gel shrinks if the ficoll test solution has a colloid osmotic pressure greater than the gel. The pore size depends on the physical properties of the gel. (C) FRET-based molecular osmometer (Liu et al., 2017). Increased colloid osmotic pressure causes the two fluorescent proteins to move closer together on average, leading to increased FRET. The pore size and dynamic range depend on the dimensions and molecular dynamics of the sensor and can be tuned by the structure of the arms. Versions of this sensor published so far had midpoints at considerably higher pressures than the inside of cells.
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FIGURE 4:. Osmotic model for nuclear morphology. The nuclear envelope (black lines) is a double lipid bilayer perforated by nuclear pores whose outer membrane is contiguous with the endoplasmic reticulum (ER). NLS protein are imported though nuclear pores (gaps) by an energy-coupled, facilitated diffusion process based on Ran, importins, and exportins (also called karyopherins) (blue arrows and text) (Schmidt and Görlich, 2016). We hypothesize the spherical shape is generated by a higher colloid osmotic pressure inside vs. outside (Πin > Πout) opposed by a surface tension (red arrows). Cytoplasmic crowding contributes to Πout and nuclear crowding to Πin. Surface tension is distributed between the lipid bilayers of the nuclear envelope and the nuclear lamina (green), which is a dynamic network of intermediate filaments. Membrane connections between the nuclear envelope and the ER allow lipid flow, which may regulate tension and allow nuclear growth (red arrow). Inflation of the nucleus by Πin is an example of colloid osmotic pressure performing mechanical work inside the cell. This model was inspired by observations in Xenopus egg extract. Similar models have been proposed to account for the response of tissue culture cell nuclei to osmotic and mechanical perturbations (Finan and Guilak, 2010; Kim et al., 2016).
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